Extend understanding of fraction equivalence and ordering. 4.NF.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 ½. 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.

Compare 7 10 6 10 Use a number line or area model to justify your answer. Common denominator- 3rd grade problem: 7/10>6/10

Compare 2 5 2 3 Use a number line or area model to justify your answer. Common numerator – 3rd grade problem: 2/5 < 2/3

Compare 5 8 7 12 Use a number line or area model to justify your answer. Consider a benchmark fraction like ½. 5/8> 7/12

Provide all the numbers that make the inequality true 1 6 < ? 4 1/6 < ¼, 2/4, ¾, 4/4 1 2

Provide all the numbers that make the inequality true ? 8 > 37 100

Compare Ask students to write an inequality that represents the comparison. Have several students explain how they reasoned through comparing the two fractions.