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Puzzles, Activities and Lesson Plans

Do you have ideas for other lessons, explorations or games to add to this list? We’d love to hear from you! Contact us at teachers@mathigon.org.

Ace in the Hole

Lesson PlanStudent ExplorationProbability

Balance Scale Polypads

Teaching IdeaVideoAlgebraArithmetic

Balance Scale Puzzle

Puzzle or GameStudent ExplorationNumber Theory

Billiard Table Problem

Lesson PlanGeometryNumber Theory

Bingo

Lesson PlanPuzzle or GameNumber TheoryProbability

Blockout

Puzzle or GameVideoGeometryNumber Theory

Brick Walls and Fibonacci

Student ExplorationNumber Theory

Building Tangram Puzzles

Lesson PlanGeometry

Class Openers and Math Talks

CollectionLesson PlanAlgebraArithmeticData and StatisticsFunctionsGeometryNumber TheoryProbability

Clock Angles

Lesson PlanArithmeticGeometry

Colour Mixing Fraction Bars

Teaching IdeaVideoAlgebraArithmetic

Common Factors

Teaching IdeaVideoArithmeticNumber Theory

Comparing Fractions Games

Lesson PlanPuzzle or GameTeaching IdeaArithmeticNumber Theory

Completing the Square

Lesson PlanAlgebra

Compound Probabilities

Teaching IdeaVideoProbability

Contribute New Tasks

Tutorial

Cover Up

Puzzle or GameArithmetic

Curry’s Paradox (Teacher Notes)

Teaching IdeaAlgebraGeometry

Curry’s Paradox

Student ExplorationAlgebraGeometry

Decimal Multiplication

Teaching IdeaArithmetic

Diagonals of Rectangles

Student ExplorationAlgebraGeometryNumber Theory

Divisibility by 9

Lesson PlanArithmeticNumber Theory

Don’t Break the Bank

Student ExplorationArithmetic

Doubling the Cube

Lesson PlanGeometryNumber Theory

Egyptian Fractions

Lesson PlanArithmeticNumber Theory

Equality with Number Bars

Student ExplorationTeaching IdeaArithmetic

Equivalent Fractions with Pattern Blocks

Lesson PlanArithmeticNumber Theory

Exploring the Pythagorean Theorem

Teaching IdeaGeometry

Exploring the Ratio of Surface Area to Volume in Cubes

Lesson PlanStudent ExplorationAlgebraGeometryNumber Theory

Exponential Decay with Dice

Student ExplorationAlgebra

Factoring Quadratics

Lesson PlanAlgebra

Factoring Quadratics Practice

Student ExplorationAlgebra

Finding Factors of Numbers in 3 Ways

Teaching IdeaVideoArithmeticNumber Theory

Five Platonic Solids

Lesson PlanGeometry

Fix This Chart

Lesson PlanData and Statistics

Flipping 3 Coins

Lesson PlanData and StatisticsProbability

Fractals

Lesson PlanAlgebraGeometryNumber Theory

Fraction Addition

Teaching IdeaVideoArithmetic

Fraction Bingo

Lesson PlanPuzzle or GameTeaching IdeaArithmetic

Fraction Division

Teaching IdeaArithmetic

Fraction Inequalities

Lesson PlanArithmeticNumber Theory

Fractions 1234 Game

Lesson PlanPuzzle or GameTeaching IdeaArithmeticNumber Theory

Galton Board

Student ExplorationProbability

Genius Square

Puzzle or GameGeometryProbability

Genius Star

Puzzle or GameGeometryProbability

Halving and Doubling

Teaching IdeaArithmetic

HEX Game

Puzzle or GameGeometry

Hexadecagons

Student ExplorationGeometry

Hinged Dissection

Lesson PlanGeometry

How many chairs around the table?

Student ExplorationAlgebraNumber Theory

How Many Dots?

Teaching IdeaNumber Theory

How many Rectangles?

Lesson PlanArithmeticNumber Theory

How Many Squares on a Checkerboard?

Student ExplorationAlgebraGeometryNumber Theory

Infinite Sums of Fractions

Lesson PlanStudent ExplorationNumber Theory

Integer Addition using Algebra Tiles

Teaching IdeaVideoAlgebraArithmetic

Kite Squares

Student ExplorationGeometry

Land Area and Water Area in the USA

Lesson PlanArithmeticData and Statistics

Magic Egg Tangram

Lesson PlanGeometry

Making Money

Lesson PlanArithmetic

Mean of a Data Set

Lesson PlanData and Statistics

Measures of Central Tendency and Rolling Dice

Student ExplorationTeaching IdeaArithmetic

Multiplication Table in Scale

Student ExplorationNumber Theory

Multiplying Probabilities

Teaching IdeaVideoProbability

Nets of a Cube

Lesson PlanStudent ExplorationGeometry

Number Bar 1-100 Trays

Teaching IdeaArithmetic

Number Bars and Fibonacci

Student ExplorationNumber Theory

Number of Diagonals

Student ExplorationAlgebraGeometry

Number Sequences

Lesson PlanAlgebraNumber Theory

Open Box Problem

Lesson PlanStudent ExplorationAlgebraFunctionsGeometry

Operations with Fractions using Pattern Blocks

Lesson PlanArithmeticNumber Theory

Overlapping Hands of a Clock

Lesson PlanAlgebraGeometryNumber Theory

Paths on a Grid

Student ExplorationGeometryNumber TheoryProbability

Pattern Blocks

Student ExplorationTeaching IdeaGeometry

Penrose Tilings and the Golden Ratio

Student ExplorationGeometry

Pentomino Perimeters

Lesson PlanGeometry

Pentomino Zoo

Puzzle or GameGeometry

Perceptions of Likeliness

Lesson PlanData and StatisticsProbability

Pi in Squares and Other Shapes

Student ExplorationGeometry

Pick’s Theorem

Student ExplorationAlgebraGeometry

Polypad 101: An Introduction

TutorialVideo

Polypad Examples

CollectionTeaching Idea

Polypad Templates

CollectionTeaching Idea

Polypads with Limited Tile Options

Video

Puzzle of the Day

Puzzle or GameGeometry

Puzzling Properties of Magic Squares

Student ExplorationAlgebraGeometry

Racial and Ethnic Diversity in the United States: 2010 Census and 2020 Census

Lesson PlanData and Statistics

Remainder Riddles

Lesson PlanArithmeticNumber Theory

Rhombic Dissection of Dodecagons

Student ExplorationGeometry

Save Twenty

Puzzle or GameStudent ExplorationArithmetic

Shapes Around a Vertex

Lesson PlanGeometry

Shut the Box

Puzzle or GameArithmetic

Simultaneous Equations

Lesson PlanAlgebra

Sphinx Tilings

Student ExplorationGeometry

Spidrons

Student ExplorationGeometry

Spiral of Theodorus

Lesson PlanGeometryNumber Theory

Split the Hexagon

Puzzle or GameStudent ExplorationGeometry

Square Areas on a Grid

Student ExplorationGeometry

String Art

Lesson PlanAlgebraGeometry

Tangram Coordinates

Lesson PlanGeometry

Taxicab Geometry Game

Puzzle or GameGeometry

Ten Take-Away

Teaching IdeaArithmetic

Tessellations

Lesson PlanStudent ExplorationGeometry

Tetromino Equations

Lesson PlanAlgebraArithmeticNumber Theory

Tetromino Reptiles

Lesson PlanGeometry

The Rectangle Game

Lesson PlanPuzzle or GameStudent ExplorationArithmeticNumber Theory

Trapezium Area

Student ExplorationGeometry

Using Polypad: Algebra

TutorialVideoAlgebra

Using Polypad: Fractions

TutorialVideoArithmetic

Using Polypad: Geometry

TutorialVideoGeometry

Using Polypad: Numbers

TutorialVideoArithmetic

Using Polypad: Probability and Data

TutorialVideoData and StatisticsProbability

Using Polypad: Tools and Axes

TutorialVideoAlgebra

Vaccine Efficacy

Student ExplorationArithmeticData and Statistics

Visual Patterns

CollectionLesson PlanTeaching IdeaAlgebraGeometry

What Made Me a Mathematician

Puzzle or GameStudent ExplorationGeometry

What Makes A Game Fair?

Student ExplorationAlgebraGeometry

What Type of Chart is Best?

Lesson PlanData and Statistics
Popular Courses
Intermediate – Circles and Pi
Spheres, Cones and Cylinders
Intermediate – Sequences and Patterns
Fibonacci Numbers
Intermediate – Graphs and Networks
The Bridges of Königsberg
Advanced – Fractals
The Mandelbrot Set