Below are the links to our Pre-Algebra Curriculums Maps for 6th, 7th, and 8th Grade. If you only want to look through the lessons included in the curriculums there is a table of contents for each of the grade levels below as well.

**Pre-Algebra Curriculum Maps with CCSS Standard Alignment**

6th Grade Math Curriculum Map – with CCSS

**Table of Contents**

**Pre-Algebra 6th Grade Curriculum Map**

### Unit 1 – Ratios and Proportional Relationships

1-1 Ratios

1-2 Unit Rate

1-3 Equivalent Ratios and Tables

1-4 Comparing Ratios

1-5 Proportions

1-6 Percent and Rates per 100

1-7 A Fraction as a Percent

1-8 Ratio and Measurement Units

### Unit 2 – Operations Including Division of Fractions

2-1 Dividing Fractions

2-2 Dividing Whole Number and Fractions

2-3 Dividing Mixed Numbers and Fractions

2-4 Dividing Multi-Digit Numbers

2-5 Add and Subtract Multi-Digit Decimals

2-6 Multiply and Divide Multi-Digit Decimals

2-7 Least Common Multiple and Greatest Common Factor

2-8 The Distributive Property and the Products of Decimals

### Unit 3 – Rational Numbers

3-1 Positive and Negative Numbers

3-2 Positive and Negative Numbers on the Number Line

3-3 Comparing and Ordering Rational Numbers

3-4 Writing and Interpreting Inequality Statements

3-5 Absolute Value of Rational Numbers

3-6 Absolute Value and Ordering Numbers

3-7 Rational Numbers and the Coordinate Plane

3-8 Ordered Pairs on the Coordinate Plane

3-9 Distance on the Coordinate Plane

### Unit 4 – Expressions and Equations

4-1 Writing and Evaluating Numerical Expressions with Exponents

4-2 Writing and Evaluating Algebraic Expressions

4-3 The Order of Operations

4-4 Equivalent Expressions

4-5 Solutions of Equations

4-6 Solving One – Variable Equations

4-7 Solving One – Variable Inequalities

4-8 Dependent and Independent Variables

4-9 Applications of Equations or Inequalities

### Unit 5 – Geometry

5-1 The Area of Special Quadrilaterals

5-2 The Area of Right Triangles

5-3 The Area of All Triangles

5-4 The Area of Polygons Through Composition and Decomposition

5-5 Volume of Right Rectangular Prisms

5-6 Polygons on the Coordinate Plane

5-7 Perimeter and Area of Polygons on the Coordinate Plane

5-8 Nets and Surface Area

### Unit 6 – Statistics and Probability

6-1 Statistical Questions

6-2 Display Data on Dot Plots, Histograms, and Box Plots

6-3 Mean and Median

6-4 Range and Interquartile Range

6-5 Mean Absolute Deviation

6-6 Comparing Data Displays

6-7 Shape of Data Distributions

6-8 Describing Distributions

### Unit 7 – Data Displays

7-1 Statistical Questions

7-2 Display Data on Dot Plots, Histograms, and Box Plots

7-3 Mean and Median

7-4 Range and Interquartile Range

7-5 Mean Absolute Deviation

7-6 Comparing Data Displays

7-7 Shape of Data Distributions

7-8 Describing Distributions

**Pre-Algebra 7th Grade Curriculum Map**

### Unit 1 – Algebraic Expressions and Integers

1-1 Place Value

1-2 Variables and Expressions

1-3 The Order of Operations

1-4 Writing and Evaluating Expressions

1-5 Integers and Absolute Value

1-6 Adding Integers

1-7 Subtracting Integers

1-8 Problem Solving: Rounding and Estimating

1-9 Inductive Reasoning

1-10 Patterns

1-11 Multiplying and Dividing Integers

1-12 The Coordinate Plane

### Unit 2 – Solving One-Step Equations and Inequalities

2-1 Properties of Numbers

2-2 The Distributive Property

2-3 Simplifying Variable Expressions

2-4 Variables and Equations

2-5 Solving Equations by Adding or Subtracting

2-6 Solving Equations by Multiplying or Dividing

2-7 Guess, Check, and Revise

2-8 Inequalities and Their Graphs

2-9 Solving One-Step Inequalities by Adding or Subtracting

2-10 Solving One-Step Inequalities by Multiplying or Dividing

### Unit 3 – Decimals and Equations

3-1 Rounding and Estimating

3-2 Estimating Decimal Products and Quotients

3-3 Mean, Median, and Mode

3-4 Using Formulas

3-5 Solving Equations by Adding or Subtracting Decimals

3-6 Solving Equations by Multiplying or Dividing Decimals

3-7 Using the Metric System

### Unit 4 – Factors, Fractions, And Exponents

4-1 Divisibility and Factors

4-2 Exponents

4-3 Prime Factorization and Greatest Common Factor

4-4 Simplifying Fractions

4-5 Rational Numbers

4-6 Irrational Numbers

4-7 Exponents and Multiplication

4-8 Exponents and Division

4-9 Scientific Notation

4-10 Cube Roots

### Unit 5 – Operations with Fractions

5-1 Comparing and Ordering Rational Numbers

5-2 Fractions and Decimals

5-3 Adding and Subtracting Fractions

5-4 Multiplying and Dividing Fractions

5-5 Using Customary Units of Measurements

5-6 Solving Equations by Adding or Subtracting Fractions

5-7 Solving Equations by Multiplying Fractions

5-8 Powers of Products and Quotients

### Unit 6 – Ratios, Proportions, and Percentages

6-1 Ratios and Unit Rates

6-2 Proportions

6-3 Similar Figures and Scale Drawings

6-4 Probability

6-5 Fractions, Decimals, and Percentages

6-6 Proportions and Percentages

6-7 Percentages and Equations

6-8 Percent of Change

6-9 Markup and Discount

6-10 Tables

### Unit 7 – Solving Equations and Inequalities

7-1 Solving Two-Step Equations

7-2 Solving Multi-Step Equations

7-3 Multi-Step Equations with Fractions and Decimals

7-4 Write an Equation

7-5 Solving Equations with Variables on Both Sides

7-6 Solving Two-Step Inequalities

7-7 Transforming Formulas

7-8 Simple and Compound Interest

**Unit 8 – ****Linear Functions and Graphing**

8-1 Relations and Functions

8-2 Equations with Two Variables

8-3 Slope and y-intercept

8-4 Writing Rules for Linear Functions

8-5 Scatter Plots

8-6 Solving Systems of Linear Equations by Graphing

8-7 Solving Systems of Linear Equations by Substitution

8-8 Graphing Linear Inequalities

### Unit 9 – Spatial Thinking

9-1 Introduction to Geometry: Points, Lines, and Planes

9-2 Angle Relationships and Parallel Lines

9-3 Classifying Polygons

9-4 Draw a Diagram

9-5 Congruence

9-6 Circles

9-7 Constructions

9-8 Translations

9-9 Symmetry and Rotations

9-10 Rotations

### Unit 10 – Area and Volume

10-1 Area of Parallelograms

10-2 Area of Triangles and Trapezoids

10-3 Area of Circles

10-4 Space Figures

10-5 Surface Area of Prisms and Cylinders

10-6 Surface Area of Pyramids, Cones, and Spheres

10-7 Volumes of Prisms and Cylinders

10-8 Volume of Pyramids, Cones, and Spheres

### Unit 11 – Right Triangles in Algebra

11-1 Square Roots and Irrational Numbers

11-2 The Pythagorean Theorem

11-3 Distance and Midpoint Formulas

11-4 Write a Proportion

11-5 Special Right Triangles

11-6 Sine, Cosine, and Tangent Ratios

11-7 Angles of Elevation and Depression

### Unit 12 – Data Analysis and Probability

12-1 Frequency Tables, Line Plots, and Histograms

12-2 Box-and-Whisker Plots

12-3 Stem and Leaf Plots

12-4 Counting Outcomes and Theoretical Probability

12-5 Independent and Dependent Events

12-6 Permutations and Combinations

12-7 Experimental Probability

12-8 Random Samples and Surveys

### Unit 13 – Nonlinear Functions and Polynomials

13-1 Patterns and Sequences

13-2 Graphing Nonlinear Functions

13-3 Exponential Growth and Decay

13-4 Polynomials

13-5 Adding and Subtracting Polynomials

13-6 Multiplying a Polynomial by a Monomial

13-7 Multiplying Binomials

13-8 Using Multiple Strategies

## PreAlgebra 8th Grade Curriculum Map

**Unit 1 – Real Numbers and Exponents (The Number System)**

### Unit 2 – Expressions and Equations

2-1 Expressions with Radicals Exponents.2-2 Expressions with Integer Exponents.2-3 Creating Linear Equations2-4 Solving Equations with Variables on Both Sides2-5 Solving Equations with Distributive Property2-6 Solving Equations by Combining Like Term2-7 One, Infinite, and No solutions of Equations2-8 Solving Exponent Equations

### Unit 3 – Linear and Functional Relationships (Functions)

3-1 Intro to Functions (Graphing and Writing a Function Rule)3-2 Graphing Functions3-3 Linear or Non Linear Functions3-4 Exploring Linear Functions3-5 Equations of Linear Functions3-6 Graphs of Linear Functions3-7 Tables of Linear Functions3-8 Increasing, Decreasing, Max and Min3-9 Interpret the Rate of Change3-10 Contextualizing Function Qualities3-11 Sketching a Piecewise Function

### Unit 4 – Systems of Linear Equations

4-1 Graphing with Slope – Intercept Form4-2 Solving Systems by Graphing4-3 Solving Systems Using Substitution4-4 Solving Systems Using Elimination4-5 Solving Systems via Inspection4-6 Applications of Systems of Linear Equations

### Unit 5 – Patterns and Bivariate Data (Statistics)

5-1 Constructing Scatter Plots5-2 Analyzing Scatter Plots5-3 Linear or Nonlinear Correlation5-4 The Line of Best Fit5-5 Constructing a Two-Way Tables5-6 Interpret a Two-Way Tables

### Unit 6 – Congruency and Similarity

6-1 Identifying Transformations6-2 Constructing Rotations/Properties of Rotations6-3 Constructing Reflections/Properties of Reflections6-4 Constructing Translations/Properties of Translations6-5 Constructing Dilatations/Properties of Dilatations6-6 Identifying a Series and Determining Congruence or Similarity6-7 The Sum of Angles in a Triangle6-8 Similar Triangles6-9 Parallel Lines Cut by a Transversal

### Unit 7 – Geometry

7-1 Pythagorean Theorem and its Converse7-2 2D Applications of Pythagorean Theorem7-3 3D Applications of Pythagorean Theorem7-4 Pythagorean Theorem and Distance Between Points in a Coordinate System7-5 Volume of Cylinders, Cones, and Spheres7-6 Solving for a Missing Dimension7-7 Volume of Composite Shapes

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