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Fifth Grade – Trimester 1 (page 1 of 2)It is essential that these standards be addressed in contexts that promote problem solving, reasoning, communication, making connections, and designing and analyzingrepresentations.State Learning ConceptReviewing the concepts of multi-digit multiplicationmay be necessary for your students’ understanding ofthese new concepts.5.2 Number, Operations, and Algebra (NOA)-Develop anunderstanding of and fluency with division of wholenumbers.5.2.1 Apply understanding of models for division (e.g.,equal-sized groups, arrays, area models, equal intervals onthe number line) and the relationship of division tomultiplication to solve problems.5.2.2 Apply concepts of place value and the properties ofoperations to solve the problems involving division.5.2.3 Select and use appropriate estimation strategies fordivision (e.g. use benchmarks, overestimate,underestimate, round) to calculate mentally based on theproblem situation when computing with whole numbers.5.2.4 Develop and use accurate, efficient, andgeneralizable methods to find quotients for multi-digitdivision problems.5.2.5 Develop fluency with efficient procedures for dividingwhole numbers and justify why the procedures work on thebasis of place value and number properties.5.2.6 Determine the most appropriate form of the quotientand interpret the remainder in a problem situation.5.1.3 Select and use appropriate strategies to estimatefractions and decimal sums and differences.5.1.1 Use fraction models to represent the addition andsubtraction of fractions with unlike denominators.5.1.5 Solve problems involving addition and subtraction offractions and decimals.2014-2015 Common Core StateStandards (CCSS)CC.5.NBT.1 Recognize that in a multi-digitnumber, a digit in one place represents 10times as much as it represents in the placeto its right and 1/10 of what it represents inthe place to its left. **From 4 th grade**CC.5.NBT.2 Explain patterns in thenumber of zeros of the product whenmultiplying a number by powers of 10, andexplain patterns in the placement of thedecimal point when a decimal is multipliedor divided by a power of 10. Use wholenumber exponents to denote powers of 10.**From 6 th grade**CC.5.NBT.5 Fluently multiply multi-digitwhole numbers using the standardalgorithm. **From 4 th grade**CC.5.NBT.6 Find whole-number quotientsof whole numbers with up to four-digitdividends and two-digit divisors, usingstrategies based on place value, theproperties of operations, and/or therelationship between multiplication anddivision. Illustrate and explain thecalculation by using equations, rectangulararrays, and/or area models.CC.5.NF.1 Add and subtract fractions withunlike denominators (including mixednumbers) by replacing given fractions withequivalent fractions in such a way as toproduce an equivalent sum or difference offractions with like denominators.Proficiency Targets byTrimester5.2.1 Area array model, equalgroups, number line models,repeated addition/subtractionThru the thousandths place5.2.3 Compatible numbers5.2.4 Single and double digitdivisor5.2.5 Checking divisionproblems using multiplication5.1.3 Understanding within thecontext of the problem theneed to eliminate or use(round up, round down, or useexactly)5.1.1 and 5.1.5 Fractions onlyTrimester 1 (decimals inTrimester 2)Repeated in Trimester 2Vocabulary orKey TermsDecimal, DifferencesHundredthsPlace valueSums, TenthsThousandthsArea modelsArrayDividendDivisorEqual intervalsEqual size groupsMultipleNumber lineProductBenchmarkCompatible numberMulti digitOverestimatePlace valueQuotientRoundUnderestimateDecimalFractionPrimeRemainderProgram Resourcesfor the 1 st trimesterInvestigations:Unit 1 all investigationsUnit 7 all investigationsUnit 4 Investigations 2 +3 to introduce5.1.1 and 5.1.5Kim Sutton:10- Block pg. 20-35 (may start with earlierpages if needed)Fractions: a part of the wholeCritical Fraction Questions pg. 8Fraction Booklet pg. 10-43Chocolate Fraction pg. 44-49Fraction Circles pg. 50-67Square Fractions pg. 82-89Pattern Block Fractions pg. 90-99Pattern Block Games pg. 100-109Chip Fractions pg. 110-121Word Fractions pg. 122-125Number Line Fractions pg. 144-157Race Track Fractions pg. 158-161Equivalent Fraction Trail pg. 162-167Number Corner:Calendar gridNovember: ordering, modeling,and comparing fractionsSupport ActivitiesWhat’s Missing? Bingo 14Spin and Multiply 18Moolah on My Mind 19More or Less Multiplication 20Spin & Multiply Big Time 31Multiplication Tic-Tac-Toe 36Divide ‘Em Up 32Remainder Round-up 37