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HW # 55 - Watch videos # 1,4,7, 22, 23 Copy the examples onto your paper. Do p. 226-227 # 1-35 odd and # 36 Warm up The number of Roberto’s baseball cards is ¾ the number of David’s cards If Roberto gives ½ of his cards to David, what will be the ratio of Roberto’s cards to David’s cards? Week 16, Day Two

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Warm Up Response * 3 to 11

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Homework Check p.

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Mixing Paint- MARS task List it as CW on your TOC. Get a signature from me when you have completed the work.

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Vocabulary ratio equivalent ratios

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A ratio is a comparison of two quantities. Ratios can be written in several ways. 7 to 5, 7:5, and name the same ratio. 7575

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Additional Example 1: Writing Ratios in Simplest Form Write the ratio 15 bikes to 9 skateboards in simplest form. 15 9 5353 The ratio of bikes to skateboards is, 5:3, or 5 to 3. = 15 ÷ 3 9 ÷ 3 Write the ratio as a fraction. = = Simplify. 5353 bikes skateboards

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Check It Out! Example 1 Write the ratio 24 shirts to 9 jeans in simplest form. 24 9 8383 The ratio of shirts to jeans is, 8:3, or 8 to 3. = shirts jeans 24 ÷ 3 9 ÷ 3 Write the ratio as a fraction. = = Simplify. 8383

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When simplifying ratios based on measurements, write the quantities with the same units, if possible.

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Write the ratio 3 yards to 12 feet in simplest form. First convert yards to feet. 9 feet 12 feet = 3 yards 12 feet 3434 = 9 ÷ 3 12 ÷ 3 = There are 3 feet in each yard. Additional Example 2: Writing Ratios Based on Measurement 3 yards = 3 ● 3 feet = 9 feet Multiply. Now write the ratio. Simplify. The ratio is, 3:4, or 3 to 4. 3434

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Write the ratio 36 inches to 4 feet in simplest form. First convert feet to inches. 36 inches 48 inches = 36 inches 4 feet 3434 = 36 ÷ 12 48 ÷ 12 = There are 12 inches in each foot. Check It Out! Example 2 4 feet = 4 ● 12 inches = 48 inchesMultiply. Now write the ratio. Simplify. The ratio is, 3:4, or 3 to 4. 3434

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Ratios that make the same comparison are equivalent ratios. Equivalent ratios represent the same point on the number line. To check whether two ratios are equivalent, you can write both in simplest form.

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Additional Example 3: Determining Whether Two Ratios Are Equivalent Simplify to tell whether the ratios are equivalent. 12 15 B. and 27 36 3 27 A. and 2 18 Since, the ratios are equivalent. 1919 = 1919 1919 = 3 ÷ 3 27 ÷ 3 3 27 = 1919 = 2 ÷ 2 18 ÷ 2 2 18 = 4545 = 12 ÷ 3 15 ÷ 3 12 15 = 3434 = 27 ÷ 9 36 ÷ 9 27 36 = Since, the ratios are not equivalent. 4545 3434

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Check It Out! Example 3 Simplify to tell whether the ratios are equivalent. 14 49 B. and 16 36 Since, the ratios are equivalent. 1515 = 1515 1515 = 3 ÷ 3 15 ÷ 3 3 15 = 1515 = 9 ÷ 9 45 ÷ 9 9 45 = 2727 = 14 ÷ 7 49 ÷ 7 14 49 = 4949 = 16 ÷ 4 36 ÷ 4 16 36 = Since, the ratios are not equivalent. 2727 4949 3 15 A. and 9 45

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Additional Example 4: Earth Science Application At 4°C, four cubic feet of silver has the same mass as 42 cubic feet of water. At 4°C, would 20 cubic feet of silver have the same mass as 210 cubic feet of water? 4 ÷ 2 42 ÷ 2 ? = 20 ÷ 10 210 ÷ 10 2 21 = 2 21 4 42 ? = 20 210 Since, 210 cubic feet of water would have the same mass at 4°C as 20 cubic feet of silver. 2 21 = 2 21 Divide. Simplify. ft 3 silver ft 3 water

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Check It Out! Example 4 At 4°C, two cubic feet of silver has the same mass as 21 cubic feet of water. At 4°C, would 105 cubic feet of water have the same mass as 10 cubic feet of silver? ? = 10 ÷ 5 105 ÷ 5 2 21 2 21 = 2 21 2 21 ? = 10 105 Since, 105 cubic feet of water would have the same mass at 4°C as 10 cubic feet of silver. 2 21 = 2 21 Divide. ft 3 silver ft 3 water Simplify.

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Lesson Quiz: Part I Write each ratio in simplest form. 1. 22 tigers to 44 lions 2. 5 feet to 14 inches 4 15 3. 8 21 4. 8 30 12 45 Possible answer:, 16 42 24 63 Possible answer:, Find two ratios that are equivalent to each given ratio. 1212 30 7

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Lesson Quiz: Part II 7. Kate poured 8 oz of juice from a 64 oz bottle. Brian poured 16 oz of juice from a 128 oz bottle. Are the ratios of poured juice to starting amount of juice equivalent? 8 64 16 128 and ; yes, both equal 1818 8585 8585 =; yes 16 10 5. 36 24 6. Simplify to tell whether the ratios are equivalent. and 32 20 and 28 18 3232 14 9 ; no

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