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Equivalent Fractions - Number Line


Videos to help Grade 3 students learn how to recognize and show that equivalent fractions refer to the same point on the number line.

Common Core Standards: 3.NF.3a, 3.NF.3b, 3.NF.3c

Related Topics:
Lesson Plans and Worksheets for Grade 3

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Common Core For Grade 3

New York State Common Core Math Module 5, Grade 3, Lesson 21

Application Problem

Dorothea is training to run a 2 mile race. She marks off her starting point and the finish line. So that she can track her progress, she places a mark at 1 mile. She then places a mark halfway between her starting position and 1 mile, and another halfway between 1 mile and the finish line.

Draw a number line to show what unit fraction she makes as she marks the points on her run.

How far has she run when she gets to the third marker?

Concept Development

Fold your first fraction strip into halves.
Label each part with a unit fraction. Then use a crayon to shade in 1 half.
Glue your fraction strip at the top of a new page in your math journal.

Fold another fraction strip to make copies of fourths. Label each part with a unit fraction. Then glue your fraction strip directly below the first one in your math journal. Make sure that the ends are lined up.

Now shade the number of fourths that are equivalent to the shaded half.
How many units did you shade? 2

Repeat with a fraction strip folded into eighths.

Lesson 21 Homework

1. Use the unit fractions on the right to count up on the number line. Label the missing fractions.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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