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...
Please choose a pre-algebra topic from the list below to view a video tutorial for that topic.
The topics below provide an foundation to principles used in algebra (and pre-algebra).
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
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.
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
Addition and Subtraction Equations
Multiplication and Division Equations
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
Using the Distributive Property
Using the Distributive Property, Part 2
Word Problems and Inequalities
Solving Problems: Using Equivalent Rates
Solving Basic Percent Problems
These lessons belong to Math Mammoth Grade 7 / pre-algebra course. Other pre-algebra courses may cover different geometry topics.
Proving the Formula for the Area of a CircleS
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
Equations that Involve Taking a Square Root
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
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
Review of Data Analysis, Part 1 histograms
Review of Data Analysis, Part 2 boxplots