Mathematics 6 quaarter 2 week 1 Concept of Ratio and Proportion.pptx

quarter 2 week 2

1. Concept of Ratio and Proportion Quarter 2 - Module 1

2. At the end of this module, you will be able to: Expresses one value as a fraction of another given their ratio and vice versa. (M6NS-IIa-129) Defines and illustrates the meaning of ratio and proportion using concrete or pictorial models (M6NS-IIb-13)

3. Tap on the letter of the correct answer Pre-Test

4. 1. Which of the following ratio is equal to 2 : 6 in lowest term ? A. 2 : 5 B. 1 : 3 C. 3 : 2 D. 5 : 2

5. 2. What is the proportion equation for the illustration below? A. 3 : 8 = 6 : 16 B. 6 : 3 = 12 : 6 C. 8 : 3 = 16 : 6 D. 3 : 6 = 6 : 12

6. 3. In a basket, there are 10 apples, 5 mangoes, 10 ponkans and 15 guavas. What is the ratio of the number of guavas to the total number of fruits in lowest term? A. 15: 40 B. 4 0:15 C. 3 : 8 D. 8 : 3

7. 4. In the word PROPORTION , what is the ratio of the number of vowels to the number of consonant alphabets in lowest term? A. 4 : 6 B. 6 : 4 C. 2 : 3 D. 3 : 2

8. 5. Which of the following is the correct illustration for 1 : 4 = 2 : 8 ? A. B. C. D.

9. Write the ratio of each figure. Write P if the equations form a proportion or NP if not a proportion. Name Me!

10. Expressing one value as a fraction of another given their ratio and vice versa A ratio is a comparison of two quantities having the same units. The quantities may be separate entities or may be different part of a whole . Ratio can be written in different ways: word form, colon form, and fraction form The order of the term in a ratio must corresponds to the order of objects being compared .

11. Write the ratio of each figure. Write P if the equations form a proportion or NP if not a proportion. Separate E ntities

12. Compare the number of mangoes to number of 10-peso coins and vice versa.

13. Compare the number of mangoes to number of 10-peso coins and vice versa.

14. different part of a whole

15. different part of a whole

16. Even if the ratio is in fraction form, it should also be in simplest form or lowest form . A ratio in fraction form may be simplified by dividing both terms with its greatest common factor (GCF)

17. Remember: A ratio must be expressed using the same unit of measurement.

18. Beth helps her mother sells during weekends. Mother’s recipe needs 3 eggs to make 5 pancakes. Teresa wants to make 25 pancakes. How many eggs will she need? In the recipe, the ratio of eggs to pancakes is 3:5. To follow the recipe, Beth’s eggs to pancakes must also be 3:5.

19. A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.

20. A ratio is a comparison of two quantities. To write a ratio: ✓ Determine whether the ratio is part to part or part to whole. ✓ Calculate the parts and the whole if needed. ✓ Plug values into the ratio. ✓ Simplify the ratio if needed. Equivalent ratios are ratios that have the same value. a:b = c:d 𝑎:𝑏 = 𝑐:𝑑 A proportion is an equality of two ratios. In a proportion, the product of the means is equal to the product of the extremes a:b = c:d ad = bc

21. Write the following ratio in colon form. Express your answer in simplest form. 1) In a certain school, a class with 120 learners has 4 teachers. Ratio of teachers to learners