Maryland Math 3.NOS.F.13.b
The Standard
- 3.NOS.F.13
- Explain equivalence of fractions and compare fractions by reasoning about their size, recognizing that comparisons are valid only when the two fractions refer to the same whole.
Identify and generate equivalent fractions, (e.g., 1/2 = 2/4, 4/6 = 2/3.) and explain why the fractions are equivalent using concrete materials, drawings, number lines, or equations.
Maryland College and Career Ready Standards for Mathematics (2025) · DEVELOP UNDERSTANDING OF FRACTIONS AS NUMBERS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find fractions that name the same amount, such as 1/2 and 2/4. They make equivalent fractions and show why they match using strips, drawings, number lines, or equations.
What Mastery Looks Like
- Given 2/3, a student can split each third in half to make 4/6. They can show that both fractions cover the same amount of an equal-sized whole or land at the same point on a number line.
Common Misconceptions
- Students may count shaded pieces without checking how many equal parts make the whole. They may think 2/3 and 4/6 differ because the numbers differ, or compare pieces from different-sized wholes.
How to Assess It
- Exit ticket: Draw equal-sized bars for 2/3 and 4/6, shade both, then write another fraction equal to 2/3. Explain how your drawing shows the fractions are equal.
Lesson moves
Ways to Teach It
Give pairs two equal paper strips; fold one into thirds and the other into sixths, then shade 2/3 and 4/6.
Mark 2/3 and 4/6 on a number line, then ask, "Why do both marks land in the same place?"
Play a matching game with fraction cards for 1/2, 2/4, 3/6, 2/3, and 4/6; partners draw bars to defend each match.
For a recipe needing 1/2 cup of rice, fill a 1/2-cup measure using two 1/4-cup scoops.
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Related Standards
- 4.NOS.D.9.a
Identify and generate equivalent fractions using representations and the Identity Property of Multiplication.
- 3.NOS.F.13.d
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Record the results of comparisons with the symbols >, =, or...
- 4.NOS.D.9
Understand and generate equivalent fractions.
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