Package 3-1 Factor squares
In this task students will investigate factors to solve a problem.
Things you need
Have these things available so your child can complete this task.
24 pencils or sticks
Before you start
You will need a large table or floor space to spread the toothpicks out.
What your child needs to know and do
Students will need to know how to count to 24 and the properties of a square.
What to do next
Make 1 large square.
Make 2 squares.
Make 3 squares.
Make 4 squares. Hint: A square can share a side of another square.
Can you make 5 squares? Hint: Squares don’t all have to be the same size.
Can you make 6 squares?
Can you make 7 squares?
Now make 8 squares?
Can you make 9 squares? Why or why not?
Can you make 10 squares? Why or why not?
Why can we make some squares and not others?
Options for your child
Activity too hard?
Use 12 toothpicks instead of 24 and make 1 square, 2 squares, 3 squares and 4 squares.
Activity too easy?
Follow the same instructions as above but use 48 toothpicks.
Can you make more squares?
Try this activity with a triangle and pick a number which is divisible by 3.
E.g 27 toothpicks.
Does this work as successfully as an even number? Why?
What happens when you halve the number?