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:
- The language of algebra
- Working with expressions
- Integers
- The simplest equations
- Rational numbers
- Solving linear equations
- Ratios and proportions
- Percent
- Geometry
- The Pythagorean Theorem
- Probability and 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.
The language of algebra
The topics below provide an foundation to principles used in algebra (and pre-algebra).
What are expressions & equations?
Working with expressions & equations
The commutative & associative properties
(The distributive property — simple version, for grade 6)
The distributive property — regular version, for grade 7 or pre-algebra
Growing patterns
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.
Working with expressions
Simplifying and writing expressions 1: length and perimeter
Simplifying and writing expressions 2: area
Factoring linear expressions: using the distributive property backwards
Integers
Introduction to integers - grades 6-7
Addition of integers - grades 7-9
Subtraction of integers - grades 7-9
Multiplication of integers - grades 7-9
Division of integers - grades 7-9
Lessons on integers: solved examples - grades 7-9
The simplest equations
Solving equations - beginner lesson - examples with a pan balance
Addition and subtraction equations
Multiplication and division equations
Writing simple equations for word problems
Rational numbers
Add & subtract negative fractions and decimals
Multiply negative fractions and decimals
Many operations with rationals, plus complex fractions
Simple equations involving decimals
Simple equations involving fractions
Simple equations involving percentages
Linear equations
Equations involving parentheses
How to use the formula for distance, rate (speed), and time to solve problems
Writing equations for word problems
Ratios and proportions
Unit rates and more about proportions
How to find the unit rate, including with fractions
Proportional relationship or not?
Scaling figures and the scale ratio
Percent
Percentage difference (relative difference)
Percent of increase/decrease: write an equation to solve for the original price
Geometry
These lessons belong to Math Mammoth Grade 7 / pre-algebra course. Other pre-algebra courses may cover different geometry topics.
Drawing geometric shapes with given conditions
Drawing triangles with given conditions
Pi and the circumference of a circle
How to calculate the area of a circle, plus simple proof for the formula
The Pythagorean Theorem
Equations that require taking a square root
Applications of the Pythagorean Theorem 1: area of an isosceles triangle
Applications of the Pythagorean Theorem 2: diagonal of a square
Applications of the Pythagorean Theorem 3: volume of a triangular prism
Applications of the Pythagorean Theorem 4: perimeter of a trapezoid
Probability and statistics
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
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