MATHCOUNTS MINIS

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MATHCOUNTS MINIS

A video resource created by Art of Problem Solving!

Richard Rusczyk—the founder of Art of Problem Solving (AoPS) and a MATHCOUNTS alumnus—spent over a decade creating 
100+ MATHCOUNTS Minis to support math team practices and club meetings! Minis are 20-45-minute lessons with videos and activity sheets that provide detailed explanations for MATHCOUNTS problems and their associated math concepts. 
Visit AoPS for many more educational resources.

Great Minis for At-Home Learners
triangle
Mini #11

Tangent Segments & Similar Triangles

lines of text
Mini #19

Turning Word Problems into Algebra Equations

right triangle
Mini #22

Geometry: 30-60-90 Right Triangles

pattern
Mini #29

Sequences, Series and Patterns

shortcut
Mini #32

Using Algebra and Number Sense as Shortcuts

triangle and circle
Mini #34

Geometry: Circles and Right Triangles

parabola
Mini #38

Solving Quadratic Equations Using Substitution Simplification

magnifying glass
Mini #57

Number Sense: Looking for Patterns

directional signs
Mini #64

More Than One Way to Solve a Problem

Division
Mini #75

Strategic Guessing Using Divisibility Rules

path
Mini #85

Counting Paths

Average
Mini #93

Sequences and Central Tendency

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MINI #1 (PART 1) - PROBABILITY/ROLLING DICE
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Easy
Video by Art of Problem Solving's Richard Rusczyk.
MINI #1 (PART 2) - PROBABILITY/ROLLING DICE
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Easy
Activity Duration:
20-30 minutes
Video by Art of Problem Solving's Richard Rusczyk.
MINI #2 - COUNTING METHODS/NUMBER OF ARRANGEMENTS
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Easy
Video by Art of Problem Solving's Richard Rusczyk.
MINI #3 - ARITHMETIC SEQUENCES/DETERMINING NTH TERM
Math Topic:
Sequences, Series and Patterns
Common Core State Standard:
F-BF.2
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
Mini #4 (Part 1) - Algebra/Manipulating Equations
Math Topic:
Algebraic Expressions and Equations
Common Core State Standard:
8.EE.8
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
Mini #4 (Part 2) - Algebra/Manipulating Equations
Math Topic:
Algebraic Expressions and Equations
Common Core State Standard:
6.EE.9
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #5 (PART 1) - PERFECT SQUARES/USING A SIMPLER CASE TO SOLVE A PROBLEM
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9, SMP
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #5 (PART 2) - PERFECT SQUARES/USING A SIMPLER CASE TO SOLVE A PROBLEM
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9, SMP
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #6 - MATHCOUNTS POSTER SOLUTIONS
Math Topic:
Measurement, Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Easy
Video by Art of Problem Solving's Richard Rusczyk.
MINI #7 - COUNTING/PATHS ALONG A GRID
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #8 - GEOMETRY/AUXILIARY LINES & SPECIAL RIGHT TRIANGLES
Math Topic:
Plane Geometry
Common Core State Standard:
7.G.5, G-SRT.6
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #9 (PART 1) - SEEING PATTERNS TO MAKE PROBLEMS EASIER
Math Topic:
Sequences, Series and Patterns
Common Core State Standard:
F-BF.2
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #9 (PART 2) - SEEING PATTERNS TO MAKE PROBLEMS EASIER
Math Topic:
Sequences, Series and Patterns
Common Core State Standard:
F-BF.2
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #10 - SQUARES OF BINOMIALS & WORKING WITH REPEATING DECIMALS AND RADICAL EXPRESSIONS
Math Topic:
Algebraic Expressions and Equations
Common Core State Standard:
A-CED.1
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #11 - TANGENT SEGMENTS & SIMILAR TRIANGLES
Math Topic:
Plane Geometry, Proportional Reasoning
Common Core State Standard:
7.G.4
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #12 - ARITHMETIC AND GEOMETRIC SEQUENCES
Math Topic:
Sequences, Series and Patterns
Common Core State Standard:
F-BF.2
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #13 - COUNTING THE NUMBER OF SUBSETS OF A SET
Math Topic:
Number Theory, Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #14 - NUMBER SENSE/RIDDLES WITH REMAINDERS AND PERFECT SQUARES
Math Topic:
Algebraic Expressions and Equations, Number Theory
Common Core State Standard:
SMP
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.