Unit Objectives: DAILY ACTIVITIES Warm-Ups Grade Math 08-09.pdf · Unit Objectives: DAILY ACTIVITIES: Warm-Ups: ... Lesson 7: Convert between Fractions, Decimals, ... math log; markers,

Subject: Math Calendar: First Quarter Timeframe: 9 wks Level/Grade: 7th

Unit Objectives: DAILY ACTIVITIES:

Warm-Ups: Multi-Step Problems students work on immediately after entering the classroom. They copy these problems off the board and work them out in their Math logs.

• Adding, Subtracting, Multiplying, and Dividing Decimals (7.2 A, B, F, G)• Adding, Subtracting, Multiplying, and Dividing Fractions (7.2 A, B, F, G)• Convert between fractions, decimals, percents, and whole numbers (7.1 B; 7.2 A,

B, F, G)

Speed Tests: A timed three minute, fifty question test of skills used to sharpen skills used daily in math.

• Reducing Fractions (7.2 A, F, G)• Finding a Common Denominator (7.2 A, F, G)• Finding the squares and square roots of numbers. (7.2 A, E, F, G)

50 Problems: Fifty problems assigned on Monday and due on Friday. Weekly, the problems can become more complex. (7.1 B; 7.2 A, B, F, G; 7.3 A)

TAKS 2000: Two to four TAKS formatted questions asked and discussed daily. (All 7th grade TEKS)

Statistical Analysis: Data collection of quarterly averages and other data. The averages will be used to create line graphs, bar graphs, circle graphs, line plots, Venn diagrams, and stem and leaf plots. Students will figure measures of central tendencies and range with the data. (7.11 A, B; 7.12 A, B)

Subject: Math Calendar: Second Quarter Timeframe: 9 wks Level/Grade: 7th



• Sales Tax (7.3A)• Tip Tax (7.3A)• Discount (7.3A)


• Converting from a fraction to a percent. (7.1B)• Exponents (7.2E)

50 Problems: Fifty problems assigned on Monday and due on Friday. Weekly, the problems can become more complex. (7.2E, 7.5A, 7.1A)



Subject: Math Calendar: Third Quarter Timeframe: 9 wks Level/Grade: 7th



• Using models to add and subtract integers.(7.2C)• Using models to multiply and divide integers. (7.2C)• Using models to add and subtract fractions. (7.2B)• Using models to multiply fractions. (7.2A, 7.2B)


• Adding and subtracting integers (7.2C)• Multiplying and dividing integers (7.2C)• Converting from fraction to decimal to percent (7.1B)

50 Problems: Fifty problems assigned on Monday and due on Friday. Weekly, the problems can become more complex. (7.2E, 7.2C, 7.1B,7.3A, 7.5A)



Subject: Math Calendar: Fourth Quarter Timeframe: 9 wks Level/Grade: 7th



• Order of operations with integers (7.2C, 7.2E)• Converting from fraction to decimal to percent (7.1B)• Sales Tax, Tip Tax, Discount (7.3A)• Proportions (7.2D)


• Adding and subtracting fractions (7.2B)• Multiplying and dividing fractions 7.2B)• Converting from fraction to decimal to percent (7.1B)• Adding, Subtracting, Multiplying, and Dividing integers (7.2C)

50 Problems: Fifty problems assigned on Monday and due on Friday. Weekly, the problems can become more complex. (7.5A, 7.1B, 7.2E, 7.2C, 7.2B)



Subject: Math 1st Quarter: Week 1-2 Timeframe: 10 days Level/Grade: 7th

Unit 1: 6th Grade ReviewUnit Objectives: After completing this unit, the learner will

• Solve decimal problems using addition, subtraction, multiplication, and division.• Solve fraction problems using addition, subtraction, multiplication, and division.• Express improper fractions as mixed numbers and mixed numbers as improper fractions.• Convert between fractions, decimal, and percents.• Represent fractions, decimals, and percents using models.

Vocabulary: express, solve, convert, model, percent, operations

Lesson 1: Adding and Subtracting DecimalsStudents will solve problems by adding and subtracting decimals.

Lesson 2: Multiplying and Dividing DecimalsStudents will solve problems by multiplying and dividing decimals.

Lesson 3: Express Numbers as Improper Fractions and Mixed Numbers.Students will express improper fractions as mixed numbers and mixed numbers as improper fractions.

Lesson 4: Adding and Subtracting FractionsStudents will solve problems by adding and subtracting fractions.

Lesson 5: Multiplying and Dividing FractionsStudents will solve problems by multiplying and dividing fractions.

Lesson 6: Represent Fractions, Decimals, and Percents using ModelsStudents will use models to represent fractions, decimals, and percents.

Lesson 7: Convert between Fractions, Decimals, and PercentsStudents will convert between fractions, decimals, and percents (DooP method)

Activity Type: teacher guided instruction; self discovery; guided practice; partner practice, group work; worksheets; small projects

TEKS:

6.1 B

6.2 A, B, C

7.1 B

7.2 A, B, F, G

7.13 A, B, C, DMaterials: calculator; pencil; math log; markers,

SE Modifications: extra time for assignments, shortened assignments, use of calculator, oral test

Resources: teacher made worksheets, TAKS study guides, TAKS workbooks,

TA TEKS: 7H, 3D, 3E

GT Modifications: peer tutoring, benchmark problems

Evaluation Methods: self check, partner check, teacher check, written and oral observation by teacher, smart board work, assignments, quizzes, tests, projects

Subject: Math 1st Quarter: Week 3-9 Timeframe: 35 days Level/Grade: 7th

Unit 2: Percent ProblemsUnit Objectives: After completing this unit, the learner will

• Use models to represent percents.• Estimate and find solutions to application problems involving percents.• Estimate and find solutions to application problems involving proportional relationships

including percents.• Solve problems involving percent increase and percent decrease.• Solve problems involving sales tax.• Solve problems involving tip tax.• Solve problems involving discount.

Vocabulary: increase, decrease, solve, percent, models, formula, part, whole, proportional relationships, sales tax, tip tax, discounts

Lesson 1: Modeling PercentStudents will express various models as percents.

Lesson 2: Percent ProportionsStudents will use formulas to solve various types of proportions problems involving percents.

Lesson 3: Percent Increase and Percent DecreaseStudents will use a formula to solve various increase and decrease percent problems.

Lesson 4: Sales TaxStudents will solve various problems involving sales tax.

Lesson 5: Tip TaxStudents will solve various problems involving tip tax.

Lesson 6: DiscountStudents will solve various problems involving discounts.


TEKS:

7.2 B, F, G

7.3 A, B

7.13 A, B, C, D

Materials: calculator; pencil; math log; markers,



TA TEKS: 7H, 3D, 3E



Subject: Math 2nd Quarter: Week 1-4 Timeframe: 20 days Level/Grade: 7th

Unit 3: Exponents, Order of Operations, Combining Integers, Add-Subtract-Multiply-Divide Integers, One-Step Equations

Unit Objectives: After completing this unit, the learner will

• Use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals

• Use models such as concrete objects, pie models, and number lines to add, subtract, multiply, and divide integers and connect the actions to algorithms

• Simplify numerical expressions involving order of operations and exponents• Compare and order integers and positive rational numbers

Vocabulary: exponent, base number, integer, equation, variable, negative

Lesson 1: Order of OperationsStudents will solve problems using order of operations (not including exponents).

Lesson 2: Exponents and Order of OperationsStudents will solve problems using order of operations (including exponents).

Lesson 3: Integer BattleStudents will be introduced to integers by playing a game where playing cards represent integers.

Lesson 4: Adding and Subtracting IntegersStudents will solve adding and subtracting integer problems using the rules for adding and subtracting integers.

Lesson 5: Combining IntegersStudents will solve problems combining integers.

Lesson 6: Multiplying and Dividing IntegersStudents will solve problems multiplying and dividing integers.

Lesson 7: One-Step EquationsStudents will solve one-step equations using method taught in class.


TEKS:

7.1 A 7.14 A,B

7.2 B, C, E, F, G

7.11 B

7.13 C, DMaterials: calculator; pencil; math log; markers, playing cards, timer



TA TEKS: 7H, 3D, 3E




Unit 4: Compare and Order Fractions, Decimals, Percents, Integers; Modeling Fractions, Squares, and Square Roots


• Represent squares and square roots using geometric models• Use addition, subtraction, multiplication, and division to solve problems using fractions and

decimals• Use models such as concrete objects, pictorial models, and number lines, to add, subtract,

multiply, and divide integers and connect the actions to algorithms

Vocabulary: models, square of a number, square root

Lesson 1: Compare and Order Fractions and DecimalsStudents will solve problems comparing and ordering fractions and decimals.

Lesson 2: Compare and Order Fractions, Decimals, Percents, and Whole NumbersStudents will solve problems comparing and ordering fractions, decimals, percents, and whole numbers.

Lesson 3: Modeling FractionsStudents will use models to represent fractions.

Lesson 4: Modeling Fractions - 2Students will use models to represent and multiply fractions.

Lesson 5: Modeling Squares and Square RootsStudents will solve problems using models to represent squares and square roots.


TEKS:

7.1 C

7.2 B, C, F, G

7.13 D

7.15 BMaterials: calculator; pencil; math log; markers, modeling fraction cards, glue, scissors



TA TEKS: 7H, 3D, 3E




Unit 5: Ratios and Proportions, Proportions and Similar Figures


• Use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratios.

• Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling unit costs, and related measurement units.

• Use critical attributes to define similarity.

Vocabulary: ratio, unit rate/unit cost, proportion, similar

Lesson 1: Ratios and ProportionsStudents will solve problems involving ratios and proportions.

Lesson 2: Proportions and Similar FiguresStudents will solve problems involving proportions and similar figures.

Lesson 3: Proportion ProblemsStudents will solve more problems involving proportions.


TEKS:

7.2 D, F, G

7.3 B

7.13 A

7.6 DMaterials: calculator; pencil; math log; markers,



TA TEKS: 7H, 3D, 3E




Unit 5: Ratios and Proportions, Proportions and Similar Figures


• Use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratios.

• Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling unit costs, and related measurement units.

• Use critical attributes to define similarity.

Vocabulary: ratio, unit rate/unit cost, proportion, similar

Lesson 1: Ratios and ProportionsStudents will solve problems involving ratios and proportions.

Lesson 2: Proportions and Similar FiguresStudents will solve problems involving proportions and similar figures.

Lesson 3: Proportion ProblemsStudents will solve more problems involving proportions.


TEKS:

7.2 D, F, G

7.3 B

7.13 A

7.6 DMaterials: calculator; pencil; math log; markers,



TA TEKS: 7H, 3D, 3E



Subject: Math 2nd Quarter: Week 9 Timeframe: 5 days Level/Grade: 7th

Unit 6: Patterns

Unit Objectives:After completing this unit, the learner will

• Use words and symbols to describe the relationship between the terms in an arithmetic sequence (with a constant rate of change) and their positions in the sequence.

• Make conjectures from patterns or sets of examples and nonexamples.

Vocabulary: pattern, sequence, nth term

Lesson 1: PatternsStudents will solve problems using patterns.

Lesson 2: Patterns - 2Students will solve more problems using patterns (including negative numbers and fractions).


TEKS:

7.2 F, G

7.4 C

7.13 C, D

7.15 AMaterials: calculator; pencil; math log; markers,



TA TEKS: 7H, 3D, 3E



Subject: Math 3rd Quarter: Week 1-2 Timeframe: 10 days Level/Grade: 7th

Unit 7: Modeling Equations, Two-Step Equations


• Use concrete and pictorial models to solve equations and use symbols to record the actions.

Vocabulary: equation, variable, models

Lesson 1: Modeling EquationsStudents will solve equations using pictorial models.

Lesson 2: Modeling Equations - 2Students will solve equations using concrete models.

Lesson 3: Two-Step EquationsStudents will solve two-step equations using method taught in class.

Lesson 4: Two-Step Equations - 2Students will solve two-step equations using “x’s in Texas method”.


TEKS:

7.2 F, G

7.5 A

7.13 B, C, D

Materials: calculator; pencil; math log; markers, George Strait “All My Ex’s Live in Texas” song



TA TEKS: 7H, 3D, 3E



Subject: Math 3rd Quarter: Week 3 Timeframe: 5 days Level/Grade: 7th

Unit 8: Problem Situations and Number Equations


• Formulate problem situations when given a simple equation and formulate an equation when given a problem situation.

Vocabulary: problem situation

Lesson 1: Problem Situation and Number Equation RelayStudents will compete in a relay to complete correct matches between problem situations and equations.

Lesson 2: Problem Situations and Number EquationsStudents will solve problems involving problem situations and number equations.


TEKS:

7.2 F, G

7.5 B

7.13 B, C, D

Materials: calculator; pencil; math log; markers, problem situation and number equation relay cards



TA TEKS: 7H, 3D, 3E




Unit 9: Angles, Quadrilaterals, and Triangles


• Use angle measurements to classify pairs of angles as complementary or supplementary.• Use properties to classify triangles and quadrilaterals.

Vocabulary: supplementary, complementary, acute angle, obtuse angle, right angle, scalene, equilateral, isosceles, parallelogram, square, rectangle, trapezoid, rhombus, vertex, line

Lesson 1: Angles, Angles, EverywhereStudents will play a game that helps them to distinguish between complementary and supplementary angles.

Lesson 2: Complementary and Supplementary AnglesStudents will solve problems involving complementary and supplementary angles.

Lesson 3: Geometry Go FishStudents will play a game that helps them to classify triangles and quadrilaterals.

Lesson 4: TrianglesStudents will solve problems involving triangles.

Lesson 5: QuadrilateralsStudents will solve problems involving quadrilaterals.

Lesson 6: Are the Shapes Similar?Students will determine why a certain figure doesn’t belong using the properties they have learned to distinguish between triangles, quadrilaterals, complementary angles, and supplementary angles


TEKS:

7.2 F, G

7.6 A,B

7.13 B, C, D

7.15 BMaterials: calculator; pencil; math log; markers, angle playing cards, geometry go fish cards, protractor



TA TEKS: 7H, 3D, 3E




Unit 10: Perimeter, Circumference, Area, Volume


• Generate formulas involving unit conversions, perimeter, area, circumference, volume, and scaling.

• Graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, volume, and scaling

• Estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes.

• Connect models for volume of prisms (triangular and rectangular) and cylinders to formulas of prisms (triangular and rectangular) and cylinders.

• Estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders

• Use properties to classify three-dimensional figures, including pyramids, cones, prisms, and cylinders

Vocabulary: perimeter, circumference, area, volume, radius, diameter, base, height

Lesson 1: Perimeter and CircumferenceStudents will solve problems involving perimeter and circumference

Lesson 2: AreaStudents will solve problems involving area.

Lesson 3: Area - 2Students will solve more in depth problems involving area.

Lesson 4: VolumeStudents will solve problems involving volume.

Lesson 5: Volume - 2Students will solve more in depth problems involving volume.


TEKS:

7.2 B, F, G

7.4 A, B

7.6 C

7.9 A,B, C

7.13 B, C, DMaterials: calculator; pencil; math log; markers,



TA TEKS: 7H, 3D, 3E



Subject: Math 4th Quarter: Week 1-2 Timeframe: 10 days Level/Grade: 7th

Unit 11: Spatial Reasoning and Nets


• Sketch three-dimensional figures when given the top, side, and front views• Make a net (two-dimensional model) of the surface area of a three-dimensional figure• Use geometric concepts and properties to solve problems in fields such as art and architecture.

Vocabulary: net, spatial reasoning

Lesson 1: Spatial ReasoningStudents will solve problems involving spatial reasoning.

Lesson 2: NetsStudents will identify certain objects by looking at a two-dimensional net.

Lesson 3: Nets - 2Students will create three-dimensional shapes using certain nets.


TEKS:

7.8 A, B, C

7.2 F, G

7.13 B, C, D

Materials: calculator; pencil; math log; markers, scissors, glue



TA TEKS: 7H, 3D, 3E



Subject: Math 4th Quarter: Week 3 Timeframe: 5 days Level/Grade: 7th

Unit 12: Coordinate Planes


• Locate and name points on a coordinate plane using ordered pairs of integers.• Graph reflections across the horizontal or vertical axis and graph translations on a coordinate

plane

Vocabulary: coordinate plane, x-axis, y-axis, horizontal, vertical, translation, reflection

Lesson 1: Where’s the point?Students will play a game where they have to use ordered pairs to locate points on a graph.

Lesson 2: Graphing PointsStudents will solve problem using ordered pairs and points on a graph.

Lesson 3: Reflections and TranslationsStudents will solve problems involving reflections and translations.


TEKS:

7.2 F, G

7.7 A, B

7.13 B, C, D

Materials: calculator; pencil; math log; markers, Battleship game cards



TA TEKS: 7H, 3D, 3E




Unit 13: Probability and Reasonable Solutions


• Construct sample spaces for simple or composite experiments.• Find the probability of independent events.• Use a problem-solving model that incorporates understanding the problem, making a plan,

carrying out the plan, and evaluating the solution for reasonableness.

Vocabulary: probability, independent events

Lesson 1: ProbabilityStudents will play a game where they have to determine the probability of rolling a certain number on a dice and spinning a certain color on a spinner.

Lesson 2: Probability - 2Students will solve problems involving probability.

Lesson 3: Probability - 3Students will solve more problems involving probability.

Lesson 4: Reasonable SolutionsStudents will solve problems involving reasonable solutions.

Lesson 5: Reasonable Solutions - 2Students will solve more problems involving reasonable solutions.


TEKS:

7.10 A, B

7.2 F, G

7.13 B, C, D

Materials: calculator; pencil; math log; markers, dice, spinner



TA TEKS: 7H, 3D, 3E




Unit 14: 8th Grade Preparation


• Express numbers in scientific notation, including negative exponents, in appropriate situations.• Locate and name points on a coordinate plane using ordered pairs of rational numbers.• Communicate mathematical ideas using language, efficient tools, appropriate units, and

graphical, numerical, physical, or algebraic mathematical models

Vocabulary: scientific notation

Lesson 1: Graphing BasicsStudents will solve problems using the basics of graphing.

Lesson 2: Graphing Basics on a CalculatorStudents will solve problems using the basics of graphing on a calculator.

Lesson 3: Points on a graphStudents will solve problems using points located on a graph.

Lesson 4: Scientific Notation #1Students will solve problems in scientific notation using large number rules.

Lesson 5: Scientific Notation #2Students will solve problems in scientific notation using small number rules.

Lesson 6: Scientific Notation #3Students will solve problems in scientific notation using both small and large numbers rules.


TEKS:

8.1 D

8.15 A

8.7 D

Materials: calculator; pencil; math log; markers,



TA TEKS: 7H, 3D, 3E



Documents

Unit Objectives: DAILY ACTIVITIES Warm-Ups Grade Math 08-09.pdf · Unit Objectives: DAILY ACTIVITIES: Warm-Ups: ... Lesson 7: Convert between Fractions, Decimals, ... math log; markers,