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# Grade 8/Algebra I Identified by Appendix A

## Thinking With Mathematical Models: Linear and Inverse Variation

### Investigation 1: Exploring Data Patterns

Common Core Standard in Supporting Cluster

8.SP.1, N-Q.1, N-Q.2, F-IF.7a, F-IF.9, F-BF.1a, F-LE.1a,
F-LE.1b

Common Core Standard in Major Cluster

8.F.2, 8.F.3, 8.F.5, A-SSE.1, A-CED.1, F-IF.4

### Investigation 2: Linear Models and Equations

Common Core Standard in Supporting Cluster

8.SP.2, F-IF.7a, F-LE.2, S-ID.6a, S-ID.6b, S-ID.6c

Common Core Standard in Major Cluster

8.F.3, 8.F.4, 8.EE.5, 8.EE.7, 8.EE.8, A-SSE.1, A-SSE.1a,
A-SSE.1b, A-CED.1, A-REI.1, A-REI.3, F-IF.4

Common Core Standard in Additional Cluster

A-REI.6

### Investigation 3: Inverse Variation

Common Core Standard in Supporting Cluster

8.SP.1, N-Q.1, S-ID.6a

Common Core Standard in Major Cluster

8.F.3, 8.F.5, A-SSE.1, A-SSE.1a, A-SSE.1b, A-SSE.2, A-CED.2, A-CED.4, A-REI.1, F-IF.4

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

Common Core Standard in Supporting Cluster

8.SP.1, 8.SP.3, N-Q.1, S-ID.6b

Common Core Standard in Major Cluster

S-ID.7, S-ID.8, S-ID.9

Common Core Standard in Additional Cluster

S-ID.1, S-ID.2, S-ID.3

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

Common Core Standard in Supporting Cluster

8.SP.4, S-ID.5

Common Core Standard in Major Cluster

S-ID.9

## Looking for Pythagoras: The Pythagorean Theorem

### Investigation 1: Coordinate Grids

Common Core Standard in Major Cluster

8.G.6

### Investigation 2: Squaring Off

Common Core Standard in Supporting Cluster

8.NS.2, N-Q.3

Common Core Standard in Major Cluster

8.EE.2

### Investigation 3: The Pythagorean Theorem

Common Core Standard in Major Cluster

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

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

Common Core Standard in Supporting Cluster

8.NS.1, 8.NS.2, N-Q.3

Common Core Standard in Major Cluster

8.EE.2, 8.G.7, A-CED.1

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

Common Core Standard in Supporting Cluster

8.NS.1, N-Q.3

Common Core Standard in Major Cluster

8.G.7, 8.G.8, 8.G.4, A-CED.2, A-REI.10

## Growing, Growing, Growing: Exponential Functions

### Investigation 1: Exponential Growth

Common Core Standard in Major Cluster

8.EE.3, 8.EE.4, 8.F.2, 8.F.4, A-CED.1, A-CED.2, A-REI.3

Common Core Standard in Supporting Cluster

F-IF.7a, F-IF.9, F-BF.1a, F-LE.1a, F-LE.3, F-LE.5

### Investigation 2: Examining Growth Patterns

Common Core Standard in Supporting Cluster

N-Q.1, N-Q.2, F-BF.1a, F-LE.1a, F-LE.2, F-LE.5

Common Core Standard in Major Cluster

8.EE.3, 8.F.5, A-SSE.1a, A-CED.1, A-CED.2

### Investigation 3: Growth Factors and Growth Rates

Common Core Standard in Major Cluster

8.F.1, 8.F.2, 8.F.3, 8.F.5, A-SSE.1b, A-SSE.2, A-CED.1,
A-CED.2

Common Core Standard in Supporting Cluster

F-BF.1a, F-LE.1a, F-LE.1c, F-LE.2, F-LE.5

### Investigation 4: Exponential Decay Functions

Common Core Standard in Supporting Cluster

B.F.1, 8.F.2, 8.F.3, 8.F.5, N-Q.1, N-Q.2, N-Q.3, F-IF.9, F-BF.1a, F-LE.1a, F-LE.5

Common Core Standard in Major Cluster

A-CED.2

### Investigation 5: Patterns With Exponents

Common Core Standard in Major Cluster

8.EE.1, 8.EE.3, 8.EE.4, A-CED.2

Common Core Standard in Supporting Cluster

N-Q.3, A-SSE.3c, F-IF.9

## Frogs, Fleas, and Painted Cubes: Quadratic Functions

### Investigation 1: Introduction to Quadratic Functions

Common Core Standard in Major Cluster

A-SSE.1b, A-SSE.2, A-CED.2, A-REI.10, F-IF.4, F-IF.5

Common Core Standard in Supporting Cluster

N-Q.1, F-IF.9

Common Core Standard in Major Cluster

A-SSE.1b, A-SSE.2, A-APR.1, A-CED.2, A-REI.10, F-IF.4

Common Core Standard in Supporting Cluster

A-SSE.3a, F-IF.8a, F-IF.9

### Investigation 3: Quadratic Patterns of Change

Common Core Standard in Major Cluster

A-SSE.1b, A-SSE.2, A-CED.2, A-REI.10

Common Core Standard in Supporting Cluster

A-SSE.3a

### Investigation 4: Frogs Meet Fleas on a Cube: More Applications of Quadratic Function

Common Core Standard in Supporting Cluster

N-Q.2, A-SSE.3a, F-IF.9

Common Core Standard in Major Cluster

A-SSE.1b, A-SSE.2, A-REI.10, F-IF.4

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

### Investigation 1: Symmetry and Transformations

Common Core Standard in Major Cluster

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

### Investigation 2: Transformations and Congruence

Common Core Standard in Major Cluster

8.G.2, 8.G.1a, 8.G.1b

### Investigation 3: Transforming Coordinates

Common Core Standard in Major Cluster

8.G.3, 8.G.1c, 8.G.5

### Investigation 4: Dilations and Similar Figures

Common Core Standard in Major Cluster

8.G.3, 8.G.4, 8.G.5, 8.EE.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.7, 8.EE.7b, 8.F.1, A-SSE.1b, A-SSE.2

Common Core Standard in Supporting Cluster

F-IF.9

### Investigation 2: Combining Expressions

Common Core Standard in Major Cluster

8.EE.7, 8.EE.7b,8.F.1, 8.F.2, A-SSE.1b, A-SSE.2, A-REI.1

Common Core Standard in Supporting Cluster

### Investigation 3: Solving Equations

Common Core Standard in Major Cluster

8.EE.7, 8.EE.7b, 8.F.1, A-SSE.1b, A-SSE.2, A-REI.1, A-REI.11

### Investigation 4: Looking Back at Functions

Common Core Standard in Major Cluster

8.EE.7b, 8.F.1, 8.F.3, 8.F.4, 8.F.5, A-SSE.1b, A-SSE.2, A-REI.1

Common Core Standard in Supporting Cluster

N-Q.1, N-Q.2, A-SSE.3a, F-IF.9, F-BF, 1a, F-LE.1a, F-LE.2,
F-LE.5

### Investigation 5: Reasoning With Symbols

Common Core Standard in Major Cluster

8.EE.7a, A-SSE.1b, A-SSE.2

Common Core Standard in Additional Cluster

N-RN.3

## 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.8, 8,EE,8a, 8,EE,8b, 8,EE,8c, A-CED.2, A-CED.3,
A-CED.4, A-REI.10, A-REI.12

Common Core Standard in Additional Cluster

A-REI.6

### Investigation 2: Solving Linear Systems Algebraically

Common Core Standard in Major Cluster

8.EE.8a, 8.EE.8b, 8.EE.8c, A-CED.2, A-CED.3, A-REI.4,
A-REI.12

Common Core Standard in Additional Cluster

A-REI.5, A-REI.6

### Investigation 3: Systems of Functions and Inequalities

Common Core Standard in Major Cluster

A-CED.1, A-CED.3, A-REI.3, A-REI.4, A-REI.4b, A-REI.12

### Investigation 4: Systems of Linear Inequalities

Common Core Standard in Major Cluster

A-CED.2, A-CED.3, A-REI.122

## Function Junction: The Families of Functions

### Investigation 1: Families of Functions

Common Core Standard in Supporting Cluster

N-Q.1, N-Q.2, F-IF.7b

Common Core Standard in Major Cluster

F-IF.1, F-IF.2, F-IF.4, F-IF.6

### Investigation 2: Arithmetic and Geometric Sequences

Common Core Standard in Major Cluster

F-IF.1, F-IF.2, F-IF.3

Common Core Standard in Supporting Cluster

F-BF.1a, F-LE.2

### Investigation 3: Transforming Graphs, Equations, and Functions

Common Core Standard in Major Cluster

A-SSE.1b, A-SSE.2, F-IF.1

Common Core Standard in Additional Cluster

F-BF.3

### Investigation 4: Completing the Square, the Quadratic Formula, and Complex Numbers

Common Core Standard in Major Cluster

A-SSE.1b, A-SSE.2, A-REI.3, A-REI.4a, A-REI.4b, F-IF.1,
F-IF.5

Common Core Standard in Supporting Cluster

A-SSE.B.3b, F-IF.C.8a, A-APR.B.3

Common Core Standard in Supporting Cluster

A-SSE.3b, F-IF.8a

### Investigation 5: Polynomial Expressions, Functions, and Equations

Common Core Standard in Major Cluster

A-SSE.1b, A-SSE.2, A-APR.1, F-IF.1