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Math 6 week 1 ILLUSTRATING RATIO AND PROPORTION
This document discusses ratios and proportions. It begins by defining ratios and proportions using concrete or pictorial models. It then provides examples of expressing ratios in different forms like fractions or phrases. It also shows how to simplify ratios through prime factorization or continuous division. Finally, it illustrates what a proportion is when two ratios are equal, and provides examples of setting up and solving proportions.
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Math 6 week 1 ILLUSTRATING RATIO AND PROPORTION
- 1.
- 2. • Expresses onevalue 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 followingfractions in lowest term. 𝟗 𝟏𝟖 𝟏 𝟐
- 4. DRILL Express the followingfractions in lowest term. 𝟏𝟓 𝟑𝟎 𝟏 𝟐
- 5. DRILL Express the followingfractions in lowest term. 𝟏𝟖 𝟒𝟐 𝟑 𝟕
- 6. DRILL Express the followingfractions in lowest term. 𝟗 𝟕𝟐 𝟏 𝟖
- 7. DRILL Express the followingfractions in lowest term. 𝟗 𝟕𝟐 𝟏 𝟖
- 8.
- 9.
- 10. PRESENTATION What is theratio 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 betweentwo numbers or quantities. 4 : 5
- 13. DISCUSSION RATIO can bewritten in three different ways or forms: COLON FRACTION PHRASE 6 : 25 𝟔 𝟐𝟓 6 is to 25
- 15.
- 16. The ratio ofboys 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 ofmathematicians to scientist is 45: 60. Example # 2 45 : 60 5 9 : 12 3 3 : 4 Simplest form
- 18. The Concept ofProportion 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 4x 9 = 36 5 x 8 = 40
Editor's Notes
- #11 Let’s take at look the illustration. Let us answer some of the questions that will follow.
- #12 NOW WHAT HAVE YOU NOTICED ON THE SHAPES PRESENTED? THE SHAPES ARE BEING COMPARED AS TO THEIR QUANTIES OR NUMBERS.
- #13 WHEN NUMBERS OR QUANTITIES ARE BEING COMPARED TO EACH OTHER, IT IS CALLED RATIO
- #16 Since the ratio is also expressed in fraction form, they can also be simplified.
- #21 product of the means is equal to the product of the extremes.
- #22 Who can tell whether the following is a proportion or not.
- #23 Who can tell whether the following is a proportion or not.