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Skills Covered

  • Tell whether a fraction is closest to 0, 1/2 or 1
  • Mark and read fractions on a number line from 0 to 1
  • Use half of the denominator to compare with 1/2
  • Compare a fraction with 0, 1/2 or 1 using <, > and =
  • Use benchmarks to think about amounts in real life
  • Sort fractions with and without models

How to Use This Pack

Five pages on comparing fractions with the benchmarks 0, 1/2 and 1. Page 1 has ten shaded bars and circles, each with its fraction: students circle whether each shaded amount is closest to 0, 1/2 or 1, with a worked example first. Page 2 has number lines from 0 to 1: students mark four fractions with a dot and write the fraction at three dots, then circle the closest benchmark on each line. Page 3 finds half of the denominator to decide whether a fraction is more or less than 1/2, then sorts ten fractions with small bar models into two boxes. Page 4 has fourteen comparisons like 3/8 and 1/2 or 5/5 and 1 to finish with <, > or =. Page 5 looks at real things (a glass 7/8 full, a pizza with 1/8 left, a turtle 5/10 of the way along a path and a battery 2/5 charged), then sorts nine fractions into close to 0, close to 1/2 and close to 1.

In the Classroom

Before page 1, draw a long number line from 0 to 1 on the board and mark 1/2. Hold up fraction strips or paper circles and ask the class to point to the benchmark each one is closest to. On page 3, ask students to say the rule out loud: if the numerator is less than half of the denominator, the fraction is less than 1/2. Page 5 makes a good talk: what else in the room is about empty, about half or almost full?

At Home

Look for fractions in everyday things: a glass of juice, a pizza after dinner, a phone battery, a walk to the park. Ask your child whether each one is closer to empty, half or full, and how they know. Cut a sandwich or a tortilla into equal parts, eat some, and decide whether what is left is closest to 0, 1/2 or 1.

Tips for Success

  • A fraction close to 0 has a numerator much smaller than the denominator
  • A fraction close to 1 has a numerator almost as big as the denominator
  • To compare with 1/2, find half of the denominator: 4 is half of 8, so 4/8 is 1/2
  • When the numerator and denominator are the same, the fraction is equal to 1
  • On a number line, count the steps from the fraction to 0, to 1/2 and to 1

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.

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

Benchmark Fractions

3rd Grade

A 5-page benchmark fractions pack for 3rd grade. Decide whether a shaded bar or circle is closest to 0, 1/2 or 1, mark and read fractions on number lines from 0 to 1, and find half of the denominator to tell whether a fraction is more or less than 1/2. Compare fractions with 0, 1/2 and 1 using <, > and =, then think about a glass 7/8 full, a pizza with 1/8 left and a path 5/10 walked, and sort fractions into close to 0, close to 1/2 and close to 1. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Shaded bars and circles, and number lines from 0 to 1 to mark and read
  • More or less than 1/2 with half of the denominator, and a sorting page with bar models
  • Compare with <, > and =, real-life amounts, and a three-column sort
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