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Skills Covered

Count the parts in a model of a fraction greater than 1
Write it as an improper fraction
Write it as a mixed number

Shade a model to show a mixed number or improper fraction
Join unit fractions to build a fraction greater than 1
Find fractions greater than 1 on a number line

How to Use This Pack

Five pages on fractions greater than 1, with halves, thirds, fourths, sixths and eighths. Page 1 shows bars and circles with more than one whole shaded, such as 2 bars cut in fourths with 7 parts shaded: students write 7/4 and 1 3/4, with a worked example first. Page 2 turns it around: shade the bars or circles to show a number like 7/3 or 1 5/6, then write it the other way. Some models have a whole left over, so students have to stop at the right part. Page 3 lines up unit fraction pieces, such as five pieces of 1/2, and students write the sum as an improper fraction and as a mixed number. Page 4 has four number lines from 0 to 3 or 4, cut into halves, thirds, fourths and sixths, with three points on each to name both ways. Page 5 matches five improper fractions to their mixed numbers, then has three short stories about half sandwiches, pizza slices and laps of a track.

In the Classroom

Start with fraction strips or paper plates cut into fourths. Hand a group 7 fourths and ask how many whole plates they can build and what is left. Write 7/4 and 1 3/4 side by side and talk about why both name the same amount. Page 3 works well with real fraction tiles: students lay out the pieces, then group them into wholes. For page 4, count the parts out loud along the first number line before students name the points.

At Home

Cut sandwiches, tortillas or paper strips into halves or fourths and count the pieces together: "We have 5 halves. How many whole sandwiches is that?" Measuring cups work too: three 1/2 cups of flour is 3/2 cups, or 1 1/2 cups.

Tips for Success

The bottom number says how many parts make 1 whole; the top number counts the parts
When the top number is bigger than the bottom number, the fraction is more than 1
To write a mixed number, make as many wholes as you can, then write the parts left over
To go back, count the parts in the wholes and add the parts left over: 1 3/4 is 4 fourths and 3 more, or 7/4
On a number line, count the parts from 0 to the point

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.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.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.

Mixed Numbers and Improper Fractions

3rd Grade

A 5-page fractions greater than 1 pack for 3rd grade. Count the shaded parts of bars and circles and write the amount as an improper fraction and as a mixed number, like 7/4 = 1 3/4, shade a model to show a number and write it the other way, join unit fraction pieces such as 1/3 + 1/3 + 1/3 + 1/3, name points on number lines from 0 to 4 both ways, match improper fractions to mixed numbers and solve three short stories. 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)
Name the shaded amount both ways, with a worked example, and shade a model to show a number
Join unit fraction pieces, and name points on number lines as fractions and mixed numbers
Match improper fractions to mixed numbers, and three short stories

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