Essential Understanding:

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Essential Understanding:

Lesson Math Concept Standard Skills Problems to Pose
Anticipated Errors 1 Part to whole and decomposing fractions Benchmark fractions 5.NF.A2 Represent a fraction Decompose a fraction, add/subtract with like denominators, use benchmark fractions Closer to 0, ½, or whole Break down 4/6 into sixths 1/3+2/3=? 4 2/3- 3/3 Vocabulary difficulties Benchmark fractions used incorrectly Numerator vs. denominator roles 2 Equivalent fractions 5.NF.A1 Identify and create equivalent fractions Use several strategies and justify answers ½ is equivalent to ? Show why 2/3 is equivalent to ? Using a model Not multiplying the numerator and denominator by the same amount Calculation errors 3 Comparing fractions with like and unlike denominators Use benchmark fractions correctly Find common multiples and create equivalent fractions Greater than less than with fractions, sequenced from like to unlike denominators Order fractions Incorrect multiples, not ordering correctly because of trouble finding common denominators 4 Adding fractions with unlike denominators 5.NF.A.1 Finding common denominators Adding fractions 2/3+1/2 with numbers getting more difficult Adding the denominator Incorrect common denominators 5 Subtracting fractions with unlike denominators Subtracting fractions 2/3-1/2 with numbers getting more difficult Subtracting the denominator 6 Add/subtract fractions with mixed numbers and whole numbers Converting mixed numbers and adding and subtracting fractions 6-2/3 3 ½ +3/4 Converting mixed numbers improperly Forgetting the whole numbers 7 Solve word problems add/subtract fractions with unlike denominators 5.NF.A.2 Interpret problem, find correct number sentence, justify reasonableness of answer Incorrect equations to be fixed Word problems Not understanding what the fractions refer to, incorrect number sentences

Lesson Math Concept Standard Skills Problems to Pose
Anticipated Errors 8 Multiplying fractions 5.NF.B.4 5.NF.B.5 Multiplying fractions including whole numbers and mixed numbers Using area arrays and models Scaling to check reasonableness 6 x ¾ 61/2 x ¾ 2 ½ x 3 1/4 Converting mixed numbers May try to use common denominators Representations 9 Word problems requiring multiplication of fractions and mixed numbers 5.NF.B.6 5.NF.5 Interpret the problem to determine the correct number sentence Using models to justify reasonableness of answer Real world problems Interpreting the problem correctly Calculation errors 10 Interpret a fraction as division 5.NF.B.3 a/b=a divided by b Interpreting this relationship correctly using story problems See NCSS standards Interpreting the relationship between terms correctly. What happens with remainders? 11 Dividing fractions 5.NF.B.7-7A-7B Relationship between multiplication and division, dividing fractions Creating models 6 divided by ½ Or ½ divided by 6 Mixing up divisors and dividends Incorrect models Not understanding relationship 12 Word problems with division of fractions 5.NF.B.7C Interpreting the relationship between terms, justifying reasonableness of answers using models Story problems Interpreting the terms correctly (do not divide up the cats)