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).

Jump to:

Chapter 1:The language of algebra
Chapter 2:Integers
Chapter 3:Solving one step equations
Chapter 4:Rational numbers
Chapter 5:Equations and inequalities
Chapter 6:Ratios and proportions
Chapter 7:Percent
Chapter 8:Geometry
Chapter 9:Pythagorean Theorem
Chapter 10:Probability
Chapter 11:Statistics

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.

Simplifying and Writing Expressions 1 length and perimeter
Simplifying and Writing Expressions 2 area
Factoring Linear Expressions using the distributive property backwards

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 Problems Using Equivalent Rates (review of a 6th grade topic)

Solving Proportions: Cross-Multiplying

Unit Rates

Proportional Relationships

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.

Cross-section Flyer
View cross sections when different solids are cut by a plane. You can rotate and move the cutting plane.
Sections of Prisms, Cylinders, Pyramids, and Cones
Drag the blue points to see the different cross-sections of various solids in an interactive manner.
Cross Sections of Solids
An article with animations and interactive tools showing many examples of cross-sections when a solid is cut with a plane.

Volume of prisms and cylinders