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Features

  • Every lesson of the unit, in the order of the test
  • Find the GCF and simplify three fractions, rename a pair and order three fractions
  • Add on strips, write sums greater than 1 as mixed numbers, and subtract showing the renamed fractions
  • Add mixed numbers and subtract them, from a whole number too
  • Circle the best estimate, and solve a "how much longer" story and a two-step story
  • One question on prime numbers and a factor tree, for the states that teach them in 5th grade
  • Answer keys name the lesson and skill of every question

Skills Covered

  • Simplest form with the greatest common factor
  • Renaming and comparing with the least common denominator
  • Adding fractions with unlike denominators
  • Subtracting fractions with unlike denominators
  • Adding mixed numbers
  • Subtracting mixed numbers, trading 1 whole
  • Estimating with 0, one half and 1
  • Story problems in one and two steps
  • Prime numbers and factor trees (some states)

How to Use This Pack

Two pages that go over the whole unit on adding and subtracting fractions with unlike denominators, to do together the day before the test. Its 12 questions take the lessons in the test's order, with other numbers and some other kinds of question: three fractions to simplify, each with its GCF, a pair to rename and three fractions to order, sums greater than 1 written as mixed numbers, a subtraction that shows the renamed fractions, the best estimate to circle, a "how much longer" story and a story that adds then subtracts. The last question (prime numbers and a factor tree) is for the states that teach it in 5th grade. There is no Score line: it is practice, not a grade. The pre-check and the unit test are packs of their own.

In the Classroom

Do the review together the day before the test. Work a question, then let students try the next one on their own, and stop on any that trip up more than a few. In question 2 the least common denominator of fifths and sixths is 30, the two denominators multiplied. In question 3, one half puts 5/12 first; 3/5 and 5/6 need a common denominator, 30. Question 8 subtracts a mixed number from a whole number: a good one to talk through, trading 1 whole for twelfths. The keys name each question's lesson, so a question the class misses points to the lesson to go back to.

At Home

Use the review as practice before a test at school. Ask your child to explain why 1/4 + 7/8 is more than 1 before adding.

Tips for Success

  • Find the least common denominator before renaming
  • Rename both fractions, then add or subtract the numerators
  • Add or subtract mixed numbers whole numbers and parts apart
  • Round each fraction to 0, one half or 1 to check an answer
  • Go back to the lesson the key names for a question the class misses

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.OA.B.4 For numbers 1 to 100, list factor pairs, spot multiples of one-digit numbers, and sort numbers into prime and composite.
  • 4.NF.A.2 Compare fractions with different numerators and denominators using common denominators or numerators, or a benchmark like 1/2; record with >, = or < and explain.
  • 5.NF.A.1 Add and subtract fractions and mixed numbers with unlike denominators by rewriting them as equivalent fractions with a common denominator.
  • 5.NF.A.2 Solve story problems that add or subtract fractions of one whole, unlike denominators included, and check that answers make sense with benchmark fractions and estimating.
  • 5.NF.B.5b Explain why multiplying by a fraction above 1 makes a number bigger and below 1 makes it smaller; see equivalent fractions as multiplying by 1.
  • 5.MD.B.2 Make a line plot of measurements in halves, quarters and eighths, and solve problems from it with fraction operations, like sharing a total equally.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

5th Grade Adding and Subtracting Fractions Unit Review

5th Grade

A review of the unit on adding and subtracting fractions with unlike denominators, to go over together the day before the test. Students simplify, rename and order fractions, add and subtract fractions and mixed numbers, estimate and solve story problems.

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What’s Included

  • A two-page review of every lesson in the unit (12 questions)
  • Answer keys that name each question's lesson and skill (4 pages in all)
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