Videos

Video thumbnail for Art of Problem Solving Prealgebra: "Multiple" Facts
05:31
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Art of Problem Solving Prealgebra: "Multiple" Facts

Art of Problem Solving's Richard Rusczyk investigates what happens when you add, subtract, multiply, or divide two multiples of 7. Visit www.artofproblemsolving.com to learn more.
YouTube
· Jan 29, 2012
Video thumbnail for Art of Problem Solving: Simplifying Linear Expressions
04:50
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Art of Problem Solving: Simplifying Linear Expressions

Art of Problem Solving's Richard Rusczyk explains how to simplify one-variable expressions. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Dec 24, 2011
Video thumbnail for Art of Problem Solving: Introducing Ratios
05:56
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Art of Problem Solving: Introducing Ratios

Art of Problem Solving's Richard Rusczyk introduces ratios. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to_os 🖥️ ...
YouTube
· Dec 26, 2011
Video thumbnail for Art of Problem Solving: Subtraction Problems
05:25
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Art of Problem Solving: Subtraction Problems

Art of Problem Solving's Richard Rusczyk makes computation of long expressions involving subtraction easier. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving Prealgebra Math Curriculum FLIP-THROUGH
10:25
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Art of Problem Solving Prealgebra Math Curriculum FLIP-THROUGH

We have decided to switch to the Art of Problem Solving (AoPS) Prealgebra for 7th grade. This video is a flip-through of the AoPS Prealgebra math curriculum. *As an Amazon Associate, I may receive compensation from qualified purchases.* Art of Problem Solving Prealgebra https://amzn.to/3BNVfSG Art of Problem Solving Prealgebra Solutions Manual ...
YouTube
· Jun 15, 2023
Video thumbnail for Art of Problem Solving: Bar Charts and Pie Charts
08:09
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Art of Problem Solving: Bar Charts and Pie Charts

Art of Problem Solving's Richard Rusczyk tackles problems involving bar charts and pie charts. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1 ...
YouTube
· Apr 5, 2012
Video thumbnail for Art of Problem Solving: Percent Increase and Decrease Part 1
08:25
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Art of Problem Solving: Percent Increase and Decrease Part 1

Art of Problem Solving's Richard Rusczyk introduces percentage increases and decreases. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1 ...
YouTube
· Dec 20, 2011
Video thumbnail for Art of Problem Solving: Angles in a Parallelogram
05:50
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Art of Problem Solving: Angles in a Parallelogram

Art of Problem Solving's Richard Rusczyk explores the angles of a parallelogram. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to ...
YouTube
· Feb 18, 2012
Video thumbnail for Art of Problem Solving: Square Root Introduction Part 1
05:17
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Art of Problem Solving: Square Root Introduction Part 1

Art of Problem Solving's Richard Rusczyk introduces square roots. Love math? Learn more: http://bit.ly/ArtofProblemSolving
YouTube
· Jan 1, 2009
Video thumbnail for Art of Problem Solving: Using the Pythagorean Theorem Part 1
05:48
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Art of Problem Solving: Using the Pythagorean Theorem Part 1

Art of Problem Solving's Richard Rusczyk applies the Pythagorean Theorem to a few basic problems.
YouTube
· Jan 29, 2012
Video thumbnail for Art of Problem Solving: Solving Linear Inequalities
07:45
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Art of Problem Solving: Solving Linear Inequalities

Art of Problem Solving's Richard Rusczyk explains how to solve linear inequalities.
YouTube
· Dec 24, 2011
Video thumbnail for Art of Problem Solving: Ratios - Parts and Wholes
08:30
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Art of Problem Solving: Ratios - Parts and Wholes

Art of Problem Solving's Richard Rusczyk discusses ratios involving parts of a whole.
YouTube
· Dec 26, 2011
Video thumbnail for Art of Problem Solving: Introduction to Circles
06:40
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Art of Problem Solving: Introduction to Circles

Art of Problem Solving's Richard Rusczyk describes how to define a circle, and how to find the circumference of a circle. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium ...
YouTube
· Jan 11, 2012
Video thumbnail for Art of Problem Solving: Divisibility Rules for 3 and 9
07:27
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Art of Problem Solving: Divisibility Rules for 3 and 9

Art of Problem Solving's Richard Rusczyk discovers divisibility rules for 3 and 9. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 23, 2011
Video thumbnail for Art of Problem Solving: Commutative Property of Addition
02:04
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Art of Problem Solving: Commutative Property of Addition

Art of Problem Solving's Richard Rusczyk describes the commutative property of addition. Visit www.aops.com to learn more.
YouTube
· Jan 25, 2012
Video thumbnail for Art of Problem Solving: Sum the Numbers from 1 to 100
02:49
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Art of Problem Solving: Sum the Numbers from 1 to 100

Art of Problem Solving's Richard Rusczyk adds the numbers from 1 to 100... the fast way. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Jan 1, 2009
Video thumbnail for Art of Problem Solving: What's a Reciprocal?
07:13
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Art of Problem Solving: What's a Reciprocal?

Art of Problem Solving's Richard Rusczyk introduces reciprocals. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to_os 🖥️ AoPS ...
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Percent Introduction
08:15
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Art of Problem Solving: Percent Introduction

Art of Problem Solving's Richard Rusczyk introduces percents. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025_youtube_to_os 🖥 ...
YouTube
· Jan 29, 2012
Video thumbnail for Art of Problem Solving: Length and Perimeter
07:59
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Art of Problem Solving: Length and Perimeter

Art of Problem Solving's Richard Rusczyk tackles some problems involving length and perimeter.
YouTube
· Feb 21, 2012
Video thumbnail for Art of Problem Solving: Linear Equations with Fractions Part 2
05:43
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Art of Problem Solving: Linear Equations with Fractions Part 2

Art of Problem Solving's Richard Rusczyk tackles a couple more equations with fractions. This video is part of our AoPS Prealgebra and Algebra curriculums. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign ...
YouTube
· Jan 29, 2012
Video thumbnail for Art of Problem Solving: Introducing the Rhombus
08:24
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Art of Problem Solving: Introducing the Rhombus

Art of Problem Solving's Richard Rusczyk introduces the rhombus.
YouTube
· Feb 29, 2012
Video thumbnail for Art of Problem Solving: Angles Around a Point
02:27
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Art of Problem Solving: Angles Around a Point

Art of Problem Solving's Richard Rusczyk discusses relationships among angles around a point.
YouTube
· Dec 24, 2011
Video thumbnail for Art of Problem Solving: Factorial Introduction
12:27
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Art of Problem Solving: Factorial Introduction

Art of Problem Solving's Richard Rusczyk introduces 2-circle Venn diagrams, and using subtraction as a counting technique. This video is part of our AoPS curriculum. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm ...
YouTube
· Feb 16, 2012
Video thumbnail for Art of Problem Solving: Venn Diagrams with Two Categories
09:58
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Art of Problem Solving: Venn Diagrams with Two Categories

Art of Problem Solving's Richard Rusczyk introduces 2-circle Venn diagrams, and using subtraction as a counting technique. This video is part of our AoPS curriculum. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm ...
YouTube
· Jan 10, 2012
Video thumbnail for Art of Problem Solving: Introducing Division
07:07
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Art of Problem Solving: Introducing Division

Art of Problem Solving's Richard Rusczyk introduces a formal definition of division and works through a few examples. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Proportion
07:10
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Art of Problem Solving: Proportion

Art of Problem Solving's Richard Rusczyk introduces proportions.
YouTube
· Jan 4, 2012
Video thumbnail for Art of Problem Solving: Associative Property of Addition
03:10
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Art of Problem Solving: Associative Property of Addition

Art of Problem Solving's Richard Rusczyk explains the associative property of addition. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Classifying Quadrilaterals
09:44
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Art of Problem Solving: Classifying Quadrilaterals

Art of Problem Solving's Richard Rusczyk classifies some quadrilaterals.
YouTube
· Jan 1, 2009
Video thumbnail for Art of Problem Solving: Finding the Greatest Common Divisor
09:02
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Art of Problem Solving: Finding the Greatest Common Divisor

Art of Problem Solving's Richard Rusczyk explains how to use prime factorizations to find the greatest common divisor of two numbers. Visit www.artofproblemsolving.com to learn more.
YouTube
· Jan 31, 2012
Video thumbnail for Art of Problem Solving: Area Problem Solving Part 2
06:18
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Art of Problem Solving: Area Problem Solving Part 2

Art of Problem Solving's Richard Rusczyk tackles another challenging area word problem. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Dec 31, 2011
Video thumbnail for Art of Problem Solving: Testing if a Number is Prime
09:40
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Art of Problem Solving: Testing if a Number is Prime

Art of Problem Solving's Richard Rusczyk learns how to determine whether or not a number is prime. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 23, 2011
Video thumbnail for Art of Problem Solving: Least Common Multiple
06:57
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Art of Problem Solving: Least Common Multiple

Art of Problem Solving's Richard Rusczyk jumps and claps his way to the least common multiple of 24 and 45. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 23, 2011
Video thumbnail for Art of Problem Solving: Conversion Factors Part 1
08:07
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Art of Problem Solving: Conversion Factors Part 1

Art of Problem Solving's Richard Rusczyk introduces conversion factors.
YouTube
· Jan 4, 2012
Video thumbnail for Art of Problem Solving: Area of an Acute Triangle
08:22
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Art of Problem Solving: Area of an Acute Triangle

Art of Problem Solving's Richard Rusczyk discovers how to find the area of an acute triangle. This video is part of our AoPS Prealgebra curriculum. Take your math skills to the next level with our Prealgebra materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Dec 29, 2011
Video thumbnail for The Art of Problem Solving PreAlgebra | Secular Math Preview
11:12
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The Art of Problem Solving PreAlgebra | Secular Math Preview

We are using The Art of Problem Solving, Prealgebra for our 7th grade math curriculum. It is a very different curriculum than what I’ve seen before and I am excited to share this preview with you so you can take a look inside it.
YouTube
· Jul 29, 2021
Video thumbnail for Art of Problem Solving: Using the Pythagorean Theorem Part 2
08:44
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Art of Problem Solving: Using the Pythagorean Theorem Part 2

Art of Problem Solving's Richard Rusczyk tackles some problems using the Pythagorean Theorem.
YouTube
· Jan 21, 2012
Video thumbnail for Art of Problem Solving: Product of Powers
05:20
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Art of Problem Solving: Product of Powers

Art of Problem Solving's Richard Rusczyk investigates the product of powers with the same exponent. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Speed Problems Part 2
09:48
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Art of Problem Solving: Speed Problems Part 2

Art of Problem Solving's Richard Rusczyk tackles some problems involving speed.
YouTube
· Jan 4, 2012
Video thumbnail for Art of Problem Solving: 30-60-90 Triangles
12:42
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Art of Problem Solving: 30-60-90 Triangles

Art of Problem Solving's Richard Rusczyk discovers the relationships among the sides of a 30-60-90 triangle.
YouTube
· Jan 1, 2009
Video thumbnail for Art of Problem Solving: Counting is as Easy as 1, 2, 3
06:27
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Art of Problem Solving: Counting is as Easy as 1, 2, 3

Art of Problem Solving's Richard Rusczyk explores a convenient method for counting lists of consecutive integers. This video is part of our AoPS curriculum. Take your math skills to the next level with our advanced materials: 📚 AoPS Prealgebra Textbook: https://aops.com/store/book/prealgebra?utm_source=youtube&utm_medium=social&utm_campaign ...
YouTube
· Dec 21, 2011
Video thumbnail for Art of Problem Solving: Pythagorean Triple Warning!
04:13
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Art of Problem Solving: Pythagorean Triple Warning!

Art of Problem Solving's Richard Rusczyk(?) gives a warning about using Pythagorean triples without thinking about what you're doing.
YouTube
· Jan 25, 2012
Video thumbnail for Art of Problem Solving: Repeated Addition
01:49
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Art of Problem Solving: Repeated Addition

Why is it true that "repeated addition is multiplication"? Art of Problem Solving's Richard Rusczyk explains. Visit www.artofproblemsolving.com to learn more.
YouTube
· Dec 22, 2011
Video thumbnail for Art of Problem Solving: Reciprocals and Negative Exponents
03:57
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Art of Problem Solving: Reciprocals and Negative Exponents

Art of Problem Solving's Richard Rusczyk explores reciprocals and negative exponents. Visit www.artofproblemsolving.com to learn more.
YouTube
· Jan 29, 2012
Video thumbnail for Art of Problem Solving: Fraction Division
04:25
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Art of Problem Solving: Fraction Division

Art of Problem Solving's Richard Rusczyk explains how to divide by a fraction. Visit www.artofproblemsolving.com to learn more.
YouTube
· Jan 10, 2012
Video thumbnail for Art of Problem Solving: Venn Diagrams with Three Categories
12:09
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Art of Problem Solving: Venn Diagrams with Three Categories

Art of Problem Solving's Richard Rusczyk introduces 3-circle Venn diagrams as a counting technique. This video is part of our AoPS Counting & Probability curriculum. Take your math skills to the next level with our Counting & Probability materials: 📚 AoPS Introduction to Counting & Probability Textbook: https://aops.com/store/book/intro ...
YouTube
· Jan 1, 2009
Video thumbnail for Art of Problem Solving: Factoring Quadratics Part 1
10:30
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Art of Problem Solving: Factoring Quadratics Part 1

Art of Problem Solving's Richard Rusczyk explains how to factor quadratics of the form x^2 + bx + c.
YouTube
· May 6, 2012
Video thumbnail for Art of Problem Solving: Tackling Problems with Vieta
07:42
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Art of Problem Solving: Tackling Problems with Vieta

Art of Problem Solving's Richard Rusczyk uses Vieta's formulas for quadratics to tackle some challenging problems.
YouTube
· Aug 3, 2012
Video thumbnail for Art of Problem Solving: Systems of Linear Equations with Three Variables
08:23
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Art of Problem Solving: Systems of Linear Equations with Three Variables

Art of Problem Solving's Richard Rusczyk solves a system of three equations with three variables. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social&utm ...
YouTube
· Jan 1, 2009
Video thumbnail for Art of Problem Solving: Introduction to Graphing Circles
06:44
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Art of Problem Solving: Introduction to Graphing Circles

Art of Problem Solving's Richard Rusczyk gets us started with graphing circles in the coordinate plane. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social ...
YouTube
· Jan 9, 2025
Video thumbnail for Art of Problem Solving: Arithmetic Series Introduction
06:11
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Art of Problem Solving: Arithmetic Series Introduction

Art of Problem Solving's Richard Rusczyk examines sums of arithmetic series. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra materials: 📚 AoPS Introduction to Algebra Textbook: https://aops.com/store/book/intro-algebra?utm_source=youtube&utm_medium=social&utm_campaign=q1_2025 ...
YouTube
· Jan 9, 2025