I provide comprehensive worksheets to revise a particular topic (always with answers included) as well as extension materials, for pupils ranging from age about 11 to 16+.
All of my premium resources have a UK and US version.
I provide comprehensive worksheets to revise a particular topic (always with answers included) as well as extension materials, for pupils ranging from age about 11 to 16+.
All of my premium resources have a UK and US version.
A set of five harder problems about finding the mean which involve pupils using the fact that the total is the number of data points times the mean (or using algebra).
Provided with solutions.
A set of 13 practice assessments covering all aspects of the National 5 Course. Each one is laid out with space for write-on answers, and provided with solutions.
Edit: Added assessments 14-17
Two extra tasks for pupils doing the Higher Statistics Module.
Task 1 is using Excel to analyse some Covid infection data using regression analysis. This has example solutions inline.
Task 2 is conducting a survey . Included are example model solutions…
A teacher-led Powerpoint investigation into randomness to be done at the end of a topic about probability. The five short topics are
Pick a random number
Heads and Tails experiment
Lottery Random numbers
Digits of Pi
What is randomness?
The aim is for pupils to understand that ‘random’ isn’t truly random after all!
These two activities extend from 3 by 3 to 4 by 4 magic squares. Pupils design an individual magic square then search for groups of four numbes that add up to 34 (there are lots).
Good practice with simple addition and subtraction strengthening number bonds, then for more advanced pupils using algebra to get a more general solution
Edit: Added a bank of more 4 by 4 magic squares that pupils can use to find more groups of 34
Duality is an important concept in understanding mathematical problems. Sometimes a problem can be ‘reveresed’ by considering it’s dual, for example swapping around lines and points in a triangle.
This Powerpoint looks at how duality appears in the following contexts
division and subtraction
2D shapes and 3D shapes
2D graphs including the Fano Plane
Magic Squares are just the beginning!
A Latin square is a grid where each symbol appears exactly once in each row a column - recognisable to most pupils as being like a Su Doku.
This resources extends that idea to look at double and further Latin Squares. These are useful for many things (see e.g. my other resource on Dobble)
A colourful poweroint introducing a new idea for most pupils.
In standard 2D geometry parallel lines never meet. In projective geometry we add an extra point (infinity) where the lines meet. This turns out to be useful for various problems (e.g. see my other resource on Dobble).
Two worksheets, testing basic probability with dice, coloured balls and letters. The second worksheet is more difficult and introduces sampling with and without replacement.
Full solutions included.
Edit: May 2023 fixed question numbering
Edit: July 2024 added a Powerpoint for finding the probability with two events, explaining when to add and when to multiply the two probabilities
A Powerpoint with the classic Monty Hall Problem, then variations with
a multiple choice questions
one hundred doors
ten prisoners
Solutions in the notes at the bottom of the Powerpoint slides
A Powerpoint introducing the following tricky problems for pupils to think about.
-99 Coins
100 Seats on a Plane
Special dice
Expected wait time
Pascal’s Wager
Solutions in the notes at the bottom on the Powerpoint
See also my resource on Monty Hall Problems
A Powerpoint introducing the basic game of Dobble, then delving deeply into how to arrange the symbols on the cards so that each pair of cards matches exactly once.
Pupils will be able to make their own mini Dobble sets, with 7, 13, 21 or even up to the full 55 card set.
This introduces uses the following areas of mathematics
2D geometry of lines and planes
Magic squares and Latin squares
