Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...
Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ... Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...
6–2BUILD YOUR VOCABULARY (pages 144–145)ortwo related quantities bythe same number is called scaling.EXAMPLE Use ScalingCLOTHING Coco used 12 yardsof fabric to make 9 blouses.Use the ratio table to find thenumber of blouses she couldmake with 20 yards of fabric.Yards ofFabricNumber ofBlouses12 209 There is no whole number by which you can multiply 12 to get20. So, scale back to 4 and then scale forward to 20.÷ 3 × 5Yards ofFabricNumber ofBlouses12 209÷ 3 × 5Divide each quantity by acommon factor, 3.Then, since 4 × 5 = 20,multiply each quantity by 5.So, Coco could makewith 20 yards of fabric.HOMEWORKASSIGNMENTPage(s):Exercises:Check Your Progress PAINT Mrs. Wallace ordered 8bottles of paint for 18 students. Use the ratio table to findthe number of bottles of paint she would need to order for27 students.Number ofStudentsBottles ofPaint18 278Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.150 Math Connects, Course 1
6–3ProportionsMAIN IDEA• Determine if two ratiosare proportional.BUILD YOUR VOCABULARY (pages 144–145)Two quantities are proportional if they have a constantratio or rate.A proportion is an equation stating that two ratios or ratesare equivalent.EXAMPLES Use Unit RatesDetermine if the quantities in the pair of ratios or ratesare proportional. Explain your reasoning and expresseach proportional relationship as a proportion.20 rolls for $5; 48 rolls for $12Write each rate as a fraction. Then find its unit rate.÷ 5÷ 12__ $520 rolls =__ $1248 rolls =Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.÷ 5÷ 12Since the rates have the same unit rate, they are equivalent.The cost is proportional to the number of rolls.So, = .42 people on 7 teams; 64 people on 8 teams÷ 7__ 42 people7 teams =÷ 7÷ 8__ 64 people8 teams =Since the rates do not have the same unit rate, they are notequivalent. So, the number of people isto the number of teams.÷ 8Math Connects, Course 1 151
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- Page 114 and 115: 4-9Algebra: Ordered Pairs and Funct
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- Page 122 and 123: C H A P T E R5Operations with Fract
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- Page 134 and 135: 5-5REMEMBER ITUse estimation tochec
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- Page 138 and 139: 5-7EXAMPLE Simplify Before Multiply
- Page 140 and 141: 5-8Check Your Progress WEIGHT A bag
- Page 142 and 143: 5-9Find 5 ÷ 1 _6 .5 ÷ 1_6 = _ 5
- Page 144 and 145: 5-10EXAMPLEADVENTURE RACING A team
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- Page 150 and 151: C H A P T E R5ChecklistARE YOU READ
- Page 152 and 153: C H A P T E R6BUILD YOUR VOCABULARY
- Page 154 and 155: 6-1 Ratios and RatesMAIN IDEA• Ex
- Page 156 and 157: 6-2 Ratio TablesMAIN IDEA• Use ra
- Page 160 and 161: 6-3FOOD You can buy 3 medium pizzas
- Page 162 and 163: 6-4Algebra: Solving ProportionsEXAM
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- Page 166 and 167: 6-6 Sequences and ExpressionsMAIN I
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- Page 180 and 181: 7-1Check Your Progress Write each p
- Page 182 and 183: 7-2Circle GraphsMAIN IDEA• Sketch
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- Page 186 and 187: 7-3EXAMPLES Write a Decimal as a Pe
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- Page 196 and 197: 7-8 Estimating with PercentsMAIN ID
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6–3ProportionsMAIN IDEA• Determine if two ratiosare proportional.BUILD YOUR VOCABULARY (pages 144–145)Two quantities are proportional if they have a constantratio or rate.A proportion is an equation stating that two ratios or ratesare equivalent.EXAMPLES Use Unit RatesDetermine if the quantities in the pair of ratios or ratesare proportional. Explain your reasoning and expresseach proportional relationship as a proportion.20 rolls for $5; 48 rolls for $12Write each rate as a fraction. Then find its unit rate.÷ 5÷ 12__ $520 rolls =__ $1248 rolls =Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc.÷ 5÷ 12Since the rates have the same unit rate, they are equivalent.The cost is proportional to the number of rolls.So, = .42 people on 7 teams; 64 people on 8 teams÷ 7__ 42 people7 teams =÷ 7÷ 8__ 64 people8 teams =Since the rates do not have the same unit rate, they are notequivalent. So, the number of people isto the number of teams.÷ 8Math Connects, Course 1 151
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