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## Thinking With Mathematical Models: Linear and Inverse Variation

### Investigation 1: Exploring Data Patterns

Common Core Standard in Major Cluster

8.F.A.2, 8.F.A.3, 8.F.B.5

Common Core Standard in Supporting Cluster

8.SP.A.1

### Investigation 2: Linear Models and Equations

Common Core Standard in Major Cluster

8.F.A.3, 8.EE.B.5, 8.EE.C.7, 8.EE.C.8, 8.F.B.4, 8.EE.C.7b, 8.EE.C.8a, 8.EE.C.8c, 8.F.A.1, 8.F.A.2

Common Core Standard in Supporting Cluster

8.SP.A.2, 8.SP.A.1, 8.SP.A.3

### Investigation 3: Inverse Variation

Common Core Standard in Major Cluster

8.EE.B.5, 8.F.B.5, 8.F.A.1, 8.F.A.3

Common Core Standard in Supporting Cluster

8.SP.A.1

### Investigation 4: Variability and Associations in Numeric Data

Common Core Standard in Major Cluster

8.F.A.1, 8.F.B.4, 8.F.B.5

Common Core Standard in Supporting Cluster

8.SP.A.1, 8.SP.A.3, .SP.A.2

### Investigation 5: Variability and Associations in Categorical Data

Common Core Standard in Supporting Cluster

8.SP.A.4

## Looking for Pythagoras: The Pythagorean Theorem

### Investigation 1: Coordinate Grids

Common Core Standard in Major Cluster

8.G.B.6, 8.G.B.8

### Investigation 2: Squaring Off

Common Core Standard in Major Cluster

8.EE.A.2

Common Core Standard in Supporting Cluster

8.NS.A.2

### Investigation 3: The Pythagorean Theorem

Common Core Standard in Major Cluster

8.G.B.6, 8.G.B.7, 8.G.B.8

### Investigation 4: Using the Pythagorean Theorem: Understanding Real Numbers

Common Core Standard in Major Cluster

8.EE.A.2, 8.G.B.7

Common Core Standard in Supporting Cluster

8.NS.A.1, 8.NS.A.2

### Investigation 5: Using the Pythagorean Theorem: Analyzing Triangles and Circles

Common Core Standard in Major Cluster

8.EE.A.2, 8.G.B.7

Common Core Standard in Supporting Cluster

8.NS.A.1, 8.NS.A.2

## Growing, Growing, Growing: Exponential Functions

### Investigation 1: Exponential Growth

Common Core Standard in Major Cluster

8.EE.A.3, 8.EE.A.4, 8.F.A.1, 8.F.A.2, 8.F.B.4, 8.F.B.5

### Investigation 2: Examining Growth Patterns

Common Core Standard in Major Cluster

8.EE.A.3, 8.F.B.5, 8.F.A.1

### Investigation 3: Growth Factors and Growth Rates

Common Core Standard in Major Cluster

8.F.A.1, 8.F.A.2, 8.F.A.3, 8.F.B.5

### Investigation 4: Exponential Decay Functions

Common Core Standard in Major Cluster

8.EE.A.1, 8.EE.A.3, 8.EE.A.4, 8.F.B.5

### Investigation 5: Patterns With Exponents

Common Core Standard in Major Cluster

8.EE.A.1, 8.EE.A.4, 8.EE.A.2, 8.EE.A.3,8.F.A.3

## Butterflies, Pinwheels, and Wallpaper: Symmetry and Transformations

### Investigation 1: Symmetry and Transformations

Common Core Standard in Major Cluster

8.G.A.1, 8.G.A.1a, 8.G.A.1b, 8.G.A.1c

### Investigation 2: Transformations and Congruence

Common Core Standard in Major Cluster

8.G.A.2, 8.G.A.1a, 8.G.A.1b, 8.G.A.1

### Investigation 3: Transforming Coordinates

Common Core Standard in Major Cluster

8.G.A.3, 8.G.A.1c, 8.G.A.5,8.G.A.1, 8.G.A.1a, 8.G.A.1b, 8.G.A.2

### Investigation 4: Dilations and Similar Figures

Common Core Standard in Major Cluster

8.G.A.3, 8.G.A.4, 8.G.A.5, 8.EE.B.6

## Say It With Symbols: Making Sense of Symbols

### Investigation 1: Making Sense of Symbols: Equivalent Expressions

Common Core Standard in Major Cluster

8.EE.C.7, 8.EE.C.7b, 8.F.A.1, 8.F.A.3

### Investigation 2: Combining Expressions

Common Core Standard in Major Cluster

8.EE.C.7, 8.EE.C.7b, 8.F.A.1, 8.F.A.2, 8.F.A.3

Common Core Standard in Additional Cluster

8.G.C.9

### Investigation 3: Solving Equations

Common Core Standard in Major Cluster

8.EE.C.7, 8.EE.C.7b, 8.F.A.1, 8.EE.A.2, 8.EE.C.7a, 8.EE.C.8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c

### Investigation 4: Looking Back at Functions

Common Core Standard in Major Cluster

8.EE.C.7b, 8.F.A.1, 8.F.A.3, 8.F.B.4, 8.F.B.5, 8.EE.C.7

### Investigation 5: Reasoning With Symbols

Common Core Standard in Major Cluster

8.EE.C.7a, 8.EE.C.7b, 8.F.A.1, 8.F.A.2, 8.F.B.4

## It’s in the System: Systems of Linear Equations and Inequalities

### Investigation 1: Linear Equations With Two Variables

Common Core Standard in Major Cluster

8.EE.C.8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c, 8.F.A.3

### Investigation 2: Solving Linear Systems Algebraically

Common Core Standard in Major Cluster

8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c, 8.EE.C.8

### Investigation 3: Systems of Functions and Inequalities

Common Core Standard in Major Cluster

8.EE.C.8c, 8.EE.C.8a

### Investigation 4: Systems of Linear Inequalities

Common Core Standard in Major Cluster

8.EE.C.8c, 8.EE.C.8b