This is a collection of free math videos for prealgebra 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 prealgebra 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 prealgebra).
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 prealgebra
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.
Simplifying and writing expressions 1: length and perimeter
Simplifying and writing expressions 2: area
Factoring linear expressions: using the distributive property backwards
Introduction to integers  grades 67
Addition of integers  grades 79
Subtraction of integers  grades 79
Multiplication of integers  grades 79
Division of integers  grades 79
Lessons on integers: solved examples  grades 79
Solving equations  beginner lesson  examples with a pan balance
Addition and subtraction equations
Multiplication and division equations
Writing simple equations for word problems
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
Equations involving parentheses
How to use the formula for distance, rate (speed), and time to solve problems
Writing equations for word problems
Unit rates and more about proportions
How to find the unit rate, including with fractions
Proportional relationships / Direct variation
Scaling figures and the scale ratio
Percentage difference (relative difference)
Percent of increase/decrease: write an equation to solve for the original price
These lessons belong to Math Mammoth Grade 7 / prealgebra course. Other prealgebra 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
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 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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