Investigations
= difficulty rating
Paper folding to the moon
"How many times would you need to fold a piece of paper to reach the moon?"

Metric conversions

Standard form

Exponential growth
Tiling
Students investigate the number of each type of tile spacer they will need when tiling a floor. They start of looking at squares then move onto rectangles. They they "pattern sniff" or  if they are more competent with sequences  they can try and find the nth term for the number of each type needed for any size floor!

Sequences

nth term

Square numbers
£10k a day or invest 1p?
Would you rather have £10,000 a day in for the next 31 days building up in your bank account or put 1p in the bank that turns into 2p the second day, then 4p, then 8p... etc for 31 days?

Geometric sequences
The fly vs the spider
What is the shortest distance that the spider must travel along the sides of the glass tank in order to reach the fly?

Pythagoras' theorem in 3D

Nets
Castles
Students add two adjacent bricks to find the value of the brick on the top of them.
Using the numbers 1 to 5, which of the castles 5059 is impossible? What is the smallest castle you can make? What is the largest? What do you notice about how the numbers on the bottom level are arranged? Create as many different castle 40's as you can.

Basic addition and subtraction

Commutativity

Negative numbers

Algebra
Jumping Frogs
The classic puzzle! Students record the number of moves it takes to swap over the red and yellow frogs. They also record the number of slides and the number of jumps and find the nth term for these! But this takes it a step further! What if the number of yellow and red frogs wasn't the same?

Sequences

nth term

Square numbers
Pythagorean shoe laces
Which of these lace patterns would use the smallest length of lace?
What about when we vary the number of holes or the distance between the gaps?
Is there a general formula for each one?

Pythagoras' theorem

Forming formulae
Peter Kay vs Peter Crouch
Which would you rather have:
Peter Kay's weight in pennies or Peter Crouch's height in pound coins?

Metric and imperial conversions
PowerPoint Handouts
Cylindrical Soup
Which shape of container is the best to contain soup in?

Volume of prisms

Surface area of prisms

Finding missing side lengths when given volume of a prism
Coming soon
Pentominoes
Students have to find all 12 possible pentominoes first, considering that reflections and rotations are congruent pentominoes.
They then complete three puzzles with the pentominoes  fit them into a rectangle,fit them into a square and create the largest possible area with them!

Congruence

Area of shapes by counting squares
PowerPoint Handouts
Coming soon
How dense is a Malteser?
We've seen the adverts of people blowing them into the air and there's actually a Guinness world record for it! So exactly how dense are they?

Volume of a sphere

Density, Mass and Volume
PowerPoint Handouts
Coming soon
Up and down staircases
Investigate the relationship between the number of cubes needed to make different staircases.

Sequences

Square numbers

Isometric drawing
PowerPoint Handouts