What do you notice?
To explain how the patterns of numbers arise:
Either multiply by (10 – 1) instead of multiplying by 9
or use the table below, first completing the calculations on each line.
When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.
Is it possible to draw a 6-pointed star in the same way […]
Now shift the 4 times table up 3 to give 7, 11, 15, 19, 23, … 83, 87, 91, …
Which tables were shifted to give the following sequences? By how much? Explain […]
The lattice points are where the lines intersect. How many interior lattice points do your lines go through?
Draw more grids. Before you draw the diagonals, can you predict how many lattice points they will go through? How do you know?
A point whose […]
The first player chooses a positive even number that is less than 50, and crosses it out on the 100 square grid.
The second player chooses a number to cross out. The number must be a factor or multiple of the previous number.
What patterns do you notice in this table?
Continue the patterns to fill the empty squares.
Write a list describing all the patterns that you see.
What do you notice about the numbers on squares of the same colour?
Would the patterns […]
Can you find the chosen number from this square using the clues below?
1. The number is odd.
2. It is a multiple of three.
3. It is smaller than 7 x 4.
4. It has an even tens digit.
5. It is the greater of the two possibilities.
How quickly can you find me?
The product of my digits is 225.
I am not a multiple of 5.
Am I a multiple of 13?
Am I real? Am I rational? Am I irrational?
Now divide me by 11. Is the answer real? […]
These counting games lead to an understanding of multiples and common multiples, number patterns and the Seive of Eratosthenes to find prime numbers.
Click here to download a pdf with all you need to run your own professional development workshop.
Explore the pattern you get when you carry on these multiplications up to 37 × 54.
Click here for the Notes […]