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N2.2 • Sec 1 MOE
Numbers & Algebra

Ratio & Proportion

Simplify ratios and solve basic proportion problems.

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Learning objectives

  • Simplify ratios to simplest form
  • Share quantities in a given ratio
  • Solve simple proportion problems
Learning methods:CRAI-We-YouSpaced reviewRetrievalMetacognition

Brain warm-up (try before we teach)

Try first, then learn step by step

Simplify the ratio 15:10. Write as a:b (e.g. 3:2).

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Foundation — I Do → We Do → You Do

1
I Do — Learn
Step 1 of 4

Simplifying ratios

A ratio compares two quantities. Simplify by dividing both parts by their HCF.

12 : 8 → divide by 4 → 3 : 2

2
I Do — Learn
Step 2 of 4

Worked example: Sharing $60 in ratio 2:3

Total parts =

1 part = $ = $12

2 parts = $24, 3 parts = $36

Answer: $24 and $36

3
We Do — Guided
Step 3 of 4

Guided: Simplify 15:10

Simplify the ratio 15:10. Write as a:b (e.g. 3:2).
4
You Do — Practice
Step 4 of 4

Practice: Divide 40 in ratio 3:5

Share 40 in the ratio 3:5. What is the smaller share?