Georgia 4.NR.4.1
The Standard
Using concrete materials, drawings, and number lines, demonstrate and explain the relationship between equivalent fractions, including fractions greater than one, and explain the identity property of multiplication as it relates to equivalent fractions. Generate equivalent fractions using these relationships.
Georgia's K-12 Mathematics Standards · Solve real-life problems involving addition, subtraction, equivalence, and comparison of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100 using part-whole strategies and visual models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use fraction strips, drawings, and number lines to show that different fractions can name the same amount. They generate equivalents by multiplying by a fraction equal to one and explain why the value stays unchanged.
What Mastery Looks Like
- Students generate equivalent fractions, including fractions greater than one, by multiplying the numerator and denominator by the same number. They prove the fractions are equal with objects, drawings, or number lines and explain that n/n equals one.
Common Misconceptions
- Students may multiply only the numerator or denominator. They may think a larger denominator makes a larger fraction, or that fractions greater than one cannot have equivalent forms.
How to Assess It
- Give this exit ticket: Complete 3/4 = ?/12 and 5/3 = ?/6. Draw a model for one equation and explain why multiplying by n/n keeps the value unchanged.
Lesson moves
Ways to Teach It
Build 3/4 with fraction strips, cover it with twelfths, and record the equivalent fraction and multiplication used.
Ask students to explain in writing why multiplying 2/3 by 4/4 changes its name but not its value.
Play an equivalent fraction match game using cards with fractions, shaded models, number lines, and multiplication statements.
Use a recipe card to rename 3/4 cup as twelfths, then explain how both measurements represent the same amount.
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Printable 4.NR.4.1 Worksheet
A ready-to-print activity worksheet aligned to 4.NR.4.1, with an answer key for the teacher on its own page. No account needed.
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