CCSS.Math.Content.5.NF.A

CCSS.Math.Content.5.NF.A is a cluster heading. These are the individual standards under it.

• 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...

• CCSS.Math.Content.5.NF.A.2

  Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual f...

01

What Students Need to Do

Students rewrite fractions with unlike denominators as equivalent fractions with a common denominator. They then add or subtract the numerators and simplify the result.

02

What Mastery Looks Like

Students find a common denominator and rewrite each fraction correctly. They add or subtract accurately, simplify when needed, and use estimates to check whether answers make sense.

03

Common Misconceptions

Students may add or subtract both numerators and denominators. Some change only the denominator when making equivalent fractions. Others forget to regroup mixed numbers or simplify the final answer.

04

How to Assess It

Exit ticket: Solve 3/4 + 2/3. Show the equivalent fractions you used, then explain why your answer is reasonable.

1. 01

   Give pairs fraction strips to model 1/2 + 1/3, then replace each fraction with equal-sized sixths and record the equation.

2. 02

   Ask, “Why can we add 3/8 and 2/8 directly, but not 3/8 and 2/5?” Students explain with words or drawings.

3. 03

   Play Common Denominator Match by having students pair fraction cards with equivalent-fraction cards before solving each addition or subtraction problem.

4. 04

   Use a recipe card and ask students to find the total amount of flour from two fractional measurements with different denominators.

• CCSS.Math.Content.3.NF.A.3b

  Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction mode...

• 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 mod...

• CCSS.Math.Content.4.NF.B.3c

  Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operation...