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2013-2014 Curriculum Map Grade 4 Math

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SAUSD Common Core Aligned <strong>Curriculum</strong> <strong>Map</strong>: <strong>Grade</strong> 4 <strong>Math</strong>ematicsTTIMELINE4 weeksDecember to Late January4 WeeksLate January to Late February4 WeeksMarchTRIMESTER 2 UNIT 4 UNIT 5 UNIT 6TITLEWhole Number Division Fraction Equivalence Operations with FractionsEND OF UNITPERFORMANCETASKBIG IDEAS ANDESSENTIALQUESTIONWrite a story problem for a givenexpression. Solve the problem, explainingthe steps in the process.Big Idea: Quantities can be divided intoequal groups.• How is repeated subtraction related toequal groups in division? What are thepatterns that occur?• How can you prove the properties ofmultiplication and the rules of division?• What is another way to solve a divisionproblem using a different algorithm?• How is a remainder expressed?• Where have you used division to solve aproblem in your life?Create a floor plan of a house with givenfractional parts for each room.Big Idea: Relationships between portionscan be represented in many ways.• How can you represent fractions using anarea model?• How can you represent fractions using anumber line?• What are some equivalent representationsfor fractions and mixed numbers?• How can you represent/compare fractionsthat are related to different wholes?Compute the distance traveled whengiven fractional numbers.Big Idea: Portions can be combined orseparated in many ways.• What are some ways that fractions can becombined or separated?• How can addition and subtraction offractions be applied to real life situations?• How does the size of the factors affect thesize of the product?• How can the multiplication of fractions beapplied to real life situations?COMPLEX TEXTS /RESOURCES HM Chapters 6, 12, 13, 14 HM Chapters 17.1–17.4, 18 HM Chapter 15.1, 17.5, 17.6MATH CONTENTSTANDARDSCENTRAL TO THISUNIT4.AO.2 Divide to solve word problems involvingmultiplicative comparison.4.AO.3 Solve multistep word problems posed withwhole numbers and having whole-number answer.Represent these problems using equations with aletter standing for the unknown quantity.4.AO.4 Find all factor pairs for a whole number inthe range 1-100.4.NBT.6 Find whole-number quotients andremainders with up to four-digit dividends and onedigitdivisors. Illustrate and explain the calculation.4.MD.2 Solve word problems involving distances,intervals of time, liquid volumes, masses of objects,4.NF.1 Explain why a fraction a/b is equivalent tofraction (axb)/(nxb) by using visual fraction models.4.NF.2 Compare two fractions with differentnumerators and different denominators.4.NF.5 Express a fraction with denominator 10 asan equivalent fraction with denominator 100, anduse this technique to add two fractions withrespective denominators 10 and 100.4.NF.3 Understand a fractional/b with a>1 as asum of fraction 1/b.4.NF.3a Understand addition and subtraction offractions.4.NF.3 Understand a fractional/b with a>1 as asum of fraction 1/b.4.NF.3a Understand addition and subtraction offractions.4.NF.3b Decompose a fraction as a sum offractions with the same denominator in more thanone way.4.NF.3c Add and subtract mixed numbers with likedenominators.4.NF.3d Solve word problems involving additionand subtraction of fractions.4.NF.4 Apply and extend previous understandings9

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