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Skills Covered

  • Compare two unit fractions with models of the same whole
  • Use >, < and = to compare unit fractions
  • Explain why more parts means smaller parts
  • Order three unit fractions
  • Compare unit fractions in words
  • Solve stories that compare parts of the same whole

How to Use This Pack

Five pages that compare unit fractions, one part of a whole, with denominators 2, 3, 4, 6 and 8. On page 1 students shade one part of two strips of the same length and circle the greater fraction. Page 2 shows one slice of two same-size circles: write >, < or = between the fractions. Page 3 has a fraction wall to read, then twelve comparisons without pictures. Page 4 orders three unit fractions from least to greatest, compares them in words (one third is greater than one sixth) and asks whether Max is right that 1/8 is greater than 1/4 because 8 is greater than 4. Page 5 has story problems about pizzas, pies, ribbons and fences of the same size, and one about a big and a small pizza that shows why the wholes must match.

In the Classroom

Give each pair of students two paper strips of the same length. Fold one into halves and the other into fourths, then lay one part of each side by side: the half is longer. Do it again with fourths and eighths, and ask what happens to the parts as the number of parts grows. Then cut a half from a small paper circle and a fourth from a big one to show why the wholes must be the same size.

At Home

Cut two same-size pieces of toast or two strips of paper. Cut one into 2 equal parts and the other into 4. Ask your child which one part is bigger and why, then try 3 parts and 6 parts.

Tips for Success

  • A unit fraction is one part of a whole, like 1/4
  • The more equal parts a whole has, the smaller each part is
  • 1/2 is greater than 1/4 because halves are bigger parts than fourths
  • Only compare parts of wholes that are the same size
  • Use > for greater than, < for less than and = for equal to

Common Core Standards Alignment

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

  • 3.NF.A.1 Know 1/b is one of b equal parts of a whole, and a/b is a of those parts (denominators 2, 3, 4, 6 and 8).
  • 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.
  • 3.G.A.2 Divide shapes into parts of equal area and describe each part with a unit fraction, such as 1/6 of the shape.

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

Comparing Unit Fractions

2nd Grade

A 5-page 2nd grade pack on comparing unit fractions: halves, thirds, fourths, sixths and eighths. Shade one part of two strips the same length and circle the greater fraction, compare slices of same-size circles with >, < and =, read a fraction wall to compare without pictures, put three unit fractions in order and compare them in words, then solve pizza, pie and ribbon stories, including one that shows why the wholes must be the same size. 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)
  • Strips and circles to shade and compare
  • A fraction wall, >, < and =, and ordering three fractions
  • Comparing in words, and fraction stories
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