MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend...

10
7.NS.A 7.RP.A 7.EE.A 7.EE.B 7.SP.A 7.SP.B 7.SP.C 7.G.A 7.G.B L E SS ONS T OPIC S C LUS TE RS 1 3 2 4 5 6 7 8 COMMON CORE DOMAINS 7.RP RATIOS AND PROPORTIONAL RELATIONSHIPS 7.NS THE NUMBER SYSTEM 7.EE EXPRESSIONS AND EQUATIONS 7.G GEOMETRY 7.SP STATISTICS AND PROBABILITY GRADE 7 CONTENTS MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL CONTENT Grade 7 6

Transcript of MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend...

Page 1: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS1

3

2

45

6

7

8

COMMON CORE DOMAINS7.RP RATIOS AND PROPORTIONAL RELATIONSHIPS

7.NS THE NUMBER SYSTEM

7.EE EXPRESSIONS AND EQUATIONS

7.G GEOMETRY

7.SP STATISTICS AND PROBABILITY

GRADE 7 CONTENTS

MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL CONTENT

Grade 76

Page 2: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

FOCUS ON

MAJOR CONTENT7.NS.A Apply and extend previous understandings ofoperations with fractions.

MAJOR CONTENT7.RP.A Analyze proportional relationships and use them tosolve real-world and mathematical problems.

MAJOR CONTENT7.EE.A Use properties of operations to generate equivalentexpressions.

MAJOR CONTENT7.EE.B Solve real-world and mathematical problems usingnumerical and algebraic expressions and equations.

SUPPORTING CONTENT7.SP.A Use random sampling to draw inferences about apopulation.

SUPPORTING CONTENT7.SP.B Draw informal comparative inferences about twopopulations.

SUPPORTING CONTENT7.SP.C Investigate change processes and develop, use, andevaluate probability models.

ADDITIONAL CONTENT7.G.A Draw, construct, and describe geometrical figures anddescribe the relationships between them.

ADDITIONAL CONTENT7.G.B Solve real-world and mathematical problems involvingangle measures, area, surface area, and volume.

TOPICS

1 Integers and Rational Numbers

2 Analyze and Use Proportional Relationships 3 Analyze and Solve Percent Problems

4 Generate Equivalent Expressions

5 Solve Problems Using Equations and Inequalities

6 Use Sampling to Draw Inferences about Populations

7 Probability

8 Solve Problems Involving Geometry

FOCUS COHERENCE RIGOR

Content is developed with focus, coherence, and rigor. The attention to rigor reflects the balances of conceptual understanding, procedural skill and fluency, and applications in the Common Core Standards. See each Topic Overview.

7Grade 7

Page 3: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

GRADE 7 CONTENTS (continued)

TOPIC 1 FOCUSES ON

MAJOR CONTENT7.NS.A Apply and extend previous understandingsof operations with fractions.

TOPIC 1 OVERVIEW Math Background: Focus ................................................2AMath Background: Coherence ...................................... 2CMath Background: Rigor .................................................2DMath Practices .....................................................................2ETopic Readiness Assessment ..........................................2FPlanner ..................................................................................2G

1–1

1–2

1–3

1–4

1–5

1–6

1–7

1–8

1–9

1–10

TOPIC 1Integers and Rational NumbersTopic Overview ................................................................................... 2ATopic Opener .....................................................................................2–3STEM Project ..........................................................................................4Review What You Know ..........................................................................5Math Literacy Activity .............................................................................6

Understand Integers and Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . .7ACC.2.1.7.E.1, MP.1, MP.2, MP.3, MP.4, MP.6

Understand Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13A CC.2.1.7.E.1, MP.1, MP.2, MP.3, MP.4, MP.8

Add Integers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19ACC.2.1.7.E.1, MP.1, MP.2, MP.3, MP.5, MP.7

Subtract Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25A CC.2.1.7.E.1, MP.3, MP.7

Add and Subtract Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31ACC.2.1.7.E.1, MP.1, MP.3, MP.4, MP.5, MP.6

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . . .37

Multiply Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39A CC.2.1.7.E.1, MP.2, MP.4, MP.5, MP.8

Multiply Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45A CC.2.1.7.E.1, MP.1, MP.2, MP.4, MP.7

Divide Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51ACC.2.1.7.E.1, MP.1, MP.2, MP.3, MP.4

Divide Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57ACC.2.1.7.E.1, MP.2, MP.5, MP.7

Solve Problems with Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . 63A CC.2.1.7.E.1, MP.1, MP.2, MP.3, MP.4

3-Act Mathematical Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69ACC.2.1.7.E.1, MP.2, MP.3, MP.4

Topic Review .......................................................................................73Fluency Practice Activity ........................................................................79Topic Assessment............................................................................... 79ATopic Performance Assessment ............................................................ 79C

Grade 78

Page 4: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

2–1

2–2

2–3

2–4

2–5

2–6

TOPIC 2 FOCUSES ON

MAJOR CONTENT 7.RP.A Analyze proportional relationships anduse them to solve real-world and mathematicalproblems.

TOPIC 2 OVERVIEW Math Background: Focus ..............................................80AMath Background: Coherence ....................................80CMath Background: Rigor .............................................. 80DMath Practices .................................................................. 80ETopic Readiness Assessment ....................................... 80FPlanner ............................................................................... 80G

TOPIC 2Analyze and Use Proportional Relationships Topic Overview ................................................................................ 80ATopic Opener .................................................................................80–81STEM Project ........................................................................................82Review What You Know ........................................................................83Math Literacy Activity ...........................................................................84

Connect Ratios, Rates, and Unit Rates . . . . . . . . . . . . . . . . . . . . . . . . . . . 85ACC.2.1.7.D.1, MP.1, MP.2, MP.3, MP.7

Determine Unit Rates with Ratios of Fractions . . . . . . . . . . . . . . . . . . 91ACC.2.1.7.D.1, MP.1, MP.2, MP.3, MP.7

Understand Proportional Relationships: Equivalent Ratios . . . . . 97ACC.2.1.7.D.1, MP.1, MP.2, MP.3, MP.4, MP.5, MP.6

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . . .109

Describe Proportional Relationships: Constant of Proportionality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103ACC.2.1.7.D.1, MP.2, MP.3, MP.4, MP.7, MP.8

3-Act Mathematical Modeling: Mixing It Up . . . . . . . . . . . . . . . . . . . . 111A CC.2.1.7.D.1

Graph Proportional Relationships. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115ACC.2.1.7.D.1, MP.3, MP.4, MP.5, MP.6, MP.7

Apply Proportional Reasoning to Solve Problems. . . . . . . . . . . . . . 121A CC.2.1.7.D.1, MP.1, MP.2, MP.3, MP.5

Topic Review ......................................................................................127Fluency Practice Activity ......................................................................131Topic Assessment............................................................................. 131ATopic Performance Assessment .......................................................... 131CCumulative/Benchmark Assessment, Topics 1–2 ...................................131E

9Grade 7

Page 5: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

GRADE 7 CONTENTS (continued)

TOPIC 3 FOCUSES ON

MAJOR CONTENT7.RP.A Analyze proportional relationships anduse them to solve real-world and mathematicalproblems.

TOPIC 3 OVERVIEW Math Background: Focus ...........................................132AMath Background: Coherence ................................. 132CMath Background: Rigor ............................................132DMath Practices ................................................................132ETopic Readiness Assessment .....................................132FPlanner .............................................................................132G

3–1

3–2

3–3

3–4

3–5

3–6

TOPIC 3Analyze and Solve Percent ProblemsTopic Overview ............................................................................... 132ATopic Opener .............................................................................132–133STEM Project ......................................................................................134Review What You Know ......................................................................135Math Literacy Activity .........................................................................136

Analyze Percents of Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137ACC.2.1.7.D.1, MP.2, MP.3, MP.4, MP.6, MP.7

Connect Percent and Proportion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143ACC.2.1.7.D.1, MP.3, MP.5, MP.7, MP.8

Represent and Use the Percent Equation . . . . . . . . . . . . . . . . . . . . . . . 149ACC.2.1.7.D.1, MP.1, MP.2, MP.3, MP.7

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . .155

Solve Percent Change and Percent Error Problems . . . . . . . . . . . . . 157ACC.2.1.7.D.1, MP.1, MP.4, MP.5, MP.7

3-Act Mathematical Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163ACC.2.1.7.D.1

Solve Markup and Markdown Problems. . . . . . . . . . . . . . . . . . . . . . . . 167ACC.2.1.7.D.1, MP.1, MP.4, MP.7, MP.8

Solve Simple Interest Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173A CC.2.1.7.D.1, MP.1, MP.2, MP.3, MP.4

Topic Review ......................................................................................179Fluency Practice Activity ......................................................................183Topic Assessment............................................................................. 183ATopic Performance Assessment .......................................................... 183C

Grade 710

Page 6: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

TOPIC 4 FOCUSES ON

MAJOR CONTENT7.EE.A Use properties of operations to generateequivalent expressions.

TOPIC 4 OVERVIEW Math Background: Focus ...........................................184AMath Background: Coherence ................................. 184CMath Background: Rigor ............................................184DMath Practices ................................................................184ETopic Readiness Assessment .....................................184FPlanner .............................................................................184G

4–1

4–2

4–3

4–4

4–5

4–6

4–8

4–7

TOPIC 4Generate Equivalent ExpressionsTopic Overview ............................................................................... 184ATopic Opener .............................................................................184–185STEM Project ......................................................................................186Review What You Know ......................................................................187Math Literacy Activity .........................................................................188

Write and Evaluate Algebraic Expressions. . . . . . . . . . . . . . . . . . . . . . 189ACC.2.2.7.B.3, MP.1, MP.2, MP.4, MP.5, MP.7, MP.8

Generate Equivalent Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195ACC.2.2.7.B.1, MP.1, MP.2, MP.3, MP.4, MP.6, MP.7

Simplify Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201ACC.2.2.7.B.1, MP.1, MP.2, MP.4

Expand Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207ACC.2.2.7.B.1, MP.2, MP.3, MP.4, MP.7

Factor Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213ACC.2.2.7.B.1, MP.1, MP.2, MP.3, MP.4

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . . . 219

3-Act Mathematical Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .221ACC.2.2.7.B.1

Add Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225ACC.2.2.7.B.1, MP.1, MP.2, MP.3, MP.4, MP.7, MP.8

Subtract Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231A CC.2.2.7.B.1, MP.2, MP.3, MP.6, MP.7

Analyze Equivalent Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237ACC.2.2.7.B.1, MP.1, MP.2, MP.3, MP.6, MP.8

Topic Review ......................................................................................243Fluency Practice Activity ......................................................................247Topic Assessment............................................................................. 247ATopic Performance Assessment .......................................................... 247CCumulative/Benchmark Assessment Topics 1–4 ....................................247E

11Grade 7

Page 7: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

GRADE 7 CONTENTS (continued)

5–1

5–2

5–3

5–4

5–5

5–6

5–7

TOPIC 5 FOCUSES ON

MAJOR CONTENT7.EE.B Solve real-life and mathematical problemsusing numerical and algebraic expressions andequations.

TOPIC 5 OVERVIEW Math Background: Focus ...........................................248AMath Background: Coherence ................................. 248CMath Background: Rigor ............................................248DMath Practices ................................................................248ETopic Readiness Assessment .....................................248FPlanner .............................................................................248G

TOPIC 5Solve Problems Using Equations and InequalitiesTopic Overview ............................................................................... 248ATopic Opener .............................................................................248–249STEM Project ......................................................................................250Review What You Know ......................................................................251Math Literacy Activity .........................................................................252

Write Two-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253ACC.2.2.7.B.3, MP.1, MP.3, MP.7, MP.8

Solve Two-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259ACC.2.2.7.B.3, MP.1, MP.2, MP.3, MP.4

Solve Equations Using the Distributive Property. . . . . . . . . . . . . . . 265ACC.2.2.7.B.3, MP.2, MP.3, MP.4, MP.6

Solve Inequalities Using Addition or Subtraction . . . . . . . . . . . . . . 273ACC.2.2.7.B.3, MP.1, MP.3, MP.7

Solve Inequalities Using Multiplication or Division . . . . . . . . . . . . 279ACC.2.2.7.B.3, MP.2, MP.3, MP.4, MP.5, MP.8

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . . 271

3-Act Mathematical Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285ACC.2.2.7.B.3

Solve Two-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289ACC.2.2.7.B.3, MP.5, MP.6

Solve Multi-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 295ACC.2.2.7.B.3, MP.2, MP.3

Topic Review ......................................................................................301Fluency Practice Activity ......................................................................305Topic Assessment............................................................................. 305ATopic Performance Assessment .......................................................... 305C

Grade 712

Page 8: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

TOPIC 6 FOCUSES ON

SUPPORTING CONTENT7.SP.A Use random sampling to draw inferencesabout a population.

SUPPORTING CONTENT7.SP.B Draw informal comparative inferences abouttwo populations.

Supporting Content in 7.SP.A and 7.SP.B support Major Content in 7.RP.A and 7.EE.B.

TOPIC 6 OVERVIEW Math Background: Focus ...........................................306AMath Background: Coherence ................................. 306CMath Background: Rigor ............................................306DMath Practices ................................................................306ETopic Readiness Assessment .....................................306FPlanner .............................................................................306G

6–1

6–2

6–3

6–4

TOPIC 6 Use Sampling to Draw Inferences About PopulationsTopic Overview ............................................................................... 306ATopic Opener .............................................................................306–307STEM Project ......................................................................................308Review What You Know ......................................................................309Math Literacy Activity .........................................................................310

Populations and Samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311ACC.2.4.7.B.1 MP.2, MP.6, MP.7, MP.8

Draw Inferences from Data. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319ACC.2.4.7.B.1, MP.1, MP.2, MP.3, MP.4, MP.6

Make Comparative Inferences About Populations . . . . . . . . . . . . . . 329ACC.2.4.7.B.1, MP.1, MP.2, MP.3, MP.4, MP.5, MP.6

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . . 327

Make More Comparative Inferences About Populations . . . . . . . 335ACC.2.4.7.B.2, MP.1, MP.3, MP.6, MP.8

3-Act Mathematical Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341A

Topic Review ......................................................................................341Fluency Practice Activity ......................................................................349Topic Assessment............................................................................. 349ATopic Performance Assessment .......................................................... 349CCumulative/Benchmark Assessment, Topics 1–6 ...................................349E

13Grade 7

Page 9: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

GRADE 7 CONTENTS (continued)

TOPIC 7 FOCUSES ON

SUPPORTING CONTENT7.SP.C Investigate chance processes and develop,use, and evaluate probability models.

Supporting Content in 7.SP.C supports Major Content in 7.EE.B.

TOPIC 7 OVERVIEW Math Background: Focus ...........................................350AMath Background: Coherence ................................. 350CMath Background: Rigor ............................................350DMath Practices ................................................................350ETopic Readiness Assessment .....................................350FPlanner .............................................................................350G

7–1

7–2

7–3

7–4

7–5

7–6

7–7

TOPIC 7 ProbabilityTopic Overview ............................................................................... 350ATopic Opener .............................................................................350–351STEM Project ......................................................................................352Review What You Know ......................................................................353Math Literacy Activity .........................................................................354

Understand Likelihood and Probability . . . . . . . . . . . . . . . . . . . . . . . . 355ACC.2.4.7.B.3, MP.2, MP.6, MP.7, MP.8

CC.2.4.7.B.3, MP.1, MP.2, MP.3, MP.4, MP.6

Understand Experimental Probability . . . . . . . . . . . . . . . . . . . . . . . . . 367ACC.2.4.7.B.3, MP.1, MP.2, MP.3, MP.4, MP.5, MP.6

Use Probability Models. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373ACC.2.4.7.B.3, MP.1, MP.3, MP.6, MP.8

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . . 379

3-Act Mathematical Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381ACC.2.4.7.B.3

Determine Outcomes of Compound Events . . . . . . . . . . . . . . . . . . . . 385ACC.2.4.7.B.3, MP.1, MP.2, MP.4, MP.7

Find Probabilities of Compound Events . . . . . . . . . . . . . . . . . . . . . . . . 391ACC.2.4.7.B.3, MP.2, MP.3

Simulate Compound Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 397ACC.2.4.7.B.3, MP.1, MP.5

Topic Review ......................................................................................403Fluency Practice Activity ......................................................................409Topic Assessment............................................................................. 409ATopic Performance Assessment .......................................................... 409C

Grade 714

Understand Theoretical Probability . . . . . . . . . . . . . . . . . . . . . . . . . . 361A

Page 10: MAJOR CONTENT SUPPORTING CONTENT ADDITIONAL …...FOCUS ON MAJOR CONTENT 7.NS.A Apply and extend previous understandings of operations with fractions. MAJOR CONTENT 7.RP.A Analyze

7.NS.A

7.RP.A

7.EE.A7.EE.B

7.SP.A7.SP.B

7.SP.C

7.G.A7.G.B

LESSONS

TOPICS

CLUSTERS 1

3

2

45

6

7

8

TOPIC 8 FOCUSES ON

ADDITIONAL CONTENT7.G.A Draw construct, and describe geometricalfigures and describe the relationships betweenthem.

ADDITIONAL CONTENT7.G.B Solve real-life and mathematical problemsinvolving angle measure, area, surface area, andvolume.

TOPIC 8 OVERVIEW Math Background: Focus ...........................................410AMath Background: Coherence ................................. 410CMath Background: Rigor ............................................410DMath Practices ................................................................410ETopic Readiness Assessment .....................................410FPlanner .............................................................................410G

8–1

8–2

8–3

8–4

8–5

8–7

8–6

8–8

8–9

TOPIC 8Solve Problems Involving GeometryTopic Overview ............................................................................... 410ATopic Opener .............................................................................410–411STEM Project ......................................................................................412Review What You Know ......................................................................413Math Literacy Activity .........................................................................414

Solve Problems Involving Scale Drawings . . . . . . . . . . . . . . . . . . . . . 415ACC.2.3.7.A.2, MP.1, MP.3, MP.4, MP.7, MP.8

Draw Geometric Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 421ACC.2.3.7.A.2, MP.7, MP.8

Draw Triangles with Given Conditions . . . . . . . . . . . . . . . . . . . . . . . . . 427ACC.2.3.7.A.2, MP.1, MP.3, MP.6

Solve Problems Using Angle Relationships . . . . . . . . . . . . . . . . . . . . . 435A CC.2.3.7.A.1, MP.1, MP.3, MP.4, MP.5, MP.6, MP.7

Solve Problems Involving Circumference of a Circle. . . . . . . . . . . . 441ACC.2.3.7.A.1, MP.1, MP.3, MP.4, MP.7, MP.8

Mid-Topic Checkpoint and Performance Task . . . . . . . . . . . . . . . . . . . . 447

Solve Problems Involving Area of a Circle . . . . . . . . . . . . . . . . . . . . . . 449A CC.2.3.7.A.1, MP.2, MP.3, MP.4, MP.6

3-Act Mathematical Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 455A CC.2.3.7.A.1, CC.2.3.7.A.2

Describe Cross Sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 459ACC.2.3.7.A.2, MP.1, MP.2, MP.4, MP.8

Solve Problems Involving Surface Area . . . . . . . . . . . . . . . . . . . . . . . . 465A CC.2.3.7.A.1, MP.2, MP.3, MP.4

Solve Problems Involving Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 472ACC.2.3.7.A.1, MP.1, MP.2, MP.3, MP.5

Topic Review ......................................................................................477Fluency Practice Activity ......................................................................483Topic Assessment............................................................................. 483ATopic Performance Assessment .......................................................... 483CCumulative/Benchmark Assessment Topics 1–8 ....................................483E

15Grade 7

PA-1 The Triangle Inequality Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . PA2

PA-2 Angles, Lines, and Transversals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . PA8CC.2.3.7.A.2, MP.2, MP.4, MP.5

CC.2.3.7.A.1, MP.1, MP.3, MP.6