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## Chapter 3 Ratios and Rates

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**Day…..**• Expressing ratios in all forms • Creating and interpreting ratio tables • Finding a missing quantity • Review and Quiz**Bell Work**Work with your partner to complete problems 30-34 on page 155 in your textbook. Work these problems in your spiral.**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:**I Can….**express ratios in all forms. (ex. a:b, a to b, and )**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.**I Can….**explain the meaning of ratios**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.**Wrap it Up**• Review • Questions • Exit Tickets**Bell Work**Complete problems 11-17 on page 189 in your textbook. Work these problems in your spiral. Justify each response.**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:**I Can….**Create and use a ratio table, by scaling a given ratio up and/or down.**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.**Watch This**• http://learnzillion.com/lessons/606-create-equivalent-ratios • http://learnzillion.com/lessons/607-simplify-ratios-using-common-factors**Wrap it Up**• Review • Questions • Exit Tickets**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.**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:**I Can….**Find a missing quantity using a given ratio.**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.**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**Wrap it Up**• Review • Questions • Exit Tickets**Bell Work**Solve problems 38-40 on page 191 in your textbook. Work these problems in your spiral and explain your reasoning for each.**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:**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.**Let’s Review**Please Take out your Study Guides**pOp Quiz**• Take out a pencil and a calculator • Clear everything else from your desk**Wrap it Up**• Review • Questions • Quiz