Pre-Algebra Curriculum Map

Click the links below to Download our Pre-Algebra Curriculum Maps with CCSS Standard Alignment

6th Grade Math Curriculum Map – with CCSS

Pre-Algebra 7th Grade Math Curriculum Map – with CCCS

PreAlgebra 8th Grade Math Curriculum – With CCSS

Table of Contents

6th Grade Math Curriculum Map

Pre-Algebra 7th Grade Math Curriculum Map

PreAlgebra 8th Grade Math Curriculum Map

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)
 
1-1 Rational Numbers
1-2 Operations with Rational Numbers
1-3 Converting Fractions and Decimals
1-4 Identifying Irrational Numbers
1-5 Properties of Irrational Numbers
1-6 Comparing and Ordering Irrational Numbers on a Number Line
1-7 Evaluation and Approximation of Square and Cube Roots
1-8 Negative Exponents
1-9 Negative Exponent Operations
1-10 Scientific Notation
1-11 Operations with Numbers in Scientific Notation
Unit 2 – Expressions and Equations
 
2-1 Expressions with Radicals Exponents.
2-2 Expressions with Integer Exponents.
2-3 Creating Linear Equations
2-4 Solving Equations with Variables on Both Sides
2-5 Solving Equations with Distributive Property
2-6 Solving Equations by Combining Like Term
2-7 One, Infinite, and No solutions of Equations
2-8 Solving Exponent Equations
Unit 3 – Linear and Functional Relationships (Functions)
 
3-1 Intro to Functions (Graphing and Writing a Function Rule)
3-2 Graphing Functions
3-3 Linear or Non Linear Functions
3-4 Exploring Linear Functions
3-5 Equations of Linear Functions
3-6 Graphs of Linear Functions
3-7 Tables of Linear Functions
3-8 Increasing, Decreasing, Max and Min
3-9 Interpret the Rate of Change
3-10 Contextualizing Function Qualities
3-11 Sketching a Piecewise Function
Unit 4 – Systems of Linear Equations
 
4-1 Graphing with Slope – Intercept Form
4-2 Solving Systems by Graphing
4-3 Solving Systems Using Substitution
4-4 Solving Systems Using Elimination
4-5 Solving Systems via Inspection
4-6 Applications of Systems of Linear Equations
Unit 5 – Patterns and Bivariate Data (Statistics)
 
5-1 Constructing Scatter Plots
5-2 Analyzing Scatter Plots
5-3 Linear or Nonlinear Correlation
5-4 The Line of Best Fit
5-5 Constructing a Two-Way Tables
5-6 Interpret a Two-Way Tables
 
Unit 6 – Congruency and Similarity
 
6-1 Identifying Transformations
6-2 Constructing Rotations/Properties of Rotations
6-3 Constructing Reflections/Properties of Reflections
6-4 Constructing Translations/Properties of Translations
6-5 Constructing Dilatations/Properties of Dilatations
6-6 Identifying a Series and Determining Congruence or Similarity
6-7 The Sum of Angles in a Triangle
6-8 Similar Triangles
6-9 Parallel Lines Cut by a Transversal
Unit 7 – Geometry
 
7-1 Pythagorean Theorem and its Converse
7-2 2D Applications of Pythagorean Theorem
7-3 3D Applications of Pythagorean Theorem
7-4 Pythagorean Theorem and Distance Between Points in a Coordinate System
7-5 Volume of Cylinders, Cones, and Spheres
7-6 Solving for a Missing Dimension
7-7 Volume of Composite Shapes