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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
  • Find equivalent fractions on two number lines and with a fraction wall
  • Write whole numbers as fractions: 8/4 = 2, 6/6 = 1, 3 = 3/1
  • Compare fractions with the same denominator or the same numerator
  • Compare in stories, and decide if a comparison of two different wholes is fair
  • The last question (closest to 0, 1/2 or 1) is for Virginia
  • Answer keys name the lesson and skill of every question

Skills Covered

  • Equivalent fractions with fraction strips and area models
  • Equivalent fractions on two number lines
  • Missing numerators and denominators, with a fraction wall
  • Whole numbers as fractions
  • Compare fractions with the same denominator
  • Compare fractions with the same numerator
  • Compare fractions in stories: the wholes must be the same size
  • Benchmark fractions: closest to 0, 1/2 or 1

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. Questions 1 to 10 are the Common Core part of the unit; question 11 (benchmark fractions) is for Virginia, which teaches it in 3rd grade. 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 10 cover the Common Core lessons. Question 11, at the bottom of the second page, is the Virginia lesson on benchmark fractions: leave it out if your class does not learn it and score out of 10. Question 10 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. Fold two paper strips the same length, one into fourths and one into eighths, and ask your child to show you that 2/8 is the same as 1/4.

Tips for Success

  • Line up fraction strips at the left edge before comparing them
  • Same denominator: more parts of the same size is more
  • Same numerator: the same number of bigger parts is more, so 2/3 > 2/8
  • Ask "Are the wholes the same size?" before comparing in a story
  • 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.3a Know that two fractions are equal when they cover the same amount of a whole or land at the same spot on a number line.
  • 3.NF.A.3b Find and make simple equal fractions, such as 3/6 = 1/2, and use a picture or model to show why they match.
  • 3.NF.A.3c Show a whole number in fraction form and notice when a fraction names a whole number, such as 2 = 2/1 or 8/4 = 2.
  • 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.2 Compare fractions with different numerators and denominators using common denominators or numerators, or a benchmark like 1/2; record with >, = or < and explain.

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

3rd Grade Equivalent and Comparing Fractions Test

The unit test on equivalent fractions and comparing fractions, in two forms. Students find equal fractions with strips, area models and number lines, write whole numbers as fractions, and compare fractions on their own and in stories.

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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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