Cunningham Math Scope & Sequence Grade 6

Transcription

1 CunninghamMathScope&SequenceGrade6 Unit1:NumberSenseandOperations(September October) Vocabulary:Absolutevalue,additiveinverse,associativepropertyofaddition/multiplication,commutativepropertyofaddition/multiplication,distributiveproperty, estimate,exponent,exponentialform,identitypropertyofaddition/multiplication,operation,orderofoperations,power,rationalnumber,zeropropertyofmultiplication, greatestcommonfactor(gcf),leastcommonmultiple(lcm),primenumber,compositenumber,represent,identify,evaluate Pacing Essential Questions Content Howcanyou Acuity Diagnostic representvery Assessment Learning Styles Inventory Assessment Review computational math skills ( +, -, x, ) Review word problem strategies aretheyused? 5.A.7 Create and explain patterns and algebraic relationships(e.g., 2, 4, 6, 8 ) algebraically: 2n (doubling) smallandvery largenumbers? Whatare exponentsand how Howcanyouuse primenumbers, composite numbers,factors, multiples,gcf s andlcm sto solveproblems? Howcanyouuse prime factorization? 5.A.8 Create algebraic or geometric patterns using concrete objects or visual drawings. 6.N.1 Read and write whole numbers to trillions Suggested Activities CommonCore Alignment WebResources m/mathgames/arithmetic/arithme tic.htm Use square cubes to investigate exponents of the 2 nd and 3 rd power. Use a calculator to extend to larger exponents. CoveredbyFifth GradeCCLS on/urikamultires.html ml

2 6.N.23 Represent repeated multiplication in exponential form. Howcanyouuse estimation proceduresto checkthe reasonablenessof your 6.N.24 Represent exponential form as repeated multiplication. CunninghamMathScope&SequenceGrade6 Use square cubes to investigate exponents of the 2 nd and 3 rd power. Use a calculator to extend to larger exponents. 6.EE.2 answers? 6.N.25 Evaluate expressions having exponents where the power is an exponent of one, two, or three. Howarethe various 6.N.22 Evaluate numerical expressions using order of operations operation (may include related? exponents of two and three) Compare answers to a variety of problems with multiple operations to discover the need for an "order of operations" 6.EE.1 6.EE.2 /mathgames/arithmetic/arithmetic. htm Howcanyou justifystepsin 5.N.24 Review rounding solvingproblems? 6.N.27 Justify the reasonableness of answers using estimation(including rounding) Estimateandthencalculatethe numberofstairstepsneededtoreach fromtheearthtothemoon. Estimatethecostofgasolineforthe averagedriveroveraone yearperiod. Reevaluateestimationiftherewerea 10 centincreasepergallon.discuss impactofincreaseonafixedsalary. NotCoveredby CCLS 6.N.2 Define and identify the commutative properties of addition and multiplication. Applythedistributivepropertyandthe orderofoperationstodeterminethe sameanswertoagivenproblem(e.g., CoveredbyThird GradeCCLS

3 6.N.3 Define and identify the distributive property of multiplication over addition. 6.N.4 Define and identify the identity and inverse operations of addition and multiplication 6.N.5 Define and identify the zero property of multiplication CunninghamMathScope&SequenceGrade6 3(8+4)) 6.N.13 Define absolute value and determine the absolute value of rational numbers (including positive and negative). 6.N.14 Locate rational numbers on a number line (including positive and negative). 6.N.15Orderrational numbers(includingpositive andnegative). 6.NS.7 6.NS.5 Whatarethe divisibility rulesandhow aretheyused todetermineif anumberis primeor 5.N.12 Review prime and composite numbers 5.N.13 Review calculating multiples of a whole number and the least common multiple of two numbers 5.N.14 Review factors of a given number Use the Sieve of Eratosthenes to discover prime numbers from Use factor trees to discover the GCF in order to simplify fractions Build all possible rectangular arrays using 1 sq. unit, 2 sq. units and so on. Find a relationship between prime, composite and square numbers within the array.

4 composite? Howcan exponentsbe usedto illustratea number s prime factorization? 5.N.15 Review finding common factors and the greatest common factor of two numbers Determine the prime factorization of a given number and write in exponential form CunninghamMathScope&SequenceGrade6 Unit2:Understanding & Applying Fractions (October) Vocabulary: Compatible Numbers, Mixed Number, GCF, Multiplicative Inverse, Reciprocal, Equivalent Fractions, Simplest Form, Terminating Decimals, Repeating D Percent, Factor, Multiple, LCM, Common Denominator, LCD, Pacing Essential Questions Content Suggested Activities CommonCore Alignment WebResources Howarewhole numbers, 5.N.14 Identify the factors of a given number fractions, 5.N.19 Simplify fractions to decimalsand lowest terms. percents relatedtoone another? Howdoyoudo base operations 6.N.20 Represent fractions as terminating or repeating UsefactortreestodiscovertheGCFin ordertosimplifyfractions. Usinganumberline,orderalistofwhole numbers,fractionsanddecimalsfromleast togreatestorviceversa. Show5waystomodel.45byusing d%20like%20mad%20math/subtractio Coveredby SeventhGrade

5 withfractions? decimals Decimals? Howcanyou useprime numbers, 6.N.15 Order rational numbers (including positive and negative). composite numbers, 6.N.21 Find multiple factors, multiples, GCF sand LCM stosolve representations of rational numbers (fractions, decimals, and percents 0 to100) problems? Howcanyou 5.N.13Calculate multiples of a whole number and the LCM of two numbers. useestimation 6.N.16 Add and subtract fractions with unlike denominators.. proceduresto checkthe reasonableness ofyour answers? 6.N.17 Multiply and divide fractions with unlike denominators..6.n.19identify the multiplicative inverse (reciprocal) of a number. CunninghamMathScope&SequenceGrade6 manipulatives,pictures,orwriting. Investigateequivalenceamongfractions, decimals,andpercentsbyusingconcrete representations Writeasetofdirectionsforayounger studentexplaininghowtoaddfractions. Usea10x10gridtodemonstratea multiplicationoffractionsproblem. CCLS 6.NS.5,6.NS.7 Coveredby FourthGrade CCLS Coveredby FifthGrade CCLS 6.NS.1.6.N.18Add and subtract, multiply and divide mixed numbers with Unlike denominators

6 CunninghamMathScope&SequenceGrade6 Unit3:RatioandProportion(November) Vocabulary:Equivalent Ratios, Ratio, Rate, Unit Rate, Proportion, Cross Product, Percent, Part, Base, Extremes, Means, Equation, Solve Pacing EssentialQuestions Content SuggestedActivities CommonCore Alignment WebResources Whatareratiosandhoware 6.N.6 Understand the concept theyused? of rate 6.RP.2 6.N.7 Express equivalent ratios as proportions 6.RP.1 6.RP.3 6.N.8 Distinguish the difference between rate and ratio 6.RP.3 6.N.9, 6.N.10 Solve proportions using equivalent fractions. Verify proportionality using the product of the means equal to the product of the extremes. 6.A.5 - Solve simple proportions within context Measurelengthandwidth ofseveralrectanglesto investigatethegoldenratio. Analyze and compare two different size bottles of aspirin as to number of doses and unit prices. Compute price of each 6.RP.3 6.RP.3

7 CunninghamMathScope&SequenceGrade6 dose for each container.

8 CunninghamMathScope&SequenceGrade6 Unit4:Percents(December) Vocabulary:Percent,RationalNumber,Fraction,Decimal,Quantity,Rate,Base,Estimate,Justify Pacing EssentialQuestion Content SuggestedActivities CommonCore Alignment WebResources 6.N.11 - Read, write, and identify percents of a whole from 0-100%. 6.N.21 Find multiple representations of rational numbers (fractions, Howdofractions, decimals,andpercents relatetoeachother, andhowdoyou convertbetweeneach form? decimals, and percents 0-100%). 6.N.12 Solve percent problems involving percent, rate, and base 6.RP.3 6.RP.3 Howcanyouuseestimation procedurestocheckthe reasonablenessofyour 6.N.26 Estimate the percent of quantity 6.N.27 - Justify the reasonableness of an answer using rounding and estimates. NotCoveredby CC answer? Howcanyoujustifystepsin

9 solvingproblemsusing roundingandestimates? CunninghamMathScope&SequenceGrade6

10 CunninghamMathScope&SequenceGrade6 Unit5:Measurement (December-January) Vocabulary: customary, metric, equivalent, capacity, personal reference for capacity, estimate, cup, pint quart, gallon, liter, milliliter, Pacing EssentialQuestions Content SuggestedActivities CommonCore Alignment WebResources 6.M.2 Identifythecustomary unitsofcapacity(cups,pints, quarts,andgallons). 6.M.3,6.M.9 Identifyequivalentcustomary unitsofcapacity(cupstopints, pintstoquarts,quartsto gallons).determinepersonal referencesofcapacity. CoveredbyFifth GradeCCLS CoveredbyFifth GradeCCLS HowdoU.S. measurement unitscomparetometric measurementunits? 6.M.4,6.M.5 Identifymetricunitsofcapacity (literandmilliliter). Identifyequivalentmetricunits ofcapacity(millilitertoliter and litertomilliliter). Measure5objects(to includeweight,volume, length)inthemetric systemandestimatethe USconversion.Measure intheussystemto determineclosenessof estimate. CoveredbyFifth GradeCCLS Unit6:Geometry(January)

11 CunninghamMathScope&SequenceGrade6 Vocabulary::Angle,Degrees,Vertex,AcuteAngle,RightAngle,ObtuseAngle,StraightAngle,Triangle,AcuteTriangle, Rhombus,SimilarFigures,Proportion,RightTriangle,ObtuseTriangle,Congruent,ScaleneTriangle,IsoscelesTriangle,EquilateralTriangle,Quadrilateral, Parallelogram,Trapezoid Pacing EssentialQuestions Content SuggestedActivities CommonCore Alignment WebResources 5.M.B Measureand Howcanyoudetermine theinterioranglesumof drawanglesusinga protractor. atriangle?rectangle? 5.G.6 Classifytriangles bypropertiesoftheir anglesandsides Howcanyoudetermine 5.G.4 Classify themeasurementofan quadrilateralsby angle?linesegment? propertiesoftheir anglesandsides Howcanyouidentify special quadrilaterals? Special triangles? 6.G.1,6.G.3 Calculatethelengthof correspondingsidesof similartrianglesusing proportionalreasoning anddevelopingformula CoveredbySeventh GradeCCLS Distinguishthe differencebetween ratioandrate.

12 CunninghamMathScope&SequenceGrade6 Unit7::Geometry:MeasuringTwo DimensionalFigures(January February) Vocabulary::Base,Height,Pi,Trapezoid,Probability Pacing EssentialQuestions Content SuggestedActivities CommonCore WebResources

13 CunninghamMathScope&SequenceGrade6 Alignment Howdoyoufindthe 6.G.2 Determinetheareaof perimeterandareaof trianglesandquadrilateralsand shapes? developtheformulas. Howare2dimensional and3dimensionalfigures 6.G.3 Useavarietyofstrategies tofindtheareaofregularand irregularpolygons. thesame/different? 6.G.4 Determinevolumeofa rectangularprismbycounting cubesanddevelopingformula V=lwh 6.M.1,6.M.6 Measurecapacityandcalculate volume Determineappropriatetooland techniquetomeasurecapacity Find the perimeter of regular and irregular shaped objects in and around your school using metric and customary rulers. Use manipulatives to find the relationship of area and perimeter. Select a shape to represent one unit of area measurement. Use the unit to find the area of plane figures. Estimate actual dimensions of a house given a 3- dimensional model with 1inch representing 1 foot Work in groups to make a family tree or hierarchy for quadrilaterals using the attributes they've learned 6.G.1 6.G.2 6.G.2 CoveredbyFifth GradeCCLS 6.G.7,6.G.9 Determinetheareaand circumferenceofacircleusing theappropriateformula. Coveredby SeventhGrade CCLS Understandrelationshipbetween circumferenceanddiameterofa circle

14 CunninghamMathScope&SequenceGrade6 Unit 8: Statistics: Analyzing Data (February) Vocabulary: Statistics, Data, Scale, Interval, Measures of Central Tendency, Mean, Median, Mode, Range, Pacing EssentialQuestions Content SuggestedActivities CommonCore Alignment WebResources

15 Howdoestheanalysisof 6.S.7, 6.S.8 dataandgraphsguide Read and interpret graphs. Justify predictions made from consumerdecisions? data Howdoyoudecidewhich 6.S.5 Determine the mean, typeofgraphisappropriate median, and mode for a given fordifferentsetsofdata? set of data. Whenarethemeasuresof 6.S.6 Determinetherange centraltendency(mean, foragivensetofdata mode,median,andrange) appropriateinconnectionto data? Unit9:Algebra: Expressions and Equations (March) CunninghamMathScope&SequenceGrade6 Givenavarietyofdata setsforwhichtheymust matchtoanappropriate displaymethodand defendwhytheychose thatmethod. Collectinstanceswhere statisticsareusedin advertising.discuss casesofmisinformation Record#ofhoursthat theyspendstudying, watchingtv,sleeping andattendingschool. Lookforapattern. Predictthenumberof hoursthattheywill spenddoingoneof theseactivitiesnext week Vocabulary: Expression, Equation, Evaluate, Inverse Operations, Solve, Substitute, Translate, Variable 6.SP.5 6.SP.1 6.SP.2 6.SP.3 Pacing EssentialQuestions Content SuggestedActivities CommonCore Alignment WebResources Howdoyouevaluatea 6.A.1 Translate two-step verbal expressions into 6.EE.6,6.EE.7,

16 CunninghamMathScope&SequenceGrade6 solutiontoanequation? algebraic expressions 6.EE.8 Howareinverse operationsusedin solvingequations? Howdovariables, expressionsand 6.A.2 Use substitution to evaluate algebraic expressions (may include exponents of one, two, and three) equationsdiffer? 6.A.3 Translate two-step verbal sentences into algebraic equations 6.A.4 Solve and explain twostep equations involving whole numbers using inverse operations 6.EE.26.EE.5 6.EE.6,6.EE.7, 6.EE.8 6.EE.5,6.EE.7, 6.EE.8. Unit10:Statistics & Probability (April) Vocabulary: Compound events, data, dependent event favorable outcomes justify, possible outcomes, predict, probability, sampling, statistics, Venn diagram Pacing EssentialQuestions Content SuggestedActivities CommonCore Alignment WebResources Howareprobabilityand statisticsusedin reallife? 6.S.9 - List possible outcomes for Brainstormwhere probabilityisusedin

17 Howcanyoudeterminethe compound events numberofpossibleoutcomes inaprobabilityproblem? Howdorangeandthe 6.S.10 Determine the measuresofcentraltendency probability of dependent helpyouunderstandasetof data? events 6.S.11 Determine the number of possible outcomes for a Howcanstatisticsbe compound event by using the misleading? fundamental counting Whyisitnecessarytoknow theprobableoutcomeof certainevents? principle and use this to determine the probabilities of events when the outcomes have equal probability CunninghamMathScope&SequenceGrade6 everydaylife.students willthenbegina probabilitycollection inwhichexamplesof probabilityareseenin newspapers,reports, magazines,etc. Collectinstanceswhere statisticsareusedin advertising.discuss casesofmisinformation Coveredby SeventhGrade CCLS