Grade 7

Shapes and Designs

Shapes and Designs: Two-Dimensional Geometry

Investigation 1: The Family of Polygons

Common Core Standard in Additional Cluster

7.G.A.2, 7.G.B.5

Investigation 2: Designing Polygons: The Angle Connection

Common Core Standard in Major Cluster

7.EE.A.2, 7.EE.B.4

Common Core Standard in Additional Cluster

7.G.A.2, 7.G.B.5

Investigation 3: Designing Triangles and Quadrilaterals

Common Core Standard in Major Cluster

7.EE.B.4

Common Core Standard in Additional Cluster

7.G.A.2, 7.G.B.5

Accentuate the Negative

Accentuate the Negative: Integers and Rational Numbers

Investigation 1: Extending the Number System

Common Core Standard in Major Cluster

7.NS.A.1, 7.NS.A.1a, 7.NS.A.2, 7.NS.A.3, 7.EE.B.4b, 7.NS.A.1b, 7.NS.A.1c

Investigation 2: Adding and Subtracting Rational Numbers

Common Core Standard in Major Cluster

7.NS.A.1, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.2, 7.NS.A.3, 7.NS.A.1a, 7.EE.B.3

Investigation 3: Multiplying and Dividing Rational Numbers

Common Core Standard in Major Cluster

7.NS.A.2, 7.NS.A.2a, 7.NS.A.2b, 7.NS.A.2c, 7.NS.A.3, 7.NS.A.2d, 7.EE.B.3

Investigation 4: Properties of Operations

Common Core Standard in Major Cluster

7.NS.A.1, 7.NS.A.1d, 7.NS.A.2, 7.NS.A.2a, 7.NS.A.2d, 7.NS.A.3, 7.NS.A.2c, 7.EE.B.3

Stretching and Shrinking

Stretching and Shrinking: Understanding Similarity

Investigation 1: Enlarging and Reducing Shapes

Common Core Standard in Major Cluster

7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b

Common Core Standard in Additional Cluster

7.G.A.1, 7.G.A.2, 7.G.B.6

Investigation 2: Similar Figures

Common Core Standard in Major Cluster

7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b

Common Core Standard in Additional Cluster

7.G.A.1, 7.G.B.6

Investigation 3: Scaling Perimeter and Area

Common Core Standard in Major Cluster

7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.3

Common Core Standard in Additional Cluster

7.G.A.1, 7.G.A.2, 7.G.B.6

Investigation 4: Similarity and Ratios

Common Core Standard in Major Cluster

7.RP.A.2, 7.RP.A.2a, 7.EE.B.4, 7.RP.A.2b, 7.RP.A.3, 7.EE.B.3,

Common Core Standard in Additional Cluster

7.G.A.1, 7.G.B.6

Comparing and Scaling

Comparing and Scaling: Ratios, Rates, Percents, and Proportions

Investigation 1: Ways of Comparing: Ratios and Proportions

Common Core Standard in Major Cluster

7.RP.A.2, 7.RP.A.3, 7.EE.B.4

Common Core Standard in Supporting Cluster

6.G.A.1

Investigation 2: Comparing and Scaling Rates

Common Core Standard in Major Cluster

7.RP.A.1, 7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d, 7.RP.A.3, 7.EE.B.4, 7.EE.B.4a

Investigation 3: Markups, Markdowns, and Measures: Using Ratios, Percents, and Proportions

Common Core Standard in Major Cluster

7.RP.A.2, 7.RP.A.2a, 7.RP.A.2c, 7.RP.A.3, 7.EE.B.3, 7.EE.B.4, 7.EE.B.4a

Moving Straight Ahead

Moving Straight Ahead: Linear Relationships

Investigation 1: Walking Rates

Common Core Standard in Major Cluster

7.EE.B.3, 7.EE.B.4, 7.EE.B.4a, 7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c

Investigation 2: Exploring Linear Relationships With Graphs and Tables

Common Core Standard in Major Cluster

7.EE.B.3, 7.EE.B.4, 7.EE.B.4a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d

Investigation 3: Solving Equations

Common Core Standard in Major Cluster

7.EE.A.2, 7.EE.B.4a, 7.EE.B.4b

Investigation 4: Exploring Slope: Connecting Rates and Ratios

Common Core Standard in Major Cluster

7.EE.A.1, 7.EE.A.2, 7.EE.B.4, 7.EE.B.4a, 7.EE.B.4b, 7.EE.A.1,
7.EE.B.3, 7.EE.B.4

What Do you expect?

What Do You Expect? Probability and Expected Value

Investigation 1: A First Look at Chance

Common Core Standard in Major Cluster

7.EE.B.3, 7.RP.A.2

Common Core Standard in Supporting Cluster

7.SP.C.6, 7.SP.C.7a, 7.SP.C.7b, 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b

Investigation 2: Experimental and Theoretical Probability

Common Core Standard in Major Cluster

7.EE.B.3, 7.RP.A.2

Common Core Standard in Supporting Cluster

7.SP.C.5, 7.SP.C.6, 7.SP.C.7b, 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b, 7.SP.C.8c, 7.SP.C.7

Investigation 3: Making Decisions With Probability

Common Core Standard in Major Cluster

7.EE.B.3, 7.RP.A.3, 7.RP.A.2

Common Core Standard in Supporting Cluster

7.SP.C.6, 7.SP.C.7, 7.SP.C.7a, 7.SP.C.7b, 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b, 7.SP.C.8c, 7.SP.C.5

Investigation 4: Analyzing Compound Events Using an Area Model

Common Core Standard in Major Cluster

7.EE.B.3, 7.RP.A.3, 7.RP.A.2

Common Core Standard in Supporting Cluster

7.SP.C.5, 7.SP.C.6, 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b, 7.SP.C.8c, 7.SP.C.7, 7.SP.C.7a, 7.SP.C.7b

Investigation 5: Binomial Outcomes

Common Core Standard in Major Cluster

7.EE.B.3, 7.RP.A.3, 7.RP.A.2

Common Core Standard in Supporting Cluster

7.SP.C.5, 7.SP.C.7, 7.SP.C.7a, 7.SP.C.8a, 7.SP.C.8b, 7.SP.C.8c, 7.SP.C.8

Filling and Wrapping

Filling and Wrapping: Three-Dimensional Measurement

Investigation 1: Building Smart Boxes: Rectangular Prisms

Common Core Standard in Major Cluster

7.RP.A.2, 7.EE.A.2

Common Core Standard in Additional Cluster

7.G.B.6, 7.G.A.1

Investigation 2: Polygonal Prisms

Common Core Standard in Major Cluster

7.NS.A.3

Common Core Standard in Additional Cluster

7.G.A.3, 7.G.B.6

Investigation 3: Area and Circumference of Circles

Common Core Standard in Major Cluster

7.NS.A.3, 7.EE.A.1, 7.EE.A.2

Common Core Standard in Additional Cluster

7.G.B.4, 7.G.B.6

Investigation 4: Cylinders, Cones, and Spheres

Common Core Standard in Major Cluster

7.NS.A.3

Common Core Standard in Additional Cluster

7.G.B.4, 7.G.B.6

Samples and Populations

Samples and Populations: Making Comparisons and Predictions

Investigation 1: Making Sense of Samples

Common Core Standard in Additional Cluster

7.SP.B.3, 7.SP.B.4

Investigation 2: Choosing Samples From Populations

Common Core Standard in Supporting Cluster

7.SP.A.1, 7.SP.A.2

Investigation 3: Using Samples to Draw Conclusions

Common Core Standard in Major Cluster

7.RP.A.2, 7.NS.A.1, 7.NS.A.1b

Common Core Standard in Supporting Cluster

7.SP.A.1, 7.SP.A.2, 7.SP.C.5, 7.SP.C.7, 7.SP.C.7a

Common Core Standard in Additional Cluster

7.SP.B.3, 7.SP.B.4