Mississippi Math 4.NF.1

Math4th GradeNumber and Operations—Fractions3 (NF) Extend Understanding of Fraction Equivalence and Ordering

The Standard

Recognizing that the value of “n” cannot be 0, explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

2025 Mississippi College- and Career-Readiness Standards for Mathematics · Use Place Value Understanding and Properties of Operations to Perform Multi-Digit Arithmetic

Teacher's field guide

What This Standard Means

What Students Need to Do: Students split the parts of a fraction model into equal smaller pieces. They explain why the number of shaded pieces changes but the shaded amount stays the same. They use the same nonzero multiplier on the numerator and denominator to name the new fraction.
What Mastery Looks Like: A student can draw equal bars to show that 2/3 and 4/6 cover the same amount. They can generate 6/8 from 3/4 and explain that each fourth was split into two eighths.
Common Misconceptions: Students may multiply only the numerator or think that more shaded pieces means a larger fraction. Some try multiplying both numbers by zero, which produces 0/0, not an equivalent fraction.
How to Assess It: Ask students to draw bars showing that 3/5 equals 6/10. Have them label the parts and write one sentence explaining what changed and what stayed the same.

Lesson moves

Ways to Teach It

Give students paper strips to fold into thirds, then sixths, and shade 2/3 and 4/6 to compare the shaded lengths.
Show bars for 3/4 and 6/8, then ask, “Why are there more shaded pieces but the same shaded length?”
Give pairs cards labeled 2/3, 4/6, 3/5, and 6/10 to match, then have them check each pair with a drawing.
Have students measure 1/2 cup of water, then fill the same cup with two 1/4-cup scoops and sketch both amounts.

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