This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.
A PDF of the student activity is included.
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solve problems involving simple proportions
FIO, Level 3-4, Number, Book 1, More Thinking, page 21
These problems use similar skills to those used for pages 4–5 and 9 in the students’ book.
Questions 1, 2, and 4 can be solved using either multiplication or a double number line.
For example, for question 1:
4 dresses need 6 metres of cloth.
36 metres of cloth is 6 x 6 metres.
So the number of dresses made is 6 x 4 dresses = 24 dresses.
On a double number line, this would be:
A table is a useful strategy for question 3:
The three tubes of white paint are multiplied by 4 to give 12 tubes of white paint. The other two paint colours also have to be multiplied by 4 to give the number of tubes needed.
Answers to Activity
Activity
1. 24 dresses (although the extra fabric may allow more if the dresses are laid out carefully to make full use of the material)
2. 60 days
3. Eight tubes of blue and 16 tubes of yellow
4. 210 km