Free pre-algebra videos for middle school

This is a collection of free math videos for grade 7/pre-algebra (middle school), showing varied exercises for each topic. They match the 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 the 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 topic from the list below.

Chapter 1: The Language of Algebra

These topics provide foundation principles for our algebra studies.

If you struggle with expressions, these 6th grade videos can help.

The Order of Operations
Expressions and Equations, Part 1
Expressions and Equations, Part 2
Properties of the Four Operations
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:
- https://www.youtube.com/watch?v=lV9faVLuUfo
- https://www.youtube.com/watch?v=NBAcwrD7KaU
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.
The Distributive Property

Chapter 2: Integers

Introduction

Addition of Integers

Subtraction of Integers

Multiplying Integers

Dividing Integers

Lessons on Integers: solved examples

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 (repeating 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

Proportion Word Problem

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