Chapter 3 Ratios and Rates

1. Chapter 3Ratios and Rates

2. Day….. • Expressing ratios in all forms • Creating and interpreting ratio tables • Finding a missing quantity • Review and Quiz

3. Day 1

4. Bell Work Work with your partner to complete problems 30-34 on page 155 in your textbook. Work these problems in your spiral.

5. Vocabulary • Ratio – A comparison of two quantities by division. (Example: a:b, a to b, ) • Equivalent Ratio – ratios the express the same relationship between two quantities. (Example: 10:15 is equivalent to 2:3 and 20:30) • Scaling – to multiply or divide two related quantities by the same number. (Example: x ) • Ratio Table – a table with columns filled with pairs of numbers that have the same ratio. Example:

6. I Can…. express ratios in all forms. (ex. a:b, a to b, and )

7. Reviewing Ratios When: • When the question asks me to write the ratio. or • When the question asks me what is the ratio. How: • I simply write the numbers that correspond to each quanity. • I must pay careful attention to the order of the words in the question. • Ratios can be written in 3 forms: a:b, a to b, • Ratios can be simplified by using division, when needed. Example: I can check my answer by: writing the words for each quantity in the order the question asks.

8. I Can…. explain the meaning of ratios

9. Reviewing Ratios When: • The question asks me to explain the meaning. How: • First, I must decide if it is a part to part, part to whole, or whole to part comparison. • If it is a part to part comparison, I can read the ratio left to write. • If it is a part to whole or a whole to part, I must discuss the whole before the part Example: part to part: “For every ___ _____, there are ____ ________.” Part to whole or whole to part: Out of every __________, ________ are I can check my answer by: Comparing my explanation to the question, or drawing a diagram of my explanation.

10. Wrap it Up • Review • Questions • Exit Tickets

11. Day 2

12. Bell Work Complete problems 11-17 on page 189 in your textbook. Work these problems in your spiral. Justify each response.

13. Homework Check

14. Vocabulary No New Vocabulary • Ratio – A comparison of two quantities by division. (Example: a:b, a to b, ) • Equivalent Ratio – ratios the express the same relationship between two quantities. (Example: 10:15 is equivalent to 2:3 and 20:30) • Scaling – to multiply or divide two related quantities by the same number. (Example: x ) • Ratio Table – a table with columns filled with pairs of numbers that have the same ratio. Example:

15. I Can…. Create and use a ratio table, by scaling a given ratio up and/or down.

16. Reviewing Ratio Tables When: • The question asks me to create a ratio table. • The question asks me to complete the given ratio table. • I need a visual to solve a missing quantity. How: • Ratio tables can be created by, listing the words and quantities given in a horizontal or vertical table. • I can extend a ratio table, by multiplying both quantities by the same number. • I can simplify a ratio or scale a ratio down, by dividing each quantity by the same number. • Sometimes, I have to scale a ratio down before I can scale forward. Example: I can check my answer by: Cross Multiplying any two ratios in the table.

17. Watch This • http://learnzillion.com/lessons/606-create-equivalent-ratios • http://learnzillion.com/lessons/607-simplify-ratios-using-common-factors

18. Wrap it Up • Review • Questions • Exit Tickets

19. Day 3

20. Bell Work Work with a partner to complete problems 1-5 on page 166 in your textbook. Work these problems in your spiral. Be prepared to explain your reasoning and process.

21. Homework Check

22. Vocabulary No New Vocabulary • Ratio – A comparison of two quantities by division. (Example: a:b, a to b, ) • Equivalent Ratio – ratios the express the same relationship between two quantities. (Example: 10:15 is equivalent to 2:3 and 20:30) • Scaling – to multiply or divide two related quantities by the same number. (Example: x ) • Ratio Table – a table with columns filled with pairs of numbers that have the same ratio. Example:

23. I Can…. Find a missing quantity using a given ratio.

24. Reviewing Equivalent Ratios When: • The question gives 3 quantities and asks me to find the 4th quantity. • The question asks me to use a ratio to find a quantity. • The question asks me to complete the ratio table. How: • I can use a ratio table to organize my thoughts and give me a visual. • I must be careful to list the quantities in the order they are listed in the question. • I must figure out how the ratio is being scaled (up or down) and by how much. • Sometimes I may have to scale down, before I can scale up. • I can also use cross multiplication and division to find equivalent cross products. Examples: I can check my answer by: cross multiplying the original ratio and the ratio I created.

25. Watch This • http://learnzillion.com/lessons/587-solve-ratio-problems-using-tables-and-multiplication • http://learnzillion.com/lessons/608-solve-missing-values-in-ratio-problems-using-a-table

26. Wrap it Up • Review • Questions • Exit Tickets

27. Day 4

28. Bell Work Solve problems 38-40 on page 191 in your textbook. Work these problems in your spiral and explain your reasoning for each.

29. Homework Check

30. Vocabulary No New Vocabulary • Ratio – A comparison of two quantities by division. (Example: a:b, a to b, ) • Equivalent Ratio – ratios the express the same relationship between two quantities. (Example: 10:15 is equivalent to 2:3 and 20:30) • Scaling – to multiply or divide two related quantities by the same number. (Example: x ) • Ratio Table – a table with columns filled with pairs of numbers that have the same ratio. Example:

31. I Can…. • Relate ratios and rates to the multiplication and division of fractions. • Look at my answer to check that I answered what was asked and see if my answer makes sense.

32. Let’s Review Please Take out your Study Guides

33. pOp Quiz • Take out a pencil and a calculator • Clear everything else from your desk

34. Wrap it Up • Review • Questions • Quiz

35. Ratio Bingo