Georgia 4.NR.4.5
The Standard
Represent a fraction as a sum of fractions with the same denominator in more than one way, recording with an equation.
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 break one fraction into two or more fractions that share its denominator. They show several valid decompositions with equations and visual models.
What Mastery Looks Like
- A student can write 5/8 as 1/8 + 4/8 and as 2/8 + 3/8. Their model matches each equation, and the numerators combine to make the original numerator.
Common Misconceptions
- Students may add or change denominators, write parts whose numerators do not total the original numerator, or use pieces from different-sized wholes. Some think every decomposition must use only unit fractions.
How to Assess It
- Give an exit ticket: Show two ways to break apart 7/10 using equations. Shade a fraction bar to match one equation.
Lesson moves
Ways to Teach It
Give pairs fraction strips for 6/8, then have them build and record three different decompositions using eighths.
Post the prompt: How many ways can 5/6 be split into two fractions with denominator 6? Students write equations and explain the pattern.
Play Decomposition Match: students match fraction cards, equation cards, and shaded-model cards, then justify each completed set.
Cut a paper pizza into eight equal slices and show two different equations for combining eaten portions into 6/8.
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Printable 4.NR.4.5 Worksheet
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Related Standards
- 3.NR.4.3
Represent fractions, including fractions greater than one, in multiple ways.
- 4.NR.4.4
Represent whole numbers and fractions as the sum of unit fractions.
- 3.NR.4
Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models.
- 4.NR.5.1
Demonstrate and explain the concept of equivalent fractions with denominators of 10 and 100, using concrete materials and visual models. Add two fractions with ...
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