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# Teaching 4.NF.A.2 – Compare Two Fractions with Different Numerators and Different Denominators

## Number & Operations – Fractions – 4th Grade

#### Extend understanding of fraction equivalence and ordering.

CCSS.Math.Content.4.NF.A.2
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Teacher Notes

I know how to use fraction models to show equivalent fractions.
I know how to create equivalent fractions.
I know the larger the denominator, the smaller the partitions of the whole.
I know comparisons of fractions are only valid if the whole is the same size.
I can use a variety of strategies to compare fractions.
I can record the result of the comparison using symbols >, =, or <, and justify my conclusions.

Student Knowledge Goals

I know how to use fraction models to show equivalent fractions.
I know how to create equivalent fractions.
I know the larger the denominator, the smaller the partitions of the whole.
I know comparisons of fractions are only valid if the whole is the same size.
I can use a variety of strategies to compare fractions.
I can record the result of the comparison using symbols >, =, or <, and justify my conclusions.

Vocabulary

compare
denominator
equivalent
factors
fraction
numerator

Lessons
Fraction Bars – Equivalent fractions for Smart Board Viewing to Compare
Comparing & Ordering Fractions
Engage NY Module 5 C-12 - Reason using benchmarks to compare two fractions on the number line.
Engage NY Module 5 C-13 – Reason using benchmarks to compare two fractions on the number line.
Engage NY Module 5 C-14 - Find common units or number of units to compare two fractions.
Engage NY Module 5 C-15 - Find common units or number of units to compare two fractions.

Student Video Lessons
Learn Zillion - Compare fractions by creating common denominators or numerators
Study Jams – Comparing fractions and mixed numbers
Study Jams – Ordering fractions and decimals
Virtual Nerd – 4.NF.A.2

Online Problems, Games, and Assessments
Khan Academy – Questions and Video Lessons
Benchmark fractions
Compare fractions using benchmarks
Compare fractions
Order fractions
Compare sums and differences of fractions