Maths Investigation Week – Year 5
This week you have done three different maths investigations or activities.
1.
2.
3.
All the fours
Visual Numbers
Paper folding
I would like you to choose one of the activities and, in your homework books, explain what you did. Give examples and/or colour in
the shapes and patterns. You can glue anything you do into your book if you need to. Your work will be used as examples in our class
investigation book.
Below are some resources:
1.
All the fours
Try to make every number from 1 to 20 using only four 4’s and any operation. You can include brackets and square and square root
signs too.
2.
Visual Numbers
Write the number above each representation.
What do you see?
Use colours to show patterns.
3.
Paper folding
Construct a square with exactly ¼ the area of the original square. Convince your partner that it is a square and has
¼ of the area.
Construct a triangle with exactly ¼ the area of the original square. Convince your partner that it has ¼ of the area.
Construct another triangle, also with ¼ the area, that is not congruent to the first one you constructed. Convince
your partner that it has ¼ of the area.
Construct a square with exactly ½ the area of the original square. Convince your partner that it is a square and has
½ of the area.
Construct another square, also with ½ the area, that is oriented differently from the one you constructed in 4.
Convince your partner that it has ½ of the area.