Fractions - Number Line

Videos, examples, and solutions to help Grade 3 students learn how to place any fraction on a number line with endpoints 0 and 1.

Common Core Standards: 3.NF.2a, 3.NF.2b, 3.NF.3c, 3.NF.3d, 3.MD.4

New York State Common Core Math Grade 3, Module 5, Lesson 15
Worksheets for Grade 3

Lesson 15 Application Problem

In baseball, it is about 30 yards from home plate to first base. The batter got tagged out about half way to first base.
About how many yards from home plate was he when he got tagged out?
Draw a number line to show the point where he was when tagged out.
Lesson 15 Concept Development

Problem 1: Locate the point 2 thirds.

Given 2 thirds. How many equal parts in the whole? Three.
How many of those equal parts have been counted? Two.
Count up to 2 thirds by unit fractions. 1 third, 2 thirds.

Draw a 2-part number bond of 1 whole with one part as 2 thirds.
What is the missing part? 1 third.

Draw a number line with end points of 0 and 1, and with 0 thirds and 3 thirds, to match your number bond.

Problem 2: Locate the point 3 fifths.

Given 3 fifths. How many equal parts in the whole? Five.
How many of those equal parts have been counted? Three.
Count up to 3 fifths by unit fractions. 1 fifth, 2 fifths, 3 fifths.

Draw a 2-part number bond of 1 whole with one part as 3 fifths.
What is the missing part? 2 fifths.

Draw a number line with end points of 0 and 1, and with 0 fifths and 5 fifths, to match your number bond.

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Lesson 15 Problem Set

1. Estimate to label the fractions on the number line from 0 to 1. Make a number bond for each one to the right. This time, the fractions are written above the number line.
2. Draw a number line. Use a fraction strip to locate 0 and 1. Fold the strip to make 8 equal parts. Use the strip to measure and label your number line with 8 unit fractions.
   Count up from 0 eighths to 8 eighths on your number line. Touch each number with your finger as you count.
3. For his boat, James stretched out a rope with 5 equally spaced knots as shown.
   a. Starting at the first knot and ending at the last knot, how many equal parts are formed by the 5 knots? Label each unit fraction at the knot.
   b. What fraction of the rope is labeled at the third knot?
   c. What if the rope had 6 equally spaced knots along the same length? What fraction of the rope would be measured by the first 2 knots?

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Lesson 15 Homework

1. Estimate to label the fractions on the number line from 0 to 1. The first one is done for you. Draw a number bond to match.
   c. 2/5
   e. 3/7
2. Henry has 5 dimes. Ben has 9 dimes. Tina has 2 dimes.
   a. Write the value of each person’s money as a fraction of a dollar:
   Henry:
   Ben:
   Tina:
   b. Estimate to place each fraction on the number line.
3. Draw a number line. Use a fraction strip to locate 0 and 1. Fold the strip to make 8 equal parts.
   a. Use the strip to measure and label your number line with 8 unit fractions.
   b. Count up from 0 eighths to 8 eighths on your number line. Touch each number with your finger as you count. Write the number bonds that matches the drawing.

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