Grade 7 Middle School Math Solution

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Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC STANDARDSCluster7.N.1Read, write, represent, and comparerational numbers,expressed as integers, fractions, anddecimals7.N.2Calculate withintegers, with andwithout positiveinteger exponents,to solve real-worldand mathematicalproblems; explainthe relationshipbetween absolutevalue of a rationalnumber and thedistance of thatnumber from zeroMIDDLE SCHOOL MATH SOLUTION TEXTBOOKMATHiaModuleTopicLesson(page number)Course 22: Operatingwith SignedNumbers2: Multiplyingands DividingRationalNumbers2: Be Rational (M2-103)Course 1*4: Moving BeyondPositiveQuantities1: SignedNumbers1: Human Number Line(M4-7)7.N.1.3Recognize and generate equivalentexpressions of rational numbers,including equivalent fractionsCourse 22: Operatingwith SignedNumbers2: Multiplyingands DividingRationalNumbers1: Equal Groups (M2-89)2: Be Rational (M2-103)3: Building a WrightBrothers’ Flyer (M2-113)4: PropertiesSchmoperties (M2-125)7.N.2.1Estimate solutions to multiplicationand division of integers in order toassess the reasonableness of resultsCourse 22: Operatingwith SignedNumbers2: Multiplyingands DividingRationalNumbers1: Equal Groups (M2-89)2: Be Rational (M2-103)7.N.2.2Illustrate multiplication and divisionof integers using a variety ofrepresentationsCourse 22: Operatingwith SignedNumbers2: Multiplyingands DividingRationalNumbers1: Equal Groups (M2-89)2: Be Rational (M2-103)4: PropertiesSchmoperties (M2-125)1: Adding andSubtractingRationalNumbers2: Walk The Line (M2-17)3: Two-Color Counters(M2-31)4: What’s the Difference(M2-49)5: All Mixed Up (M2-69)2: Multiplyingands DividingRationalNumbers1: Equal Groups (M2-89)2: Be Rational! (M2-103)3: Building a WrightBrothers’ Flyer (M2-113)4: PropertiesSchmoperties (M2-125)StandardDescription7.N.1.1Know that every rational number canbe written as the ratio of two integersor as a terminating or repeatingdecimal.7.N.1.2Compare and order rational numbersexpressed in various forms using thesymbols , , or 7.N.2.37.N.2.4Solve real-world and mathematicalproblems involving addition,subtraction, multiplication, anddivision of rational numbers;use efficient and generalizableprocedures including but not limitedto standard algorithmsRaise integers to positive integerexponentsCourseCourse 2Course 1*2: Operatingwith SignedNumbers3: DeterminingUnknownQuantities1: Expressions1: Relationships Matter(M3-7)ModuleUnitWorkspace5: NegativeNumbersand the FourQuadrants1: Integers2: Representing Integerson Number Lines3: RationalNumberOperations1: IntegerOperations3: Multiplying and DividingIntegers1: IntegerOperations1: Adding and SubtractingIntegers2: Using Number Linesto Add and SubtractIntegers3: Multiplying and DividingIntegers1: IntegerOperations4: Using Order ofOperations to SimplifyNumeric Expressions(No Type In)5: Using Order ofOperations to SimplifyNumeric Expressions(Type In)3: RationalNumberOperations3: RationalNumberOperations*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 1

Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC STANDARDSClusterStandardDescriptionMIDDLE SCHOOL MATH SOLUTION TEXTBOOKCourseCourse 1*7.N.2.57.N.2(cont’d)7.A.1Understandthe concept ofproportionalityin real-world andmathematicalsituations, anddistinguishbetweenproportional andother relationshipsSolve Real world and mathematicalproblems involving calculationswith rational numbers and positiveinteger exponents7.N.2.6Explain the relationship betweenabsolute value of a rational numberand the distances of that numberfrom zero on a number line. Use thesymbol for absolute value.7.A.1.1Describe that the relationshipbetween two variables, x and y, isproportional if it can be expressed inthe form y/x k or y kx; distinguishproportional relationships from otherrelationships, including inverselyproportional relationships xy k ory k/x7.A.1.2Recognize the graph of aproportional relationship is aline through the origin and thecoordinates (1,r) where both r andthe slope are the unit rate (constantof proportionality, k)MATHiaModuleTopicLesson(page number)3: DeterminingUnknownQuantities1: Expressions1: Relationships Matter(M3-7)ModuleUnitWorkspaceCourse 22: Operatingwith SignedNumbers2: Multiplyingands DividingRationalNumbers3: Building a WrightBrothers’ Flyer(M2-113)4: PropertiesSchmoperties (M2-125)3: RationalNumberOperations1: IntegerOperations4: Using Order ofOperations to SimplifyNumeric Expressions(No Type In)5: Using Order ofOperations to SimplifyNumeric Expressions(Type In)Course 1*4: Moving BeyondPositiveQuantities1: SignedNumbers2: Magnificent Magnitude(M4-23)5: NegativeNumbersand the FourQuadrants1: Integers3: Using Absolute Value3: Proportionality1: How Does Your GardenGrow (M1-91)2: Complying with Title IX(M1-109)4: Minding Your Ps and Qs(M1-139)1: ProportionalRelationships3: RepresentingProportionalRelationships1: Introduction to DirectVariation2: Writing Direct VariationEquations3: Converting betweenProportions and DirectVariation Equations4: Modeling DirectVariation3: Proportionality1: How Does Your GardenGrow (M1-91)3: Fish-Inches (M1-127)4: Minding Your Ps and Qs(M1-139)1: ProportionalRelationships3: RepresentingProportionalRelationships5: DeterminingCharacteristics of DirectVariation GraphsCourse 21: ThinkingProportionallyCourse 21: ThinkingProportionally*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 2

Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC rtionalrelationships inreal-world andmathematicalsituations;represent theseand otherrelationships withtables, verbaldescriptions,symbols, andgraphs; solveproblems involvingproportionalrelationships andinterpret results inthe original context7.A.2.27.A.2.3DescriptionRepresent proportional relationshipswith tables, verbal descriptions,symbols, and graphs; translate fromone representation to another.Determine and compare the unit rate(constant of proportionality, slope,or rate of change) given any of theserepresentationsSolve multi-step problems involvingproportional relationships involvingdistance-time, percent increase ordecrease, discounts, tips, unit pricing,similar figures, and other real-worldand mathematical situationsUse proportional reasoning tosolve real-world and mathematicalproblems involving ratiosMIDDLE SCHOOL MATH SOLUTION TEXTBOOKCourseCourse 2Course 2Course 2Module1: ThinkingProportionally1: ThinkingProportionally1: ThinkingProportionallyTopic3: Proportionality4: ProportionalRelationships2: Fractional RatesMATHiaLesson(page number)Module1: How Does Your GardenGrow (M1-91)2: Complying with Title IX(M1-109)3: Fish-Inches (M1-127)4: Minding Your Ps and Qs(M1-139)1: Markups andMarkdowns (M1-161)2: Perks of Work (M1-177)3: No Taxation withoutCalculation (M1-197)4: More Ups and Downs(M1-209)5: Pound for Pound, Inchfor Inch (M1-223)1: Making Punch (M1-51)2: Eggzactly (M1-59)3: Tagging Sharks (M1-69)1: ProportionalRelationships2: ProportionalReasoning andPercents5: Geometry1: ProportionalRelationshipsUnitWorkspace3: RepresentingProportionalRelationshipsby Equations1: Introduction to DirectVariation2: Writing Direct VariationEquations3: Converting betweenProportions and DirectVariation Equations4: Modeling DirectVariation5: DeterminingCharacteristics of DirectVariation Graphs2: ProportionalReasoning andPercents1: Using Proportions toSolve Percent Problems2: Solving PercentProblems3: ProblemSolving withPercents usingProportionalRelationships1: Calculating PercentChange and FinalAmounts2: Using Percents andPercent Change2: Scale Drawings1: Using Scale Drawings2: Using Scale Factor1: ProblemSolving usingRatio and RateReasoning1: Problem Solving withEquivalent Ratios andRates using Tables2: Problem Solving withEquivalent Ratios andRates using DoubleNumber Lines3: Problem Solving withEquivalent Ratios andRates Using Graphs2: ProportionalReasoning1: Solving Proportionsusing Equivalent Ratios2: Solving Proportionsusing Means andExtremes*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 3

Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC STANDARDSClusterStandardDescriptionMIDDLE SCHOOL MATH SOLUTION TEXTBOOKCourseModuleTopic1: Circles andRatios2: Fractional Rates7.A.2(cont’d)7.A.3Represent andsolve linearequations andInequalities7.A.2.47.A.3.1Use proportional reasoning to assessthe reasonableness of solutionsWrite and solve problems leading tolinear equations with one variablein the form px q r and p(x q) r,where p, and q are non-negativerational numbersCourse 2Course 21: ThinkingProportionally3: ReasoningAlgebraicallyMATHiaLesson(page number)ModuleWorkspace2: Picture Algebra1: Using Picture Algebrawith Equations2: Modeling Two-StepEquations3: Solving TwoStep Equations2: Solving withMultiplication(No Type In)3: Solving withMultiplication (Type In)4: Solving with Division(No Type In)5: Solving with Division(Type In)6: Solving Two-StepEquations1: Pi: The Ultimate Ratio(M1-7)1: Making Punch (M1-51)2: Eggzactly (M1-59)3: Tagging Sharks (M1-69)3: Proportionality4: How Does Your GardenGrow? (M1-91)5: Complying with Title IX(M1-109)6: Fish-Inches (M1-127)7: Minding Your Ps and Qs(M1-139)4: ProportionalRelationships1: Markups andMarkdowns (M1-161)2: Perks of Work (M1-177)3: No Taxation withoutCalculation (M1-197)4: More Ups and Downs(M1-209)5: Pound for Pound, Inchfor Inch (M1-223)2: Two-StepEquations andInequalitiesUnit1: Picture Algebra (M3-53)2: Expressions that PlayTogether (M3-65)3: Formally Yours (M3-77)4: Two-StepEquations andInequalities*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 4

Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC STANDARDSClusterStandardDescriptionMIDDLE SCHOOL MATH SOLUTION TEXTBOOKCourseCourse 1*7.A.3.2Represent, write, solve, andgraph problems leading to linearinequalities with one variable of theform x p q and x p q, wherep and q are nonnegative rationalnumbersCourse 2Module3: DeterminingUnknownQuantities3: ReasoningAlgebraicallyTopic2: Equations2: Two-StepEquations andInequalitiesMATHiaLesson(page number)1: First Among Equals(M3-87)ModuleUnitWorkspace4: One-StepEquations andInequalities3: SolvingOne-StepInequalities1: Graphing Inequalitieswith positive RationalNumbers2: Solving One-Step LinearInequalities4: Two-StepEquations andInequalities4: Be Greater Than(M3-95)7.A.3(cont’d)7.A.3.3Represent real-world ormathematical situations usingequations and inequalities involvingvariables and rational numbers2: Two-StepEquations andInequalitiesCourse 23: ReasoningAlgebraically3: Multiple Representations ofEquations1: Picture Algebra (M3-53)2: Expressions that PlayTogether (M3-65)3: Formally Yours (M3-77)4: Be Greater Than(M3-95)1: Put It On the Plane(M3-125)2: Stretches, Stacks, andStructure (M3-139)3: Deep Flight I (M3-155)4: Two-StepEquations andInequalities2: Picture Algebra1: Using Picture Algebrawith Equations2: Modeling Two-StepEquations3. Solving withMultiplication(No Type In)4: Solving withMultiplication (Type In)5: Solving with Division(No Type In)6: Solving with Division(Type In)7: Solving Two-StepEquations “2: Picture Algebra1: Using Picture Algebrawith Equations2: Modeling Two-StepEquations3: Solving TwoStep Equations2: Solving withMultiplication(No Type In)3: Solving withMultiplication (Type In)4: Solving with Division(No Type In)5: Solving with Division(Type In)6: Solving Two-StepEquations4: ProblemSolving withTwo-StepEquations andInequalities1: Using Linear Equationsand Inequalities2: Solving Problems withIntegers3: Solving Problems withDecimals and Fractions*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 5

Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC STANDARDSClusterStandardDescriptionMIDDLE SCHOOL MATH SOLUTION TEXTBOOKCourseCourse 27.A.4.17.A.4Use order ofoperationsand propertiesof operationsto generateequivalentnumericaland algebraicexpressionscontaining rationalnumbers andgrouping symbols;evaluate suchexpressionsCourse 1*Course 1*7.A.4.27.GM.1Develop andUnderstand theconcept of surfacearea and volume ofrectangular prisms7.GM.2Determine the areaof trapezoids andarea and perimeterof compositefiguresUse Properties of operations (limitedto associative, commutative, anddistributive) to generate equivalentnumerical and algebraic expressionscontaining rational numbers,grouping symbols and whole numberexponents7.GM.1.27.GM.2.2Module2: Operatingwith SignedNumbers3: DeterminingUnknownQuantities3: DeterminingUnknownQuantitiesTopic2: Multiplyingands DividingRationalNumbers3: Building a WrightBrothers’ Flyer(M2-113)4: PropertiesSchmoperties (M2-125)1: Expressions1: Relationships Matter(M3-7)2: Into the Unknown(M3-23)3: Second Verse, Same asthe First (M3-35)4: Are They Saying theSame Thing? (M3-53)Find the Area and perimeter ofcomposite figures to solve real-worldand mathematical problemsModule3: RationalNumberOperations4: Two-StepEquations andInequalities3: RationalNumberOperationsUnitWorkspace1: IntegerOperations4: Using Order ofOperations to SimplifyNumeric Expressions(No Type In)5: Using Order ofOperations to SimplifyNumeric Expressions(Type In)1: VariableExpressions1: Factoring LinearExpressions2: Using Order ofOperations to SimplifyAlgebraic Expressions(No Type In)3: Using Order ofOperations to SimplifyAlgebraic Expressions(Type In)1: IntegerOperations4: Using Order ofOperations to SimplifyNumeric Expressions(No Type In)5: Using Order ofOperations to SimplifyNumeric Expressions(Type In)1: Expressions1: Relationships Matter(M3-7)3: RationalNumberOperations1: IntegerOperations4: Using Order ofOperations to SimplifyNumeric Expressions(No Type In)5: Using Order ofOperations to SimplifyNumeric Expressions(Type In)Apply understanding of order ofoperations and grouping symbolswhen using calculators and othertechnologiesUsing a variety of tools andstrategies, develop the concept thatvolume of a rectangular prism withrational-valued edge lengths can befound by counting the total numberof same-sized units cubes that fill ashape without gaps or overlap. Useappropriate measurements such ascm 3MATHiaLesson(page number)Course 23: ReasoningAlgebraically1: AlgebraicExpressions1: No Substitute for HardWork (M3-7)2: MathematicsGymnastics (M3-19)3: All My Xs (M3-33)Course 1*1: Composing andDecomposing3: Decimals andVolume1: Length, Width, andDepth (M1-115)6: GeometricMeasurement3: Volume andSurface Area1: Calculating Volume ofRight PrismsCourse 1*1: Composing andDecomposing1: Factors andArea2: All About that Base and Height (M1-15)6: GeometricMeasurement2: Area1: Developing AreaFormulas2: Calculating Area ofVarious Figures1: Factors andArea3: Slicing and Dicing(M1-51)2: Area4: Calculating Area ofComposite Figures1: Circles andRatio2: That’s a Spicy Pizza(M1-19)3: Circular Reasoning(M1-33)3: Circles1: CalculatingCircumference andArea of CirclesCourse 1*1: Composing andDecomposing6: GeometricMeasurement*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 6

Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC STANDARDSCluster7.GM.3Use reasoning withproportions andratios to determinemeasurementsjustify formulas,and solvereal-world andmathematicalproblems involvingcircles and relatedgeometric figures7.GM.4Analyze the effectsof dilations,translations, andreflections onthe attributes oftwo-dimensionalfigures on and offthe coordinateplane7.D.1Display andanalyze data in avariety of waysStandard7.GM.4.1DescriptionDescribe the properties of similarity,compare geometric figures forsimilarity, and determine scalefactors resulting from dilationsMIDDLE SCHOOL MATH SOLUTION TEXTBOOKCourseMATHiaTopicLesson(page number)ModuleUnitWorkspace1: TransformingGeometricObjects2: Similarity1: Pinch-Zoom Geometry(M1-109)2: Rising, Running,Stepping, Scaling(M1-125)3: From Here to There(M1-141)4: GeometricTransformations1: Transformations on theCoordinatePlane4: Dilating Plane Figures1: ThinkingProportionally4: ProportionalRelationships5: Pound for Pound, Inchfor Inch (M1-223)5: Geometry2: Scale Drawings1: Using Scale Drawings2: Using Scale Factor1: Rigid MotionTransformations3: Lateral Moves (M1-39)4: Mirror Mirror (M1-53)4: GeometricTransformations1: Transformations on theCoordinatePlane1: Translating PlaneFigures3: Reflecting Plane Figures5: Performing OneTransformationModuleCourse 3*7.GM.4.3Graph and describe translations andreflections of figures on a coordinateplane and determine the coordinatesof the vertices of the figure after thetransformationCourse 3*1: TransformingGeometricObjects7.D.1.1Design simple experiments, collectdata and calculate measures ofcentral tendency and spread (range).Use these quantities to drawconclusions about the data collectedand make predictionsCourse 1*5: DescribingVariability ofQuantities2: NumericalSummaries ofData1: In the Middle (M5-71)2: Box it Up (M5-87)7: Measuresof CentralTendency andData Displays1: Measuresof CentralTendency1: Calculating Mean,Median, Mode, andRange7.D.1.2Use Reasoning with proportions todisplay and interpret data in circlegraphs and histogram. Choose theappropriate data display and knowhow to create the display usinga spreadsheet or other graphingtechnologyCourse 1*5: DescribingVariability ofQuantities1: The StatisticalProcess1: What’s Your Question(M5-7)3: Using Histograms toDisplay Data (M5-47)7: Measuresof CentralTendency andData Displays2: Displays ofNumericalData3: Creating andInterpretingHistograms1: Introduction toProbability1: Rolling, Rolling, Rolling (M4-7)2: Give Models a Chance(M4-23)3: Toss the Cup (M4-33)4: A SimulatingConversation (M4-47)6: DataComparisonsand Probability2: Introduction toProbability1: DeterminingProbabilities2: CompoundProbability1: Evens or Odds (M4-73)2: Three Girls and No Boys(M4-89)7.D.2.1Determine the probability of anevent using the ratio between thesize of the event and the size of thesample space; represent probabilitiesas percents, fractions, and decimalsbetween 0 and 1Course 24: AnalyzingPopulationsandProbabilities*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 7

Grade 7 Middle School Math SolutionAlignment to Oklahoma Academic StandardsOKLAHOMA ACADEMIC STANDARDSCluster7.D.2Calculateprobabilties andreason aboutprobabilities usingproportions tosolve real-worldand ionCalculate the probability as a fractionof a sample space or as a fractionof area. Express Probabilities aspercents, decimals, or fractionsUse proportional reasoning to drawconclusions about and predictrelative frequencies based onprobabilitiesMIDDLE SCHOOL MATH SOLUTION TEXTBOOKCourseCourse 2Course 2Module4: AnalyzingPopulationsandProbabilities4: son(page number)1: Introduction toProbability1: Rolling, Rolling, Rolling (M4-7)2: Give Models a Chance(M4-23)3: Toss the Cup (M4-33)4: A SimulatingConversation (M4-47)2: CompoundProbability1: Evens or Odds (M4-73)2: Three Girls and No Boys(M4-89)1: Introduction toProbability3: Toss the Cup (M4-33)2: CompoundProbability1: Evens or Odds (M4-73)ModuleUnitWorkspace6: DataComparisonsand Probability2: Introduction toProbability1: DeterminingProbabilities6: DataComparisonsand Probability1: Introduction toProbability1: DeterminingProbabilities*See supplemental materials on Carnegie Learning’s microsite at: ade 7 Middle School Math Solution: Alignment to OAS 8

08/15/17 Grade 7 Middle School Math Solution: Alignment to OAS 1 Grade 7 Middle School Math Solution Alignment to Oklahoma Academic Standards OKLAHOMA ACADEMIC STANDARDS MIDDLE SCHOOL MATH SOLUTION TEXTBOOK MATHia Cluster Standard Description Course Module Topic Lesson (page number) Module

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