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Tape Diagrams and Equivalent Ratios - Solving Ratio Problems

Learn how to use tape diagrams to solve problems involving ratios and determine if two ratios are equivalent. Practice exercises included.

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Tape Diagrams and Equivalent Ratios - Solving Ratio Problems

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  1. locker

  2. Do NOW: 11/5/15 • Take out your homework • Pick up a “DO NOW” (on top of projector) • Complete the DO NOW (5 mins.) • Pass it in when done

  3. November 5, 2015 [Day A] • I will be able to use tape diagrams to solve problems when the part-to-part ratio is given and the value of one of quantities is given and also determine if two ratios are equivalent. • I will demonstrate my understanding by completing page 13 independently. 6.RP.A.1 6.RP.A.3

  4. Ratios that have the same value Ex. 4:7 is equivalent to 12:21 Equivalent ratio

  5. Exercise 2Lets represent this ratio in a table. 3 7 14 6 21 9 We use a tape diagram to represent the ratio of the lengths of ribbon. Let’s create one. 

  6. Tape Diagram (Bar Model)

  7. Equivalent Ratio!

  8. Page 8 : Exercise 3 Nov. 5, 2015 Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of laps Laney ran was 2 to 3. • If Mason ran 4 miles, how far did Laney run? Laney ran 6 miles.

  9. Page 8 : Exercise 3 Nov. 5, 2015 • If Laney ran 930meters, how far did Mason run? Draw a tape diagram to determine how you found the answer. Mason ran 620 meters.

  10. Page 8 : Nov. 5, 2015 Exercise 3 • What ratios can we say are equivalent to 2:3? 4:6 and 620 : 930

  11. How do you feel? topic.

  12. Page 9: Exercise 4 Nov. 5, 2015 Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9. (a) If Josie missed 8 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer.

  13. Page 9: Exercise 4 Nov. 5, 2015 (b) If Josie missed 20 questions, how many did she get correct? Draw a tape diagram to demonstrate how you found the answer. (c) What ratios can we say are equivalent to 2:9? 8:36 and 20:90

  14. Page 10: Exercise 4 Nov. 5, 2015 (d) Come up with another possible ratio of the number Josie got incorrect to the number she got correct. incorrect: correct 10 : 45 (e) How did you find the numbers? Incorrect : correct 10 : 45 5 x 2 : 5 x 9 (f) Describe how to create equivalent ratios. Multiply both numbers of the ratio by the same number.

  15. How do you feel? topic.

  16. Page 12: EXAMPLE 1 Nov. 5, 2015 You would have to know the total number of 6th graders, and then see if the ratio 24 :total is equivalent to 2:7

  17. Page 12: Exercise 1 Nov. 5, 2015

  18. Page 13: Exercise 2 Nov. 5, 2015 54 divided by 6 equals 9. 5 times 9 equals 45. There are 45 walnuts in the bag. The ratio of the # of walnuts to the # of cashews is 45:54. That ratio is equivalent to 5:6.

  19. Oct. 21, 2015 Lesson 17 How do you feel? topic.

  20. Nov. 5, 2015 Exit Ticket: (on sticky note) There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is 5:7. Is Lonnie correct? Show why or why not. HOMEWORK pg. 11 #4 (all parts) Pg. 14 (all)

  21. Nov. 5, 2015 Accommodations • Read or reread presentation or activity directions, as needed or after prompting • Use examples to model and act as a guide for emerging learners

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