This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.
A PDF of the student activity is included.
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find fractions of a region
Square Grid
FIO, Level 2-3, Number, Getting in Shape, page 19
Isometric Dot Paper
You may need to remind students, in various ways, what “three-quarters” means. This might involve creating a poster with representations such as:
The three-quarter bug problems will each have a number of solutions. Students should be encouraged to find as many answers as possible.
To help them realise why it is called the three-quarter bug, the original shape and what is left behind could be modelled with pattern blocks.
“How could we write how much of the whole square/triangle the bug ate?”
An interesting connection is that for each quarter shape, the original shape could have been an enlargement of the quarter.
Shapes like this are sometimes called reptiles.
Students must justify their solutions. For example:
Answers to Activity
1. It eats three-quarters of everything.
2. Answers will vary. The shapes could be the same
but three times as big.