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Features

  • Every lesson of the unit, in the order of the test
  • Unit fractions divided by whole numbers, and whole numbers divided by unit fractions
  • Check a division by multiplying, and find a missing number
  • Two division stories, each with an equation and an answer
  • The last four questions (a fraction divided by a fraction, fractions as decimals, one number line, percents) are for the states that teach them in 5th grade
  • Answer keys name the lesson and skill of every question

Skills Covered

  • A unit fraction divided by a whole number
  • A whole number divided by a unit fraction
  • Checking a division by multiplying
  • Division stories
  • A fraction divided by a fraction
  • Fractions as decimals and back
  • Fractions and decimals on one number line
  • Percents as parts of 100

How to Use This Pack

Two pages that go over the whole unit on dividing with unit fractions and on fractions, decimals and percents, to do together the day before the test. Its 12 questions take the lessons in the test's order, with other numbers: its check divides a whole number by a unit fraction, where the test divides a unit fraction by a whole number. 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. Questions 9 to 12 are the state lessons (a fraction divided by a fraction, fractions as decimals, one number line, percents): leave them out if your class does not learn them. 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 1/2 ÷ 7 is smaller than 1/2, and 4 ÷ 1/4 is bigger than 4.

Tips for Success

  • Ask "how many of these fit in that?" before dividing by a unit fraction
  • A unit fraction shared by a whole number gets smaller
  • Check every quotient by multiplying it by the divisor
  • Read decimals aloud as fractions before writing them
  • 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.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.
  • 4.NF.C.5 Rewrite tenths as hundredths, such as 7/10 = 70/100, to add a fraction in tenths to one in hundredths.
  • 4.NF.C.6 Write fractions with denominators 10 or 100 as decimals, such as 45/100 = 0.45, and find decimals like these on a number line.
  • 5.NBT.A.3b Compare two decimals to the thousandths by the value of the digits in each place, and record the result with >, = or <.
  • 5.NF.B.7a Divide a unit fraction by a whole number, such as (1/2) ÷ 3 = 1/6, using models and stories, and check by multiplying.
  • 5.NF.B.7b Find how many unit fractions fit in a whole number, such as 3 ÷ (1/4) = 12, using models and stories, and check by multiplying.
  • 5.NF.B.7c Solve real-life problems that divide unit fractions by whole numbers or whole numbers by unit fractions, like how many 1/4-cup scoops fill 3 cups.

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

5th Grade Dividing Fractions Unit Review

5th Grade

A review of the unit on dividing with unit fractions, and on fractions, decimals and percents, to go over together the day before the test. Students divide on area models and number lines, check by multiplying, solve division stories, divide fractions and write fractions as decimals and percents.

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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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