More thinking
This is a level 5 number activity from the Figure It Out series. It is focused on solving problems involving simple proportions. A PDF of the student activity is included.
About this resource
Figure It Out is a series of 80 books published between 1999 and 2009 to support teaching and learning in New Zealand classrooms.
This resource provides the teachers’ notes and answers for one activity from the Figure It Out series. A printable PDF of the student activity can be downloaded from the materials that come with this resource.
Specific learning outcomes:
- Solve problems involving simple proportions.
More thinking
Achievement objectives
NA5-4: Use rates and ratios.
Required materials
- Figure It Out, Level 3–4, Number, Book 1, "More thinking", page 21
See Materials that come with this resource to download:
- More thinking activity (.pdf)
Activity
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.
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
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