For Colin Foster’s main website, click here.
50 Mathematics Lessons: Rich and Engaging Ideas for Secondary
Mathematics "This collection is a 'must have' for every teacher who wants to inspire students to be excited by mathematics, yet not stray too far from core topics. Every lesson contains key insights into mathematics, using ideas, links and contexts which are mysterious, fun, silly, bizarre, practical and historical." Anne Watson, Professor of Mathematics Education, Oxford University
“This is an excellent book, which no
mathematics department should be without. Its 50 selfcontained lessons offer
amusing, fascinating and mathematically worthwhile tasks which are supported
by excellent teacher notes. Most books are not worth recommending, but this
is different.” “A set of very good tasks indeed ... This is a great resource.” “The activities are very varied and very accessible to busy
teachers without being patronising in terms of their mathematical content ...
The book would make a very useful resource for teachers in a secondary school
or possibly even the top end of Key Stage 2.”

Extra materials described in the book are available under each lesson below.
1 
A Prime Example of A Code ·
a prime numbers code sheet: code
spreadsheet (see ‘alphabet’ sheet) ·
coded messages sheets: code
spreadsheet (see ‘code’ sheet) · a spreadsheet to help with coding: code spreadsheet (see ‘answers’ sheet)
· a program to make coding easy: click here to download

2 
A Single Fold 
3 
A Single Fold Again 
4 
Benford’s Law · a spreadsheet using data that does and doesn’t conform: verifying Benford’s Law

5 
Can We Play A Game? ·
an interactive version of the coin problem: http://nlvm.usu.edu/en/nav/frames_asid_139_g_3_t_2.html · a method for solving the coin problem in the smallest possible number of weighings: www.cuttheknot.org/blue/OddCoinProblems.shtml

6 
Catch 22 
7 
Colourful Expressions ·
a colour version of the table: colourful expressions 
8 
Coordinate Transformations 
9 
Digital Roots ·
a digital roots tables square: digital roots tables square · a sheet of 9point circles: 9point circles

10 
Dot To Dot 
11 
Every Number From One
Letter 
12 
Every Possible Answer ·
a spreadsheet calculator: every possible answer ·
a continued fraction calculator: www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/cfCALC.html 
13 
Farey Sequences 
14 
Fermi Questions 
15 
Fibonacci Grids ·
the starting grid: Fibonacci
grid ·
a spreadsheet to calculate other grids: Fibonacci boxes 
16 
Fractional Dice 
17 
Happy Days 
18 
Harshad Numbers ·
a spreadsheet generating Harshad numbers: spreadsheet 
19 
I Don’t Believe It! ·
a Word file containing the ‘claims’: I Don’t Believe It 
20 
If A Tree Falls In A Forest
... 
21 
In The Money ·
coin statistics: www.royalmint.com/RoyalMint/web/site/Corporate/Corp_british_coinage/CurrentSpecifications.asp 
22 
In The Money Again ·
coin statistics: www.royalmint.com/RoyalMint/web/site/Corporate/Corp_british_coinage/CurrentSpecifications.asp 
23 
It’s Snowing! ·
beautiful snowflakes: www.its.caltech.edu/~atomic/snowcrystals/photos/photos.htm ·
make your own snowflake: http://gwydir.demon.co.uk/jo/symmetry/snow.htm 
24 
LatticePoint Triangles · a spreadsheet calculator: area of triangle from coordinates

25 
Logarithmic Spirals ·
the starting shape: quadrilateral 
26 
Macfarlane’s Law 
27 
Meanness ·
the AlphabetCalculator program: click here to download 
28 
NinetyNine Zillion Gazillion ·
zooming in on the planet: http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/ 
29 
Odd One Out ·
a spreadsheet calculator: calculating
averages 
30 
One Of Our Vertices Is Missing! · a spreadsheet calculator: missing vertices

31 
One Straight Cut

32 
One Thousand Dice · pricing information: www.royalmail.com

33 
OneHundredAndTen Percent ·
the flow chart: percentages
flow diagram ·
the spreadsheet table of percentage changes: multipliers and what they do 
34 
Optical Illusions 1 ·
optical illusions: image file · many other optical illusions: www.keepmeamused.com

35 
Optical Illusions 2 ·
optical illusions: image file · many other optical illusions: www.keepmeamused.com

36 
Pieces of Chocolate

37 
Playing At Transformations

38 
Round The Back · a template for the arrow card: arrow on clock face

39 
Shapeshifters

40 
Sticky Polygons · a spreadsheet of results: sticky triangles

41 
Striking Angles

42 
Switching Switches

43 
That Wheeling Feeling

44 
The Bear’s Ring · a spreadsheet calculator: bearings and coordinates

45 
The Time Is ‘Right’ ·
a spreadsheet calculator: clock
angles · a sheet of blank clock faces: blank clocks

46 
Three Squares And A Triangle · masters for the shapes: 3 squares and a triangle

47 
Timber! · handy 4cm×4cm squared paper: squared paper

48 
Time To Reflect · a spreadsheet calculator: reflected time

49 
Tricky Triangles · the starting image: tricky triangles

50 
TwentyFour Square Centimetres 
All materials on this page are © C Foster 2007.