Middle School Curriculum

 

prealgebra 1

Algebraic Reasoning

  • Number and Patterns

  • Exponents

  • Order of Operations

  • Properties of Numbers

  • Evaluating Algebraic Expressions

  • Writing Algebraic Expressions

  • Equations and Their Solutions

  • Solving Equations By Subtracting

  • Solving Equations By Adding

  • Solving Equations By Dividing

  • Solving Equations By Multiplying

Integers

  • Introduction to Integers

  • Adding Integers

  • Subtracting Integers

  • Multiplying and Dividing Integers

  • Solving Equations Containing Integers

  • The Coordinate Plane

  • Equations in Two Variables

  • Graphing Equations

Number Theory and Fractions

  • Prime Factorization

  • Greatest Common Divisor

  • Least Common Multiple

  • Equivalent Fractions and Mixed Numbers

  • Equivalent Fractions and Decimals

  • Comparing and Ordering Rational Numbers

Operations and Rational Numbers

  • Estimating with Fractions

  • Adding and Subtracting Fractions

  • Adding and Subtracting Mixed Numbers

  • Multiplying Fractions and Mixed Numbers

  • Solving Equations Containing Fractions

  • Adding, Subtracting, and Multiplying Decimals

  • Dividing Decimals

  • Metric Measurements

  • Solving Equations Containing Decimals

Proportional Relationships

  • Ratios

  • Rates

  • Identifying and Writing Proportions

PreAlgebra 2

Principles of Algebra

  1. Evaluating Algebraic Expressions

  2. Writing Algebraic Expressions

  3. Integers and Absolute Value

  4. Adding Integers

  5. Subtracting Integers

  6. Multiplying and Dividing Integers

  7. Solving Equations By Adding or Subtracting

  8. Solving Equations By Multiplying or Dividing

  9. Solving Two-Step Equations

Rational Numbers

  1. Rational Numbers

  2. Comparing and Ordering Rational Numbers

  3. Adding and Subtracting Rational Numbers

  4. Multiplying Rational Numbers

  5. Dividing Rational Numbers

  6. Adding and Subtracting With Unlike Denominators

  7. One-Step Equations with Rational Numbers

  8. Two-Step Equations with Rational Numbers

Multi-Step equations and Inequalities

  1. Properties of Rational Numbers

  2. Simplifying Algebraic Expressions

  3. Solving Multi-Step Equations

  4. Solving Equations with Variables on Both Sides

  5. Inequalities

  6. Solving Inequalities by Adding or Subtracting

  7. Solving Inequalities by Multiplying or Dividing

  8. Solving Two-Step Inequalities

Exponents and Roots

  1. Exponents

  2. Integer Exponents

  3. Properties of Exponents

  4. Multiplying and Dividing Monomials

  5. Scientific Notation

  6. Squares and Square Roots

  7. Estimating Square Roots

  8. The Real Numbers

  9. The Pythagorean Theorem

Ratios, Proportions, and Similarity

  1. Ratios

  2. Rates and Unit Rates

  3. Proportions

  4. Dimensional Analysis

  5. Similar Figures

  6. Indirect Measurement

  7. Scale Drawings and Scale Models

Percents

  1. Relating Fractions, Decimals and Percents

  2. Estimating with Percents

  3. Finding Percents

  4. Finding a Number When the Percent Is Known

  5. Applying Percent of Increase and Decrease

  6. Commission, Sales Tax, Profit

  7. Applying Simple and Compound Interest

Graphs and Functions

  1. The Coordinate Plane

  2. Functions

  3. Graphing Linear Functions

  4. Graphing Quadratic Functions

  5. Cubic Functions

  6. Rate of Change and Slope

  7. Finding Slope of a Line

  8. Interpreting Graphs

  9. Direct Variation

Foundations of Geometry

  1. Points, Lines, Planes and Angles

  2. Geometric Relationships

  3. Angle Relationships

  4. Triangles

  5. Coordinate Geometry

  6. Congruent Polygons

  7. Transformations

  8. Tessellations

Two-Dimensional Geometry

  1. Perimeter and Area of Parallelograms

  2. Perimeter and Area of Triangles and Trapezoids

  3. Circles

  4. Circumference and Area

  5. Area of Composite Figures

  6. Area of Irregular Figures

Three-Dimensional Geometry

  1. Three-Dimensional Figures

  2. Volume of Prisms and Cylinders

  3. Volume of Pyramids and Cones

  4. Surface Area of Prisms and Cylinders

  5. Surface Area of Pyramids and Cones

ALGEBRA 1

Foundations of Algebra

  1. Variables and Expressions

  2. Adding and Subtracting Real Numbers

  3. Multiplying and Dividing Real Numbers

  4. Powers and Exponents

  5. Roots and Irrational Numbers

  6. Properties of Real Numbers

  7. Simplifying Expressions

Equations

  1. Solving One-Step Equations

  2. Solving Two-Step Equations

  3. Solving Multi-Step Equations

  4. Solving Equations with Variables on Both Sides

  5. Solving Proportions

  6. Solving Literal Equations for a Variable

  7. Solving Absolute-Value Equations

Inequalities

  1. Graphing and Writing Inequalities

  2. Solving Inequalities by Adding or Subtracting

  3. Solving Inequalities by Multiplying or Dividing

  4. Solving Two-Step and Multi-Step Inequalities

  5. Solving Inequalities with Variables on Both Sides

  6. Solving Compound Inequalities

  7. Solving Absolute-Value Inequalities

Functions

  1. Graphing Relationships

  2. Relations and Functions

  3. Writing Functions

  4. Scatter Plots and Trend Lines

  5. Arithmetic Sequences

Linear Functions

  1. Linear Equations and Functions

  2. Using Intercepts

  3. Slope

  4. Direct Variation

  5. Slope-Intercept Form

  6. Point-Slope Form

  7. Slopes of Parallel and Perpendicular Lines

System of Equations and Inequalities

  1. Solving Systems by Graphing

  2. Solving Systems by Substitution

  3. Solving Systems by Elimination

  4. Solving Special Systems

  5. Applying Systems

  6. Solving Linear Inequalities

  7. Solving System of Linear Inequalities

Exponents and Polynomials

  1. Integer Exponents

  2. Powers of 10 and Scientific Notation

  3. Multiplication Properties of Exponents

  4. Division Properties of Exponents

  5. Fractional Exponents

  6. Polynomials

  7. Adding and Subtracting Polynomials

  8. Multiplying Polynomials

  9. Special Products of Binomials

Factoring Polynomials

  1. Factors and Greatest Common Factors

  2. Factoring by GCF

  3. Factoring Special Products

  4. Choosing a Factoring Method

Quadratic Functions and Equations

  1. Quadratic Equations and Functions

  2. Characteristics of Quadratic Functions

  3. Graphing Quadratic Functions

  4. Solving Quadratic Equations by Graphing

  5. Solving Quadratic Equations by Factoring

  6. Solving Quadratic Equations by Using Square Roots

  7. Completing the Square

  8. The Quadratic Formula

  9. The Discriminant

Rational Functions and Equations

  1. Inverse Variation

  2. Rational Functions

  3. Simplifying Rational Expressions

  4. Multiplying and Dividing Rational Expressions

  5. Adding and Subtracting Rational Expressions

  6. Dividing Polynomials

  7. Solving Rational Equations

  8. Applying Rational Equations

Radical and Exponential Functions

  1. Square-Root Functions

  2. Radical Expressions

  3. Adding and Subtracting Radical Expressions

  4. Solving Radical Equations

  5. Geometric Sequences

  6. Exponential Functions

  7. Exponential Growth and Decay

  8. Linear, Quadratic and Exponential Models