Loading preview...

Features

  • Circle equal or not equal for circles, rectangles, squares and a hexagon, then write the unit fraction for one part
  • Write the shaded fraction, its numerator and denominator, and its name in words, like three fourths
  • Shade fractions given in numbers and in words, and cut shapes into equal parts before shading
  • Count squares to find equal parts that are different shapes, and name each part as a fraction of the whole
  • Write fractions of a set of counters, animals and fruit
  • Solve sharing stories about brownies, a pizza and crackers
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Tell equal parts from parts that are not equal
  • Name one of b equal parts as the unit fraction 1/b
  • Write a fraction a/b and name its numerator and denominator
  • Read and write fractions in words
  • See that equal parts of a whole have the same area, even when they are different shapes
  • Find a fraction of a set and a fair share

How to Use This Pack

Five pages on fractions with denominators 2, 3, 4, 6 and 8, each with a worked example. On page 1 students circle equal or not equal for six cut shapes, then count the equal parts of six more and write the unit fraction for one part, like 1/6. Page 2 has six shaded shapes: students write the fraction, its numerator and its denominator, and its name in words, then write three fractions given in words as numbers. On page 3 students shade nine fractions, some written in numbers and some in words, then draw the cuts on a rectangle, a circle and a square before shading. Page 4 puts shapes on a grid: students count the squares in each part and cross out the shapes whose parts are not equal, then name one part of shapes whose equal parts are not all the same shape. Page 5 finds fractions of sets of counters, animals and fruit, and ends with three sharing stories.

In the Classroom

Fold paper strips into halves, fourths and eighths, and others into thirds and sixths, and write the fraction on each part. Before page 2, write 3/4 on the board and ask what the 4 tells (how many equal parts make the whole) and what the 3 tells (how many parts we are counting). For page 4, give each pair grid paper: cut a 4 by 4 square into four parts with 4 squares each, as many different ways as they can, and hold them up side by side.

At Home

Cut a sandwich, a tortilla or a sheet of paper into equal parts and name each part together. Make a set out of things at home, like 3 spoons and 5 forks, and ask what fraction of the set are spoons. Share a snack equally and ask what fraction of it each person gets.

Tips for Success

  • The denominator (the bottom number) tells how many equal parts make the whole
  • The numerator (the top number) tells how many of those parts we are counting
  • Parts must be equal before we can name them with a fraction
  • Equal parts have the same area, even when they are different shapes
  • In a set, the denominator is how many things are in the whole set

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.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.

Understanding Fractions

3rd Grade

Fractions as equal parts of a whole, a set or a fair share, with halves, thirds, fourths, sixths and eighths. Students tell equal parts from parts that are not equal, write and shade fractions with their numerators, denominators and names, compare parts by area and solve sharing stories.

Download PDF
Pin
Want to customize? Open in our worksheet maker →

What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Equal or not equal parts, and unit fractions
  • Numerators, denominators and fractions in words, and shading fractions
  • Equal areas on a grid, fractions of a set and sharing stories
Can’t find what you need?

Tell us what to make next, or build your own with a worksheet maker.

Suggest a worksheet

Free to print and share

This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.