Pre-Algebra Curriculum Map

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Table of Contents

Pre-Algebra Curriculum Map

Pre-Algebra 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