ILLUSTRATING RATIO AND PROPORTION

1. ILLUSTRATING RATIO
AND PROPORTION
Quarter 2 – Week 1

2. • Expresses one value as a fraction of
another given their ratio and vice
versa.
• Defines and illustrate the meaning of
ratio and proportion using concrete
or pictorial models.
• Appreciates the value of sharing.
OBJECTIVES

3. DRILL
Express the following fractions in lowest term.
𝟗
𝟏𝟖
𝟏
𝟐

4. DRILL
Express the following fractions in lowest term.
𝟏𝟓
𝟑𝟎
𝟏
𝟐

5. DRILL
Express the following fractions in lowest term.
𝟏𝟖
𝟒𝟐
𝟑
𝟕

6. DRILL
Express the following fractions in lowest term.
𝟗
𝟕𝟐
𝟏
𝟖

7. DRILL
Express the following fractions in lowest term.
𝟗
𝟕𝟐
𝟏
𝟖

8. REVIEW
Divide the following:
𝟐
𝟑
÷
𝟒
𝟗
=
𝟏𝟖
𝟏𝟐
𝒐𝒓 𝟏
𝟏
𝟐

9. REVIEW
Divide the following:
𝟑
𝟖
÷
𝟏
𝟒
=
𝟏𝟐
𝟖
𝒐𝒓 𝟏
𝟏
𝟐

10. PRESENTATION
What is the ratio of the number using the shapes in the box?

11. PRESENTATION
4 : 5
5 : 6
6 : 25
4:5:5
5:4:6

12. DISCUSSION
RATIO
Shows the relationship
between two numbers
or quantities.
4 : 5

13. DISCUSSION
RATIO can be written in three different ways or forms:
COLON
FRACTION
PHRASE
6 : 25
𝟔
𝟐𝟓
6 is to 25

15. DISCUSSION
Simplifying ratios:
Prime Factorization
Continuous Division

16. The ratio of boys to girls is 14 : 20.
14 : 20
2
7 : 10 Simplest form
of fraction
Simplest form 14:20 is 7:10
Example # 1

17. The ratio of mathematicians to scientist is
45: 60.
Example # 2
45 : 60
5
9 : 12
3
3 : 4
Simplest form

18. The Concept of Proportion
It is when the two
ratios are equal.

19. Proportion
6 : 14 = 3 : 7
extremes
means

20. Proportion
6 : 14 = 3 : 7
6 x 7 =42
14 x 3 = 42

21. Proportion
Example # 1
2:3 = 4:6
2 x 6 = 12
3 x 4 = 12

22. Proportion
Example # 2
𝟒
𝟓
=
𝟖
𝟗
4 x 9 = 36
5 x 8 = 40