Teacher's Resources and Links for Let's Play Mathematics

To support Let's Play Mathematics - Teacher's Edition, we have prepared a download with all links to supporting resources organised by topic in the order of the book.

Use the links below or download it free of charge here.

 

44 Games with different versions of each game for every age group

to Put the Pedagogy of Learning Through Play into Practice for Mathematics

                                                  Harvard University Project Zero       Pedagogy of Play Book

 

Some of the games and learning activities in this book have been adapted from NRICH tasks with permission of the NRICH project at the University of Cambridge (https://nrich.maths.org). All rights reserved.

 GAMES LINKS, RELATED CURRICULUM  DOWNLOADS                               FOLLOW UP & RESOURCES

SECTION 1 NUMBER (includes pre-algebraic thinking for young learners)

N1. Spin High Low & Less is More

Place value, inequalities

Spin High Spin Low Game

Download The Spin High Spin Low Poster.

Less Is More on NRICH

More Less Is More on NRICH

Watch  the CPD video Let’s Play Mathematically

Problems involving inequalities suitable for Upper Secondary.

Farey Sequences                    

Almost Total Inequality    

N2. Target Games Collection

Calculation methods for whole numbers and algebra

Target Game Collection

Cards for Target Game with Integers

Download the Target Game Collection Poster

Watch the CPD video Target Games

N3. Integers Games

Calculations with integers

Target Game with Integers

Download The Target Game of Integers Poster

See https://en.wikipedia.org/wiki/Negative_number

Follow-up: Extremes

N4. Tug of War

Number line, calculations with integers

Tug of War Game++

Strip to Play Tug of War on.

Download The Tug of War Poster

Watch the CPD video What are Numbers?

N5. Divisibility

Factors, Exponents, Prime factorisation.

Divisibility Game

Divisibility Gameboard.

Download The Divisibility Game Poster

Divisibility Game

Watch the CPD video How Many Factors

Guide for a CPD workshop on: The Meaning of Division

Article by Tim Rowland Tests For Divisibility

Follow-up  Prime Sieve   

Exponents

Powerful Thinking 1,  2, 3 and 4

N6. Checkit Games Collection

Calculations and Binary operations, including algebra

Checkit Game

Checkit Starter Games for 2 Players or Teams Poster

Checkit Game – 4 Operations and Inverses

Tailor Your Own Checkit Poster

Checkit Game Quadratic Factorisation Poster.

Checkit Match Letters Poster

Watch the CPD video Combining 3 numbers -Polycircles, Triangle Midpoints and Checkit.

Polycircles

Triangle Midpoints

N7. Fraction Wall Games

Comparison of fractions. Calculations with fractions

Fraction Wall Games

Selection of Fraction Walls

Algebraic Fraction Wall

Download The Fraction Wall 1 in 10 Game Poster.

 

Follow-up:

Primary   Chocolate Fractions

Fractions By Halves   Fractions By Thirds   Tangram Fractions

Lower Secondary   Divide Divide         Repetition

Egyptian Fractions          The Greedy Algorithm

Upper Secondary    Peaches       GP Algebraically                             GP Geometrically

N8. FDP Pelmathism

Fractions, Decimals and Percentages

Pelmathism Game

Sets Of Cards for FDPI Pelmathism

Pelmathism Poster

Download Sheets of Cards, Print onto Card and Cut Out.

·         Blank Cards To Make Your Own Game

·         One To Eight Memory Game For Early Years

·         Addition Memory Game For Lower Primary

·         Game 1 FI - Fractions and Images

·         Game 2 FD - Fractions and Decimals

·         Game 3 DI - Decimals and Images

·         Game 4 FP - Fractions and Percentages

·         Game 5 FI - Percentages and Images

·         Game 6 DP - Decimals and Percentages

·         Game 7 FDPI - Fractions, Decimals, Percentages and Images

Guide for a CPD workshop on:

Fractions, Decimals and Percentages

 

N9. Telling the Time Pelmathism

Telling the Time

4 sets of cards showing time in different ways.

Telling The Time- Card Matching & Pelmathism Poster

Guide for a CPD Workshop on: Time

Time 1              Time 2                 Time 3

 

N10. Exponents Pelmathism

Exponents (powers or indices)

Exponents, Card Matching and Pelmathism

Exponents Card Set

Exponents Poster

Guide for a CPD Workshop on: Exponents and Surds

Power Matching

Download The Power Matching Puzzle Poster.

Powerful Thinking 1      2      3      4

Powerful Numbers Poster

N11. Mathgo

+ - × ÷  of numbers 1 to 6. Strategic thinking.

Mathgo

Download The Mathgo Poster.

 

Fifteen Game

Addition numbers 1 to 9. Strategic thinking. Isomorphism.

https://aiminghigh.aimssec.ac.za/fifteen-game-collection/

Download the Fifteen Game Poster

Watch the GTEN video Fifteen Game Collection

Magic Square

Addition numbers 1 to 9. Strategic thinking. Visualisation

Magic Square Game

Download The Magic Square Game Poster

Download The Magic and Unmagic Squares Puzzles Poster

See also Durer’s Magic Square

         Laflot

Word game. Strategic thinking. Isomorphism.

Laflot Game

Laflot Cards

Laflot Poster

 

         Siege

Addition numbers 1 to 9. Strategic thinking. Visualisation

Siege Game

Siege Game Map

Download the Siege Game Poster

 

         Ultimate Tic Tac Toe

Game of strategy. Nine games played simultaneously.

Ultimate Tic Tac Toe Game

Download The Ultimate Tic Tac Toe Poster

 

 

SECTION 2 ALGEBRA AND CALCULUS

A1. Frogs Games

Number patterns. Finding formula defining sequences.

Frogs Game

Cards, Tribar and Triangles for Frogs Game

Find The Frogs Formula Poster

Guide for a CPD workshop on: Sequences and Patterns

Equipattern

Squares Pattern

A2. Groups Games

Reading information from tables. Groups.Transformations

Groups Games

Download The Gameboards and Key-Tables

Download The Groups Games Poster.

Watch the CPD video What are Numbers?

A3. Functions Game

Functions and inverse functions.

The Function Game

Functions Game Poster

Shifting Times Tables               Mind Reader 

Steps           Building Functions

Undoing 

A4. Algebrarea Puzzle and Game

Factorising quadratic expressions. Graphs

Algebrarea Game    

Algebrarea Starter Puzzle

Algebrarea Puzzle Pieces

Download The Algebrarea Poster.

Guide for a CPD workshop on: Developing Algebraic Skills

Watch the CPD video Quadratic Functions

 

The Quadratic Matching Cards and Game have been adapted from the STANDARDS UNIT professional development materials produced by the UK Department for Education and Skills. Author Malcolm Swan

A5. Multiple Representations Pelmathism

Multiple representations of algebraic functions. Graphs.

Multiple Representations

Small cards

Big Cards

Record Sheet

Download The Multiple Representations Poster.

Lines

Quadratic Matching 1    Quadratic Matching 2

Quadratic Functions

Matching Exponentials

Matching Hyperbolas

Transformation of Functions

A6  Derivatives Pelmathism

Functions and derivatives

Derivative Card Matching & Pelmathism

Cards For Derivative Matching

Derivative Card Matching & Pelmathism Poster

D’riving

 

 SECTION 3 GEOMETRY

G1. Squares

Properties of squares, area, angles.

Squares Game

More grids to play on.

Download a sheet of 3 by 3 grids or 4 by 4 or 5 by 5 grids.

Download the Squares Game poster.

Watch the CPD video Squares Games, Puzzles and Pythagoras Theorem

Play against the computer on NRICH

How Many Squares?

 

 

G2. Rollover

Visualisation. Rotations in 3D.

Rollover Game

Rollover tiles and net for Tetrahedral Dice

Rollover Games Poster.

 

G3. Polystars

Latin Squares and combinatorics. Regular polygons.

Polystars Game         

Download The Polystars Gameboards and Pieces

Polystars Poster.

Teddy Town on NRICH

G4. Polypath

Recognising 2D and 3D shapes

Polypath

Gameboards and prompt sheet.

Making Triangles    leads to    Tet Trouble

Dodecamagic

 

G5. Mystic Rose

Visualisation.

Mystic Rose Game

Download The Mystic Rose Game Poster.

Watch the CPD video Path to the Stars

Path to the Stars learning activity.

G6. Vectors

Moving on a torus according to 2D vectors.

Vectors Game

Download the gameboard and rules.

Download The Vectors Game Poster

 

G7. L Game

Reflections, rotations and trapping the opponent.

L Game

Game Board and Game Pieces for The L Game

Download The L GAME Poster.                                                       

Wikipedia Article L Game

Edward de Bono invented the L game. See his videos, for example How to have a Beautiful Mind.

 

SECTION 4 PROBABILITY AND STATISTICS

P1. Horserace Game

First introduction to probability and contingency tables.

Horse Race Game

Download the Horse Race gameboard

Download The Horserace Game Poster.

Guide for a CPD workshop on:

Contingency Tables and Venn Diagrams

P2. Sum Difference Game

Counting events in a sample space, probabilities 2 events.

Sum Difference Game

Download The Sum Difference Games Poster

 

P3. Game of Pig

Addition and subtraction. Estimating probabilities

Game of Pig

Download a Gameboard

Game of Pig Poster.

 

P4. Red or Black

Easy game. Mainly luck. Some probability involved.

Red or Black Game

Red or Black Game Poster.

 

P5. Odds and Colours Games

Contingency tables. Fair games conditions. Isomorphism.

Odds and Colours Games

Run 100 Trials of Odds and Evens Game Online at NRICH

Download The Isomorphic Games Poster.

Guide for CPD workshop on: Problems Leading to Series

Watch the CPD video Odds & Evens, Red & Blue Games

P6. Rock Scissors Paper

Extensions to 5 & 7 actions. Contingency tables and cycles.

Rock Scissors Paper Game

Rock Scissors Paper 5 And 7 Elements Networks.

Guide for CPD workshop on: Probability and Tree Diagrams

Contingency Tables and Venn Diagrams

Watch the CPD video

Trees, Contingency Tables and Venn Diagrams

P7. Lucky Numbers

Tree diagrams and calculating probabilities.

Lucky Numbers Game

Download The Lucky Numbers Games Poster

Guide to CPD video on:

Watch the CPD video Lucky Numbers and Lotteries

P8. Mathopia Lottery

Tree diagrams, probabilities simulating National Lotteries

Mathopia Lottery Game

Download Cards for The Mathopia Lottery

Download The Mathopia Lottery Game Poster.

More learning activities involving tree diagrams:

Same Sweets      Same Birth Month       Same Birthday

Epidemic

P9. Mean Median Mode Game

Averages.

Mean Median Mode Game

For a variant see Unequal Averages on NRICH

Download the M, M and M Game poster

Watch the CPD video Mean Median and Mode

 

SECTION 5 GAMES FOR CLUBS

C1. Draw and Talk

Visualisation, communication and enrichment.

Draw And Talk Game

Download the cards to print, cut out and to play the game.

 

C2. Five in a Line

Game of strategy.

Five in a Line Game

Download the Five in a Line worksheet and gameboard

Download The Five In A Line Poster.

 

 

C3. Nine Men’s Morris

Game of strategy, blocking opponent & capturing pieces.

Nine Mens Morris Game

Gameboards For Nine Mens Morris

Download The Nine Mens Morris Poster.

Wikipedia article Nine Mens Morris

Toy Theatre Games Collection

 

C4. Seega

Game of strategy, blocking opponent & capturing pieces.

Seega

Gameboards for Seega, Jump and Derrah

Seega Poster

Wikipedia article Seega Game

C5. Senet

Game of strategy from Ancient Egypt. Blocking opponent

Senet

Download a Senet Gameboard and Game Pieces.

Download The Senet Poster.

 The Rammuseum Make and Play Senet

Raven’s table You Tube History and Rules for SENET

 

C6. Nim games

Game of strategy analysed using binary arithmetic.

Nim Games

Download The Nim Games Poster.

Article explaining how binary numbers are the key to winning Nim Games Play to Win with Nim

 

 

MORE GAMES & RESOURCES

 

Factors and Multiples

Factors and multiples

Factors and Multiple Game

Download The Factors and Multiples Game Poster

Watch the CPD video How Many Factors?

Prime Sieve               How Many Factors?

Loading Lorries        Magic of 37

In a Box game

Contingency tables. Fair games conditions. Isomorphism.

In a Box Game

Download The In a Box Game Poster.

 

Blocks game

Cuboids. Volume

Blocks Bricks and Boxes Game

Download The Blocks Game Poster

Watch the CPD video Volume and Capacity

Cuboids and Smallest Surface Area     Cuboids and Roots

Same Volume           Maxbox

Tangram Fractions game

Fractions

Tangram Fractions Game

Tangram Fractions Poster

Watch the CPD video Tangram Geometry

Tangram Shapes          Tangram Pattern

Magic Egg Tangram Puzzle

 

 

The Mathematical Playground MATHIGON

Julia Robinson MATHEMATICS FESTIVAL  

Wikipedia HISTORY OF GAMES  

MacTutor HISTORY OF MATHEMATICS

MacTutor Biography of Edouard Lucas

 

Online Dice Roller

 

Wikipedia LIST OF DICE GAMES