# Equivalent Fractions (Grade 3)

Videos, solutions, and lessons to help Grade 3 students learn to explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

A. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

B. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.

C. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

D. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Common Core: 3.NF.3

### Suggested Learning Targets

• I can use models to show and explain equivalent fractions.
• I can locate equivalent fractions on a number line.
• I can use models to show and explain whole numbers as fractions.
• I can locate whole numbers as fractions on a number line.
• I can use models to compare two fractions and record the comparison using <, >, or =.
• I can explain how the size of equal parts can be used to compare two fractions with the same numerator, and explain how the number of equal parts can be used to compare two fractions with the same denominator.

Related Topics:
More Lessons for Grade 3

Common Core for Grade 3

### A. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

3 NF 3 a Lesson 1
In this lesson, you will learn how to use models to show and explain equivalent fractions.
3 NF 3 a Lesson 2
In this lesson, you will learn how to locate equivalent fractions on a number line.

Recognize and generate simple equivalent fractions.
In this lesson you will learn to identify equivalent fractions by using a number line.

### B. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.

Recognize and generate simple equivalent fractions--Lesson 1 (Common Core Standard 3.NF.3b)
In this lesson you will learn to create equivalent fractions by building with pattern block shapes.

Recognize and generate simple equivalent fractions--Lesson 2
In this lesson you will learn to find equivalent fractions by using circle models.
Recognize and generate simple equivalent fractions--Lesson 3
In this lesson you will learn that fractional pieces that are different shapes can be equivalent by using models.

Recognize and generate simple equivalent fractions--Lesson 4
In this lesson you will learn to find equivalent fractions by creating and using fraction strips.

### C. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram

3 NF 3 c Lesson 1
In this lesson, you will learn how to use models to show an explain whole numbers as fractions.

Whole numbers as fractions.

### D. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

3 NF 3 d Lesson 1
In this lesson, you will learn how to compare fractions with the same denominator.

3 NF 3 d Lesson 2
In this lesson, you will learn how to compare fractions with the same numerator.
3 NF 3 d Lesson 3
In this lesson, you will learn how to compare fractions close to the whole.

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