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ClubMaths™

Mathematical activities providing high quality extension or enrichment materials for use in the secondary mathematics classroom or with a maths club, available as digital downloads.

ClubMaths™ activities

ClubMaths™ activities are designed for secondary mathematics teachers who need quality extension or enrichment materials, or who are looking for rich mathematical tasks. Each activity is on a well-researched mathematical theme and includes materials ready for use with pupils.

Unlike traditional sources of material, each issue of ClubMaths™ is self-contained and includes comprehensive support for the teacher in form of four pages of Teacher’s Notes.

Teachers are using ClubMaths™ to raise standards of achievement and to strengthen and develop the teaching of mathematics, for example with a maths club or for Gifted & Talented provision. The rich tasks may also be used as extension or enrichment material in the normal mathematics classroom.

ClubMaths™ activities are available as digital downloads in PDF format—ideal for printing or interactive whiteboard use.

A sample problem appears below. Visit the ClubMaths™ Gallery to see further samples of the activities and notes.

• ClubMaths™ Gallery
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“Being a language, mathematics may be used not only to inform but also, among other things, to seduce.”—Benoit Mandelbrot

What is included?

Each ClubMaths issue is packaged as a single PDF file and includes:

• enrichment activities ready for use with pupils
• Teacher's Notes, containing Hints and Tips, Answers and a Commentary on the activities, with further ideas, links and references
• a contents page, including a list of additional requirements and suggestions for organisation

You can see full-page samples of the activities and notes by going to the ClubMaths™ Gallery:

• ClubMaths™ Gallery

Sample problem

As an example to show what ClubMaths™ activities are like, here is one of the problems from an issue of ClubMaths™.

From ClubMaths™ 10: Symmetry Patterns
	Find the smallest number of counters that need to be added to create a pattern with a line of symmetry.

Who are ClubMaths™ activities for?

The activities are designed to be suitable for pupils aged 11 to 14, but teachers also use them in the mathematics classroom with other age groups, as maths enrichment or extension materials.

Many of the tasks are investigative in nature so that ClubMaths™ activities work well with pupils of varying abilities. Some of the tasks involve ideas of proof and all are a valuable resource for those learning the art of problem solving.

In each issue the tasks are graded in difficulty, which helps to ensure that there is something accessible to all.

• Teachers’ comments on ClubMaths™

How long do ClubMaths™ activities take to do?

A lot depends on the age and ability of the pupils. Most users find that there is enough material in the activities themselves to last for two sessions, sometimes more.

In addition the topics are rich in possibilities and include ideas and suggestions for follow-up activities in the Teacher's Notes, so that more can be gained from each issue.

• Feedback from users of ClubMaths™ activities

Purchase

Each issue of ClubMaths™ is available as a separate file for digital download at a price of £8.00. Any number of issues may be purchased together.

• You may buy now by credit card using PayPal. Just use the buttons below to add the issues you require to your shopping cart.
• Alternatively, you may prefer to complete an order form or send us your requirements by fax or e-mail.

By purchasing ClubMaths™ you agree to the terms of the licence provided on this page.

How do I get the files?

As soon as your payment is authorised you will receive full instructions for downloading the files. We will send a confirmation e-mail and you will also receive an invoice by post.

1. Trapezium Dissections

   Shape, Dissection

   • Dissecting a trapezium into a parallelogram.
   • Dissecting a trapezium into a triangle.

2. Sixteen Squares

   Spatial, Combinatorics

   • Arranging sixteen squares so that patterns occur in each row and column.
   • Arranging sixteen squares so that lines continue unbroken across the grid.

3. Sliding Coins

   Spatial, Logic

   • Changing one pattern into another on a triangular grid.
   • Changing one pattern into another on a square grid.

4. Strategy Games

   Strategy, Logic

   • Bachet’s game—taking counters from a pile.
   • A harder take-away game.

5. Card Tricks

   Logic

   • Three piles—dealing 21 cards into three piles three times.
   • Stacks—dealing 26 cards into stacks predicts a card.

6. Fold and Cut

   Spatial, Shape

   • Fold and cut a square; fold and cut a rhombus and kite.
   • Fold and cut a hexagon; fold and cut a pentagon, rectangle, isosceles triangle, trapezium and right-angled triangle.

7. Matchsticks

   Spatial, Logic

   • Removing matches from a 2 x 3 rectangular grid to leave squares.
   • Removing matches from a 3 x 3 square grid to leave squares.

8. Magic Octagrams

   Number

   • Panmagic octagrams.
   • Magic octagrams with given corner sum.

9. A Polyhedron Model without glue

   Shape, 3D

   • Polyhedron Instructions.
   • Polyhedron Template.

10. Symmetry Patterns

    Spatial, Logic

    • Adding counters to patterns to create line symmetry.
    • Adding counters to patterns to create rotational symmetry.

11. Triangular Solitaire

    Spatial, Logic

    • Peg solitaire on a triangular board with four hexagons along an edge.
    • Peg solitaire on a triangular board with five hexagons along an edge.

12. N-ominoes and Rectangles

    Shape, Combinatorics

    • Making rectangles with tetrominoes; making rectangles with hexominoes.
    • Making rectangles with 9-ominoes.

13. Primes and Sums

    Number

    • Placing numbers in a rectangular grid so that adjacent sums are prime.
    • Magic squares of primes; heterosquares of primes.

14. Dominono and Chomp

    Strategy

    • The game Dominono on small boards.
    • The game Chomp on small boards.

15. Square Flexagons

    Spatial

    • How to make a flexagon; how to flex a flexagon.
    • Flexagons A and B.
    • Flexagon C.
    • Flexagon D.

16. Division into Triangles

    Shape, Combinatorics

    • Dividing a triangle into triangles.
    • Dividing a square into triangles.

17. Folding Curves and Thirds

    Spatial

    • Folding a parabola; folding an ellipse.
    • Trisecting a rectangle by folding; trisecting an angle by folding.

18. Matchstick Triangles

    Shape, Combinatorics

    • Using matchsticks to make polyiamonds.
    • Using eighteen matchsticks to make arrangements of triangles.

19. Polyhedron Puzzles

    Shape, 3D

    • Fit three pyramids together to form a cube.
    • Fit four shapes together to form a tetrahedron.

20. Digits, Products and Squares

    Number

    • Problems involving digits, products and squares of whole numbers.
    • Using a rule to generate a sequence of numbers. 

21. Hexagon and Octagon Dissections

    Shape, Dissection

    • Two hexagons into a triangle; three hexagons into one; two hexagons into one.
    • One octagon into two; two octagons into one.

22. Rook's Tours

    Spatial, Logic, Combinatorics

    • Closed tours on rectangular boards with some squares removed.
    • Enumerating closed tours on rectangular boards.

23. Folding Stamps and Maps

    Spatial, Combinatorics

    • Possible orderings when a strip of stamps is folded.
    • Possible orderings when a rectangular map is folded in sections.

24. Polyiamonds

    Shape, Tiling, Combinatorics

    • Tetriamonds & Pentiamonds: making shapes; enumerating pentiamonds; tiling the plane.
    • Hexiamonds & Heptiamonds: enumerating hexiamonds; making shapes; tiling the plane.

25. Heads and Tails

    Spatial, Logic, Strategy

    • Transforming patterns by sliding pairs of coins; the game Dodgem
    • Turning over coins in a circle; the puzzle Blet.

26. Dots

    Spatial, Combinatorics, Strategy

    • Drawing a broken line through patterns of dots.
    • Tactics and strategy for the Dots and Boxes game.

27. Constructing Numbers

    Number, Fractions

    • Constructing numbers using four digits and the four arithmetic operations.
    • Egyptian Fractions: writing fractions as a sum of different unit fractions.

28. Chains and Jugs

    Logic

    • Joining and breaking pieces and closed loops of chain.
    • Measuring water and dividing milk using jugs.

29. Eight Tetrahedra

    Shape, 3D

    • The Compound of Eight Tetrahedra.
    • Tetrahedron with one dimple.
    • Tetrahedron with two dimples.

30. Neighbours

    Number, Logic

    • Odd Neighbours: placing counters in a grid.
    • Neighbour Puzzles: placing digits in a grid and removing counters from a grid.

© A K Jobbings 2004-2009