Programed instructional material: ratio
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The document serves as an instructional material on the concept of ratios for 6th grade students, detailing the definition, types, and problem-solving methods related to ratios. It covers six types of ratios: compounded, duplicate, sub-duplicate, triplicate, sub-triplicate, and inverse, along with examples for each type. Additionally, it includes quiz questions to reinforce learning and assess understanding of the ratio concepts.
Programed instructional material: ratio
- 1. Topic - RATIO Class - 6th Age – 13 -15 Let’s start module 1 Programmed Instructional material
- 2. Objectives At the end of this module you will be able - To know about the meaning of ratio To know about the types of ratio To know how to solve problems on ratio Let’s start module 2
- 3. RATIO Ratio compares two or more things of same kind . The ratio of two quantities a and b in the same units , is the fraction a/b and we write it as a:b . In the ratio a:b , we call a as the first term / antecedent b as the second term / consequent There are six types of ratios; 1)compounded ratio :- When two or more ratios are multiplied term wise . For example –compounded ratio of 2:3 and 4:5 are =2×4/3×5 =8/15 Next Slide… 3
- 4. 2) Duplicate ratio:- This is the ratio of the squares of two numbers . For example – Duplicate ratio of 3:4 = 3² : 4² = 9 : 16 3) Sub-duplicate ratio:- This is the ratio of the square roots of two numbers . For example – Sub-duplicate ratio of√ 9 :√ 16 = 3:4 4) Triplicate ratio:- This is the ratio of cubes of two numbers . For example – Triplicate ratio of 2:3 = 2³ : 3³ = 8 : 27 Next Slide… 4
- 5. 5) Sub-Triplicate ratio:- This is the ratio of cube roots of two numbers . For example:- sub-triplicate ratio of = ³√64: ³√27 = 4 : 3 6) Inverse ratio:- This is obtained when first term and second term are mutually replaced . For example – Inverse ratio of 3:7 = 7:3 Lets answer some questions 5
- 6. Q1: - Ratio - Proportion - Integer - Numbers 6 ...-.....compares two or more things of same kind ?
- 7. Oops! Wrong Answer Click Here to attempt the question again Hint! 7
- 8. Oops! Wrong Answer Click Here to attempt the question again Hint! 8 FOR EXAMPLES :- Ratio – 5:7 , p:q Proportion – p:q::r:s Integers -1,2,5,-6 Numbers -4,6,8,9
- 9. Congratulations you have selected Right Answer! Click Here to go the next question….. 9
- 10. Q2:- - Constant - Variable - Antecedent - Consequent 10 In the ratio a:b . a is called as the ..........
- 11. Oops! Wrong Answer Click Here to attempt the question again Hint! 11
- 12. Oops! Wrong Answer Click Here to attempt the question again Hint! 12 Constant are numbers like 5,1 Variables are like x , y Antecedent is the first term Consequent is the second term
- 13. Congratulations you have selected Right Answer! Click Here to go the next question … 13
- 14. Q3:- Compounded ratio Duplicate ratio Sub-duplicate ratio Triplicate ratio 14 ......... is the ratio of squares of two numbers ?
- 15. Oops! Wrong Answer Click Here to attempt the question again Hint! 15
- 16. Oops! Wrong Answer Click Here to attempt the question again Hint! 16 FOR EXAMPLES ; Compounded ratio= 2:3 and 4:5 =2×4 /3×5=8/15 Duplicate ratio=3²:9²=9:81 Triplicate ratio=2³:3³=8:27 Sub duplicate ratio=√9 : √16
- 17. Congratulations you have selected Right Answer! Click Here to go the next question ..… 17
- 18. Q4:- 18 Triplicate ratio of 6 and 7 is…….. 49:36 36:49 127:216 216:343
- 19. Oops! Wrong Answer Click Here to attempt the question again Hint! 19
- 20. Oops! Wrong Answer Click Here to attempt the question again Hint! 20 TRIPLICATE RATIO MEANS CUBES OF TWO NUMBERS
- 21. Congratulations you have selected Right Answer! Click Here to go the next question ..… 21
- 22. Q5: ³√64 : ³√27 √25 : ³√216 5 : 8 64 : 27 22 - From the following which one is a form of sub-triplicate ratio ?
- 23. Oops! Wrong Answer Click Here to attempt the question again Hint! 23
- 24. Oops! Wrong Answer Click Here to attempt the question again Hint! 24 SUB-TRIPLICATE RATIO MEANS CUBE ROOTS OF TW O NUMBERS
- 25. Congratulations you have selected Right Answer! Click Here to know your scores….. 25
- 26. Congratulations you have Scored 50/50 marks! 26