INSTRUCTIONAL DESIGN FRAMEWORK M1C

Math – Grade 7 Pre-Algebra

6/25/10 Copyright 2006 FandL, Inc - 1 -

INSTRUCTIONAL DESIGN FRAMEWORK

M1C

Standard Solve problems involving addition and subtraction of time (hours, minutes and seconds).

The What Hours Minutes Seconds

The How (DOK) Solve

Kid Friendly Objective • I will use addition to calculate changes in time. • I will use subtraction to calculate changes in time.

Activity On-line lesson Add and subtraction of time

Activity CPS lesson Time, add and subtract

Activity Smart board Activity Measures of Time

Assessment of Kid Friendly Objectives The student will complete a problem-solving activity to solve addition and subtraction of time (hours, minutes, and seconds) using the most accurate result.

Academic Vocabulary Elapsed time

Activity Intervention activity, 8-7 Glencoe McGraw/Hill Measure of Time




AR1B

Standard Analyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation.

The What Patterns Graphically Numerically Symbolic rules Recursive notation

The How (DOK) Analyze

Kid Friendly Objective • I will explain graphs that represent patterns. • I will explain symbolic rules that represent patterns. • I will explain patterns using words.

Activity Variables and Patterns Unit, Jumping Jack experiment, Investigation 1-1

Activity Variables and Patterns Unit, Cube and Square activity, pg.23, ACE #16-71

Activity Smart board Recursive and symbolic rules,

Assessment of Kid Friendly Objectives Students will complete a problem-solving activity in which they examine graphs and tables and will write a rule and an equation (symbolic rule) for the pattern represented by the graph or table.

Academic Vocabulary Analyze Recursive notation Graphically Numerically Symbolic

Activity Moving Straight Ahead Unit, Investigation 4-1, Using Rise and Run

Activity Moving Straight Ahead Unit, Investigation1, ACE 35, #7, Pages 34-35




NO3C

Standard Apply all operations on rational numbers including integers.

The What Rational numbers Integers

The How (DOK) Apply

Kid Friendly Objective • I will add rational numbers. • I will subtract rational numbers. • I will multiply rational numbers. • I will divide rational numbers.

Activity Chapter 1 Unit, Variable, Expressions, and Integers, 2-7 Decimal operations & equations Page 106, # 36-44

Activity Chapter 1 Unit, Variable, Expressions, and Integers, 1-7 Concept Activity Page 41, 45: #24-28

Activity Chapter 1 Unit, Variable, Expressions, and Integers, Page 36-37, # 22-48 What’s the Change?

Assessment of Kid Friendly Objectives Students will complete a problem-solving activity in which they will add, subtract, multiply, and divide decimals, fractions, and integers.

Academic Vocabulary Rational numbers Integers

Activity Chapter 5 Rational Nos. & Equations, 5-6 and 5-7 sections Page 250, # 19-33, Page 256-257, # 22-42




NO2C

Standard Apply properties (including order of operations) to positive rational numbers and integers.

The What Properties

The How (DOK) Apply

Kid Friendly Objective • I will use the commutative property of addition to solve problems. • I will use the commutative property of multiplication to solve problems. • I will use the associative property of addition to solve problems. • I will use the associative property of multiplication to solve problems. • I will use the distributive property to solve problems. • I will use order of operations when solving problems.

Activity Solving Equations Ch. 2 2-3 Simplify Variables Expressions, page 81, # 23-35

Activity Solving Equations Ch. 2 2-2 Distributive Property Page 74-75, # 12-19, # 38-40, and # 45-49

Activity Solving Equations Ch. 2 2-1 Properties and Operations, page 66-67 # 16-19, 28-31, 41-43

Assessment of Kid Friendly Objectives Students will complete a problem-solving activity using the properties of commutative, associative, distributive, identity, and order of operations to solve decimal, fractional, and integer problems.

Academic Vocabulary Order of operations Commutative Associative Distributive Identity Opposites Integers Rational numbers




NO2D

Standard Approximate the value of square roots to the nearest whole number.

The What Square root Whole number

The How (DOK) Approximate

Kid Friendly Objective I will figure out which perfect square is closest to the value of the square root that is given.

Activity Chapter 9 Real Numbers and Right Triangles, 9-1 Square Roots and 9-2 Approximate Square Roots Page 455-456, # 7-10, #25-32, page 461, # 42-45

Activity On line lesson, Nearest Value to Square Rood

Activity Smart board Activity, Approximate the Square Root

Assessment of Kid Friendly Objectives The student will approximate the square root of 10 given numbers, which are not perfect squares, to the nearest whole number.

Academic Vocabulary Square root Value Whole number Approximate




AR2B

Standard Use the commutative, distributive and associative properties to generate equivalent forms for simple algebraic expressions.

The What Property

The How (DOK) Use Generate

Kid Friendly Objective • I will use the commutative property of addition and multiplication to write

equivalent expressions. • I will use the associative property of addition and multiplication to write

equivalent expressions. • I will use the distributive property to write equivalent expressions.

Activity Properties 2-3 Page 81, # 10-22, # 36

Activity Properties 2-1 Page 66-69, # 24-27, # 36-39, and # 47-58

Activity Distributive Property 2-1 Page 73, # 7-11 Page 75, # 60-61

Assessment of Kid Friendly Objectives The student will complete an activity sheet in which they use the commutative, associative, and distributive property to write an equivalent expression for ten different algebraic expressions.

Academic Vocabulary Properties Positive Integers Rational numbers Algebraic expressions

Activity 3-2, page 129, # 48-53 4-5 Exponents Page 197, # 24-27, # 46-57




NO1A

Standard Compare and order all positive rational numbers and find their approximate location on a number line.

The What Rational numbers Number line

The How (DOK) Compare Order Find

Kid Friendly Objective • I will compare rational numbers. • I will order rational numbers. • I will find and place rational numbers on the number line.

Activity Section 1-4 Compare and Order Integers Page 25, # 22-25, 51 Page 53, # 24-26 2-7 Decimal Operations Page 105, # 12-23

Activity Number Line Activity, Where Do You Belong? (From Columbia workshop)

Activity CPS Activity: Location of rational numbers on a number line

Assessment of Kid Friendly Objectives The student will complete a rational number activity in which students will find the approximate location of decimals and fractions on a number line. The student will order fractions and decimals as well as compare fractions and decimals.

Academic Vocabulary Rational numbers Approximate Location Compare Number line Positive Order

Activity Section 4-4 Page 190 #47-54 Section 5-1 order and graph on number line, page 223, # 57-60, Section 7-1 page 332, # 46-48




AR1C

Standard Compare and contrast various forms of representations of patterns.

The What Representation Pattern

The How (DOK) Compare Contrast

Kid Friendly Objective • I will find similarities between patterns. • I will find differences between patterns.

Activity Section 8-2 Page 394- 396 # 11 #42,

Activity Intervention: Patterns using Cubes

Activity Section 6-6 Page 364 & Brain game: Rolling out the Carpet

Assessment of Kid Friendly Objectives The student will complete a graphic organizer to compare and contrast the various forms of patterns: pictorially, numerically, and graphically.

Academic Vocabulary Compare Contrast Patterns

Activity Section 12-8 Pages 696-697 #29, #30, 32-37, 39, 40, 49

Activity Moving Straight Ahead, Investigation 2, ACE # 16, 17, 22-28, p.38




M2E

Standard Convert from one unit to another within a system of measurement (capacity) and convert square or cubic units within the same system of measurement.

The What Square units Cubic units

The How (DOK) Convert

Kid Friendly Objective • I will convert equivalent areas within the same measurement system. • I will convert equivalent capacity measurements within the same measurement

system. • I will convert equivalent volumes within the same measurement system.

Activity Filling and Wrapping Unit, ACE # 24-26, p. 43

Activity Supplemental Activity Converting Within a System of Measurement (chapter 10- convert answers to new unit)

Activity Filling and Wrapping Unit, Investigation 3, ACE #7-8, pp. 39-40

Assessment of Kid Friendly Objectives • Students will complete a problem-solving activity in which the student solves area problems and

volume problems and converts the solution to an equivalent area or volume within the same measurement system.

• Students will convert equivalent capacity measurements within the same measurement system. • Students will convert from one unit to another within a system of measurement (capacity) and

convert square or cubic units within the same system of measurement.

Academic Vocabulary Square units Capacity Cubic units System of measurement

Activity DESE Activity, Converting Within a System of Measurement




GS1B

Standard Describe relationships between corresponding sides, corresponding angles and corresponding perimeters of similar polygons.

The What Relationships Similar polygons Corresponding sides Corresponding angles

The How (DOK) Describe

Kid Friendly Objective • I will explain the relationship between the corresponding sides of similar polygons. • I will explain the relationship between the corresponding angles of similar polygons. • I will explain the relationship between the corresponding perimeters of similar

polygons.

Activity 6-5 Similarity and Measurement Page 295-296, # 5-9, # 10-12, # 14 and # 15

Activity 6-4, Similar and Congruent Polygons Page 292, # 21-22

Activity Chapter 6, 6-4 Similar and Congruent Polygons Page 290-291, # 3-6, 7-12

Assessment of Kid Friendly Objectives Students will complete a quiz in which they examine five sets of similar polygons. The student will name the corresponding parts and explain the relationship between corresponding angles, corresponding sides, and corresponding perimeters of each set of similar figures.

Academic Vocabulary Relationships Corresponding sides Perimeter Corresponding angles similar polygons




GS1A

Standard Identify the 2-dimensional cross-section of a 3-dimensional shape.

The What Cross-section 2-dimensional 3-dimensional

The How (DOK) Identify

Kid Friendly Objective I will identify the shape made from a cross-section of a 3-dimensional figure.

Activity On-line lesson Cross-sections

Activity Cross-section Model activity

Activity CPS lesson Cross-sections

Assessment of Kid Friendly Objectives Students will examine 3-dimensional figures (pictures and models) and will identify the shape of given cross-sections.

Academic Vocabulary Cross-section 2-dimensional shape 3-dimensional shape




NO1C

Standard Recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notation.

The What Representations Exponential notation

The How (DOK) Recognize Generate Decomposing Composing

Kid Friendly Objective • I will write numbers using powers of ten to express place value. • I will write numbers from expanded form. • I will write scientific notation.

Activity Supplemental Activity Exponential and Scientific Notation

Activity On-line activity Scientific notation

Activity Smart board Activity Exponential and Scientific Notation

Assessment of Kid Friendly Objectives The students will complete an activity in which they recognize and generate an equivalent representation for a given number. They will compose and decompose expanded, exponential, and scientific notation and write the standard form for each notation.

Academic Vocabulary Equivalent representations Decomposing Scientific Notation Composing Exponential notation

Activity DESE Activity equivalent representations Composing and Decomposing




NO2B

Standard Describe the effects of all operations on rational numbers including integers.

The What Rational numbers Integers

The How (DOK) Describe

Kid Friendly Objective • I will understand the effects of adding rational numbers and integers. • I will understand the effects of subtracting rational numbers and integers. • I will understand the effects of multiplying rational numbers and integers. • I will understand the effects of dividing rational numbers and integers. • I will explain and describe the effects of adding rational numbers and integers. • I will explain and describe the effects of subtracting rational numbers and integers. • I will explain and describe the effects of multiplying rational numbers and integers. • I will explain and describe the effects of dividing rational numbers and integers.

Activity Smart Board lesson on Accentuate the Negative Unit, Investigation 2, Extension # 37, pg. 39

Activity CPS lesson on Accentuate the Negative Unit, Investigation 2, ACE # 5-7, pg. 51

Activity DESE Activity Effect on Rational Numbers

Assessment of Kid Friendly Objectives Students will complete a problem-solving activity where students will explain and describe the effects of adding, subtracting, multiplying or dividing a decimal, fraction, or integer by the same type of number.

Academic Vocabulary Operations Rational numbers Integers




M1B

Standard Identify the equivalent area and volume measures within a system of measurement (e.g., sq ft. to sq in., cubic meters to cubic centimeters).

The What Square units Cubic units Equivalency


Kid Friendly Objective • I will recognize equivalent units of measure for area. • I will recognize equivalent units of measure for volume.

Activity Supplemental activity on equivalent area and volume

Activity DESE activity 2 on equivalent area

Activity Filling and Wrapping Unit, Investigation 5, ACE #29, page 72

Assessment of Kid Friendly Objectives • Students will complete a problem-solving activity in which they identify the equivalent unit

of measure for area. The solution of square feet is converted to the equivalent measure in square inches and the student will identify the equivalent unit of measure of volume where the solution is converted from cubic meters to cubic centimeters.

• Students will be able to identify the reverse conversion in area and volume.

Academic Vocabulary Area Equivalent Volume System of measurement

Activity DESE activity 2 on equivalent volume




NO1B

Standard Recognize and generate equivalent forms of fractions, decimals and percents.

The What Fractions Decimals Percents

The How (DOK) Recognize Generate

Kid Friendly Objective I will create equivalent fractions, decimals and percents.

Activity CPS lesson on Comparing and Scaling Unit, Investigation 2, 2-2, Sharing Pizza

Activity 7-1 Percents and Fractions, Page 332, # 27-57

Activity Fraction, Decimal, Percent Activity

Assessment of Kid Friendly Objectives Students will complete a table of fractions, decimals, and percents where they generate missing fractions, decimals or percents.

Academic Vocabulary Recognize Decimals Generate Percents Fractions Equivalent

Activity 7-3 Percent and Decimals Pages 342-343 # 26-47




NO3D

Standard Estimate and justify the results of all operations on rational numbers.

The What Rational numbers Operations

The How (DOK) Estimate Justify

Kid Friendly Objective • I will estimate my answers before I add, subtract, multiply or divide rational

numbers. • I will understand and explain why my answers are correct.

Activity DESE activity on estimate and justify results of operations on rational numbers

Activity Smart board lesson on Accentuate the Negative Unit, Investigation 3 ACE #6, page 51, Predict

Activity CP lesson on Accentuate the Negative Unit, Investigation 3 ACE #12-17, page 52

Assessment of Kid Friendly Objectives Teacher will observe as students make an estimate before students add, subtract, multiply, or divide rational numbers. Students will compare and justify their estimate with the correct solution.

Academic Vocabulary Operations Rational numbers Estimate Justify




AR1D

Standard Identify functions as linear or nonlinear from tables, graphs or equations.

The What Linear functions Nonlinear functions


Kid Friendly Objective • I will identify linear functions from graphs. • I will identify linear functions from tables. • I will identify linear functions from equations. • I will identify nonlinear functions from graphs. • I will identify nonlinear functions from tables. • I will identify nonlinear functions from equations.

Activity 8-2 Linear Equations with Two Variables, page 395 # 32-40

Activity Linear and Nonlinear Intervention worksheet 1 and 2 Glencoe, McGraw Hill

Activity 8-1 Relations and Functions Pages 388-389 #8-24

Assessment of Kid Friendly Objectives Students will complete a graphic representation worksheet and the student will examine tables, graphs, and equations and identify whether they represent linear or nonlinear functions.

Academic Vocabulary Functions Tables Linear functions Graphs Nonlinear functions Equations Identify




GS2A

Standard Use coordinate geometry to construct and identify geometric shapes in the coordinate plant using their properties.

The What Geometric shapes

The How (DOK) Use Construct Identify

Kid Friendly Objective • I will use coordinate geometry to construct geometric shapes in the coordinate

plane using their properties. • I will use coordinate geometry to identify geometric shapes in the coordinate

plane using their properties.

Activity Stretching and Shrinking Unit: Investigation 2 Gus the Ghost Brochure

Activity The quadrilateral family activity

Activity Smart board activity Graphing Polygons and describing attributes of polygons

Assessment of Kid Friendly Objectives The student will complete an activity in which the student will construct five geometric shapes using a given set of ordered pairs for each geometric shape. The student will identify the geometric shape using the properties of the different geometric shapes.

Academic Vocabulary Coordinate geometry Geometric shapes Construct Coordinate plane Identify Properties

Activity Section 10-2 Page 519 # 5-17




GS4A

Standard Use spatial visualizations to identify various 2-dimensional views of isometric drawings.

The What Spatial visualizations Isometric drawings

The How (DOK) Use Identify

Kid Friendly Objective I will use spatial visualizations to identify 2-dimensional views of isometric drawings.

Activity Smart board activity on Filling and Wrapping Unit, Investigation 2, ACE # 8-10, 11

Activity 10-7 Building and Sketching Solids Page 550, # 1 a, b, # 2 a, b

Activity Building block s and isometric drawing activity “Mystery Buildings”

Assessment of Kid Friendly Objectives Teacher will give students five different isometric drawings and students will use spatial visualization to set up blocks in the correct order. Students will set up two situations with the blocks and draw the right and top view using an isometric drawing.

Academic Vocabulary Spatial visualizations 2-dimensional view Isometric




GS3C

Standard Determine all lines of symmetry of a polygon.

The What Symmetry Polygon Lines of symmetry

The How (DOK) Determine

Kid Friendly Objective I will determine all lines of symmetry of a polygon.

Activity Activity 17 Coordinates and Symmetry Activity 13C Quadrilaterals and Symmetry

Activity 13-5 Reflections and Symmetry Page 735-737 # 2-4, # 14-17, # 34

Activity Activity 17 Cutting and Folding Shapes/One Fold NCTM in Middle School Polygons & Symmetry

Assessment of Kid Friendly Objectives Students will complete a worksheet of various types of polygons and will determine the lines of symmetry of each polygon and the student will draw the lines of symmetry on the given polygon.

Academic Vocabulary Lines of symmetry Polygon Symmetry




M2B

Standard Use tools to measure angles to the nearest degree and classify the angle as acute, obtuse, right, straight or reflex.

The What Angles Tools

The How (DOK) Measure Classify Use

Kid Friendly Objective • I will measure angles with a protractor. • I will classify angles as acute, obtuse, right, straight and reflex.

Activity Stretching and Shrinking Unit, Investigations 1, Scaling Up and Down, 1-3, pp. 10-11

Activity Supplemental activity Measuring and Classifying Angles

Activity Circle graph activity Measuring angles

Assessment of Kid Friendly Objectives Students will complete an activity in which they measure angles with a protractor. The student will use the protractor to draw angles when given the number of degrees. Students will then classify the angle as acute, obtuse, reflex, or right.

Academic Vocabulary Acute angle Straight angle Obtuse angle Reflex angle Right angle

Activity Smart board activity Classify Angles and Triangles

Activity Stretching and Shrinking Unit, 1-2 Rubber Band Activity




DP2A

Standard Find, use and interpret measures of center and spread, including ranges.

The What Measures of center Measures of spread

The How (DOK) Find Use Interpret

Kid Friendly Objective 1. I will find measures of center and spread. 2. I will use measures of center and spread. 3. I will interpret measures of center and spread.

Activity Finding Mean, Mode, Median and Range Page 39-40 # 1-5

Activity 11-1 Stem-and-Leaf Plots and Histograms Page 585, # 6-11, Measures of Center

Activity 11-2 Box and Whisker Plots Page 591, # 6-11

Assessment of Kid Friendly Objectives Students will find the mean, mode, median, and range of five sets of data. The student will compare the different measures of center. The students will interpret which measure of center is the most appropriate given the situation concerning the data.

Academic Vocabulary Mean Range Median Measures of center Mode Measures of spread




AR3A

Standard Model and solve problems, using multiple representations such as graphs, tables, expressions, and linear equations.

The What Graphs Tables Expressions Linear equations

The How (DOK) Model Solve

Kid Friendly Objective I will create graphs, tables, expressions and/or linear equations to solve a problem.

Activity Smart board lesson on Variables and Patterns Unit, Investigation 3, 3-2

Activity 8-2 Graphing Linear Equations Page 397

Activity CPS lesson on Variable and Patterns Unit, Investigation3, 3-1

Assessment of Kid Friendly Objectives Students will complete a problem-solving worksheet in which students will create graphs, tables, write and simplify expressions and/or linear equations.

Academic Vocabulary Model Tables Representations Solve Expressions Graphs Linear equations

Activity Smart board lesson on Moving Straight

Ahead Unit, ACE # 5, p. 34




DP4A

Standard Use models to compute the probability of an event and make conjectures (based on theoretical probability) about the results of experiments.

The What Models Theoretical probability

The How (DOK) Use Compute

Kid Friendly Objective I will compare the results of experimental and theoretical probability.

Activity Smart board activity: Theoretical and Experimental Probability using Tables

Activity Spinner activity (Theoretical and experimental probability)

Activity What Do You Expect Unit, Investigation 1 1-1 Matching colors

Assessment of Kid Friendly Objectives Students will complete a problem-solving activity involving an experiment to model experimental and theoretical probability. The student will compare the results of both types of probability.

Academic Vocabulary Probability Compute Model Conjectures Event

Activity Dice activity (Experimental and theoretical probability)




M1A

Standard Identify and justify the unit of measure for volume (customary and metric).

The What Customary Metric

The How (DOK) Identify Justify

Kid Friendly Objective • I will identify the customary unit of measure for volume. • I will identify the metric unit of measure for volume.

Activity 10-5 Surface Area Pages 541-542, # 6-14 Identify unit of measurement, (convert to different unit)

Activity DESE activity Identify and Justify Unit of Measures

Activity 10-7 Volumes of Prisms and Cylinders Page 554, # 7-18 (Convert answers to different unit)

Assessment of Kid Friendly Objectives Students will complete a problem-solving activity in which they identify the customary unit of measure or the metric unit of measure for volume.

Academic Vocabulary Unit of measure Cubic metric units Volume Cubic customary units Customary Metric




DP3A

Standard Use observations about differences between samples to make conjectures about the populations from which the samples were taken.

The What Observations Conjectures Samples

The How (DOK) Use Make Observe

Kid Friendly Objective I will use samples to describe different populations.

Activity 11-5 Data and Analysis Interpreting Data Page 613, # 9-14

Activity 11-5 Interpreting Data Page 612, # 3-7

Activity 11-5 Investigate Random Samples Page 609, # 1,2

Assessment of Kid Friendly Objectives The student will complete a problem-solving sheet use observations between five different sets of samples to make a conjecture about the different populations for each set of samples.

Academic Vocabulary Conjecture Sample Population Conjecture Observation Difference




AR2A

Standard Use symbolic algebra to represent unknown quantities in expressions or equations and solve linear equations with one variable.

The What Equations Expressions

The How (DOK) Use Represent Solve

Kid Friendly Objective • I will represent unknown quantities using expressions. • I will represent unknown quantities using equations. • I will solve linear equations with one variable.

Activity 2-7 Decimal equations Pages 105-106 #27-38, #42-44

Activity 2-6 Multiply and Divide Equations Pages 99-101 # 8-33, # 39

Activity 2-5 Add/Subtract Equations Pages 93-94 # 20-31, # 38-40

Assessment of Kid Friendly Objectives • The student will complete a problem solving worksheet in which students will represent

unknown quantities using expressions and equations. • The student will construct a Venn diagram comparing and contrasting equations and

expressions. • The student will solve linear equations with one variable.

Academic Vocabulary Symbolic algebra Variable Linear equations Expressions Equation Quantity

Activity 3-1 Two-step equations Pages 123-124 # 23-35




GS4B

Standard Draw or use visual models to represent and solve problems.

The What Visual models

The How (DOK) Draw Use Represent Solve

Kid Friendly Objective • I will solve problems by drawing a visual model. • I will use visual models to solve problems.

Activity 10-7 Concept Activity Building and Sketching Solids Page 550-551

Activity 10-6 Visual Thinking Page 549 # 30

Activity 10-5 Nets and Surface Area Page 541-542 # 6-12, 15, page 547, # 7-12

Assessment of Kid Friendly Objectives • Students will use given models, pictures, or diagrams to solve problems • Students will draw appropriate models, diagrams, or pictures to represent the process

involved in solving a problem.

Academic Vocabulary Visual model Represent Solve

Activity Smart board activity using Filling and Wrapping Unit Investigation 4




DP1C

Standard Select, create and use appropriate graphical representation of data, including circle graphs, histograms.

The What Graphical representation Circle graph Histograms

The How (DOK) Select Create Use

Kid Friendly Objective • I will select the appropriate graph for given data. • I will create the appropriate graph for given data. • I will use the appropriate graph for given data.

Activity 11-1 Histograms and Stem-and-leaf plots, page 587, # 6-18

Activity 11-3 Data Displays Pages 599-600 #14-17, Brain Game: Double Data

Activity Data Distribution Unit Investigation 1, 1-2, Making Circle Graph of Data

Assessment of Kid Friendly Objectives The student will complete an activity in which the student selects, creates and uses the appropriate graphical representation to solve problems.

Academic Vocabulary Graphical representation Data Circle graph Histogram

Activity 11-2 Box and Whisker Plots, page 591, # 9-11

Activity Data Distribution Unit Investigation 1 ACE # 14 (Make a Circle Graph) pg.21




M2C

Standard Solve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism, or cylinder.

The What Circumference Area Surface area Volume Rectangular prism Triangular prism Cylinder

The How (DOK) Solve

Kid Friendly Objective • I will calculate the circumference and area of a circle. • I will calculate the volume of a rectangular prism, triangular prism and cylinder. • I will calculate the surface area of a rectangular prism, triangular prism and

cylinder.

Activity 10-5 SA of Prism and Cylinders Page 542 #13-16

Activity 10-4 Circumference and Area of Circle Pages 531-532 # 5-6, # 11-14

Activity 10-4 Investigate activity on circles Page 527, # 1-5

Assessment of Kid Friendly Objectives The student will complete a problem-solving worksheet and will calculate the circumference and area of a circle. The student will calculate the surface area and volume of rectangular prisms, triangular prisms and cylinders.

Academic Vocabulary Circumference Volume Surface area Cylinder Rectangular prism Triangular prism

Activity 10-5 SA of Prisms and Cylinders Page 541-542 #5-11, #18

Activity 10-7 Volume of Prism and Cylinders Page 554-555 #6-12, #14-18




NO3E

Standard Solve problems involving proportions, such as scaling and finding equivalent ratios.

The What Proportions Ratios

The How (DOK) Scaling Finding

Kid Friendly Objective • I will use proportions to solve scale factor problems. • I will use proportions to find equivalent ratios.

Activity 6-6 Scale Drawing Page 302-303 #11-34, # 39, #42

Activity 6-6 Making a Scale Drawing Page 299 # 1,2

Activity Section 6-3 Page 282-284 # 30-35, # 51-53 Section 6-2 Pages 278-279, # 26-27, # 30-33

Assessment of Kid Friendly Objectives Students will complete a worksheet in which students will use proportions to solve problems that involve scaling and equivalent ratios.

Academic Vocabulary Proportions Ratios Scaling Equivalent

Activity 6-5 Similarity and measurement Page 297, # 15, # 16




GS3B

Standard Describe the relationship between the scale factor and the perimeter of the image using a dilation (contractions-magnifications; stretching/shrinking).

The What Dilation Contraction Magnification Stretching Shrinking

The How (DOK) Describe Using

Kid Friendly Objective • I will describe the relationship between the scale factor and the perimeter of the

image using a contraction (shrink). • I will describe the relationship between the scale factor and the perimeter of the

image using a magnification (stretch).

Activity 13-7 Dilations Page 750 #5-11 (use perimeter extension with assignment)

Activity Supplemental activity, Perimeter and Scale Factor

Activity 13-7 Dilations Pages 750-751 #12-13, #15-18, # 27

Assessment of Kid Friendly Objectives Students will complete a worksheet with given geometric figures. The student will stretch and shrink the original figure and draw an image. The student will find the scale factor and will describe the relationship between the scale factor and the perimeter of the image or a specific part of the image using stretching and shrinking.

Academic Vocabulary Relationship Dilation Stretching Scale factor Contractions Shrinking Perimeter Magnification



INSTRUCTIONAL DESIGN FRAMEWORK AR4A

Standard Compare situations with constant or varying rates of change

The What Rates of change

The How (DOK) Compare

Kid Friendly Objective I will compare situations that have constant or varying rates of change.

Activity • Moving Straight Ahead

Unit • Investigation 4, ACE • Problems, # 1-3, 20-22,

30

Activity • Moving Straight Ahead

Unit • Investigation 1, ACE • Problems, #3, 4, 6, 10, 15

Activity • Moving Straight Ahead Unit • Investigation 1 and 4 • Reflections

Assessment of Kid Friendly Objectives The student will complete an activity in which students analyze and compare different situations using graphs, tables, and charts. Students will identify linear relationships using graphs, tables and charts

Academic Vocabulary Compare Rates of change Constant

Documents

INSTRUCTIONAL DESIGN FRAMEWORK M1C