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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