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Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)TIMEFRAMEUNIT/CONCEPTSSeptemberCourse 1A Content(10 days)Chapter 1: PositiveNumbers and theNumber LineCORE GOALS & SKILLSBig Idea: Whole numbers, fractions, anddecimals are numbers that can be representedin several ways.1.1 The Number Line Represent whole numbers, fractionsand decimals on a number line Interpret and write statements ofinequality for two given positivenumbers using the symbols and 1.2 Prime Factorization Express a whole number as a productof its prime factors.1.3 Common Factors and Multiples Find the common factors and thegreatest common factor of twowhole numbers. Find the common multiples and theleast common multiple of two wholenumbers.1.4 Squares and Square roots Find the square of a number. Find the square root of a perfectsquare.1.5 Cubes and Cube Roots Find the cube of a number. Find the cube root of a perfect cube. Evaluate numerical expressionsinvolving whole number exponents.7/3/2018PA ELIGIBLESTANDARDS &ASSESSMENTSCC.2.1.6.E.2 Identify andchoose appropriate processesto compute fluently withmulti-digit numbers.CC.2.1.6.E.3 Develop and/orapply number theoryconcepts to find commonfactors and multiples.CC.2.1.6.E.4 Apply andextend previousunderstandings of number tothe system of rationalnumbers.CC.K-12.MP.1 Solveproblems and persevere insolving them.CC.K-12.MP.2 Reasonabstractly andquantitatively.CC.K-12.MP.3 Constructarguments and critique thereasoning of others.ResourcesRecall PriorKnowledge(RPK)Findingfactors,multiples andsimplifying anumericalexpression.Chapter 1Pre-TestMIF TextbookA p. 3 -41ALEKS andQuick tablesVocabularyNumber linePositive numberCompositenumberPrime factorCommon factorGreatest commonfactorCommonmultipleLeast commonmultipleSquare (of anumber)ExponentBase (of anexponent)Perfect squareSquare rootCube (of anumber)Perfect cubeCube rootCC.K-12.MP 4 Model withmathematics.CC.K-12.MP.6 Attend toprecision1

Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)CC.K-12.MP.7 Look for anduse structure.CC.K-12.MP.8 Look for andexpress regularity inrepeated reasoning.Initial Knowledge Check –ALEKSChapter 1 Test – Math inFocusSeptember(7 days)Chapter 2: Negativenumbers and thenumber lineBig Idea: Negative numbers are theopposites of positive numbers. For everypositive number there is a correspondingnegative number.2.1 Negative numbers Use negative numbers to representreal-world quantities. Represent compare and orderpositive and negative numbers on anumber line,2.2 Absolute value Understand the absolute value of thenumber is its distance from 0 on thenumber line. Interpret absolute value asmagnitude for a positive or negativequantity in a real-world situation.CC.2.1.6.E.4 Apply andextend previousunderstandings of number tothe system of rationalnumbers.CC.K-12.MP.1 Solveproblems and persevere insolving them.CC.K-12.MP.2 Reasonabstractly andquantitatively.RPK:Representingpositivenumbers on anumber linep. 43Chapter 2pre-testMIF TextbookA p. 42-61NegativenumberOppositeAbsolute valueALEKS andQuick tablesCC.K-12.MP 4 Model withmathematics.CC.K-12.MP.7 Look for anduse structure.Chapter 2 Test – Math inFocus7/3/20182

Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)October(14 days)Chapter 3:Multiplying andDividing Fractionsand DecimalsBig Idea: Whole number concepts can beextended to fractions and decimals whenmore precise calculations are needed.3.1 Dividing Fractions Divide a fraction, whole number, ormixed number by a fraction or amixed number.3.2 Multiplying Decimals Multiply a decimal by a decimal.3.3 Dividing Decimals Divide a whole number or a decimalby a decimal.3.4 Real-world problems: Fractions andDecimals Sole problems involving fractionsand decimals.CC.2.1.6.E.1 Apply andextend previousunderstandings ofmultiplication and division todivide fractions by fractions.CC.2.1.6.E.2 Identify andchoose appropriate processesto compute fluently withmulti-digit numbers.CC.2.1.6.E.3 Develop and/orapply number theoryconcepts to find commonfactors and multiples.CC.K-12.MP.1 Solveproblems and persevere insolving them.RPK:add/subtractdecimals &improperfractions asmixednumbersp. 63reciprocalsChapter 3pre-testMIF TextbookA p. 62-110ALEKS andQuick tablesCC.K-12.MP.2 Reasonabstractly andquantitatively.CC.K-12.MP.3 Constructarguments and critique thereasoning of others.CC.K-12.MP 4 Model withmathematics.CC.K-12.MP.8 Look for andexpress regularity inrepeated reasoning.Chapter 3 Test – Math inFocus7/3/20183

Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)Cumulative Review Chapters1-3OctoberNovember(10 days)Chapter 4: RatioBig Idea: You can use a ratio to comparetwo quantities and you can use ratios to solveproblems.4.1 Comparing two quantities Write ratios to compare twoquantities. Interpret ratios given in fractionform. Use a ratio to find what fraction onequantity is of another or how manytimes as great one is as the other.4.2 Equivalent ratios Write equivalent ratios. Write ratios in simplest form. Compare ratios.4.3 Real-world problems: Ratios Solve real-world problems involvingratiosCC.2.1.6.D.1 Understandratio concepts and useratio reasoning to solveproblems.CC.2.1.6.E.2 Identify andchoose appropriate processesto compute fluently withmulti-digit numbers.CC.2.1.6.E.3 Develop and/orapply number theoryconcepts to find commonfactors and multiplesRPK:Equivalentfractionsexpressed bymultiplicationand divisionp. 115RatioTermEquivalent ratiosSimplest formChapter 4pre-testMIF TextbookA p. 118-153ALEKS andQuick tablesCC.K-12.MP.1 Solveproblems and persevere insolving them.CC.K-12.MP.2 Reasonabstractly andquantitatively.CC.K-12.MP.3 Constructarguments and critique thereasoning of others.CC.K-12.MP 4 Model withmathematics.CC.K-12.MP.6 Attend toprecision7/3/20184

Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)CC.K-12.MP.7 Look for anduse structure.Chapter 4 Test – Math inFocusNovember(8 days)Chapter 5: RatesBig Idea: You can use a rate to compare onequantity to another quantity, and use rates tosolve problems.5.1 Rates and unit rates Sole unit rate problems includingpricing and constant speed.5.2 Real-world problems involving rates andunit rates Solve problems involving unit ratesCC.2.1.6.D.1 Understandratio concepts and useratio reasoning to solveproblems.CC.2.1.6.E.2 Identify andchoose appropriate processesto compute fluently withmulti-digit numbers.RPK:Multiplyingwholenumbers,mixednumbers, andfractionsp. 155CC.K-12.MP.1 Solveproblems and persevere insolving them.Chapter 5pre-testMIF TextbookA p. 159-181CC.K-12.MP.2 Reasonabstractly andquantitatively.ALEKS andQuick tablesRateUnit rateSpeedAverage speedCC.K-12.MP.3 Constructarguments and critique thereasoning of others.CC.K-12.MP 4 Model withmathematics.CC.K-12.MP.6 Attend toprecisionCC.K-12.MP.7 Look for anduse structure.7/3/20185

Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)CC.K-12.MP.8 Look for andexpress regularity inrepeated reasoning.December(9 days)Chapter 6: PercentBig Idea: Percent is a concept used tocompare quantities expressed per hundred6.1 Understanding percent Understand percent notation. Write equivalent fractions, decimals,and percents.6.2 Fractions, decimals, and percents Write more equivalent fractions,decimals, and percents.6.3 Percent of a quantity Find the percent of a number6.4 Real-world problems: Percent Sole problems involving percent6.5 Percent of change Sole problems involving percentincrease and decrease.CC.2.1.6.D.1 Understandratio concepts and useratio reasoning to solveproblems.CC.K-12.MP.1 Solveproblems and persevere insolving them.CC.K-12.MP.2 Reasonabstractly andquantitatively.CC.K-12.MP.3 Constructarguments and critique thereasoning of others.CC.K-12.MP.4 Model withmathematics.RPK: mplifyingfractionsusing divisionp. 183PercentBaseSales taxCommissionInterestInterest rateMarkupDiscountChapter 6pre-testMIF TextbookA p. 185-213ALEKS andQuick tablesCC.K-12.MP.5 Reasonabstractly andquantitativelyCC.K-12.MP.6 Attend toprecisionCC.K-12.MP.7 Look for anduse structure.CC.K-12.MP.8 Look for andexpress regularity inrepeated reasoning.7/3/20186

Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)DecemberJanuary(12 days)Chapter 7: AlgebraicexpressionsBig Idea: Algebraic expressions can be usedto describe situations and sole real-worldproblems.7.1 Writing algebraic expressions Use variables to write algebraicexpressions.7.2 Evaluating algebraic expressions Evaluate algebraic expressions forgiven values of the variable.7.3 Simplifying algebraic expressions Simplify algebraic expressions inone variable. Recognize that the expressionobtained after simplifying isequivalent to the original expression.7.4 Expanding and factoring algebraicexpressions Expand simple algebraic expressions Factor simple algebraic expressions.7.5 Real-world problems: Algebraicexpressions Sole real-world problems involvingalgebraic expressions.CC.2.2.6.B.1 Apply andextend previousunderstandings ofarithmetic to algebraicexpressions.CC.2.2.6.B.2 Understandthe process of solving aone-variable equation orinequality and apply it toreal-world andmathematical problems.RPK: Usingbar modelsp. 219Chapter 7pre-testMIF TextbookA p. 221-252ALEKS andQuick tituteSimplifyCoefficientLike termsEquivalentexpressionsExpandfactorCC.K-12.MP.1 Solveproblems and persevere insolving them.CC.K-12.MP.2 Reasonabstractly andquantitatively.CC.K-12.MP.3 Constructarguments and critique thereasoning of others.CC.K-12.MP.4 Model withmathematics.CC.K-12.MP.5 Reasonabstractly andquantitativelyCC.K-12.MP.6 Attend toprecisionCC.K-12.MP.7 Look for anduse structure.7/3/20187

Grade 6 Curriculum Map 2018-19Key: Math in Focus Course 1 (MIF)CC.K-12.MP.8 Look for andexpress regularity inrepeated reasoning.JanuaryFebruary(12 days)Chapter 8: Equationsand InequalitiesBig Idea: Equations and inequalities can beused to describe situations and solve realworld problems.8.1 Solving algebraic equations Solve equations in one variable8.2 Writing linear equations Express the relationship between twoquantities as a linear equation. Use tales and graphs to representlinear equations8.3 Solving simple inequalities Use substitution to determinewhether a given number is a solutionof an inequality8.4 Real- world problems: Equations andinequalities Solve real-world problems bywriting equations Sole real-world problems by writinginequalities.CC.2.1.6.E.4 Apply andextend previousunderstandings of numbersto the system of rationalnumbers.CC.2.2.6.B.2 Understandthe process of solving aone-variable equation orinequality and apply it toreal-world andmathematical problems.CC.2.2.6.B.3 Represent andanalyze quantitativerelationships betweendependent and independentvariables.RPK:Comparingsymbols andusingvariables towritealgebraicexpressionsp. 3EquationSolutionLinear lityChapter 8pre-testMIF TextbookB p. 3-37ALEKS andQuick tablesCC.K-12.MP.1 Solveproblems and persevere insolving them.CC.K-12.MP.2 Reasonabstractly andquantitatively.CC.K-12.MP.3 Constructarguments and critique thereasoning of others.CC.K-12.MP.4 Model withmathematics.7/3/20188