2. Students and Teachers will be able to  Understand What is Ratio, Rate & Proportion ?  Make the difference between Ratio, Rate and Proportion  Solve the Sums Involving Ratio, Rate & Proportion

3. KNOWLEDGE TEST What is a fraction?

4. A Fraction

5. A Ratio

6. Difference between Fraction and Ratio Fraction shows a part of same thing.

7. Difference between Fraction and Ratio Ratio is the relationship between two different things

8. are the comparison of two or more numbers.

9. Representation of a Ratio The ratio of 3 boys to 5 girls can be written as: c) a) 3 to 5 b) 3: 5

10. Which ratio shows the ratio of 2 fish to 3 bear? A B C D E

11. 1 soccer ball3 basketball Which ratio shows the ratio of 1 soccer ball to 3 basketball? A B C D E

12. 3 butterflies1 apple? Which ratio shows the ratio of 3 butterflies to 1 apple? A B C D E

13. Ratios can show comparisons between: part to part red to green 1 to 2 green to red 2 to 1

14. Ratios can show comparisons between: part to whole red to whole 1 to 3 green to whole 2 to 3

15. Ratios can show comparisons between: whole to part whole to red 3 to 1 whole to green 3 to 2

16. Compare octagon to all shapes 1 to 81 : 8 1/81/8

17. Compare all shapes to trapezoid 8 to 18 : 1 8/18/1

18. Compare pentagons to hexagons 2 to 32 : 32 : 3 2/32/3

19. A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor. ÷ 8 = ÷ 3 =

20. 1 girl to every 2 boys 2 girls to every 4 boys 3 girls to every 6 boys 4 girls to every 8 boys girls : boys = 4 : 8 girls : boys = 3 : 6 girls : boys = 2 : 4 girls : boys = 1 : 2 But the simplest ratio is still 1 : 2 This is the simplest ratio is 1 : 2 Ratio of girls to boys?

21. 2 boys to every 1 girl 4 boys to every 2 girls 6 boys to every 3 girls 8 boys to every 4 girls boys : girls = 8 : 4 boys : girls = 6 : 3 boys : girls = 4 : 2 boys : girls = 2 : 1 But the simplest ratio is still 2 : 1 This is the simplest ratio is 2 : 1 Ratio of Boys to girls?

22. There are 20 boys and 10 girls in 6D. a) girls : boys = 2 : 1b) boys : girls = 2 : 1 ORDER MATTERS! Be careful what you write! ORDER MATTERS! Be careful what you write! boys : girls = 2 : 1 means 2 boys to every girl girls : boys = 2 : 1 means 2 girls to every boy

23. 40 miles/hour 10 meters/second $12/day 5o games/year

24. Q. Is 90 m/9s is a rate? Q. Is $60 /5h is a rate?

25. Speed of 1 st car is 120 m/3 h and speed of 2 nd car is 150 m/5h. Which one is going faster?

26. To express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator. 395 miles in 5 hours = 79 miles per hour miles hours miles hours

27. Express each ratio as a rate. 5 inches of rain in 30 days = inch of rain per day 120 words in 3 minutes = 40 words per minute 40 words per minute words per minute ÷ 5

30. Equal ratios are like equivalent fractions. They name the same quantity.

31. Examples of Equal Ratios :

32. Two equal ratios form a proportion.

33. Ratio and Proportion: Different Words! Ratio: “to every” Proportion: “out of”

34. 1 girl out of 3 2 girls out of 6 3 girls out of 9 4 girls out of 12 Simplest proportion of girls is still 1 out of 3 This is the simplest proportion of girls = 1 out of 3 What proportion is girls?

35. What fraction is boys? Simplest proportion of boys? What fraction is boys? Simplest fraction of boys? What fraction is boys? Simplest fraction of boys? 4 / 6 6 / 9 8 / 12 Simplest fraction of boys is still 2 / 3 Simplest fraction of boys?This is the simplest fraction of boys = 2 / 3 What fraction is boys? 2 / 3

36. Proportion of boys? Simplest proportion of boys? Proportion of boys? Simplest proportion of boys? Proportion of boys? Simplest proportion of boys? Proportion of boys? 4 boys out of 6 6 boys out of 9 8 boys out of 12 Simplest proportion of boys is still 2 out of 3 Simplest proportion of boys? This is the simplest proportion of boys = 2 out of 3 2 boys out of 3 What proportion is boys?

37. two out of five This is a … proportion two fifths This is a … fraction four tenths This is a … fraction four to every ten This is a … ratio ten to every four This is a … ratio four out of ten This is a … proportion 4/10 This is a … fraction 4:10 This is a … ratio

38. Ratio, Proportion or Fraction? 3 United fans to every 2 Rangers fans This is a … ratio 9 girls out of 10 use soap This is a … proportion 3 boys out of 10 use deodorant This is a … proportion

39. Ratio, Proportion or Fraction? 3 out of 4 pizza-munchers love olives This is a … proportion Half of all girls in 6D love History This is a … fraction One third of all road accidents involve drinking This is a … fraction

40. In a proportion the product of the means is equal to product of the extremes.

41. 3 : 5 = 6 : 10 Extremes Means

42. MeansExtremes 6 x 5 = 3 x 10 30 = 30

43. Determine if the following are proportions. 1) 2)

44. 3 x 60 = 5 x 36 180 = 180 Yes, it is a proportion. 4 x 15 = 8 x 8 6064 No, it is not a proportion.

45. Q. No. 1: In a class room there are 10 girls and 15 boys. What is the ratio of boys to girls? Q. No. 2: A classroom has 30 students. There are 20 males. What is ratio of males to females? Q. No. 3: A man earns $250 in a 5-day week. What is his pay for 3-day? Q. No. 4: A man pays $600 rent for 3-months, what is the rental rate in dollars per month?

46. Thank You