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Free pre-algebra videos for middle school

This is a collection of free math videos for pre-algebra level (middle school), showing varied exercises for each topic. They match Math Mammoth Grade 7 curriculum but will also work no matter which curriculum you follow (in other words, the videos don't rely on you having Math Mammoth curriculum).

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These videos are usable for students, teachers, and parents. You can use them...

  • To learn these topics yourself (if you're a student for example, or an adult needing a refresher)
  • As lesson plans for teaching these topics. Often, one video from below can be made into several lessons with students.

Please choose a pre-algebra topic from the list below to view a video tutorial for that topic.


Chapter 1: The Language of Algebra

The topics below provide an foundation to principles used in algebra (and pre-algebra).

The Order of Operations

Expressions and Equations, Part 1

Expressions and Equations, Part 2

If you struggle with expressions, the following videos from grade 6 can help, also.

Properties of the Four Operations

The Distributive Property — simple version, for grade 6

The Distributive Property — regular version, for grade 7 or pre-algebra


Growing Patterns 1

I have not made video lessons for growing patterns, but you can use this Youtube video for starters.

The other two I list below give a very mechanical way of approaching these types of pattern problems, where you don't have to think so much — but the method explained works always, so it can be helpful, especially if such a problem is expected to be on a standardized test:

However, my goal in putting the growing pattern problems in Math Mammoth Grade 7 is NOT to teach students a mechanical way, but just give them some exposure to thinking of different ways to SEE the pattern, and then try to express it using symbols. So there is no need to learn the mechanical way.


Chapter 2: Integers

Introduction - grades 6-7

Addition of Integers - grades 7-9

Subtraction of Integers - grades 7-9

Multiplying Integers - grades 7-9

Dividing Integers - grades 7-9

Lessons on Integers: solved examples - grades 7-9


Chapter 3: Solving One–Step Equations

Solving Equations

Addition and Subtraction Equations

Multiplication and Division Equations

Word Problems

Constant Speed


Chapter 4: Rational Numbers

Rational Numbers, Part 1

Rational Numbers, Part 2 convert fractions to decimals

Adding and Subtracting Rational Numbers

Multiply and Divide Rational Numbers 1

Multiply and Divide Rational Numbers 2

Many Operations with Rational Numbers

Many Operations with Rational Numbers, Part 2 – unit rate word problem

Equations with Fractions

Equations with Decimals

Percent Equations


Chapter 5: Linear Equations

Two-Step Equations

A Variable on Both Sides

Using the Distributive Property

Using the Distributive Property, Part 2

Word Problems

Word Problems and Inequalities

Graphing

An Introduction to Slope


Chapter 6: Ratios and Proportions

Solving Proportions

More on Proportions

Unit Rates

Solving Problems: Using Equivalent Rates

Proportional Relationship

Scaling Figures

Floor Plans

Maps


Chapter 7: Percent

Solving Basic Percent Problems

Percent Equations

Simple Interest

Percentage of Change

Percentage Difference


Chapter 8: Geometry

These lessons belong to Math Mammoth Grade 7 / pre-algebra course. Other pre-algebra courses may cover different geometry topics.

Angle Relationships

Angles in a Triangle

Drawing Problems, Part 1

Drawing Problems, Part 2

Circumference of a Circle

Proving the Formula for the Area of a CircleS

Surface Area

Slicing Three-Dimensional Shapes
For this topic, hands-on experiences and/or interactive tools are far better than watching videos. Please use some of the free tools listed below.

Volume of prisms and cylinders


Chapter9: The Pythagorean Theorem

Square Roots

Equations that Involve Taking a Square Root

The Pythagorean Theorem

The Pythagorean Theorem: Applications 1 area of an isoseles triangle

The Pythagorean Theorem: Applications 2 diagonal of a square

The Pythagorean Theorem: Applications 3 volume of a triangular prism

The Pythagorean Theorem: Applications 4 perimeter of a trapezoid


Chapter 10: Probability

Introduction

Probability of Compound Events list the outcomes, draw a tree diagram

Practice Problems for Probability of Compound Events

See also: Free Probability Simulations for 7th Grade


Chapter 11: Statistics

Review of Data Analysis, Part 1 histograms

Review of Data Analysis, Part 2 boxplots

Random Sampling

Using Random Sampling

Comparing Two Populations



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