# Grade 8 / Algebra I Identified by PARCC

## Thinking With Mathematical Models: Linear and Inverse Variation

### Investigation 1: Exploring Data Patterns

**Common Core Standard in Major Cluster**

8.F.B.5, F-IF.B.4, F-IF.B.6

**Common Core Standard in Supporting Cluster**

8.SP.A.1, N-Q.A.1, N-Q.A.2, F-IF.C.7, F-IF.C.9,

F-BF.A.1a, F-LE.A.1, F-LE.A.1b

### Investigation 2: Linear Models and Equations

**Common Core Standard in Major Cluster**

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

A-REI.A.1, A-REI.B.3, F-IF. A.1

**Common Core Standard in Supporting Cluster**

8.SP.A.1, 8.SP.A.2, 8.SP.A.3, N-Q.A.1, F-BF.A.1, F-BF.A.1a,

F-LE.A.2, F-LE.B.5, S-ID.B.6, S-ID.B.6a, S-ID.B.6b, S-ID.B.6c

**Common Core Standard in Additional Cluster**

A-REI.C.6

### Investigation 3: Inverse Variation

**Common Core Standard in Major Cluster**

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

A-REI.A.1

**Common Core Standard in Supporting Cluster**

8.SP.A.1, F-IF.C.7e, F-IF.C.8, F-BF.A.1, F-BF.A.1a, S-ID.B.6a

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

**Common Core Standard in Major Cluster**

8.F.A.1, 8.F.A.3, 8.F.B.4, 8.F.B.5, A-CED.A.2, S-ID.C.7,

S-ID.C.8, S-ID.C.9

**Common Core Standard in Supporting Cluster**

8.SP.A.1, 8.SP.A.2, 8.SPA.3, N-Q.A.1, S-ID.B.6, S-ID.B.6b

**Common Core Standard in Additional Cluster**

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

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

**Common Core Standard in Major Cluster**

S-ID.C.9

**Common Core Standard in Supporting Cluster**

8.SP.A.4, S-ID.B.5

## Looking for Pythagoras: The Pythagorean Theorem

### Investigation 1: Coordinate Grids

**Common Core Standard in Major Cluster**

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, N-Q.A.3

### 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.EE.C.7a, 8.G.B.7, A-CED.A.1,

**Common Core Standard in Supporting Cluster**

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

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

**Common Core Standard in Major Cluster**

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

**Common Core Standard in Supporting Cluster**

N-Q.A.3

## 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.A.1, 8.F.A.3, 8.F.B.4, 8.F.B.5, A-CED.A.1,

A-CED.A.2, A-SSE.A.1, A-REI.D.10, F-IF.B.4

**Common Core Standard in Supporting Cluster**

F-IF.C.9, F-LE.A.1a, F-LE.A.2, F-LE.A.3, F-LE.B.5

### Investigation 3: Growth Factors and Growth Rates

**Common Core Standard in Major Cluster**

8.F.A.1, 8.F.B.5, A-SSE.A.1a, A-CED.A.2, A-REI.D.10, F-IF.B.4

**Common Core Standard in Supporting Cluster**

F-LE.A.1a, F-LE.A.1c, F-LE.A.2, F-LE.B.5

### Investigation 4: Exponential Decay Functions

**Common Core Standard in Major Cluster**

8.F.A.1, 8.F.A.2, 8.F.B.5, A-SSE.A.1a, A.SSE.A.1b, A-CED.A.2, A-REI.D.10, F-IF.B.4, F-IF.B.6

**Common Core Standard in Supporting Cluster**

N-Q.A.1, F-IF.C.9, F-LE.A.1a, F-LE.A.1c, F-LE.A.2, F-LE.B.5

### Investigation 5: Patterns With Exponents

**Common Core Standard in Major Cluster**

8.EE.A.1, 8.EE.A.2, 8.EE.A.3, 8.EE.A.4, 8.F.A.3, A-SSE.A.1a, A-SSE.A.2

**Common Core Standard in Supporting Cluster**

A-SSE.B.3c

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

### Investigation 1: Introduction to Quadratic Functions

**Common Core Standard in Major Cluster**

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

**Common Core Standard in Supporting Cluster**

N-Q.A.1, F-IF.C.7, F-IF.C.7a, F-IF.C.9, F-BF.A.1

### Investigation 2: Quadratic Expressions

**Common Core Standard in Major Cluster**

A-SSE.A.1, A-SSE.A.1a, A-SSE.A.1b, A-SSE.A.2, A-CED.A.2, A-REI.D.10, F-IF.B.4

**Common Core Standard in Supporting Cluster**

A-SSE.B.3, F-IF.C.7, F-IF.C.7a, F-IF.C.8, F-IF.C.8a, F-BF.A.1, F-BF.A.1a

### Investigation 3: Quadratic Patterns of Change

**Common Core Standard in Major Cluster**

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

**Common Core Standard in Supporting Cluster**

A-SSE.B.3, F-IF.C.7, F-IF.C.7a, F-IF.C.9, F-BF.A.1, F-BF.A.1a, F-LE.A.1, F-LE.A.1a, F-LE.A.1b

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

**Common Core Standard in Major Cluster**

Common Core Standard in Major Cluster A-CED.A.2,

A-REI.D.10, F-IF.B.4

**Common Core Standard in Supporting Cluster**

F-IF.C.7, F-IF.C.7a, F-IF.C.9, F-LE.A.1, F-LE.A.1a, F-LE.A.1b

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

### Investigation 3: Transforming Coordinates

**Common Core Standard in Major Cluster**

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

### Investigation 4: Dilations and Similar Figures

**Common Core Standard in Major Cluster**

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

## 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.3, A-SSE.A.1, A-SSE.A.1a,

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

**Common Core Standard in Supporting Cluster**

A-SSE.B.3, F-IF.C.9, F-BF.A.1a

### 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, A-SSE.A.1, A-SSE.A.1a, A-SSE.A.1b, A-SSE.A.2, A-CED.A.1, A-REI.B.3

**Common Core Standard in Supporting Cluster**

N-Q.A.1, N-Q.A.2, A-SSE.B.3, F-IF.C.9, F-BF.A.1, F-BF.A.1a

**Common Core Standard in Additional Cluster**

8.G.C.9

p>### Investigation 3: Solving Equations

**Common Core Standard in Major Cluster**

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

A-REI.A.1, A-REI.B.3, A-REI.B.4, A-REI.B.4b, A-REI.D.10,

A-REI.D.11

**Common Core Standard in Supporting Cluster**

N-Q.A.1, A-SSE.B.3, A-SSE.B.3a

**Common Core Standard in Additional Cluster**

A-REI.C.6

### Investigation 4: Looking Back at Functions

**Common Core Standard in Major Cluster**

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

A-SSE.A.1, A-SSE.A.1a, A-SSE.A.1b, A-SSE.A.2, A-CED.A.1, A-CED.A.2, A-REI.B.3, A-REI.B.4, A-REI.B.4b7

**Common Core Standard in Supporting Cluster**

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

### Investigation 5: Reasoning With Symbols

**Common Core Standard in Major Cluster**

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

**Common Core Standard in Supporting Cluster**

A-SSE.A.3, F-BF.A.1

**Common Core Standard in Additional Cluster**

N-RN.B.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.C.8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c, 8.F.A.3,

A-CED.A.2, A-CED.A.3, A-CED.A.4, A-REI. B.3, A-REI.D.10

**Common Core Standard in Additional Cluster**

A-REI.C.6

### Investigation 2: Solving Linear Systems Algebraically

**Common Core Standard in Major Cluster**

8.EE.C.8, 8.EE.C.8a, 8.EE.C.8b, 8.EE.C.8c, A-CED.A.2,

A-CED.A.3, A-CED.A.4, A-REI.B.3, A-REI.D.10

**Common Core Standard in Additional Cluster**

A-REI.C.6

### Investigation 3: Systems of Functions and Inequalities

**Common Core Standard in Major Cluster**

8.EE.C.8a, 8.EE.C.8c, A-CED.A.1, A-CED.A.2, A-CED.A.3,

A-REI.B.3, A-REI.B.4, A-REI.B.4b, A-REI.D.10

**Common Core Standard in Additional Cluster**

A-REI.C.6

### Investigation 4: Systems of Linear Inequalities

**Common Core Standard in Major Cluster**

8.EE.C.8b, 8.EE.C.8c, A-CED.A.2, A-CED.A.3, A-REI.D.10,

A-REI.D.12

**Common Core Standard in Additional Cluster**

A-REI.C.6

## Function Junction: The Families of Functions

### Investigation 1: Families of Functions

**Common Core Standard in Major Cluster**

F-IF.A.1, F-IF.A.2, F-IF.B.4, F-IF.B.5, F-IF.B.6

**Common Core Standard in Supporting Cluster**

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

### Investigation 2: Arithmetic and Geometric Sequences

**Common Core Standard in Major Cluster**

F-IF.A.3

**Common Core Standard in Supporting Cluster**

F-BF.A.1a

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

**Common Core Standard in Major Cluster**

F-IF.C.7a, F-IF.C.9

**Common Core Standard in Additional Cluster**

F-BF.B.3

### Investigation 4: Solving Quadratic Equations Algebraically

**Common Core Standard in Major Cluster**

A-SSE.A.2, A-REI.B.4, A-REI.B.4a, A-REI.B.4b

**Common Core Standard in Supporting Cluster**

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

**Common Core Standard in Additional Cluster**

F-BF.B.3

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

**Common Core Standard in Major Cluster**

A-APR.A.1, F-IF.B.4

**Common Core Standard in Supporting Cluster**

A-APR.B.3, F-IF.C.9