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Week 16, Day Two. 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

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## HW # 55 - Watch videos # 1,4,7, 22, 23 Copy the examples onto your paper .

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**Week 16, Day Two**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?**Warm Up Response*** 3 to 11**Goals for Today**• Mixing Paint- MARS task • List it as CW on your TOC. Get a signature from me when you have completed the work.**Vocabulary**ratio equivalent ratios**7 5**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.**15 ÷ 3**9 ÷ 3 bikes skateboards Additional Example 1: Writing Ratios in Simplest Form Write the ratio 15 bikes to 9 skateboards in simplest form. 15 9 Write the ratio as a fraction. = 5 3 Simplify. = = 5 3 The ratio of bikes to skateboards is , 5:3, or 5 to 3.**shirts**jeans 24 ÷ 3 9 ÷ 3 Check It Out! Example 1 Write the ratio 24 shirts to 9 jeans in simplest form. Write the ratio as a fraction. 24 9 = 8 3 Simplify. = = 8 3 The ratio of shirts to jeans is , 8:3, or 8 to 3.**When simplifying ratios based on measurements, write the**quantities with the same units, if possible.**3 yards**12 feet 9 ÷ 3 12 ÷ 3 = = = 3 4 3 4 The ratio is , 3:4, or 3 to 4. Additional Example 2: Writing Ratios Based on Measurement Write the ratio 3 yards to 12 feet in simplest form. First convert yards to feet. 3 yards = 3 ● 3 feet There are 3 feet in each yard. Multiply. = 9 feet Now write the ratio. 9 feet 12 feet Simplify.**36 inches**4 feet 36 ÷ 12 48 ÷ 12 = = = 3 4 3 4 The ratio is , 3:4, or 3 to 4. Check It Out! Example 2 Write the ratio 36 inches to 4 feet in simplest form. First convert feet to inches. 4 feet = 4 ● 12 inches There are 12 inches in each foot. = 48 inches Multiply. Now write the ratio. 36 inches 48 inches Simplify.**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.**1**9 1 9 12 15 3 27 27 36 2 18 Since , the ratios are equivalent. B. A. = and and 2 18 3 27 2 ÷ 2 18 ÷ 2 3 ÷ 3 27 ÷ 3 = = = = 4 5 3 4 Since , the ratios are not equivalent. 12 15 27 36 12 ÷ 3 15 ÷ 3 27 ÷ 9 36 ÷ 9 = = = = Additional Example 3: Determining Whether Two Ratios Are Equivalent Simplify to tell whether the ratios are equivalent. 1 9 1 9 4 5 3 4**1**5 1 5 14 49 3 15 9 45 16 36 Since , the ratios are equivalent. A. B. = and and 3 15 9 45 3 ÷ 3 15 ÷ 3 9 ÷ 9 45 ÷ 9 = = = = 2 7 4 9 Since , the ratios are not equivalent. 14 49 16 36 16 ÷ 4 36 ÷ 4 14 ÷ 7 49 ÷ 7 = = = = Check It Out! Example 3 Simplify to tell whether the ratios are equivalent. 1 5 1 5 2 7 4 9**Since ,**210 cubic feet of water would have the same mass at 4°C as 20 cubic feet of silver. ft3 silver ft3 water 4 42 20 210 ? ? = = 4 ÷ 2 42 ÷ 2 20 ÷ 10 210 ÷ 10 2 21 2 21 2 21 2 21 = = 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? Divide. Simplify.**Since ,**105 cubic feet of water would have the same mass at 4°C as 10 cubic feet of silver. ft3 silver ft3 water 2 21 10 105 ? ? = = 2 21 10 ÷ 5 105 ÷ 5 2 21 2 21 2 21 2 21 = = 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? Divide. Simplify.**8**30 30 7 1 2 12 45 Possible answer: , Possible answer: , 4 15 8 21 3. 4. 16 42 24 63 Lesson Quiz: Part I Write each ratio in simplest form. 1. 22 tigers to 44 lions 2. 5 feet to 14 inches Find two ratios that are equivalent to each given ratio.**36**24 16 10 5. 6. 8 64 16 128 and ; yes, both equal 28 18 32 20 8 5 3 2 14 9 8 5 1 8 = ; yes ; no Lesson Quiz: Part II Simplify to tell whether the ratios are equivalent. and and 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?

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