TOPIC: RATIO
A: TEACHING AND LEARNING MATERIALS
- Counters.
- Bottle tops.
- Coloured objects.
- Ratio flashcards.
- Chalkboard/whiteboard.
- Pupils’ exercise books.
B: REFERENCE MATERIALS
- Scheme of work.
- Recommended Mathematics textbook for Primary 5.
- Online educational resources.
C: PREVIOUS KNOWLEDGE
The pupils can count, compare quantities and divide simple whole numbers.
D: PERFORMANCE OBJECTIVES
By the end of the lesson, pupils should be able to:
- Explain ratio.
- Write quantities as ratios.
- Compare two quantities using ratio.
- Simplify ratios.
- Find equivalent ratios.
- Share quantities in a given ratio.
- Solve simple problems involving ratio.
E: CONTENT
Meaning of Ratio
A ratio compares two quantities of the same kind.
We use the sign : to write a ratio.
Example:
👦👦👦 👧👧
There are 3 boys and 2 girls.
Ratio of boys to girls = 3 : 2
Writing Ratios
If there are 4 red balls and 6 blue balls:
🔴🔴🔴🔴
🔵🔵🔵🔵🔵🔵
Ratio of red balls to blue balls = 4 : 6
Simplifying Ratio
4 : 6 can be divided by 2.
4 ÷ 2 : 6 ÷ 2
\= 2 : 3
Equivalent Ratios
2 : 3 is equivalent to:
4 : 6
6 : 9
8 : 12
Sharing in a Ratio
Share 15 oranges in the ratio 2 : 3.
Total parts = 2 + 3 = 5
15 ÷ 5 = 3
First share = 2 × 3 = 6
Second share = 3 × 3 = 9
Therefore:
6 : 9
F: LESSON PRESENTATION
F1: Teachers’ Activities
- Uses classroom objects to introduce ratio.
- Explains how quantities are compared.
- Demonstrates how to write ratios.
- Shows how to simplify ratios.
- Explains equivalent ratios.
- Demonstrates sharing quantities in a given ratio.
- Gives pupils practice questions.
F2: Pupils’ Activities
- Count objects.
- Compare quantities.
- Write ratios.
- Simplify given ratios.
- Find equivalent ratios.
- Share quantities in given ratios.
- Solve word problems.
G: CONCLUSION
The teacher revises the meaning of ratio and how ratios are written, simplified and used to share quantities.
H: EVALUATION GUIDE
Pupils should be able to answer the following questions:
- What is ratio?
- Write the ratio of 3 boys to 5 girls.
- Simplify 4 : 8.
- Simplify 6 : 9.
- Give one equivalent ratio of 2 : 3.
- Share 20 in the ratio 1 : 3.
- What symbol is used to write a ratio?