Math · Grade 4

Fractions: Same Amount, Different Names

What fractions mean, how one amount can have many fraction names, and how to compare fractions with different denominators. Uses fraction bars, worked examples and short practice with feedback.

About 35 minutes
3 lessons
For Grade 4 learners (about ages 9–10)
Reviewed by a ChallengeMinds administrator

You'll be able to

Explain what the numerator and denominator of a fraction tell you, using a fraction bar.
Make an equivalent fraction by multiplying the numerator and denominator by the same number, and explain why the amount stays the same.
Compare two fractions with different denominators by finding a common denominator or comparing with 1/2, and record the result with >, = or <.

Course outline

Chapter 1: What fractions mean
Equal parts, numerators and denominators.
1. Parts of a whole10 min
Chapter 2: Equivalent fractions
Different names for the same amount, and comparing fractions.
1. Same amount, different names12 min
2. Comparing fractions13 min

About this course

Version 1, published October 10, 2026. Written by: AI-assisted draft (Claude) for ChallengeMinds, awaiting educator review.

Common Core State Standards for Mathematics: Grade 4, Number and Operations: Fractions (4.NF.A.1, 4.NF.A.2); Grade 3 (3.NF.A.1), National Governors Association Center for Best Practices and Council of Chief State School Officers. Standards used as alignment references only; no standards text copied. Lesson text is original ChallengeMinds content.

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Fractions: Same Amount, Different Names

You'll be able to

Course outline

Chapter 1: What fractions mean

Chapter 2: Equivalent fractions

About this course

Fractions: Same Amount, Different Names

You'll be able to

Course outline

Chapter 1: What fractions mean

Chapter 2: Equivalent fractions

About this course