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5–9Find 5 ÷ 1 _6 .5 ÷ 1_6 = _ 5 × Multiply by the reciprocal of1_1 6 .= or Simplify.Check Your Progressa. 1_4 ÷ _ 712Divide. Write in simplest form.b. 3 ÷ 1_3HOMEWORKASSIGNMENTPage(s):Exercises:EXAMPLE Divide by a Whole NumberRACE A relay race is _ 3 of a mile long. There are44 runners in the race. What portion of a mile willeach runner run?Divide _ 3 into 4 equal parts.43_4 ÷ 4 = _ 3 × Multiply by the reciprocal.4= Simplify.Each runner will run of a mile.Check Your Progress CRAFTS For a project, Becki needsto cut 1_ of a poster board into 5 equal-size pieces.What part of2the original poster board is each piece?Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.134 Math Connects, Course 1
5–10Dividing Mixed NumbersMAIN IDEA• Divide mixed numbers.EXAMPLE Divide by a Mixed NumberFind 6 _ 1 4 ÷ 2 _ 1 2 .Estimate 6 ÷ 3 = 26 1_4 ÷ 2 1_2 = ÷ Write mixed numbers asimproper fractions.= × Multiply by the reciprocal.= 255_42× 21_51Divide by the GCFs.= or Simplify.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.ORGANIZE ITRecord what you learnabout expressing mixednumbers as improperfractions before dividingon the note cards in yourFoldable. As you learnthe concepts, move thenote cards from the Needto Know pocket to theKnow pocket in yourFoldable.What I know:®What I needto know:Check for Reasonableness 2 1_2 ≈ 2EXAMPLE Evaluate ExpressionsALGEBRA Find ƒ ÷ g if ƒ = 2 5 _8 and g = 2 _3 .ƒ ÷ g = ÷= ÷Replace f with 2 5_ 8 andg with 2_ 3 .Write the mixed number asan improper fraction.= × Multiply by the reciprocal.= or Simplify.Check Your Progressa. Find 3 3 _4 ÷ 2 1_2 .b. ALGEBRA Find a ÷ b if a = 3 3 _4 and b = 5 _8 .Math Connects, Course 1 135
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ContentsCopyright © Glencoe/McGraw
Page 7 and 8:
1-5 Algebra: Variables and Expressi
Page 9 and 10:
C H A P T E R1 Number Patterns and
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Chapter 1 BUILD YOUR VOCABULARYVoca
Page 14 and 15:
1-2 Prime FactorsMAIN IDEA• Find
Page 16 and 17:
1-3Powers and ExponentsMAIN IDEA•
Page 18 and 19:
1-4 Order of OperationsMAIN IDEA•
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1-4ORGANIZE ITOn the Lesson 1-4 tab
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1-5REMEMBER ITIn algebra, thesymbol
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1-6EXAMPLE Find the Rule for a Func
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1-8 Algebra: EquationsMAIN IDEA•
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1-9Algebra: Area FormulasMAIN IDEA
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Chapter 1 BRINGING IT ALL TOGETHER1
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C H A P T E R1ChecklistARE YOU READ
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P T A E RH C2BUILD YOUR VOCABULARYT
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2-1 Problem-Solving Investigation:M
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2-2Step 1 Decide on a scale and . T
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2-2Check Your Progress SNOWFALL Mak
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2-3Check Your Progress INCOME The a
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2-4ORGANIZE ITUnder Lesson 2-4 in y
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2-5 Line PlotsEXAMPLE Display Data
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2-6 MeanMAIN IDEA• Find the mean
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2-7 Median, Mode, and RangeMAIN IDE
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2-7ORGANIZE ITUnder Lesson 2-7 in y
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2-8EXAMPLESSelect an appropriatetyp
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2-9Check Your ProgressGraph -5 on a
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Page 61 and 62:
Chapter 2 BRINGING IT ALL TOGETHERW
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C H A P T E R3Operations with Decim
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3-1Representing DecimalsMAIN IDEA
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3-2Comparing and Ordering DecimalsM
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3-3 Rounding DecimalsEXAMPLE Round
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3-4 Estimating Sums and Differences
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3-4Read the ItemThe addends are clu
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3-5WRITE ITExplain in your ownwords
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3-6 Multiplying Decimals by Whole N
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3-7Multiplying DecimalsEXAMPLES Mul
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3-8Dividing Decimals by Whole Numbe
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3-9EXAMPLES Zeros in the Quotient a
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3-10 Problem-Solving Investigation:
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Page 90 and 91:
Page 92 and 93: C H A P T E R3ChecklistARE YOU READ
Page 94 and 95: C H A P T E R4BUILD YOUR VOCABULARY
Page 96 and 97: 4-1A Plan for Problem SolvingMAIN I
Page 98 and 99: 4-1EXAMPLESWRITE ITWhy is the great
Page 100 and 101: 4-2BUILD YOUR VOCABULARY (pages 86-
Page 102 and 103: 4-3 Mixed Numbers and Improper Frac
Page 104 and 105: 4-4 Problem-Solving Investigation:M
Page 106 and 107: 4-5EXAMPLE Find the LCMREVIEW ITWhy
Page 108 and 109: 4-6ORGANIZE ITSummarize ways you ca
Page 110 and 111: 4-7 Writing Decimals as FractionsMA
Page 112 and 113: 4-8 Writing Fractions as DecimalsMA
Page 114 and 115: 4-9Algebra: Ordered Pairs and Funct
Page 116 and 117: 4-9EXAMPLESPETS Amelia feeds her do
Page 118 and 119: Chapter 4 BRINGING IT ALL TOGETHERM
Page 120 and 121: Chapter 4 BRINGING IT ALL TOGETHER4
Page 122 and 123: C H A P T E R5Operations with Fract
Page 124 and 125: 5-1 Rounding Fractions and Mixed Nu
Page 126 and 127: 5-2Problem-Solving Investigation: A
Page 128 and 129: 5-3®ORGANIZE ITUse the note cards
Page 130 and 131: 5-4Check Your Progresssimplest form
Page 132 and 133: 5-5 Adding and Subtracting Mixed Nu
Page 134 and 135: 5-5REMEMBER ITUse estimation tochec
Page 136 and 137: 5-6REMEMBER ITPlacing fractions ona
Page 138 and 139: 5-7EXAMPLE Simplify Before Multiply
Page 140 and 141: 5-8Check Your Progress WEIGHT A bag
Page 144 and 145: 5-10EXAMPLEADVENTURE RACING A team
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 158 and 159: 6-2BUILD YOUR VOCABULARY (pages 144
Page 160 and 161: 6-3FOOD You can buy 3 medium pizzas
Page 162 and 163: 6-4Algebra: Solving ProportionsEXAM
Page 164 and 165: 6-4EXAMPLE Solve Using Unit RatesWA
Page 166 and 167: 6-6 Sequences and ExpressionsMAIN I
Page 168 and 169: 6-6EXAMPLETEST EXAMPLE The table sh
Page 170 and 171: 6-7Write an equation to find the to
Page 172 and 173: C H A P T E R6BRINGING IT ALL TOGET
Page 176 and 177: C H A P T E R7Percent and Probabili
Page 178 and 179: Chapter 7 BUILD YOUR VOCABULARYVoca
Page 180 and 181: 7-1Check Your Progress Write each p
Page 182 and 183: 7-2Circle GraphsMAIN IDEA• Sketch
Page 184 and 185: 7-2Which two methods of transportat
Page 186 and 187: 7-3EXAMPLES Write a Decimal as a Pe
Page 188 and 189: 7-4BUILD YOUR VOCABULARY (pages 169
Page 190 and 191: 7-5Sample SpacesBUILD YOUR VOCABULA
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7-5BUILD YOUR VOCABULARY (pages 169
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7-6REVIEW ITUse mental math to solv
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7-8 Estimating with PercentsMAIN ID
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7-8EXAMPLETEST EXAMPLE Clairesurvey
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C H A P T E R8Systems of Measuremen
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Chapter 8 BUILD YOUR VOCABULARYVoca
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8-1Check Your Progress CRAYONS Meas
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8-2EXAMPLES Change Units of WeightE
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8-3REMEMBER ITOne centimeter isabou
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8-4Check Your Progress Write the me
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8-6 Changing Metric UnitsEXAMPLES C
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8-7Measures of TimeEXAMPLE Add Unit
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8-8EXAMPLES Give Reasonable Tempera
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C H A P T E R8ChecklistARE YOU READ
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C H A P T E R9BUILD YOUR VOCABULARY
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9-1 Measuring AnglesMAIN IDEA• Me
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203015030150170109-2Estimating and
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9-3Angle RelationshipsMAIN IDEA•
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9-4 TrianglesBUILD YOUR VOCABULARY
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9-4EXAMPLES Classify a Triangle by
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9-5BUILD YOUR VOCABULARY (pages 219
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9-7 Similar and Congruent FiguresMA
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9-7EXAMPLE Identify Similar Figures
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P T A E RH C9ChecklistARE YOU READY
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C H A P T E R10BUILD YOUR VOCABULAR
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10-1PerimeterMAIN IDEA• Find the
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10-2Circles and CircumferenceMAIN I
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10-2Check Your Progress Use a calcu
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10-3Check Your Progress Find the ar
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10-4®ORGANIZE ITWrite the formula
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10-6Volume of Rectangular PrismsMAI
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10-7Surface Area of Rectangular Pri
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C H A P T E R10BRINGING IT ALL TOGE
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Chapter 10 BRINGING IT ALL TOGETHER
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C H A P T E R11Integers and Transfo
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11-1 Ordering IntegersEXAMPLE Compa
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11-2Adding IntegersEXAMPLES Add Int
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11-2KEY CONCEPTAdding Integers The
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11-3WRITE ITThink about the numberl
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11-4Multiplying IntegersEXAMPLES Mu
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11-6Dividing IntegersEXAMPLES Divid
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11-6EXAMPLETEST EXAMPLE A scuba div
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11-7point SStep 1 Start at the orig
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11-8EXAMPLE Graph a TranslationTran
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11-9 ReflectionsMAIN IDEA• Graph
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11-10 RotationsMAIN IDEA• Graph r
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C H A P T E R12Algebra: Properties
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12-1The Distributive PropertyMAIN I
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12-2Simplifying Algebraic Expressio
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12-3Solving Addition EquationsMAIN
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12-1 12-3BUILD YOUR VOCABULARY (pag
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12-4BUILD YOUR VOCABULARY (page 292
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12-5EXAMPLE Solve a Multiplication
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