Wyoming Math 4.NF.2a

Math4th GradeNumber and Operations - Fractions

The Standard

Compare two fractions with different numerators and different denominators 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.

2023 Wyoming Mathematics Content and Performance Standards · Extend understanding of fraction equivalence and ordering (limited to denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100).

Teacher's field guide

What This Standard Means

What Students Need to Do: Students compare fractions with different numerators and denominators. They make matching denominators or numerators, or use 1/2 as a reference. They check that both fractions describe the same-size whole.
What Mastery Looks Like: Given 2/3 and 3/4, a student rewrites them as 8/12 and 9/12, then correctly writes 2/3 < 3/4. They can explain why pieces from different-size pizzas do not give a fair comparison.
Common Misconceptions: Some students pick 3/5 over 2/3 because 5 is greater than 3. Others pick 3/8 over 2/5 because 3 is greater than 2. Students may also compare shaded parts of unequal-size rectangles without noticing that the wholes differ.
How to Assess It: Give students two equal-length strips labeled 2/3 and 3/4. Ask: Which fraction is greater? Show your comparison with a drawing or matching denominators.

Lesson moves

Ways to Teach It

Fold two equal-length paper strips into thirds and fourths, shade 2/3 and 3/4, then compare the shaded lengths.
Ask students to write why 2/5 is less than 3/4 using 1/2 as a reference.
Give pairs cards showing 3/8 versus 2/5 and 3/5 versus 2/3; partners compare each pair and check each other's reasoning.
Mark 2/3 of one 12-inch sandwich roll and 3/4 of another equal-size roll; students decide which serving is longer.

Free download