Math Curriculum Outline

Use this chart as a guideline to benchmark your math student's progress with a typical school-based math program. Although curricula varies between schools, this generally correlates to middle years or grades 5-9. In some cases, these topics represent high school/secondary math.

Lessons currently available are accessible via links. If a topic is not yet linked, check back as we add more lessons. You may also purchase all of the lessons in a unit as a bundle by clicking the unit title in the left column.

These lessons include sample questions for demonstration purposes, but students may require additional practice worksheets for mastery.

Unit One:

The Number System

1.1   Types of Numbers and the Number Line

1.2   Positive and Negative Numbers, Absolute Value

1.3   Finding Factors and Multiples

1.4   Fraction Operations: Add, Subtract, Multiply and Divide

1.5   Decimal Operations: Add, Subtract, Multiply and Divide

1.6   Positive and Negative Operations: Add, Subtract, Multiply and Divide

1.7   Inequalities

Unit Two:

Ratios, Proportions, and Percents

2.1   Ratios and Proportions

2.2   Unit Rate and Unit Price

2.3   Converting Measurements

2.4   Percent

2.5   Using Percentages: Taxes, Discounts, Gratuities and More

2.6  Understanding Interest Rates

2.7  Tables and Ratios

Unit Three:

Expressions and Equations

3.1  Expressions

3.2  Properties

3.3  Like Terms

3.4  Exponents

3.5  Order of Operations

3.6  Scientific Notation

3.7  Square and Cube Roots

3.8  Comparing Irrational Numbers

3.9  Equations and Variables

3.10 Solving Multistep Equations

3.11 Solving and Graphing Inequalities

Unit Four:


4.1  Introduction to Geometry

4.2  Angles

4.3  Quadrilaterals and Area

4.4  Triangles and Area

4.5  The Pythagorean Theorem

4.6  Circles, Circumference, and Area

4.7  Three-Dimensional Figures

4.8  Volume and Surface Area

4.9  Angles, Triangles, and Transversal Lines

4.10 Similar Figures and Scale Drawings

Unit Five:

Statistics and Probability

5.1  Introduction to Statistics

5.2  Measures of Central Tendency and Variation

5.3  Displaying Data

5.4  Probability

Unit Six:

The Coordinate Plane and Functions

6.1  The Coordinate Plane

6.2  Relations, Lines, and Functions

6.3  Slope

6.4  Linear Equations and Functions

6.5  Nonlinear Functions

6.6  Polygons and the Coordinate Plane

6.7  Proportional Relationships and Graphs