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Features

  • Forms A and B ask the same questions with different fractions
  • Shade a strip to show the same amount, and write two fractions for an area model
  • Multiply or divide the numerator and denominator by the same number
  • Find equal fractions on two number lines that go past 1
  • Compare with a common denominator, a common numerator, one half or 1
  • Order fractions and mixed numbers, and decide if a comparison of two different wholes is fair
  • Answer keys name the lesson and skill of every question

Skills Covered

  • Equivalent fractions with fraction strips and area models
  • Multiply the numerator and denominator by the same number
  • Equivalent fractions on number lines past 1
  • Divide to find an equal fraction
  • Compare with a common denominator
  • Compare with a common numerator
  • Compare with the benchmarks one half and 1
  • Order fractions and mixed numbers; the wholes must be the same size

How to Use This Pack

The unit test on equivalent and comparing fractions. Pages 1 and 2 are Form A. Pages 3 and 4 are Form B: the same questions in the same order with different fractions, for a retake, a make-up or a second seating. Each form has 11 questions, one point each, and a Score line on its first page. The fractions use the 4th grade denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. The pre-check and the unit review are packs of their own.

In the Classroom

Give Form A the day after the unit review. Questions 1 to 5 are about making equal fractions: with strips and an area model, by multiplying, on two number lines and by dividing. Questions 6 to 11 compare and order. Question 11 shows two pans of different sizes: the right answer is No, because fractions can only be compared when the wholes are the same size. The answer keys name each question's skill, so a missed question points to the lesson to reteach.

At Home

Use Form B as a check after the unit. Ask your child to show you why 3/4 = 9/12 by cutting each fourth of a paper strip into 3 equal parts.

Tips for Success

  • Multiply or divide the numerator and denominator by the same number, never just one of them
  • To compare, rename one or both fractions to the same denominator, or to the same numerator
  • Check each fraction against one half first: often that settles it
  • Compare mixed numbers by their whole numbers first
  • Use Form B as a retake after reteaching what was missed

Common Core Standards Alignment

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

  • 3.NF.A.2a Mark 1/b on a number line by splitting the space from 0 to 1 into b equal parts; the first part ends at 1/b.
  • 3.NF.A.2b Place a/b on a number line by counting a jumps of size 1/b from 0; where the jumps end is a/b.
  • 3.NF.A.3d Compare fractions of the same whole that have equal numerators or equal denominators, thinking about part size; record with >, = or < and explain.
  • 4.NF.A.1 Explain with fraction models why multiplying a fraction's numerator and denominator by the same number gives an equal fraction; use this to find equivalent fractions.
  • 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.B.3c Add and subtract mixed numbers with the same denominator, for example by changing them to fractions or by using properties of operations.
  • 4.NF.C.5 Rewrite tenths as hundredths, such as 7/10 = 70/100, to add a fraction in tenths to one in hundredths.

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

4th Grade Equivalent and Comparing Fractions Test

The unit test on equivalent fractions and comparing fractions, in two forms. Students make equal fractions with models, by multiplying and by dividing, then compare and order fractions and mixed numbers with common denominators, common numerators and benchmarks.

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What’s Included

  • The unit test in two forms, A and B (11 questions each)
  • Answer keys that name each question's lesson and skill (8 pages in all)
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