CCSS.Math.Content.4.NF.A.2
The standard
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.
Common Core State Standards for Mathematics · Number and Operations—Fractions
What this standard means
Students need to compare two fractions, even when both the tops and bottoms are different. They should use common denominators, common numerators, or benchmarks like 1/2. They also need to know that the whole must be the same size before a comparison makes sense.
Mastery looks like choosing a useful strategy, writing >, <, or = correctly, and explaining the comparison with a model or clear reasoning. Students often get stuck thinking a larger denominator means a larger fraction, or comparing pieces from different-sized wholes without noticing the problem.
Ways to teach it
- Give pairs fraction strips and have them compare cards like 3/4 and 5/8, then record the symbol and a sketch.
- Ask students to write which is larger, 4/10 or 3/5, and explain using 1/2 as a benchmark.
- Show 5 fraction comparisons on the board and have students hold up >, <, or = cards with one reason.
- Compare slices from two different pizzas drawn in different sizes, then discuss why the whole must match before comparing.
Plan a lesson for CCSS.Math.Content.4.NF.A.2
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