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Fractions: Grades 3-5. Equivalency, Addition, and Subtraction Druid Hills Elementary. CCSS.Math.Content.3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

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fractions grades 3 5

Fractions: Grades 3-5

Equivalency, Addition, and Subtraction

Druid Hills Elementary


CCSS.Math.Content.3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

which factions are equal
Which Factions are Equal
  • Fraction Cards
  • Hexagon Cookies
ways make a whole
Ways Make a Whole
  • Fractions Cards
  • Hexagon Cookies
grade 4
Grade 4
  • CCSS.Math.Content.4.NF.B.3a
  • Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Know that adding and subtraction of fractions is the putting together and taking apart of same sized pieces from the same whole.

grade 41
Grade 4
  • CCSS.Math.Content.4.NF.B.3cAdd and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

Use what you know about equivalency or decomposing numbers to add and subtract fractions.

grade 42
Grade 4

CCSS.Math.Content.4.NF.B.3d Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.


Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12.


making fraction cards or coloring activity
Making Fraction Cards or Coloring Activity?

As students make the cards, what do you need to do to ensure they are engaging in

  • 4.NF.1
  • 4.NF.2
  • Others?

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 1/2. 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.

4.NF.1. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × 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.

combinations to 1
Combinations to 1

How could students prove whether the following equation is true or false?

+ + + = 1

But I thought students didn’t have to add with unlike denominators! Read teacher note p. 56

grade 5
Grade 5
  • CCSS.Math.Content.5.NF.A.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
thank you
Thank You!

Kaneka Turner: