Birmingham City Schools 1
Revised June 2010
Birmingham City Schools
Middle School
Seventh Grade Pre-AP Pre-Algebra and Pre- Algebra
Teacher Resource Packet
Table of Contents
TOPIC PAGE
Suggested Notebook Guidelines 2
Course of Study: Mathematics Pre-Algebra (8th Grade Adopted 2003) 3
Course of Study: Mathematics Seventh Grade (Adopted 2003) 9
Alabama Reading and Mathematics Test Blueprint and Fact Sheet 13
Alabama High School Graduation Exam Mathematics Objectives 15
AHSGE: Reference Page 16
AHSGE: Mathematics Preparation Tips 17
AHSGE: Mathematics Test Taking Tips 18
AHSGE: Mathematics Standards Explained 19
Birmingham City Schools AHSGE: Mathematics Documentation Forms 21
Pre-Algebra Pacing Comments 24
Pre-AP Pre-Algebra First Semester Objectives 25
Pre-AP Pre-Algebra Grade 7 Pacing Guide Semester 1 26
Pre-AP Pre-Algebra Second Semester Objectives 46
Pre-AP Pre-Algebra Grade 7 Pacing Guide Semester 2 47
Pre-Algebra First Semester Objectives 68
Pre-Algebra Grade 7 Pacing Guide Semester 1 69
Pre-Algebra Second Semester Objectives 89
Pre-Algebra Grade 7 Pacing Guide Semester 2 90
Seventh Grade SpringBoard Instructional Units 111
Laying the Foundation Pre-AP Instructional Units
Birmingham City Schools Calendar 2011 – 2012 113
Birmingham City Schools Revised July 2004
Mathematics Department
2
Suggested Notebook Guidelines for
Improved Student Performance in Mathematics
1. Use pencil which will allow for easy corrections.
2. Each day use a heading that states the objective for that day.
3. Date all class notes.
4. Begin each day’s notes on a new side of paper.
5. Write down all sample problems and important figures and definitions.
6. Use dividers or separate your notebook into the following sections:
Class Notes and Vocabulary
Homework
Daily Assignments
7. Become familiar with the Notebook Evaluation Form that will be used to
check your notebook.
Date: Very
Good
Good Needs
Improvement
Thoroughness
Accuracy
Organization
Neatness
8. The first notebook check this year will be completed by each student, using
“+” or “-”.
Subsequent notebook checks will be done by the classroom teacher, at
announced and un-announced times during each grading period.
Alabama Course of Study: Mathematics
3
3
SIXTH – EIGHTH GRADE
OVERVIEW
Students in Grades 6-8 mature and progress at varied rates and are sensitive to peer perceptions;
therefore, a supportive classroom environment where students feel comfortable sharing ideas is a
priority. Classroom learning experiences are enhanced through interactions in which students
learn to develop reasoning skills and evaluate their own thinking and the thinking of others.
The main focus of the mathematics program in the middle grades is to provide a coherent,
integrated curriculum that enables all students in Grades 6-8 to recognize and apply mathematics
in contexts outside the classroom. Middle school students acquire a solid foundation for high
school mathematics by making a transition from concrete topics to abstract concepts. Through
the use of manipulatives, social interaction, mathematical discourse, and a variety of
technological tools, students engage in mathematical investigations, propose ideas and
conjectures, and make generalizations. A challenging curriculum and a supportive environment
encourage middle school students to be actively involved in their own mathematical learning.
The mathematics program in Grades 6-8 plays a key role in preparing students for high school
mathematics and further study. This curriculum integrates algebraic and geometric concepts into
other mathematical topics. By enabling students to make connections between these topics,
algebraic and geometric thinking skills are developed. Instruction focuses on rational numbers
and algebraic, geometric, and proportional reasoning concepts in order to provide students with
the necessary prerequisite skills for success in high school mathematics courses.
Embedded in the content standards of Number and Operations, Algebra, Geometry,
Measurement, and Data Analysis and Probability are the important process standards of Problem
Solving, Reasoning and Proof, Communication, Connections, and Representation. These
process standards are integrated throughout the middle grades curriculum to deepen students’
understanding of mathematical concepts. Students become good problem solvers with a
mathematical foundation that allows them to choose problem-solving techniques appropriate for
a situation, communicate the reasoning for these choices, and identify the methods used to
determine the results. The teacher plays a key role in helping students develop the skills needed
for reasoning and proof. Students are better able to make conjectures and arguments when they
are encouraged to verbalize, illustrate, or record their mathematical thought processes. By
listening to or reading the mathematical thinking processes of their classmates, students are
encouraged to communicate and to learn from each other.
Mathematical discussion becomes more complex in the middle grades. Students are expected to
use mathematical vocabulary as they explain their reasoning. Students who are taught the
connectedness of mathematical concepts will learn to use these concepts to build upon their own
mathematical knowledge, rather than attempt to memorize many isolated facts/formulas, an
exhaustive and perhaps impossible task in the middle grades. Representing mathematical
concepts in various ways allows students to use modeling to solve complex problems. When
students realize that algebra makes the problem-solving process much more efficient, they see
the interconnectedness of mathematics with the real world. Through this curriculum, middle-
Alabama Course of Study: Mathematics
4
4
grades students form positive attitudes about mathematics that contribute to decisions to pursue
further study of mathematics and ultimately enhance their life opportunities.
The content of the mathematics program for Grade 7, Grade 8, and Algebra I is significantly
different from one grade or course to another. School systems may offer Algebra I in Grade 8.
However, eighth-grade students taking Algebra I need an in-depth knowledge of the
mathematical concepts taught in Grades 7 and 8. Careful consideration should be given before
placing Grade 8 students in Algebra I rather than requiring them to complete the Grade 8
mathematics course.
8th
Alabama Course of Study: Mathematics
EIGHTH GRADE (Pre-Algebra)
Students in Grade 8 are independent thinkers. They can apply prior knowledge to new situations
but may need to be guided through the learning process by continuing the use of hands-on
materials, mathematical discourse, and technology. These students have the ability to take
ownership of their own mathematical learning and need opportunities to explore and investigate
mathematical concepts. Students in Grade 8 also need to be provided with instruction that
includes a balance between skill development and mathematical understanding.
The major focus of the eighth-grade curriculum is the integration of new and prior knowledge to
solve problems dealing with all mathematical strands, with particular emphasis on algebra,
geometry, and proportional reasoning. This curriculum offers a more in-depth study of algebraic
concepts than in years past. Therefore, this course is subtitled Pre-Algebra. Students who
successfully complete the eighth grade have a thorough knowledge of the skills and concepts
necessary for the study of Algebra I. High school credit may not be awarded for this course.
Number and Operations
Students will:
1. Use various strategies and operations to solve problems involving real numbers.
Using alternative representations of rational numbers
Examples: models, drawings, grids, graphs
Applying GCF, LCM, and prime and composite numbers, including justification for
the reasonableness of results, when working with rational numbers
Example: A new music store is having a grand opening. Every 20th
customer
gets a free compact disk (CD). Every 35th
customer gets a free tote
bag. The first customer to receive both gifts will be the 140th
customer, because 140 is the LCM of 20 and 35. The answer (140th
) is
reasonable because it is larger than both 20 and 35. To say that the 5th
customer, which is the GCF of 20 and 35, receives the gift is not
reasonable because it is smaller than 20 and 35.
Applying proportional reasoning
Example: The amount of rainfall recorded for a certain town in a 24-hour period
is 16 inches. Since the rain fell 2 inches every 3 hours, 24 inches of
rain will fall in 12
1days if the rain continues at the same rate.
Using vocabulary associated with sets, including union and intersection
Determining whether a number is rational or irrational
Demonstrating computational fluency with operations on rational numbers
5
8th
Alabama Course of Study: Mathematics
2. Simplify expressions containing natural number exponents by applying one or
more of the laws of exponents.
Writing numbers using scientific notation
3. Use order of operations to evaluate and simplify algebraic expressions.
Applying the substitution principle
Applying the properties of operations on rational numbers to evaluate and simplify
algebraic expressions
Algebra
4. Graph linear relations by plotting points or by using the slope and y-intercept.
Determining slopes and y-intercepts of lines
Calculating the slope of a linear relation given as a table or graph
Exhibiting conceptual understanding of various uses of variables
5. Solve problems involving linear functions.
Identifying functions from information in tables, sets of ordered pairs, equations,
graphs, and mappings
Determining the rule that defines a function
Example:
(Rule: y = 4.5x)
Classifying variables in a function as independent or dependent
Classifying relations as linear or nonlinear by examining tables, graphs, or simple
equations
6. Solve multistep linear equations, including equations requiring the use of the distributive
property.
Example: solving -3(x – 5) – 6x = 2 + 4x
Cars Washed
Input (x)
Money Made
Output (y)
1 $4.50
2 $9.00
3 $13.50
4 $18.00
6
8th
Alabama Course of Study: Mathematics
Geometry
7. Solve problems using the Pythagorean Theorem.
Applying the Triangle Inequality Theorem
Example: determining if a triangle can be formed with sides of 1 inch, 2 inches,
and 5 inches
Verifying the Pythagorean Theorem
Applying the Pythagorean Theorem to determine if a triangle is a right triangle
Applying the Pythagorean Theorem to find the missing length of a side of a right
triangle
Calculating distances on the coordinate plane using the Pythagorean Theorem
8. Compare quadrilaterals, triangles, and solids, using their properties and characteristics.
Developing mathematical arguments about the relationships among types of
quadrilaterals and triangles
Identifying angle bisectors, perpendicular bisectors, congruent angles, and congruent
figures
Constructing congruent and similar polygons, congruent angles, congruent segments,
and parallel and perpendicular lines
Measurement
9. Determine the measures of special angle pairs, including adjacent, vertical, supplementary,
and complementary angles, and angles formed by parallel lines cut by a transversal.
10. Find the perimeter and area of regular and irregular plane figures.
Example:
If x represents the length of a side of the square, write
expressions that represent the perimeter and area of the figure at
x the left.
11. Determine the surface area and volume of rectangular prisms, cylinders, and pyramids.
Estimating surface area and volume of solid figures
Determining the appropriate units of measure to describe surface area and volume
Developing formulas for determining surface area and volume of rectangular prisms,
cylinders, and pyramids
12. Determine the lengths of missing sides and measures of angles in similar and congruent
figures.
Applying proportional reasoning
Using dilations on the coordinate plane to determine measures of similar figures
Finding the ratios of the perimeters and areas of similar triangles, trapezoids, and
parallelograms
7
8th
Alabama Course of Study: Mathematics
Data Analysis and Probability
13. Interpret data from populations, using given and collected data.
Representing the data with the most appropriate graph, including box-and-whisker
plot, circle graph, and scatterplot
Making predictions by estimating the line of best fit from a scatterplot
Comparing data sets involving two populations
Determining the measure of center that is the most appropriate for a given situation
14. Determine the theoretical probability of an event.
Calculating the probability of complementary events and mutually exclusive events
Comparing experimental and theoretical probability
Computing the probability of two independent events and two dependent events
Determining the probability of an event through simulation
Example: using random numbers to find the probability of a basketball player
making six baskets in six attempts if he makes 60 percent of his shots
from the court and shoots 20 times during a game
8
Alabama Course of Study: Mathematics
9
SEVENTH GRADE
Students in seventh grade display a wide range of differences in intellectual development and
emotional maturity. As students mature, they experiment with new mathematical approaches
and concepts. The seventh-grade mathematics classroom environment encourages
communication, exploration, and risk taking that are critical as students become more confident
and learn to exist in an ever-changing world.
The seventh-grade curriculum addresses a number of important mathematical concepts. One of
the key topics is rational number operations. Seventh-grade students become fluent in rational
number operations and establish skills needed to become successful problem solvers. Solving
equations is another major focus of the curriculum as students prepare for further study of
algebra. Students continue to engage in thoughtful activities, using hands-on materials and
technology to explore important mathematical concepts included in the seventh-grade
curriculum.
Number and Operations
Students will:
1. Demonstrate computational fluency with addition, subtraction, and multiplication of
integers.
Developing algorithms for performing operations on integers
Example: determining a systematic set of steps that can be used to subtract
integers
Using inverse properties of addition and of multiplication
2. Use order of operations to evaluate numerical expressions.
Computing absolute values
Finding square roots of perfect squares through 225
Evaluating powers
Applying properties of operations to compute with integers, fractions, and decimals
3. Solve problems requiring the use of operations on rational numbers.
Describing the method used
Determining the reasonableness of results
Using percents to solve problems, including problems involving discounts, taxes,
commissions, and simple interest
Alabama Course of Study: Mathematics
10
Algebra
4. Express a pattern shown in a table, graph, or chart as an algebraic equation.
Recognizing the relationships between numerical patterns in tables and their
respective graphs in the coordinate plane
Example: recognizing the pattern illustrated in both the table and graph as y = 2x
x y 6
1 2
2 4 4
3 6
4 8
2
1 2 3 4
Determining if a constant rate of change exists in a pattern
5. Translate verbal phrases into algebraic expressions and algebraic expressions into verbal
phrases.
Exhibiting understanding of a variable as an unknown quantity
6. Solve one- and two-step equations.
Solving inequalities in one variable
Graphing solution sets of inequalities on a number line
Recognizing properties of equality
Geometry
7. Determine the transformation(s), including translations, reflections, or rotations, used to
alter the position of a polygon on the coordinate plane.
Determining the type of symmetry (rotational or line) found in a reflection or
rotation
Graphing transformations of quadrilaterals on the Cartesian plane by plotting the
vertices
Graphing figures which are similar to other figures using dilations
Alabama Course of Study: Mathematics
11
8. Recognize geometric relationships among two-dimensional and three-dimensional objects.
Drawing geometric figures when given specified components, including base and
height
Investigating properties and relationships among congruent figures
Identifying geometric ideas in settings outside the mathematics classroom
Examples: recognizing Escher drawings as examples of tessellations, the geodesic
dome as an example of triangulation, and architecture as an example of
constructing three-dimensional shapes; identifying landscape design as
an example of area
Using networks to represent and solve problems
Example: Find the number of paths from point A to point B.
A
B
Measurement
9. Solve problems involving circumference and area of circles.
Estimating circumference, diameter, and area
Determining appropriate units of measure to describe circumference, diameter, and
area
Measuring circumference and diameter using customary and metric units
Using circumference and diameter to approximate the value of π
Identifying π as an irrational number
Developing formulas for determining circumference and area
10. Find the perimeter of polygons and the area of triangles and trapezoids.
Developing formulas for determining perimeter and area of triangles and trapezoids
11. Solve problems involving ratios or rates, using proportional reasoning.
Determining the unit rate
Converting rates from one unit to another
Example: determining the number of minutes in three days
Converting units of length, weight, or capacity from metric to customary and from
customary to metric
Alabama Course of Study: Mathematics
12
Data Analysis and Probability
12. Determine measures of central tendency (mean, median, and mode) and the range using a
given set of data or graphs, including histograms, frequency tables, and stem-and-leaf plots.
Creating histograms
13. Determine the probability of a compound event.
Example: finding the probability of selecting at random a hamburger and lemonade
when choosing a sandwich and drink from two sandwich choices and three
drink choices
Representing outcomes as a list, chart, picture, or tree diagram
Determining the number of possible outcomes by using the fundamental counting
principle or other techniques
Modeling the probability of events through simulations with random numbers
Example: determining the probability of a baby being a boy by generating
random numbers, using a number cube with odd numbers representing
a boy, to simulate the outcomes
13
Alabama Reading and Mathematics Test
Grade 7 Mathematics
Content Standards Total
Points
Possible
Multiple-
Choice
Points
Possible
Gridded
Points
Possible
Open-
Ended
Points
Possible
Number and Operations 17 14 3 0
Demonstrate computational fluency with
addition, subtraction, and multiplication of
integers.
5 3 2 0
Use order of operations to evaluate
numerical expressions.
4 3 1 0
Solve problems requiring the use of
operations on rational numbers.
8 8 0 0
Algebra 12 12 0 0
Express a pattern shown in a table, graph, or
chart as an algebraic equation.
4 4 0 0
Translate verbal phrases into algebraic
expressions and algebraic expressions into
verbal phrases.
4 4 0 0
Solve one- and two-step equations. 4 4 0 0
Geometry 10 7 0 3
Determine the transformation(s) used to
alter the position of a polygon on the
coordinate plane.
4 4 0 0
Recognize geometric relationships among
two-dimensional and three-dimensional
objects.
6 3 0 3
Measurement 14 9 2 3
Solve problems involving circumference
and area of circles.
4 3 1 0
Find the perimeter of polygons and the area
of triangles and trapezoids.
4 3 1 0
Solve problems using proportional
reasoning.
6 3 0 3
Data Analysis and Probability 13 4 3 6
Determine measures of central tendency. 7 2 2 3
Determine the probability of a compound
event.
6 2 1 3
TOTAL 66 46 8 12
Multiple-choice and gridded questions are one point each. Open-ended questions are three points each.
14
ARMT Test Blueprints
Fact Sheet
Are you balancing your instructional time?
1. Find the number of questions for each grade level. (Clue: not the same as
number of points)
Grade Number of questions
6 55
7 58
8 60
2. Find the number of points for each test.
Grade Multiple choice Gridded Open-Ended Total points
6 44 7 12 63
7 46 8 12 66
8 45 10 15 70
3. List the strands and concepts for the Open-Ended questions.
Grade Strand/Concept Strand/Concept Strand/Concept Strand/Concept Strand/Concept
6
Number and
Operations Solve problems
involving decimals,
percents, fractions,
proportions.
Number and
Operations Solve problems
involving decimals,
percents, fractions,
proportions.
Measurement Solve problems
involving perimeter &
area of rectangles and
parallelograms.
Data Analysis &
Probability Interpret information
from bar graphs, line
graphs, and circle
graphs.
7
Geometry Recognize geometric
relationships among 2-
& 3-dimensional objects.
Measurement Solve problems using
proportional reasoning.
Data Analysis &
Probability Determine measures of
central tendency.
Data Analysis &
Probability Determine the
probability of a
compound event.
8
Algebra Graph linear relations by
plotting points or by
using slope and
y-intercept.
Algebra Graph linear relations by
plotting points or by
using slope and
y-intercept.
Geometry Solve problems using
the Pythagorean
Theorem.
Measurement Determine surface area
& volume of
rectangular prisms,
cylinders, & pyramids.
Data Analysis
& Probability Interpret data from
populations.
4. List the number of points received from Numbers and Operations in one column
and total number of points received from Algebra, Geometry, Measurement and Data Analysis
combined in the other column.
Grade Numbers & Operations Algebra, Geometry,
Measurement, Data Analysis
6 21 42
7 17 49
8 15 55
PATHWAYS FOR LEARNING – MATHEMATICS Revised July 2003 15
Alabama High School Graduation Exam Objectives Correlated to Pre-Algebra Grade 7
Objectives
SEMESTER
1
SEMESTER
2
NUMBER
OF ITEMS
I-1 Apply order of operations √ √ 4
I-2 Add and subtract polynomials 4
I-3 Multiply polynomials 4
I-4 Factor polynomials 4
II-1 Solve multi-step equations √ 4
II-2 Solve quadratic equations 4
II-3 Solve systems of linear equations 4
II-4 Solve multi-step inequalities √ 4
III-1 Identify functions 4
III-2 Find the range of functions 4
IV-1 Find perimeter, circumference, area, volume √ √ 4
IV-2 Find the distance, midpoint, slope √ 4
V-1, 4 Graph: Linear Equations; Common Relations √ 6
V-2 Graph lines given certain conditions √ 4
V-3 Determine solution sets of inequalities √ 4
VI-1 Translate: Verbal or Symbolic
Graph: Equations or Inequalities
6
VII-1 Apply properties and relationships between
angles
4
VII-2 Apply Pythagorean Theorem √ 4
VII-3 Apply properties of similar polygons √ √ 4
VII-4 Apply properties of geometric figures √ √ 4
VII-5 Determine measures of central tendency √ 4
VII-6 Determine probabilities √ 4
VII-7 Solve problems: Direct Variation 4
VII-8 Solve problems: Algebraic Concepts √ √ 4
TOTAL 100
16
R E F E R E N C E P A G E
Use the information below to answer questions on the Alabama High School Graduation Exam.
Some Abbreviations Used in Formulas
b1,b2 = bases of a trapezoid A = area S.A. = surface area
b = base of a polygon C = circumference V = volume
h = height or altitude r = radius B = area of the base
l = length d = diameter S = sum of interior
w = width = 3.14 angles of a convex polygon
P = perimeter n= number of sides of
symbol for a right angle D = distance a convex polygon
M = midpoint
m = the measure of an angle m = slope
Formulas
Triangle: A = 2
1 bh Distance Formula: D = 2
12
2
12 )()x(x yy
Parallelogram: A = bh Midpoint Formula: M =
2,
2
xx 2121 yy
Rectangle: A = lw Slope Formula: m =
12
12
xx
yy
Trapezoid: A = 2
1 h(b1 + b2)
Circle: C = d Sum of Measures of Interior Angles
C = 2r of a Convex Polygon: S = 180(n 2)
C = r2
Distance = rate time Quadratic Formula: x = a
4acbb2
2
Interest = principal rate time Pythagorean Theorem: c2 = a
2 + b
2
Surface Area Volume
Rectangular
Prism
S.A. = Ph + 2B
or
S.A. = 2(wh + lh + lw)
V = Bh
or
V = lwh
Cylinder S.A. = 2rh + 2r2
V = r2h
Forms of Equations
Standard form of an equation of a line: Ax + By = C
Slope-intercept form of an equation of a line: y = mx + b
Point-slope form of an equation of a line: y - y1 = m(x - x1)
17
AHSGE: MATHEMATICS PREPARATION TIPS
Teachers may…
Integrate cumulative review into assignments/tests.
Include multiple choice questions on tests.
Provide geometry practice problems with algebraic expressions as dimensions and with π (pi) in the answer.
Utilize bulletin boards to reinforce concepts being taught.
Hang posters of fast facts.
Construct word walls for vocabulary instruction.
Use spare minutes for warm-ups, “Do Nows,” problems of the day, etc.
Use function notation, f (x) for y, throughout the year.
Construct or purchase practice tests.
Emphasize how to solve inequalities when the variable is on the right and when multiplying or dividing by a negative number.
Teach converting radicals to decimal form.
Teachers should guide students to …
UNDERSTAND THE AHSGE √ Objectives and Eligible Content √ Number of questions √ NOT timed √ Acceptable forms of answers √ Arrangement of answers √ NO PENALTY for guessing √ Reference page available √ May write in test booklet or use scratch paper
Compile a file with sample questions for each objective.
Develop skills for eliminating answer choices.
Become familiar with a four-function calculator.
Take a diagnostic test to identify weaknesses.
Develop a positive attitude.
18
AHSGE: MATHEMATICS TEST TAKING SKILLS
Students should…
Listen to instructions.
Read all directions and follow them carefully.
Have a supply of #2 pencils with good erasers.
Read every word of the question (problem) and each answer choice and mark negative words.
Recognize and know the meaning of symbols.
Know about common errors made in algebra.
Look for information in the answer choices.
Decide on a strategy for guessing.
Work backward, sometimes, using the answer choices.
Analyze graph choices by √ Checking x- and y-intercepts √ Noting positive or negative slope √ Matching ordered pairs on graph to equation
Test all domain values when evaluating equations or functions.
Use geometric figures wisely: To scale or NOT? If not given, draw one and label it.
Know that unlabeled grids have scales of 1 unit.
Make sure all units of measure are the same (look at answer choices).
Learn the most common errors in algebraic computation.
Consider the quadratic formula (given on the reference page) when solving quadratic equations.
Answer all questions.
Check answers and put answers in the right place.
19
Standard 1. Students will be able to perform basic
operations on algebraic expressions. Objective 1. Apply order of operations
Please Excuse My Dear Aunt Sallie
(Parentheses, Exponents, Multiplication, Division, Addition,
Subtraction.)
Objective 2. Add and Subtract polynomials
Collect like terms. (Same variables with same exponents)
Objective 3. Multiply polynomials
Multiply coefficients & add exponents
Use distributive property
Use FOIL method
Use special products
Objective 4. Factor polynomials
Take out a common factor
Factor by reversing the FOIL method e Trial and error
Difference of two squares
Ex. x2 – 4 = (x + 2)(x – 2)
Standard II. Students will be able to solve equations and
inequalities.
Objective 1. Solve multi-step equations of the first degree
Get variable by itself by undoing the operations being done to
the variable. Undo by performing opposite operations.
Objective 2. Solve quadratic equations that are factorable.
Put equation in standard form (ax2 + bx + c = 0)
Factor completely by any means necessary
Set factors equal to zero
Solve for the variable
Objective 3. Solve systems of two linear equations
Solve by substitution or
Addition /subtraction
Objective 4. Solve multi-step inequalities of the first degree
Use the same process as solving multi-step equations except
when multiplying or dividing by a negative you must reverse
the inequality symbol.
Standard III. Students will be able to apply concepts
related to functions.
Objective 1. Identify functions
Identify a function by its graph.
(Use vertical line test.)
Identify a function by sets of ordered pairs.
(Each x value can only be paired with one y value.)
Identify a function by a function mapping.
(Each x value can is paired with a y value. Each x
value can only be paired with one y value.)
Objective 2. Find the range of functions when given the
domain
Solve the equation for y in terms of x.
Substitute values for x and find y.
The symbol f(x) means the same as y.
Standard IV. Students will be able to apply
formulas.
(Given the formula in problems)
Objective 1. Find the perimeter, circumference, area, or
volume of geometric figures.
Substitute into the formula and solve.
Objective 2. Find the distance, midpoint, or slope of line
segments when given two points.
Distance formula D = ( ) ( )x x y y2 1
2
2 1
2
Midpoint formula: MdPt =
2,
2
2121 yyxx
Slope formula: m =
12
12
xx
yy
Standard V. Students will be able to apply graphing
techniques.
Objective 1. Graph or identify graphs of linear equations.
Graph linear equations using a point plotting method
or putting equation in y = mx + b form.
The letter m is the slope and b is the y-intercept.
Go to the y-intercept and then go either up and to the
left or down and to the left according to the slope.
Lines sloping down from left to right have negative
slopes and up would be positive slopes.
Objective 2. Graph lines given certain conditions.
Same as above.
Objective 3. Determine solution sets of inequalities.
Graph the inequality as a linear equation.
Substitute a text point into the inequality to find the
solution set.
Objective 4. Identify graphs of common relations.
The equation y = b is a horizontal line
The equation x = a is a vertical line
Identify the following graphs.
y = x y = x
y = x2 y = x
Standard VI. Students will be able to represent problem
situations.
Objective 1. Translate verbal or symbolic information into
algebraic expressions or identify equations or inequalities
that represent graphs or problem situations.
Sum - addition, difference – subtraction, product –
multiplication, quotient – division.
Is – equals, of multiplication, more – add, less –
subtract
Less than <; greater than >’ at least >; at most <.
20
Standard VII. Students will be able to solve problems
involving a variety of algebraic and geometric concepts.
Objective 1. Apply properties of angles and relationships
between angles.
Acute angle – measure < 90°; right angle – measure = 90°;
obtuse angle – 90° < measure < 180°; straight angle –
measure = 180°
Complementary angles have a sum of 90°.
Supplementary angles have a sum of 180°.
Vertical pairs of angles are always equal.
Ex.
30° 30°
Alternate interior angles are congruent.
Ex.
Corresponding angles are congruent.
Ex.
Same-side interior angles are supplementary.
Ex.
A linear pair of angles is always supplementary.
Ex.
120° 60°
Objective 2. Apply Pythagorean Theorem.
a2 + b
2 = c
2
c
a
b
Objective 3. Apply properties of similar polygons.
The symbol for similar polygons is ~.
Ex. ∆ ABC ~ ∆ XYZ
Scale Factor is the simplified ratio of similar
polygons.
Find the missing sides of similar polygons – use
proportions.
Objective 4. Apply properties of plane and solid geometric
figures.
Find area and perimeter of triangles, rectangles, and
squares. (using formulas on the reference page)
Find area and circumference of a circle, given radius
or diameter.
Find the perimeter of a regular polygon, given one
side. (Regular polygons have congruent sides and
angles.)
Use sum of interior angles of a triangle or rectangle.
Angles of a triangle = 180°
Angles of a rectangle = 360°
Interior angle sum of any polygon (n – 2) 180
Objective 5. Determine measures of central tendency.
Mean – average; mode – most often; median –
middle value when arranged from least to greatest;
range – largest minus smallest
Objective 6. Determine probabilities
Number correct / number possibilities
Objective 7. Solve problems involving direct variation.
One value increased by a constant product of another. y = kx
where k is the constant of proportionality.
Objective 8. Solve problems involving algebraic concepts.
Use Distance = rate x time
Solve age problems referring only to present.
Consecutive integer problems.
Ex. x, x + 1, x + 2
Cost problems
Wage problems
Money problems, which may require a system of
equations.
21
Birmingham City Schools
Alabama High School Graduation Exam: Mathematics
Teacher
________________
Course__________________
Dates:
From _______________
To ________________
School
____________________
Students/Dates Taught
I-1
A
pp
ly o
rder
of
op
erat
ion
s –
4 i
tem
s
I-2
A
dd
and
sub
trac
t po
lyno
mia
ls –
4 i
tem
s
I-3
M
ult
iply
po
lyn
om
ials
– 4
ite
ms
I-4
F
acto
r po
lyn
om
ials
– 4
ite
ms
II-1
S
olv
e m
ult
i-st
ep e
qu
atio
ns
– 4
ite
ms
II-2
S
olv
e q
uad
rati
c eq
uat
ion
s –
4 i
tem
s
II-3
S
olv
e sy
stem
s o
f li
nea
r eq
uat
ion
s –
4 i
tem
s
II-4
S
olv
e m
ult
i-st
ep i
neq
ual
itie
s –
4 i
tem
s
III-
1 I
den
tify
fun
ctio
ns
– 4
ite
ms
III-
2
Fin
d t
he
ran
ge
of
fun
ctio
ns
– 4
ite
ms
IV –
1 F
ind
per
imet
er,
circ
um
fere
nce
, ar
ea,
vo
lum
e –
4 i
tem
s
IV –
2
Fin
d d
ista
nce
, m
idpo
int,
slo
pe
– 4
ite
ms
V-1
, 4
Gra
ph:
Lin
ear
Equ
atio
ns;
Co
mm
on
Rel
atio
ns
– 6
ite
ms
V-2
G
rap
h l
ines
giv
en c
erta
in c
on
dit
ion
s –
4 i
tem
s
V-3
D
eter
min
e so
luti
on
set
s o
f in
equ
alit
ies
– 4
ite
ms
VI-
1
Tra
nsl
ate:
Ver
bal
/Sy
mbo
lic;
Gra
ph
: E
qu
atio
ns/
ineq
ual
itie
s –
6 i
tem
s
VII
-1 A
pply
pro
per
ties
an
d r
elat
ion
ship
s b
etw
een
an
gle
s –
4 i
tem
s
VII
-2
App
ly P
yth
ago
rean
Th
eore
m –
4 i
tem
s
VII
-3
App
ly p
rop
erti
es o
f si
mil
ar p
oly
go
ns
– 4
ite
ms
VII
-4
App
ly p
rop
erti
es o
f g
eom
etri
c fi
gure
s –
4 i
tem
s
VII
-5
Det
erm
ine
mea
sure
s o
f ce
ntr
al t
end
ency
– 4
ite
ms
VII
-6 D
eter
min
e p
rob
abil
itie
s –
4 i
tem
s
VII
-7 S
olv
e p
rob
lem
s: D
irec
t V
aria
tio
n –
4 i
tem
s
VII
-8
So
lve
pro
ble
ms:
Alg
ebra
ic C
on
cep
ts –
4 i
tem
s
22
Birmingham City Schools
Alabama High School Graduation Exam: Mathematics
Teacher_________________
Course_____________________
Dates: From _______________
To ________________
School ____________________
Students/Dates Taught I-1
A
pp
ly o
rder
of
op
erat
ion
s –
4 i
tem
s
I-2
A
dd
and
sub
trac
t po
lyno
mia
ls –
4 i
tem
s
I-3
M
ult
iply
po
lyn
om
ials
– 4
ite
ms
I-4
F
acto
r po
lyn
om
ials
– 4
ite
ms
II-1
S
olv
e m
ult
i-st
ep e
qu
atio
ns
of
the
firs
t d
egre
e –
4 i
tem
s
II-2
S
olv
e q
uad
rati
c eq
uat
ion
s th
at a
re f
acto
rab
le –
4 i
tem
s
II-3
S
olv
e sy
stem
s o
f tw
o l
inea
r eq
uat
ion
s – 4
ite
ms
II-4
S
olv
e m
ult
i-st
ep i
neq
ual
itie
s o
f fi
rst
deg
ree
– 4
ite
ms
III-
1 I
den
tify
fun
ctio
ns
– 4
ite
ms
III-
2
Fin
d t
he
ran
ge
of
fun
ctio
ns
wh
en g
iven
th
e d
om
ain
– 4
ite
ms
IV –
1 F
ind
per
imet
er,
circ
um
fere
nce
, ar
ea,
vo
lum
e o
f g
eom
etri
c
fig
ure
s – 4
ite
ms
IV –
2
Fin
d d
ista
nce
, m
idpo
int,
slo
pe
of
lin
e se
gm
ents
wh
en g
iven
tw
o
po
ints
– 4
ite
ms
V-1
, 4
Gra
ph:
Lin
ear
Equ
atio
ns;
Co
mm
on
Rel
atio
ns
– 6
ite
ms
V-2
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rap
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ines
giv
en c
erta
in c
on
dit
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s –
4 i
tem
s
V-3
D
eter
min
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luti
on
set
s o
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equ
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ties
– 4
ite
ms
VI-
1
Tra
nsl
ate:
Ver
bal
/Sy
mbo
lic;
Gra
ph
: E
qu
atio
ns/
ineq
ual
itie
s –
6
item
s
VII
-1 A
pply
pro
per
ties
of
ang
les
and
rel
atio
nsh
ips
bet
wee
n a
ng
les
– 4
item
s
VII
-2
App
ly P
yth
ago
rean
Th
eore
m –
4 i
tem
s
VII
-3
App
ly p
rop
erti
es o
f si
mil
ar p
oly
go
ns
– 4
ite
ms
VII
-4
App
ly p
rop
erti
es o
f p
lan
e an
d s
oli
d g
eom
etri
c fi
gu
res
– 4
ite
ms
VII
-5
Det
erm
ine
mea
sure
s o
f ce
ntr
al t
end
ency
– 4
ite
ms
VII
-6 D
eter
min
e p
rob
abil
itie
s –
4 i
tem
s
VII
-7 S
olv
e p
rob
lem
s in
vo
lvin
g D
irec
t V
aria
tio
n –
4 i
tem
s
VII
-8
So
lve
pro
ble
ms
inv
olv
ing
al
geb
raic
an
d g
eom
etri
c co
nce
pts
– 4
item
s
23
Birmingham City Schools
Alabama High School Graduation Exam: Mathematics Student ______________________________________
Teacher / Year
School I-1
A
pp
ly o
rder
of
op
erat
ion
s –
4 i
tem
s
I-2
A
dd
and
sub
trac
t po
lyno
mia
ls –
4 i
tem
s
I-3
M
ult
iply
po
lyn
om
ials
– 4
ite
ms
I-4
F
acto
r po
lyn
om
ials
– 4
ite
ms
II-1
S
olv
e m
ult
i-st
ep e
qu
atio
ns
of
the
firs
t d
egre
e –
4 i
tem
s
II-2
S
olv
e q
uad
rati
c eq
uat
ion
s th
at a
re f
acto
rab
le –
4 i
tem
s
II-3
S
olv
e sy
stem
s o
f tw
o l
inea
r eq
uat
ion
s – 4
ite
ms
II-4
S
olv
e m
ult
i-st
ep i
neq
ual
itie
s o
f fi
rst
deg
ree
– 4
ite
ms
III-
1 I
den
tify
fun
ctio
ns
– 4
ite
ms
III-
2
Fin
d t
he
ran
ge
of
fun
ctio
ns
wh
en g
iven
th
e d
om
ain
– 4
ite
ms
IV –
1 F
ind
per
imet
er,
circ
um
fere
nce
, ar
ea,
vo
lum
e o
f g
eom
etri
c fi
gu
res
– 4
item
s
IV –
2
Fin
d d
ista
nce
, m
idpo
int,
slo
pe
of
lin
e se
gm
ents
wh
en g
iven
tw
o p
oin
ts
– 4
ite
ms
V-1
, 4
Gra
ph:
Lin
ear
Equ
atio
ns;
Co
mm
on
Rel
atio
ns
– 6
ite
ms
V-2
G
rap
h l
ines
giv
en c
erta
in c
on
dit
ion
s –
4 i
tem
s
V-3
D
eter
min
e so
luti
on
set
s o
f in
equ
alit
ies
– 4
ite
ms
VI-
1
Tra
nsl
ate:
Ver
bal
/Sy
mbo
lic;
Gra
ph
: E
qu
atio
ns/
ineq
ual
itie
s –
6 i
tem
s
VII
-1 A
pply
pro
per
ties
of
ang
les
and
rel
atio
nsh
ips
bet
wee
n a
ng
les
– 4
ite
ms
VII
-2
App
ly P
yth
ago
rean
Th
eore
m –
4 i
tem
s
VII
-3
App
ly p
rop
erti
es o
f si
mil
ar p
oly
go
ns
– 4
ite
ms
VII
-4
App
ly p
rop
erti
es o
f p
lan
e an
d s
oli
d g
eom
etri
c fi
gu
res
– 4
ite
ms
VII
-5
Det
erm
ine
mea
sure
s o
f ce
ntr
al t
end
ency
– 4
ite
ms
VII
-6 D
eter
min
e p
rob
abil
itie
s –
4 i
tem
s
VII
-7 S
olv
e p
rob
lem
s in
vo
lvin
g D
irec
t V
aria
tio
n –
4 i
tem
s
VII
-8
So
lve
pro
ble
ms
inv
olv
ing
al
geb
raic
an
d g
eom
etri
c co
nce
pts
– 4
ite
ms
24
Middle School Pre-Algebra
First Semester
Remarks / Comments Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
Second Semester
Remarks / Comments Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
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Lesson Date: _________
Comment(s): _________
_______________
_______________
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_______________
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Lesson Date: _________
Comment(s): _________
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Lesson Date: _________
Comment(s): _________
_______________
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Lesson Date: _________
Comment(s): _________
_______________
_______________
_______________
_______________
_______________
25
Birmingham City Schools
Pre-AP Pre-Algebra First Semester Objectives
First Semester Assessment (CRT) will be using ThinkLink Probes
December 5 – 12, 2011
When teaching objectives, use examples and assign practice involving decimals and
fractions in addition to whole numbers. Teach using real world applications and
appropriate problem solving strategies.
The student will be able to:
Demonstrate a knowledge of all vocabulary
Apply number theory
Identify prime and composite numbers
Factor Natural Numbers
Find and use the LCM and the GCF to solve problems
Use the Real Number System and its’ properties
Apply rules for operations with Real Numbers
Model Real Numbers on the number line, write opposites, absolute values, and
reciprocals
Apply the rule for simplifying and evaluating expressions using Order of
Operations
Solve simple equations: two-step and multi-step using addition, subtraction,
multiplication, division, and the Distributive Property
Translate verbal phrases into algebraic expressions and vice versa
Express a pattern in a table, graph, or chart as an algebraic expression
Simplify algebraic expressions containing exponents (positive, negative, and
zero)
Add, subtract, multiply, and divide rational numbers
Solve equations containing rational numbers
Write ratios, rates, and solve proportions; determine percent of increase or
decrease, and solve percent equations
Write and use fraction, decimal, and percent equivalence
Determine measures of central tendency: mean, median, mode, and range
Use box-and-whisker plots, stem-and leaf plots, and histograms to organize
and interpret data
Use probability, permutations, and combinations in problem solving
Understand and use the Coordinate Plane
Use scale drawings and maps in problem solving
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real
World Applications Revised June 2011
26
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/08/11
In-House
Professional Development Day
(No Students)
Tuesday
08/09/11
Teacher Work Day
(No Students)
Wednesday
08/10/11
First Semester Begins
First Day for Students
Discuss: course description,
expectations (classroom rules and
grading), materials and supplies
(pencils, loose-leaf paper, graph
paper, folders, etc.), and notebook
organization
(Gr.7) 1, 2, 3
Multiple Choice
Gridded
Thursday
08/11/11
ARMT Item Specifications for
Mathematics Grade 7
pp. 5-13
(Gr.7) 1, 2, 3
Multiple Choice
Gridded
Friday
8/12/11
Chapter 1: The Tools of Algebra
1.1 Using Problem-Solving Plan
1.2 Numbers and Expressions
(Gr.7) 3, 5
(Gr. 8) 3,4
Multiple Choice
Gridded
Chapter 1 Resource Masters
Teacher’s Edition p. 4B
AIMS pp. 8 – 33
AB Labs 1.1 – 1.4
26
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real
World Applications Revised June 2011
27
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/15/11
1.3 Variables and Expressions
1.4 Properties
(Gr.7) 2
(Gr.8) 3
Chapter 1
Resource Masters
Teacher’s Edition p. 4B
Tuesday
08/16/11
Quiz/ Vocabulary quiz
1.5 Variables and Equations
Lab 1
(Gr.7) 2, 5
(Gr.8) 4, 5
Chapter 1
Resource Masters
Teacher’s Edition p. 4B
Wednesday
08/17/11
1.6 Ordered Pairs and Relations
(Gr.7) 4
Chapter 1
Resource Masters
Teacher’s Edition p. 4B
AIMS pp. 12-22
Thursday
08/18/11
1.7 Scatter Plots
Activity: Scatter Plots p. 39
Real World Application p. 1
(Gr.7) 4
(Gr. 8) 13
Friday
08/19/11
Chapter 1: Standardized Test
Practice pp. 52-53 TWE
(Gr.7) 2, 3, 4, 5
(Gr.8) 3, 4, 13
27
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real
World Applications Revised June 2011
28
DATE
LESSON PLAN
ALABAMA COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/22/11
Assessment: Chapter 1 Test
Tuesday
08/23/11
Use Handout: Draft 7th
Grade Lesson
Plans ACOS Objective # 12: Determine
measures of central tendency.
5.8 Measures of Central Tendency
Activity: Mean, Mode, and Median
pp. 71-72
Real World Applications p. 5
(Gr.7) 12
(Gr.8) 13
Multiple Choice
Gridded
Open-ended
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Wednesday
08/24/11
Cont…5.8 Measures of Central
Tendency
Activity: Mean Deviation p. 73
Laying the Foundation
“Measures of Central Tendency and
Variability”
(Gr.7) 12
(Gr.8) 13
Multiple Choice
Gridded
Open-ended
Laying the Foundation
Thursday
08/25/11
Review Prerequisite Skills p. 605
Chapter 12: More Statistics and
Probability
12.1 Stem-and-Leaf Plots
12.2 Measures of Variation
(Gr.7) 12
(Gr.8) 13
Chapter 12
Resource Masters
Teacher’s Edition
p. 604B
Friday
08/26/11
12.4 Histograms
(Gr.8) 13
Chapter 12
Resource Masters
Teacher’s Edition
p. 604B
28
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real
World Applications Revised June 2011
29
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/29/11
12.5 Misleading Statistics
12.6 Counting Outcomes
(Gr.7) 13
(Gr.8) 13
Tuesday
08/30/11
Cont… 12.6 Counting Outcomes
Wednesday
08/31/11
12.7 Permutations and Combinations
12.8 Odds
(Gr.7) 13
(Gr.8) 14
Multiple Choice
Gridded
Open-ended
Thursday
09/01/11
Cont… 12.7 and 12.8
Friday
09/02/11
District-Wide Professional Development Day
(No Students)
7th
Grade
ARMT Training for at least First and Second
Year Teachers
8:00 – 11:00 Lane Teacher Center
29
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real
World Applications Revised June 2011
30
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/05/11
LABOR DAY NO SCHOOL
Schools & District Offices Closed
Tuesday
09/06/11
Use Handout: Draft 7th
Grade Lesson Plans
ACOS Objective # 13: Determine the
probability of a compound event.
12.9 Probability of Compound Events
*Include measures of Central Tendency on
Chapter Test
(Gr.7) 13
(Gr.8) 14
Multiple Choice
Gridded
Open-ended
Wednesday
09/07/11
Cont … Handout and 12.9
Review Probability and Statistics for
Chapter Test to include measures of central
tendency
Assign Project from Laying the Foundation
“Stem-and-Leaf Plot”
Laying the Foundation
Students will complete
this assignment in
groups of three
Thursday
09/08/11
Laying the Foundation
Family Fun (Binomial Probability)
Chapter 2: Integers
Define chapter terms
2.1 Integers and Absolute Values
Real World Applications p. 2
(Gr.7) 2
(Gr.8) 1,3
Multiple Choice
Gridded
Open-ended
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
Laying the Foundation
Friday
09/09/11
Cont…2.1 Integers and Absolute Values
Lab 2: Electrical Charges
(Gr.7) 2
(Gr.8) 1,3
Multiple Choice
Gridded
30
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real
World Applications Revised June 2011
31
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/12/11
2.2 Adding Integers
Activity: Adding Integers pp. 38 – 40
(Gr.7) 1,2
Multiple Choice
Gridded
Chapter 2
Resource Masters
Teacher’s Edition p. 54B
Tuesday
09/13/11
Progress Reports Go Home
Cont…2.2 Adding Integers
QUIZ 2.1 and 2.2
(Gr.7) 1,2
Wednesday
09/14/11
2.4 Multiplying Integers
2.5 Dividing Integers
(Gr.7) 1, 2
(Gr. 8) 3
Multiple Choice
Gridded
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
AB Labs 5.2 – 5.5
Thursday
09/15/11
Cont…2.4 Multiplying Integers
Cont…2.5 Dividing Integers
Activity: Multiplying Integers pp. 42 – 43
(Gr.7) 1, 2
(Gr.8) 3
Multiple Choice
Gridded
Friday
09/16/11
QUIZ 2.1, 2.2, 2.4, 2.5
2.3 Subtracting Integers
(Gr.7) 1, 2, 4
Multiple Choice
Gridded
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
31
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real
World Applications Revised June 2011
32
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/19/11
Cont…2.3 Subtracting Integers
Activity: Subtracting Integers
pp. 41 – 43
(Gr.7) 1, 2, 4
Multiple Choice
Gridded
Tuesday
09/20/11
QUIZ 2.3
Use a mixed review of all operations
using integers (Include decimals,
simple fractions, and zero)
Wednesday
09/21/11
Vocabulary quiz (Very Important)
2.6 The Coordinate System
:
Chapter 2: Standardized Practice
Test
(Gr.7) 1, 2, 4
(Gr.8) 1, 3, 4
Multiple Choice
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
Thursday
09/22/11
Laying the Foundation
“Sketch My Graph”
Laying the Foundation
Friday
09/23/11
Assessment: Chapter 2
32
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
33
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/26/11
Chapter 3:Equations
Define chapter terms
3.1 The Distributive Property
Activity: Distributive Property
pp. 47 – 48
(Gr.7) 6
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
Tuesday
09/27/11
Cont … 3.1
3.2 Simplifying Algebraic Expressions
(Gr.7) 5
(Gr.8) 3
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
Wednesday
09/28/11
3.3 Solving Equations by Adding or
Subtracting
(horizontal and/or vertical method)
(Gr.7) 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B Hands-on-Equations
Thursday
09/29/11
Cont…3.3 Solving Equations
Activity: Solving Equations with
Algebra Tiles pp. 49 – 51
(Gr.7) 6
Multiple Choice
Hands-On- Equations
Friday
09/30/11
Equations 3.4 Solving by Multiplying or
Dividing
Real World Application p. 3
(Gr.7) 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
33
+
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
34
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/03/11
3.5 Solving Two-Step Equations
Lab 9 pp. 37 – 40
ARMT Probes October 3 – 7, 2011
(Gr.7) 6
(Gr.8) 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition p. 96B
Tuesday
10/04/11
Cont…3.5
Activity: Two-Step Equations
pp. 52 - 54
(Gr.7) 6
(Gr.8) 6
Multiple Choice
Wednesday
10/05/11
ARMT Practice #1
(15 minutes)
3.6 Writing Two-Step Equations
(Gr.7) 5,6
(Gr.8) 4 , 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition p. 96B
Thursday
10/06/11
Cont…3.6 Writing Two-Step
Equations
Activity: Discovering Patterns in
Mathematics p. 55
(Gr.7) 5, 6
Multiple Choice
Friday
10/07/11
3.7 Using Formulas
Study Guide
(Gr.7) 9, 10
(Gr.8) 4, 10
Chapter 3
Resource Masters
Teacher’s Edition p. 96B
34
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
35
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/10/11
Cont…3.7 Using Formulas
(Gr.7) 2, 4, 6
(Gr.8) 13
Tuesday
10/11/11
Review Sections 3.1 – 3.7
Wednesday
10/12/11
Assessment: Chapter 3 Test
Thursday
10/13/11
Chapter 4: Factors and Fractions
Activity: Finding Factors
Define chapter terms
(homework) 4.1 Factors and Monomials
(Gr.8) 1
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Friday
10/14/11
4.2 Powers and Exponents
(Gr.7) 2
(Gr.8) 3
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
35
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
36
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/17/11
Cont … 4.2 (Teach for Mastery)
Tuesday
10/18/11
4.3 Prime Factorization
Activity: Prime Numbers p. 61
(Gr.8) 1
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Wednesday
10/19/11
Early Dismissal
Parents will pick-up Report Cards
4.4 Greatest Common Factors (GCF)
(Gr.8) 1
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Thursday
10/20/11
Assessment: Mid-Chapter Test
4.5 Simplifying Algebraic Fractions
(Gr.7) 2
(Gr.8) 1, 3
Friday
10/21/11
Cont … 4.5 Simplifying Algebraic
Fractions
(Gr.7) 5,6
(Gr.8) 1
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
36
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
37
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/24/11
4.6 Multiplying and Dividing
Monomials
Activity: Equivalent Fraction
pp. 62-63
(Gr.8) 2
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Tuesday
10/25/11
Cont… 4.6 Multiplying and
Dividing Monomials
(Gr.8) 2
Multiple Choice
Wednesday
10/26/11
4.7 Negative Exponents
(Gr.7) 2
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Thursday
10/27/11
Cont … 4.7
4.8 Scientific Notation
Activity: Operations with
Scientific Notation p. 64
Study Guide
(Gr.7) 2
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Friday
10/28/11
Fall Break
(Schools & District Offices Closed)
37
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
38
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/31/11
Cont…4.8 Scientific Notation
(Gr.7) 1, 2
Tuesday
11/01/11
Assessment on Sections 4.7 and 4.8
ARMT Probes November 1 – 7, 2011
Wednesday
11/02/11
ARMT Practice #2
(15 minutes)
Chapter 5: Rational Numbers
Define chapter terms (homework)
5.1 Writing Fractions as Decimals
(Gr. 7) 3
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Thursday
11/03/11
5.2 Rational Numbers
Activity: Fractions p. 69
(Gr. 7) 3
(Gr. 8) 1,10
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Friday
11/04/11
5.3 Multiplying Rational Numbers
Lab 3: Plant Growth
pp. 9 – 12
(Gr. 7) 3
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
38
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
39
DATE
LESSON PLAN
ALABAMA COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
11/07/11
5.4 Multiplying Rational Numbers
Lab 3: Plant Growth
pp. 9 - 12
Tuesday
11/08/11
Review Sections 5.1 – 5.4
5.5 Adding and Subtracting Like
Fractions
(Gr. 7) 2
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition p. 198B
Wednesday
11/09/11
5.6 Least Common Multiple
(Gr. 7) 3
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition p. 198B
Thursday
11/10/11
Quiz 5.1 and 5.6
5.7 Adding and Subtracting Unlike
Fractions
(Gr. 7) 2
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Friday
11/11/11
Veteran’s Day
(Schools & District Offices Closed)
39
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
40
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
11/14/11
Cont … Adding & Subtracting
Unlike Fractions
Tuesday
11/15/11
5.9 Solving Equations with Rational
Numbers
(Gr. 7) 3
(Gr. 8) 10
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Wednesday
11/16/11
Progress Reports Go Home
Study Guide and Review
pp. 254 - 259
(Gr. 7) 2, 3
(Gr. 8) 1, 10
Thursday
11/17/11
Assessment: Chapter 5 Test
Friday
11/18/11
Chapter 6: Ratio, Proportion, and
Percent
Use Handout: Draft 7th
Grade Lesson
Plans ACOS Objective # 11: Solve
problems using proportional reasoning.
Define chapter terms (homework)
6.1 Ratios and Rates
(Gr. 7) 3, 11
(Gr. 8) 1
Multiple Choice
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
AIMS pp. 43-51
40
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
41
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
11/21/11
6.2 Using Proportions
Activity: Capture-Recapture
pp. 84 - 86
(Gr. 7) 3, 11
(Gr. 8) 1
Multiple Choice
Chapter 6
Resource Masters
Teacher’s Edition p. 262B
Tuesday
11/22/11
Cont … 6.2
Lab 18: Physical Factors of Soil
pp.81 – 84
(Gr. 7) 2
(Gr. 8) 1
Multiple Choice
Chapter 6
Resource Masters
Teacher’s Edition p. 262B
Wednesday
11/23/11
Thanksgiving Holiday
(Schools & District Offices Closed)
Thursday
11/24/11
Thanksgiving Holiday
(Schools & District Offices Closed)
Friday
11/25/11
Thanksgiving Holiday
(Schools & District Offices Closed)
41
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
42
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY Grades 7
and 8
ARMT
OTHER RESOURCES
Monday
11/28/11
6.3 Scale Drawings and Models
(Gr. 7) 8
(Gr. 8) 1
Chapter 6
Resource Masters
Teacher’s Edition p. 262B
Tuesday
11/29/11
6.4 Fractions, Decimals, and Percents
(Gr. 7) 2
(Gr. 8) 1
Chapter 6
Resource Masters
Teacher’s Edition p. 262B
Wednesday
11/30/11
Assessment: Quiz 6.1-6.4
6.5 Using the Percent Proportion
(Gr. 7) 3, 11
(Gr. 8) 1
Multiple Choice
Chapter 6
Resource Masters
Teacher’s Edition p. 262B
Thursday
12/01/11
Cont…6.5 Using the Percent
Proportion
Activity: Percents, Fractions, and
Circle Graphs pp. 87 – 89
(Gr. 7) 3, 11
(Gr. 8)1
Friday
12/02/11
Review for First Semester CRT
6.8 Percent of Change
(Gr. 7) 3, 11
42
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
43
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
12/05/11
First Semester Pre-Algebra CRT Probes
December 5 -12, 2011
Tuesday
12/06/11
First Semester Pre-Algebra CRT Probes
December 5 -12, 2011
Wednesday
12/07/11
First Semester Pre-Algebra CRT Probes
December 5 -12, 2011
Thursday
12/08/11
First Semester Pre-Algebra CRT Probes
December 5 -12, 2011
6.9 Probability and Predictions
Activity: Taking a Survey p. 94
(Gr. 7) 13
(Gr. 8) 14
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
Friday
12/09/11
First Semester Pre-Algebra CRT Probes
December 5 -12, 2011
Cont…6.9 Probability and Predictions
(Gr. 7) 13
(Gr. 8) 14
43
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
44
DATE
LESSON PLAN
ALABAMA COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
12/12/11
First Semester Pre-Algebra CRT Probes
December 5 -12, 2011
Assessment : Chapter 6 Test
Tuesday
12/13/11
Teacher Developed First Semester Assessment
Wednesday
12/14/11
1.) Make-Up
2.) Review 2011 CRT Probes or Review
Teacher Developed Assessment
Thursday
12/15/11
End of First Semester
(Last Day for Students and Teachers)
Friday
12/16/11
December 16 – January 3
Students’ Christmas Holidays
44
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
45
Monday
Tuesday
Wednesday
Thursday
Friday
46
Birmingham City Schools
Pre-AP Pre-Algebra Second Semester Objectives
Second Semester Assessment (CRT) will be administered using
ThinkLink Probes May 7 – 14, 2012
When teaching objectives, use examples and assign practice involving decimals and fractions in
addition to whole numbers. Teach using real world applications and appropriate problem
solving strategies.
The student will be able to:
Demonstrate proficiency in the use of First Semester Vocabulary and develop a
thorough knowledge of Second Semester Vocabulary
*Compute using integer operations, solve basic equations, apply order of operations,
evaluate and simplify algebraic expressions containing whole numbers, decimals, and
fractions
Solve equations including variables on each side and grouping symbols
Solve and graph simple inequalities using addition, subtraction, multiplication, and
division
Use functions to describe relationships between two quantities and determine
whether relations are functions
Explore similarity and congruence in polygons; solve problems involving similar
figures; and use indirect measurement
Use angle and side relationships to solve problems
Explore square roots and solve equations whose solutions are square roots
Use the Pythagorean Theorem in solving problems
Find the distance and/or midpoint of line segments given two points
Compute area and perimeter of triangles, parallelograms, and trapezoids
Use area and perimeter in solving real-life problems
Compute volume and surface area of prisms, cylinders, pyramids, and cones
Compute the circumference and area of a circle
Recognize geometric relationships among two and three dimensional objects
Identify transformations; reflections, rotations, and translations
Determine the slope and y-intercept of a line
Write the equation of a line given the slope and y-intercept; a graph; a table; or two
points
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
47
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/02/12
In-House
Professional Development Day
(No Students)
Tuesday
01/03/12
Schools Re-Open
Chapter 7: Equations and Inequalities
Define chapter terms
7.1 Solving Equations with
Variables on Each Side
(Gr. 7) 6
(Gr. 8) 6
Multiple Choice
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
Wednesday
01/04/12
Cont…7.1 Solving Equations with
Variables on Each Side
Activity: Solving Equations with
Variables on Each Side
pp. 97 – 100
Thursday
01/05/12
7.2 Solving Equations with
Grouping Symbols
Real World Applications p. 7
(Gr. 7) 6
(Gr. 8) 6
Multiple Choice
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
Friday
01/06/12
Cont … 7.2
Assessment 7.1 – 7.2 on Monday
47
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
48
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/09/12
Assessment: Quiz 7.1-7.2
*Review the four basic algebraic equations
– show the relationship that exists for
inequalities
7.3 Inequalities
Activity: Inequalities and the
Number Line p. 101
(Gr. 7) 6
(Gr. 8) 6
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
Tuesday
01/10/12
Cont … 7.3
7.4 Solving Inequalities by Adding or
Subtracting
(Gr. 7) 6
Multiple Choice
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
Wednesday
01/11/12
7.5 Solving Inequalities by
Multiplying or Dividing
(Gr. 7) 6
Multiple Choice
Thursday
01/12/12
7.6 Solving Multi-Step Inequalities
(Gr. 7) 6
Multiple Choice
Friday
01/13/12
ARMT Probes January 13 – 20, 2012
Cont … 7.6
48
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
49
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/16/12
Dr. Martin Luther King, Jr. Day
(Schools & District Offices Closed)
01/17/12
ARMT Probes January 13 – 20, 2012
Study Guide and Chapter Review
pp. 360 – 362
(Gr. 7) 6
(Gr. 8) 6
Wednesday
01/18/12
ARMT Practice # 3
(15 minutes)
Assessment: Chapter 7
(Gr. 7) 4
(Gr. 8) 5
Multiple Choice
Thursday
01/19/12
8.1 Functions
8.2 Linear Functions in Two Variables
(Gr. 7) 4
(Gr. 8) 4, 5, 10
Multiple Choice
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Friday
01/20/12
Cont…8.2 Linear Functions in Two
Variables
(Gr. 7) 4
(Gr.8) 4, 5, 10
Multiple Choice
49
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
50
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/23/12
Assessment: Quiz 8.1 -8.2
Chapter 9: Real Numbers and
Right Triangles
Define chapter terms
(Gr. 7) 4
(Gr. 8) 4, 5, 10
Tuesday
01/24/12
9.1 Squares and Square Roots
(Gr. 7) 10
Multiple Choice
Gridded
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Wednesday
01/25/12
9.3 Angles
(Gr. 8) 9
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Thursday
01/26/12
9.4 Triangles
(Gr. 8) 8
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Friday
01/27/12
9.7 Similar Triangles and Indirect
Measurements
Activity: Similar Triangles and
Indirect Measurement p. 119
(Gr.7) 8
(Gr. 8) 1,8,12
Multiple Choice
Open - Ended
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
50
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
51
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/30/12
Cont … 9.7
Assessment Sections 9.1, 9.3, 9.4, 9.7
Tuesday
01/31/12
Chapter 10:Two Dimensional
Figures
Use Handout: Draft 7th
Grade Lesson
Plans ACOS Objective # 8: Recognize
geometric relationships among two-
dimensional and three-dimensional
objects.
Define chapter terms (homework)
10.1 Line and Angle Relationships
Activity: Constructions p. 126
(Gr.7) 8
(Gr. 8) 9
Multiple Choice
Open - Ended
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Wednesday
02/01/12
Cont… 10.1
Thursday
02/02/12
Assessment Section 10.1 and Handout
ACOS Objective # 8
Friday
02/03/12
Chapter 11:Three-Dimensional
Figures
Define chapter terms (homework)
11.1 Three-Dimensional Figures
Activity: Building Three-
Dimensional Figures p. 143
(Gr.7) 8
Multiple Choice
Open - Ended
Chapter 11
Resource Masters
Teacher’s Edition
p. 552B
51
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
52
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
02/06/12
Cont … 11.1 Three-Dimensional Figures
Tuesday
02/07/12
Cont … 11.1 Three-Dimensional Figures
Wednesday
02/08/12
Assessment: Chapters 11
Include Handouts
Thursday
02/09/12
Progress Reports Go Home
10.2 Congruent Triangles
Activity: Exploring Congruence p. 127
Friday
02/10/12
Use Handout: Draft 7th
Grade Lesson
Plans ACOS Objective # 7: Determine
the transformation(s) used to alter the
position of a polygon on the coordinate
plane.
10.3 Transformations on the
Coordinate Plane
(Gr.7) 7
Multiple Choice
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
53
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
02/13/12
Cont … 10.3
Activity: Symmetry and Dilations
pp. 128 – 129
(Gr.7) 7
Multiple Choice
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Tuesday
02/14/12
Cont … 10.3
Laying The Foundation
“Pictures and Transformations”
(Gr.7) 7
Multiple Choice
Laying the Foundation
Wednesday
02/15/12
10.4 Quadrilaterals
(Gr.8) 8
Thursday
02/16/12
Use Handout: Draft 7th
Grade Lesson
Plans ACOS Objective # 10: Find the
perimeter of polygons and the area of
triangles and trapezoids.
10.5 Areas: Parallelograms, Triangles,
and Trapezoids
Perimeter of Polygons
ARMT Probes February 16 - 24, 2012
(Gr. 7) 10
(Gr. 8) 10
Multiple Choice
Gridded
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Friday
02/17/12
District-Wide Professional Development
(No Students)
53
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
54
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
02/20/12
Presidents’ Day
(Schools and District Offices Closed)
Inclement Weather Day
Tuesday
02/21/12
ARMT Probes February 16 – 24, 2012
Cont … 10.5
Laying The Foundation
“A Shoe Print, Trapezoids, and Area”
Laying the Foundation
Wednesday
02/22/12
ARMT Practice # 4
(15 minutes)
Cont … 10.5
Thursday
02/23/12
10.6 Polygons
Activity: Tessellations
pp. 133 – 135
(Gr. 7) 10
Multiple Choice
Gridded
Friday
02/24/12
Cont…10.6
Activity: Tessellations
pp. 133 – 135
54
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
55
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
02/27/12
Use Handout: Draft 7th
Grade Lesson
Plans ACOS #9: solve problems involving
circumference and area of circles.
10.7 Circumference and Area:
Circles
Activity: Circles and Slope
pp. 136 - 138
Laying the Foundation
“Finding Pi”
(Gr. 7) 9
Multiple Choice
Gridded
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Laying the Foundation
Tuesday
02/28/12
Cont…10.7
Wednesday
02/29/12
Cont…10.7
Thursday
03/01/12
Cont…10.7
Friday
03/02/12
Assessment: Circles and Area
55
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
56
DATE
LESSON PLAN
ALABAMA COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER
RESOURCES
Monday
03/05/12
Review Specific Objectives Targeted
in Grade 7: System-wide Analysis
and School Analysis. Check-off as
reviewed.
Use Handout: Draft
ACOS Objective #12
Section 5.8
Measures of
Central
Tendency
Tuesday
03/06/12
12.7 Permutations and
Combinations
12.8 Odds
12.9 Compound Probability
Wednesday
03/07/12
Sections 3.3 – 3.5 & 7.1
Solving equations by addition,
subtraction, multiplication or division
Thursday
03/08/12
Solving and writing two-step
equations
7.1 Solving equations with variables
on each side
Friday
03/09/12
Sections 4.5 – 4..8
Simplifying Algebraic expressions
Chapter 5:
Review Rational
Numbers
Cont … Rational
Numbers
Cont … Rational Numbers
56
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
57
DATE
LESSON PLAN
ALABAMA COURSE OF STUDY
Grades 7 and 8
Review
Topics
Other
Resources
Monday
03/12/12
Multiplying and Dividing monomials
Simplifying Negative exponents and
Scientific Notation
Tuesday
03/13/12
Chapter 5:
Review Rational Numbers
Wednesday
03/14/12
Cont … Rational Numbers
Thursday
03/15/12
Proportional Reasoning
Emphasize verbal models using and
applying Proportional reasoning
Friday
03/16/12
Review for ARMT
March 19 - 23
(Spring Break)
57
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
58
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
03/26/12
10.8 Areas: Irregular Figures
Activity: How Big is Your Foot?
pp. 139-140
Study Guide
(Gr. 8) 10
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
.
Tuesday
03/27/12
**Report Cards Go Home
Study Guide and Review
pp. 544 - 548
Lab 5 pp. 19-24
Real World Application p. 10
(Gr. 7) 7, 8, 10
(Gr. 8) 8, 9 10
.
Wednesday
03/28/12
Review Chapter 10
Sections 10.2 – 10.8
.
Thursday
03/29/12
Review for ARMT
Use math games and various
manipulatives to review skills.
Friday
03/30/12
Review for ARMT
Use math games and various
manipulatives to review skills.
58
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
59
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/02/12
Review for ARMT
Tuesday
04/03/12
Review for ARMT
Wednesday
04/04/12
Review for ARMT
Thursday
04/05/12
Review for ARMT
Friday
04/06/12
Review for ARMT
59
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
60
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/09/12
ARMT Testing Period
April 9 – 20, 2012
Tuesday
04/10/12
ARMT Testing Period
Wednesday
04/11/12
ARMT Testing Period
Thursday
04/12/12
ARMT Testing Period
Define the x- and y-intercepts
8.3 Graphing Linear Equations
Using Intercepts
Lab 4: Graphing Relationships
pp. 13 - 18
(Gr. 8) 4,5
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Friday
04/13/12
ARMT Testing Period
Cont … 8.3
60
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
61
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/16/12
ARMT Testing Period
8.4 Slope
Activity: Graphing and Slope
pp. 106 - 107
(Gr. 7) 4
(Gr. 8) 4
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Tuesday
04/17/12
ARMT Testing Period
Cont …. 8.4
Wednesday
04/18/12
ARMT Testing Period
8.5 Rate of Change
(Gr. 7) 4
(Gr. 8) 4
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Thursday
04/19/12
ARMT Testing Period
Cont …. 8.5
(Gr. 7) 4
(Gr. 8) 13
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Friday
04/20/12
Spring Holiday
Inclement Weather Day
61
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
62
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/23/12
Spring Holiday
Tuesday
04/24/12
8.6 Slope - Intercept Form
(Gr. 7) 4
(Gr. 8) 4, 5
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Wednesday
04/25/12
8.7 Writing Linear Equations
Activity: Constant Rate of Change
p. 109
(Gr. 7) 5
(Gr. 8) 5
Thursday
04/26/12
8.8 Best Fit Lines
Real World Applications p.8
(Gr. 7) 4
(Gr. 8) 13
Friday
04/27/12
8.9 Solving Systems of Equations
Graphing Using Intercepts and a
T-Chart
(Gr. 8) 5
Chapter 8
Resource Masters
Teacher’s Edition
p. 366B
62
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
63
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/30/12
Cont…. 8,9
Tuesday
05/01/12
8.10 Graphing Inequalities
Study Guide
(Gr. 7) 6
Wednesday
05/02/12
Chapter 8 Review and Study
Guide pp. 424 - 428
(Gr.7 ) 4, 5, 6
(Gr. 8) 4, 5, 13
Thursday
05/03/12
Assessment: Chapter 8
Friday
05/04/12
9.5 The Pythagorean Theorem
Real World Applications p.9
Activity: The Pythagorean
Theorem pp. 115 - 117
(Gr. 8) 7
63
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
64
DATE
LESSON PLAN
ALABAMA COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/07/12
Second Semester CRT Probes
May 7 – 14, 2012
Cont…. 9.5
Tuesday
05/08/12
Second Semester CRT Probes
May 7 – 14, 2012
9.6 The Distance and Midpoint
Formulas
Activity: Using the Pythagorean
Theorem p.118
Laying the Foundation
“Pythagorean Theorem
Investigations”
Activity: Using the
Pythagorean Theorem
p. 118
Laying the Foundation
“Pythagorean Theorem
Investigation”
AB Lab 11.4,
Wednesday
05/09/12
Second Semester CRT Probes
May 7 – 14, 2012
Assessment: 9.5 and 9.6
Thursday
05/10/12
Second Semester CRT Probes
May 7 – 14, 2012
12.3 Box-and-Whisker Plot
(Gr. 8) 13
Chapter 12
Resource Masters
Teacher’s Edition p. 604B
Friday
05/11/12
Second Semester CRT Probes
May 7 – 14, 2012
Cont … 12.3
64
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
65
DATE
LESSON PLAN
ALABAMA COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/14/12
Second Semester CRT Probes
May 7 – 14, 2012
9.6 The Distance and Midpoint
Formulas
Activity: Using the Pythagorean
Theorem p. 118
Laying the Foundation
“Pythagorean Theorem
Investigation”
(Gr. 8) 7
Tuesday
05/15/12
11.2 Volumes: Prisms and
Cylinders
Activity: Volume p. 144
Cont… 11.2
11.3 Volume: Pyramids and
Cones
(Gr. 8) 11
05/16/12
11.4 Surface Area: Prisms and
Cylinders
(Gr. 8) 11
Chapter 11 Resource
Masters
Teacher’s Edition p. 552 B
Thursday
05/17/12
11.5 Surface Area: Pyramids and
Cones
Activity: Volume pp. 145 - 147
Chapter 11 Resource
Masters
Teacher’s Edition p. 552 B
Friday
05/18/12
11.6 Similar Solids
Activity: Similar Solids p. 146
Chapter 11 Resource
Masters
Teacher’s Edition
p. 552 B
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
66
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/21/12
Cont … 11.6
Study Guide for 11.2 – 11.6
Tuesday
05/22/12
Assessment: 11.2 – 11.6
Wednesday
05/23/12
Review of 2012 CRT Probes
Thursday
05/24/12
Review for Teacher Developed Second
Semester Development
Friday
05/25/12
Teacher Developed Second Semester
Assessment
66
Birmingham City Schools
Pre-AP Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, Laying the Foundation, and Real World
Applications Revised June 2011
67
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/28/12
Memorial Day
(Schools & District Offices Closed)
Tuesday
05/29/12
Make-Up Exam
Wednesday
05/30/12
Last Day for Students
** Report Cards Go Home
Thursday
05/31/12
Teacher Work Day
Friday
06/01/12
Inclement Weather Day
(Inclement Weather Days)
67
68
Birmingham City Schools
Pre-Algebra First Semester Objectives
First Semester Assessment (CRT) will be administered using ThinkLink Probes
December 5 – 12, 2011
When teaching objectives, use examples and assign practice involving decimals and fractions in
addition to whole numbers. Teach using real world applications and appropriate problem
solving strategies.
The student will be able to:
Demonstrate a knowledge of all vocabulary
Apply number theory
Identify prime and composite numbers
Factor Natural Numbers
Find and use the LCM and the GCF to solve problems
Use the Real Number System and its’ properties
Apply rules for operations with Real Numbers
Model Real Numbers on the number line, write opposites, absolute values, and
reciprocals
Apply the rule for simplifying and evaluating expressions using Order of Operations
Solve simple equations: two-step and multi-step using addition, subtraction,
multiplication, division, and the Distributive Property
Translate verbal phrases into algebraic expressions and vice versa
Express a pattern in a table, graph, or chart as an algebraic expression
Simplify algebraic expressions containing exponents (positive, negative, and zero)
Add, subtract, multiply, and divide rational numbers
Solve equations containing rational numbers
Write ratios, rates, and solve proportions; determine percent of increase or
decrease, and solve percent equations
Write and use fraction, decimal, and percent equivalence
Determine measures of central tendency: mean, median, mode, and range
Use box-and-whisker plots, stem-and leaf plots, and histograms to organize and
interpret data
Use probability, permutations, and combinations in problem solving
Understand and use the Coordinate Plane
Use scale drawings and maps in problem solving
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
69
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/08/11
In-House Professional
Development Day
(No Students)
Tuesday
08/09/11
Teacher Work Day
(No Students)
Wednesday
08/10/11
First Semester Begins
First Day for Students
Discuss: course description,
expectations (classroom rules and
grading), materials and supplies
(pencils, loose-leaf paper, graph
paper, folders, etc), and notebook
organization
Thursday
08/11/11
ARMT Item Specifications for
Mathematics Grade 7
pp. 5-13
(Gr.7) 1, 2, 3
Multiple Choice
Gridded
Friday
08/12/11
Chapter 1: The Tools of Algebra
1.1 Using Problem-Solving Plan
(Gr.7) 3
Multiple Choice
Chapter 1
Resource Masters
Teacher’s Edition p. 4B
AIMS pp. 8 - 33
69
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
70
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/15/11
1.2 Numbers and Expressions
1.3 Variables and Expressions
(Gr.7) 3, 5
(Gr. 8) 3,4
Multiple Choice
Gridded
Chapter 1
Resource Masters
Teacher’s Edition p. 4B
AB Labs 1.1 – 1.4
Tuesday
08/16/11
1.4 Properties
(Gr.7) 2
(Gr.8) 3
Resource Masters
Teacher’s Edition
p. 4B
Wednesday
08/17/11
Quiz/ Vocabulary quiz
1.5 Variables and Equations
Lab 1
(Gr.7) 2, 5
(Gr.8) 4, 5
Resource Masters
Teacher’s Edition
p. 4B
Thursday
08/18/11
1.6 Ordered Pairs and Relations
(Gr.7) 4
Resource Masters
Teacher’s Edition
p. 4B
AIMS pp. 12-22
Friday
08/19/11
1.7 Scatter Plots
Activity: Scatter Plots p. 39
Real World Application p. 1
(Gr.7) 4
(Gr. 8) 13
70
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the
Foundation, and Real World Applications Revised June 2011
71
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/22/11
Chapter 1: Standardized Test
Practice pp. 52-53 TWE
(Gr.7) 2, 3, 4, 5
(Gr.8) 3, 4, 13
Tuesday
08/23/11
Assessment: Chapter 1 Test
Wednesday
08/24/11
Use Handout: Draft 7th
Grade
Lesson Plans ACOS Objective #
12: Determine measures of central
tendency.
5.8 Measures of Central
Tendency
Activity: Mean, Mode, and
Median pp. 71-72
Real World Applications p. 5
(Gr.7) 12
(Gr.8) 13
Multiple Choice
Gridded
Open-ended
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Thursday
08/25/11
Cont…5.8 Measures of Central
Tendency
Activity: Mean Deviation
p. 73
(Gr.7) 12
(Gr.8) 13
Multiple Choice
Gridded
Open-ended
Friday
08/26/11
Review Prerequisite Skills p.
605
Chapter 12: More Statistics
and Probability
12.1 Stem-and-Leaf Plots
12.2 Measures of Variation
(Gr.7) 12
(Gr.8) 13
Chapter 12
Resource Masters
Teacher’s Edition
p. 604B
71
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the
Foundation, and Real World Applications Revised June 2011
72
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
08/29/11
12.4 Histograms
(Gr.8) 13
Chapter 12
Resource Masters
Teacher’s Edition
p. 604B
Tuesday
08/30/11
12.5 Misleading Statistics
12.6 Counting Outcomes
(Gr.7) 13
(Gr.8) 13
Wednesday
08/31/11
12.7 Permutations and
Combinations
12.8 Odds
(Gr.7) 13
(Gr.8) 14
Multiple Choice
Gridded
Open-ended
Thursday
09/01/11
Cont … 12.7 and 12.8
Friday
09/02/11
Professional Development
Day
7th
Grade
ARMT Training for at least First
and Second Year Teachers
The Lincoln Center
8:00 a.m. - 11:00 a.m.
72
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the
Foundation, and Real World Applications Revised June 2011
73
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/05/11
Labor Day
(Schools & District Offices Closed)
Tuesday
09/06/11
Use Handout: Draft 7th
Grade
Lesson Plans ACOS Objective # 13:
Determine the probability of a
compound event.
12.9 Probability of
Compound Events
(Gr.7) 13
(Gr.8) 14
Multiple Choice
Gridded
Open-ended
Wednesday
09/07/11
Cont … 12.9
Review Measures of Central
Tendency
Thursday
09/08/11
Assessment: 12.1, 12.2, and
12. 4 - 12.
Include Measures of Central
Tendency: 5.8
Friday
09/09/11
Chapter 2: Integers
Define chapter terms
2.1 Integers and Absolute
Values
Real World Applications p. 2
(Gr.7) 2
(Gr.8) 1,3
Multiple Choice
Gridded
Open-ended
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
73
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the
Foundation, and Real World Applications Revised June 2011
74
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/12/11
Cont … 2.1
Lab 2: Electrical Charges
Tuesday
09/13/11
Cont…2.1 Integers and
Absolute Values
Lab 2: Electrical Charges
(Gr.7) 2
(Gr.8) 1,3
Multiple Choice
Gridded
Wednesday
09/14/11
Cont…2.1 Integers and
Absolute Values
Lab 2: Electrical Charges
(Gr.7) 2
(Gr.8) 1,3
Multiple Choice
Gridded
Thursday
09/15/11
* Progress Reports Go Home
2.2 Adding Integers
Activity: Adding Integers pp. 38 – 40
(Gr.7) 1,2
Multiple Choice
Gridded
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
Friday
09/16/11
2.4 Multiplying Integers
2.5 Dividing Integers
(Gr.7) 1, 2
(Gr. 8) 3
Multiple Choice
Gridded
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B AB Labs 5.2 – 5.5
74
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the
Foundation, and Real World Applications Revised June 2011
75
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/19/11
Cont…2.4 Multiplying Integers
Cont…2.5 Dividing Integers
Activity: Multiplying Integers pp. 42 – 43
(Gr.7) 1, 2
(Gr.8) 3
Multiple Choice
Gridded
Tuesday
09/20/11
Assessment: Addition,
Multiplication and Division of
Integers
Wednesday
09/21/11
2.3 Subtracting Integers
(Model, Develop the Rules, …)
Spring Board Activity: The
Integer Games
(Gr.7) 1, 2, 4
Multiple Choice
Gridded
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
SpringBoard Book or Handouts
Thursday
09/22/11
Cont … 2.3
Cont … SpringBoard Activity
Friday
09/23/11
Vocabulary quiz (Very
Important)
2.6 The Coordinate System
Chapter 2: Standardized Test
Practice
(Gr.7) 1, 2, 4
(Gr.8) 1, 3, 4
Multiple Choice
Chapter 2
Resource Masters
Teacher’s Edition
p. 54B
75
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the
Foundation, and Real World Applications Revised June 2011
76
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
09/26/10
Laying the Foundation
“Sketch My Graph”
Laying the Foundation
Tuesday
09/27/11
Assessment: Chapter 2 Test
Wednesday
09/28/11
Chapter 3: Equations
Define chapter terms
3.1 The Distributive Property
Activity: Distributive Property
pp. 47 – 48
(Gr.7) 6
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
Thursday
09/29/11
3.2 Simplifying Algebraic
Expressions
(Gr.7) 5
(Gr.8) 3
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
Friday
09/30/11
3.3 Solving Equations by
Adding or Subtracting
(Gr.7) 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
AB Labs 10.2, 10.4 – 10.5
76
+
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
77
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/03/11
Cont…3.3 Solving Equations
Activity: Solving Equations with
Algebra Tiles pp. 49 – 51
ARMT Probes
October 3 – 7, 2011
(Gr.7) 6
Multiple Choice
Tuesday
10/04/11
Equations 3.4 Solving by
Multiplying or Dividing
Real World Application p 3
(Gr.7) 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
Wednesday
10/05/11
ARMT Practice # 1
(15 minutes)
3.5 Solving Two-Step Equations
Lab 9 pp. 37 – 40
(Gr.7) 6
(Gr.8) 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
Thursday
10/06/11
Cont…3.5 Solving Two-Step
Equations
Activity: Two-Step Equations
pp. 52 – 54
(Gr.7) 6
(Gr.8) 6
Multiple Choice
Friday
10/07/11
3.6 Writing Two-Step Equations
(Gr.7) 5,6
(Gr.8) 4 , 6
Multiple Choice
Chapter 3
Resource Masters
Teacher’s Edition
p. 96B
77
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
78
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/10/11
Cont…3.6 Writing Two-Step
Equations
Activity: Discovering Patterns
in Mathematics p. 55
(Gr.7) 5, 6
Multiple Choice
Tuesday
10/11/11
3.7 Using Formulas
Study Guide
(Gr.7) 9, 10
(Gr.8) 4, 10
Chapter 3
Resource Masters
Teacher’s Edition p. 96B
Wednesday
10/12/11
Cont… 3.7
Thursday
10/13/11
SpringBoard Activity
Melody’s Music Solution
Gr.7) 2, 4, 6
(Gr.8) 13
SpringBoard
Hand-outs or Book if available
Friday
10/14/11
Assessment: Chapter 3 Test
78
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
79
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/17/11
Activity: Finding Factors
Define chapter terms
(homework)
4.1 Factors and Monomials
(Gr.8) 1
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Tuesday
10/18/11
4.2 Powers and Exponents
(Gr.7) 2
(Gr.8) 3
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Wednesday
10/19/11
4.3 Prime Factorization
Activity: Prime Numbers p. 61
**Report Cards Go Home
(Early Dismissal for Students)
(Gr.8) 1
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Thursday
10/20/11
4.4 Greatest Common Factors
(GCF)
(Gr.8) 1
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Friday
10/21/11
Assessment: Mid-Chapter Test
(Gr.7) 2
(Gr.8) 1, 3
79
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
80
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/24/11
4.5 Simplifying Algebraic
Fractions
(Gr.7) 5,6
(Gr.8) 1
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Tuesday
10/25/11
Cont…4.5 Simplifying Algebraic
Fractions
(Gr.7) 5,6
(Gr.8) 1
Multiple Choice
AB Labs 2.1 – 2.5, 3.1 – 3.5
Wednesday
10/26/11
4.6 Multiplying and Dividing
Monomials
Activity: Equivalent Fraction
pp. 62-63
(Gr.8) 2
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Thursday
10/27/11
Cont… 4.6 Multiplying and
Dividing Monomials
(Gr.8) 2
Multiple Choice
Friday
10/28/11
Fall Break
(Schools & District Offices Closed)
80
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
81
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
10/31/11
4.7 Negative Exponents
(Gr.7) 2
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Tuesday
11/01/11
4.8 Scientific Notation
Activity: Operations with
Scientific Notation p. 64
Study Guide
ARMT Probes
November 1 – 7, 2011
(Gr.7) 2
Multiple Choice
Chapter 4
Resource Masters
Teacher’s Edition
p. 146B
Wednesday
11/02/11
ARMT Practice #2
(15 minutes)
SpringBoard Activity
A Fairly Ordered Operation
(Gr.7) 1, 2
SpringBoard Workbook
Thursday
11/03/11
Assessment: Chapter 4 Test
Friday
11/04/11
Chapter 5: Rational Numbers
Define chapter terms
5.1 Writing Fractions as Decimals
(Gr. 7) 3
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
81
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
82
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
11/07/11
5.2 Rational Numbers
Activity: Fractions p. 69
(Gr. 7) 3
(Gr. 8) 1,10
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Tuesday
11/08/11
5.3 Multiplying Rational
Numbers
Lab 3: Plant Growth pp. 9 – 12
(Gr. 7) 3
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Wednesday
11/09/11
5.4 Dividing Rational Numbers
(Gr. 7) 3
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Thursday
11/10/11
Assessment: Quiz 5.1 – 5.4
5.5 Adding and Subtracting Like
Fractions
(Gr. 7) 2
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Friday
11/11/11
Veteran’s Day
(Schools & District Offices Closed)
82
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
83
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
11/14/11
5.6 Least Common Multiple
Activity: Juniper Green p. 70
(Gr. 8) 1
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Tuesday
11/15/11
Cont…5.6
(Gr. 8) 1
Wednesday
11/16/11
*Progress Reports Go Home
Assessment: Quiz 5.1 – 5.6
(Gr. 7) 2, 3
(Gr. 8) 1, 10
Thursday
11/17/11
5.7 Adding and Subtracting
Unlike Fractions
(Gr. 7) 2
(Gr. 8) 1
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
Friday
11/18/11
5.9 Solving Equations with
Rational Numbers
(Gr. 7) 3
(Gr. 8) 10
Multiple Choice
Chapter 5
Resource Masters
Teacher’s Edition
p. 198B
83
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
84
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
11/21/11
Study Guide and Review
pp. 254 - 259
(Gr. 7) 2, 3
(Gr. 8) 1, 10
Tuesday
11/22/11
Assessment: Chapter 5 Test
Wednesday
11/23/11
Thanksgiving Holiday
(Schools & District Offices Closed)
Thursday
11/24/11
Thanksgiving Holiday
(Schools & District Offices Closed)
Friday
11/25/11
Thanksgiving Holiday
(Schools & District Offices Closed)
84
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
85
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
11/28/11
Chapter 6: Ratio, Proportion, and
Percent
Use Handout: Draft 7th
Grade Lesson
Plans ACOS Objective # 11: Solve
problems using proportional reasoning.
Define chapter terms
6.1 Ratios and Rates
(Gr. 7) 3, 11
(Gr. 8) 1
Multiple Choice
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
AIMS pp. 43-51
Tuesday
11/29/11
6.2 Using Proportions
Activity: Capture-Recapture
pp. 84-86
(Gr. 7) 3, 11
(Gr. 8) 1
Multiple Choice
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
Wednesday
11/30/11
Cont…6.2 Using Proportions
Lab 18: Physical Factors of Soil
pp. 81 – 84
(Gr. 7) 3,11
(Gr. 8) 1
Multiple Choice
Thursday
12/01/11
6.3 Scale Drawing and Models
(Gr. 7) 8
(Gr. 8) 1
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
Friday
12/02/11
6.4 Fractions, Decimals, and
Percents
(Gr. 7) 2
(Gr. 8) 1
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
85
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
86
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
12/05/11
First Semester CRT Probes
December 5 – 12, 2011
Quiz: Sections 6.1 – 6.4
Tuesday
12/06/11
First Semester CRT Probes
December 5 – 12, 2011
6.5 Using the Percent Proportion
(Gr. 7) 3, 11
(Gr. 8) 1
Multiple Choice
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
Wednesday
12/07/11
First Semester CRT Probes
December 5 – 12, 2011
Cont … 6.5
Activity: Percents, Decimals,
Fractions, and Circle Graphs
pp. 87 - 89
Thursday
12/08/11
First Semester CRT Probes
December 5 – 12, 2011
6.8 Percent of Change
Real World Application p. 6
(Gr. 7) 3, 11
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
Friday
12/09/11
First Semester CRT Probes
December 5 – 12, 2011
6.9 Probability and Predictions
Activity: Taking a Survey p. 94
(Gr. 7) 13
(Gr. 8) 14
Chapter 6
Resource Masters
Teacher’s Edition
p. 262B
86
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
87
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
12/12/11
First Semester CRT Probes
December 5 – 12, 2011
Review for First Semester
Teacher Developed Assessment
Tuesday
12/13/11
Teacher Developed First
Semester Assessment
Wednesday
12/14/11
Make-Up
Review of CRT Probes
Thursday
12/15/11
End of First Semester
Last Day for Students and
Teachers
Friday
12/16/11
December 16 - January 3
(Students’ Christmas Holidays)
87
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
88
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
Tuesday
Wednesday
Thursday
Friday
88
89
Birmingham City Schools
Pre-Algebra Second Semester Objectives
Second Semester Assessment (CRT) will be administered using ThinkLink Probes
May 7 – 14, 2012
When teaching objectives, use examples and assign practice involving decimals and fractions in
addition to whole numbers. Teach using real world applications and appropriate problem
solving strategies.
The student will be able to:
Demonstrate proficiency in the use of First Semester Vocabulary and develop a
thorough knowledge of Second Semester Vocabulary
*Compute using integer operations, solve basic equations, apply order of operations,
evaluate and simplify algebraic expressions containing whole numbers, decimals, and
fractions
Solve equations including variables on each side and grouping symbols
Solve and graph simple inequalities using addition, subtraction, multiplication, and
division
Use functions to describe relationships between two quantities and determine
whether relations are functions
Explore similarity and congruence in polygons; solve problems involving similar
figures; and use indirect measurement
Use angle and side relationships to solve problems
Explore square roots and solve equations whose solutions are square roots
Use the Pythagorean Theorem in solving problems
Find the distance and/or midpoint of line segments given two points
Compute area and perimeter of triangles, parallelograms, and trapezoids
Use area and perimeter in solving real-life problems
Compute volume and surface area of prisms, cylinders, pyramids, and cones
Compute the circumference and area of a circle
Recognize geometric relationships among two and three dimensional objects
Identify transformations; reflections, rotations, and translations
Determine the slope and y-intercept of a line
Write the equation of a line given the slope and y-intercept; a graph; a table; or two
points
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
90
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/02/12
Schools and District Offices Closed
Tuesday
01/03/12
In-House
Professional Development Day
(No Students)
Wednesday
01/04/12
(Second Semester Begins)
Chapter 7: Equations and
Inequalities
Define chapter terms
7.1 Solving Equations with
Variables on Each Side
(Gr. 7) 6
(Gr. 8) 6
Multiple Choice
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
AB Lab 10.6 – 10.8, 10.10
Thursday
01/05/12
Cont…7.1 Solving Equations with
Variables on Each Side
Activity: Solving Equations with
Variables on Each Side
pp.97 – 100
(Gr. 7) 6
(Gr. 8) 6
Multiple Choice
Friday
01/06/12
Cont…7.1 Solving Equations with
Variables on Each Side
SpringBoard Activity
**Cooking with Andre
(Gr. 7) 6
(Gr. 8) 6
Multiple Choice
SpringBoard
Hand-outs or Book if
available
90
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
91
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/09/12
Cont… SpringBoard Activity
**Cooking with Andre
Tuesday
01/10/12
7.2 Solving Equations with Grouping
Symbols
(Gr. 7) 6
(Gr. 8) 6
Multiple Choice
Wednesday
01/11/12
7.3 Inequalities
** Report Cards Go Home
(Gr. 7) 6
(Gr. 8) 6
Chapter 7 Resource Masters
Teacher’s Edition
p.326 B
Thursday
01/12/12
Assessment: Quiz 7.1 – 7.2
Cont … 7.3
Friday
01/13/12
7.4 Solving Inequalities by Adding or
Subtracting
Activity: Inequalities and the
Number Line p. 101
ARMT Probes January 13 – 20, 2012
(Gr. 7) 6
Multiple Choice
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
91
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
92
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/16/12
Dr. Martin Luther King, Jr. Day
(Schools & District Offices Closed)
Tuesday
01/17/12
7.5 Solving Inequalities by
Multiplying or Dividing
(Gr. 7) 6
Multiple Choice
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
Wednesday
01/18/12
ARMT Practice #3
(15 minutes)
Cont…7.5 Solving Inequalities by
Multiplying or Dividing
(Gr. 7) 6
Multiple Choice
Thursday
01/19/12
7.6 Solving Multi-Step Inequalities
(Gr. 7) 6
Multiple Choice
Chapter 7
Resource Masters
Teacher’s Edition
p. 326B
Friday
01/20/12
Cont…7.6 Solving Multi-Step
Inequalities
(Gr. 7) 6
Multiple Choice
92
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
93
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/23/12
Study Guide and Chapter Review
pp. 360 – 362
Tuesday
01/24/12
Assessment : Chapter 7
8.4 Functions
(Gr. 7) 4
(Gr. 8) 5
Multiple Choice
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Wednesday
01/25/12
8.2 Linear Functions in Two Variables
(Gr. 7) 4
(Gr. 8) 4,5,10
Multiple Choice
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Thursday
01/26/12
Cont … 8.2
Friday
01/27/12
Assessment: Quiz 8.1 – 8.2
93
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
94
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
01/30/12
Chapter 9: Real Numbers and
Right Triangles
Define chapter terms
9.1 Squares and Square Roots
(Gr. 7) 10
Multiple Choice
Gridded
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Tuesday
01/31/12
9.3 Angles
(Gr. 8) 9
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Wednesday
02/01/12
9.4 Triangles
(Gr. 8) 8
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Thursday
02/02/12
Cont…9.4 Triangles
Friday
02/03/12 9.7 Similar Triangles and Indirect
Measurements
Activity: Similar Triangles and
Indirect Measurement p. 119
(Gr.7) 8
(Gr. 8) 1,8,12
Multiple Choice
Open - Ended
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
94
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
95
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
02/06/12
Cont…9.7 Similar Triangles and
Indirect Measurements
Tuesday
02/07/12
Chapter 10:Two Dimensional
Figures
Use Handout: Draft 7th
Grade Lesson
Plans ACOS Objective # 8: Recognize
geometric relationships among two-
dimensional and three-dimensional
objects.
Define chapter terms
10.1 Line and Angle Relationships
Activity: Constructions p. 126
(Gr.7) 8
(Gr. 8) 9
Multiple Choice
Open - Ended
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Wednesday
02/08/12
Cont…Handout
Thursday
02/09/12
Cont…Handout
Friday
02/10/12
*Progress Reports Go Home
Cont… 10.1
95
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
96
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and
8
ARMT
OTHER RESOURCES
Monday
02/13/12
10.2 Congruent Triangles
Activity: Exploring Congruence
p. 127
q.
(Gr. 8) 8
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Tuesday
02/14/12
Chapter 11: Three –Dimensional Figures
Define Chapter Terms
11.1 Three-Dimensional Figures
Activity: Building Three-Dimensional Figures
p. 143
(Gr. 7) 8
Multiple Choice
Open-Ended
Chapter 11
Resource Masters
Teacher’s Edition
p.552B
AB Lab 11.4 – 11.5
Wednesday
02/15/12
Cont …11.1
Thursday
02/16/12
Cont …11.1
ARMT Probes February 16 – 24, 2012
(Gr. 7) 10
(Gr. 8) 10
Multiple Choice
Gridded
Friday
02/17/12
District-Wide
Professional Development Day
(No Students)
96
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
97
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
02/20/12
Presidents’ Day
(Inclement Weather Day)
(Schools and District Offices Closed)
Tuesday
02/21/12
Use Handout: Draft 7th
Grade
Lesson Plans ACOS Objective # 7:
Determine the transformation(s) used
to alter the position of a polygon on
the coordinate plane.
10.3 Transformations on the
Coordinate Plane
(Gr.7) 7
Multiple Choice
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Wednesday
02/22/12
ARMT Practice # 4
(15 minutes)
Cont … 10.3
Activity: Symmetry and Dilations
pp. 128 – 129
Thursday
02/23/12
Cont … 10.3
Activity: Symmetry and Dilations
pp. 128 - 129
Friday
02/24/12
10.4 Quadrilaterals
Spring Board Activity
The Sagging Gate
(Gr. 8) 8
SpringBoard
Hand-outs or Book if
available
97
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
98
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
02/27/12
Cont…Spring Board Activity
The Sagging Gate
Tuesday
02/28/12
Use Handout: Draft 7th
Grade
Lesson Plans ACOS Objective # 10:
Find the perimeter of polygons and
the area of triangles and trapezoids.
10.5 Areas: Parallelograms,
Triangles, and Trapezoids
Perimeter of Polygons
(Gr. 7) 10
(Gr. 8) 10
Multiple Choice
Gridded
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Wednesday
02/29/12
Cont…10.5
(Gr. 7) 10
(Gr. 8) 10
Multiple Choice
Gridded
Thursday
03/01/12
Cont…10.5
(Gr. 7) 10
(Gr. 8) 10
Multiple Choice
Gridded
Friday
03/02/12
Cont…10.5
(Gr. 7) 10
(Gr. 8) 10
Multiple Choice
Gridded
98
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
99
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
03/05/12
10.6 Polygons
Activity: Tessellations
pp. 133 - 135
Tuesday
03/06/12
Cont…10.6
Activity: Tessellations
pp. 133 - 135
(Gr. 7) 10
Multiple Choice
Gridded
Wednesday
03/07/12
Use Handout: Draft 7th
Grade Lesson
Plans ACOS # 9: Solve problems
involving circumference and area of
circles.
10.7 Circumference and Area: Circles
Activity: Circles and Slope
pp. 136-138
(Gr. 7) 9
Multiple Choice
Gridded
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Thursday
03/08/12
Cont…10.7
Friday
03/09/12
Cont…10.7
(Gr. 7) 9
Multiple Choice
Gridded
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
99
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
100
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
03/12/12
Cont…10.7
(Gr. 7) 9
Multiple Choice
Gridded
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Tuesday
03/13/12
10.8 Areas: Irregular Figures
Activity: How Big is Your Foot?
pp. 139-140
Study Guide
(Gr. 8) 10
Chapter 10
Resource Masters
Teacher’s Edition
p. 490B
Wednesday
03/14/121
Study Guide and Review
pp. 544 - 548
Lab 5: pp. 19-24
Real World Application p 10
(Gr. 7) 7, 8, 10
(Gr. 8) 8, 9, 10
Thursday
03/15/12
Assessment: Chapter 10 Test
Take Home Packet to
include no more than 4
activities – include games,
puzzles …
Friday
03/16/12
Review for ARMT
March 19 - 23
(Spring Break)
Use math games and
various manipulatives to
review skills in periods not
testing.
100
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
101
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
03/26/12
Review for ARMT
Use math games and
various manipulatives to
review skills.
Tuesday
03/27/12
Review for ARMT
Use math games and
various manipulatives to
review skills.
Wednesday
03/28/12
Review for ARMT
Use math games and
various manipulatives to
review skills.
Thursday
03/29/12
Review for ARMT
** Report Cards Go Home
Use math games and
various manipulatives to
review skills.
Friday
03/30/12
Review for ARMT
8.3 Graphing Linear Equations Using
Intercepts
Lab 4: Graphing Relationships
pp. 13-18
(Gr. 8) 4,5
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
101
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
102
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/02/12
Review for ARMT
Cont … 8.3
Tuesday
04/03/12
Review for ARMT
8.4 Slope
Activity: Graphing and Slope
pp. 106-107
(Gr.7) 4
(Gr. 8) 4
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Wednesday
04/04/12
Review for ARMT
Cont … 8.4 Slope
Activity: Graphing and Slope
pp. 106-107
(Gr.7) 4
(Gr. 8) 4
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Thursday
04/05/12
Review for ARMT
8.5 Rate of Change
(Gr. 7) 4
(Gr. 8) 4
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Friday
04/06/12
Review for ARMT
102
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
103
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/09/12
ARMT Testing Period
April 9 – 20, 2012
Cont…8.5
(Gr. 7) 4
(Gr. 8) 4,
Tuesday
04/10/12
ARMT
Assessment: Quiz 8.3 – 8.5
Wednesday
04/11/12
ARMT
8.6 Slope - Intercept Form
(Gr. 7) 4
(Gr. 8) 4,5
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Thursday
04/12/12
ARMT
Cont…8.6
(Gr. 7) 4
(Gr. 8) 4,5
Friday
04/13/12
ARMT
Cont…8.6
103
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
104
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/16/12
ARMT
8.7 Writing Linear Equations
Activity: Constant Rate of Change
p. 109
(Gr. 7) 5
(Gr. 8) 5
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Tuesday
04/17/12
ARMT
Cont … 8.7
Wednesday
04/18/12
ARMT
8.8 Best Fit Lines
Real World Applications p. 8
(Gr. 7) 4
(Gr. 8) 13
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Thursday
04/19/12
ARMT
8.9 Solving Systems of Equations
(Gr. 8) 5
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Friday
04/20/12
Spring Holiday
(Inclement Weather Day)
(Schools and District Offices Closed)
104
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
105
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/23/12
Spring Holiday
(Inclement Weather Day)
(Schools and District Offices Closed)
Tuesday
04/24/12
Cont … 8.9
Wednesday
04/25/12
8.10 Graphing Inequalities
Study Guide
(Gr. 7) 6
Chapter 8
Resource Masters
Teacher’s Edition
p. 326B
Thursday
04/26/12
Chapter Review and Study Guide
pp. 424 – 428
(Gr. 7) 4, 5, 6
(Gr. 8) 4, 5, 13
Friday
04/27/12
Assessment: Chapter 8 Test
105
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
106
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
04/30/12
* Progress Reports Go Home
9.5 The Pythagorean Theorem
Real World Application p. 9
Activity: The Pythagorean Theorem
pp. 115-117
(Gr. 8) 7
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Tuesday
05/01/12
Cont…9.5
(Gr. 8) 7
Wednesday
05/02/12
9.6 The Distance and Midpoint Formulas
Activity: Using the Pythagorean Theorem
p. 118
Laying the Foundation
“Pythagorean Theorem Investigation”
(Gr. 8) 7
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Laying the Foundation
Thursday
05/03/12
Cont … 9.6
Friday
05/04/12
Review for
Second Semester CRT
106
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
107
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/07/12
Second Semester CRT Probes
May 7 – 14, 2012
Assessment: Quiz 9.5 and 9.6
Review for Pre - Algebra
Second Semester CRT Assessment
Tuesday
05/08/12
Pre - Algebra
Second Semester CRT Assessment
Wednesday
05/09/12
Second Semester CRT Probes
May 7 – 14, 2012
9.7 Similar Triangles and Indirect
Measurements
Activity: Similar Triangles and Indirect
Measurement p. 119
(Gr.7) 8
(Gr.8) 1, 8, 12
Chapter 9
Resource Masters
Teacher’s Edition
p. 366B
Thursday
05/10/12
Second Semester CRT Probes
May 7 – 14, 2012
Cont … 9.7
Friday
05/11/12
Second Semester CRT Probes
May 7 – 14, 2012
11.2 Volumes: Prisms and Cylinders
Activity: Volume p. 14
(Gr. 8) 11
AB Lab 11.4, 11.5
107
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
108
DATE
LESSON PLAN
ALABAMA
COURSE OF
STUDY Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/14/12
Second Semester CRT Probes
May 7 – 14, 2012
Cont … 11.2
11.3 Volume: Pyramids and Cones
(Gr.8) 11
Chapter 11
Resource Masters
Teacher’s Edition
p. 552B
Tuesday
05/15/12
Cont … 11.3
11.4 Surface Area: Prisms and Cylinders
(Gr. 8) 11
Wednesday
05/16/12
Assessment: Quiz 9.7 – 11.3
Cont … 11.4
11.5 Surface Areas: Pyramids and Cones
Activity: Volume pp.145 - 147
(Gr. 8) 11
Thursday
05/17/12
Cont … 11.5
Friday
05/18/12
11.6 Similar Solids
Activity: Similar Solids p. 146
(Gr. 8) 11, 12
108
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
109
DATE
LESSON PLAN
ALABAMA
COURSE OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/21/12
Cont … 11.6 Similar Solids
SpringBoard Activity
Squares and Cubes
SpringBoard Hand-outs of
Book if available
Tuesday
05/22/12
Cont… SpringBoard Activity
Squares and Cubes
Wednesday
05/23/12
Review of 2012 CRT Probes
Thursday
05/24/12
Review for Teacher Developed Second
Semester Assessment
Friday
05/25/12
Teacher Developed Second Semester
Assessment
109
Birmingham City Schools
Pre -Algebra – Grade 7
PACING GUIDE
Review / Discuss Daily: Homework Reference Materials: ARMT Blueprint, AIMS, Teaching with Manipulatives, Math and Science Lab, Algeblocks (AB Lab), ARMT Item Specifications CD, SpringBoard, Laying the Foundation, and Real
World Applications Revised June 2011
110
DATE
LESSON PLAN
ALABAMA COURSE
OF STUDY
Grades 7 and 8
ARMT
OTHER RESOURCES
Monday
05/28/12
Memorial Day
(Schools and District Offices Closed)
Tuesday
05/29/12
Make-Up Exam
Wednesday
05/30/12
Last Day for Students
**Report Cards Go Home
Thursday
05/31/12
Teacher Work Day
(No Students)
Friday
06/1/12
Inclement Weather Day
110
111
Grade 7 SpringBoard Instructional Units
Title
Prerequisites
Conceptual
Components
Required Materials
Integer Games
(Grade 6 – page 81)
Operations with whole
numbers
Definition of an integer
Operations with integers
Ordering integers
Completing tables
Pattern recognition
Formulating rules for
operations with integers
For each group:
Deck of Integer Game
cards (two of each card
per deck)
About 60 positive and 60
negative markers
Two-colored chip
marked ADD on one side
and SUBTRACT on the
other side
Four-function calculator
A Fairly Ordered
Operation
Addition and
subtraction
Multiplication and
division
Evaluating Powers
Order of operations No special materials are
required for this Unit
Tick Tock Toothpick
Plotting points on a
coordinate plane
Pattern recognition
Data analysis
Multiple representations
of data (tables, words,
graphs, and equations)
Equivalent ratios
Linear models
Linear models to make
predictions
Toothpicks
Whiteboard or chart
paper
Melody’s Music
Solution
Concept of a variable
as a placeholder
Evaluation of
expressions
Basic graphing skills
Evaluate expressions
Find and analyze patterns
Guess solution and check
Solving equations by
various methods
Interpret graphs
Equivalent expressions
Whiteboard
Cooking with Andre
(Grade 6 – page 67)
Arithmetic operations
with whole numbers
Some concept of
scaling factor
Some concept of
dividing a whole into
equal parts
Some conceptual
meaning of fraction
Modeling the operation
of division by whole
numbers
Scaling factor
Modeling the operation
of division by fractions
Representation of scaling
by pictures and arithmetic
operations
Measuring cups
Measuring spoons
Rice (or some other
suitable particular matter
for measuring)
111
Title
Prerequisites
Conceptual
Components
Required Materials
The Sagging Gate Measuring lengths to
the nearest ¼ in. and
0.1cm
Measuring angles with
protractors
Terms: diagonals (of a
quadrilateral), pair,
parallelogram,
quadrilateral,
rectangle, right angle,
units
Definition and properties
of special quadrilaterals
Linear and angle
measurement
Geometry vocabulary
Ruler with ¼ in. and
0.1cm precision
Protractor with 5°
precision
Straight edge (if not a
part of the ruler)
One, Two, Three …Red
Light
Plotting points on a
coordinate grid
Operations with
integers
Evaluating functions
Reflection, rotation, and
translation
Functions in a coordinate
pair
Rigid transformations
versus non-rigid
transformations
Connecting
transformations
algebraically and
geometrically
Game boards
Game piece
Instruction cards
Score sheets
Squares and Cubes
Concepts of a
rectangle
Concept of a
rectangular solid
Counting squares in a
rectangular region
Counting cubes in a
rectangular region
Area and volume
Area of a square
Volume of a cube
Exponents
Square root and cube root
Exponents in calculations
Square tiles and cubes
(optional)
113
114
115