Wyoming Math 5.NF.7

5.NF.7 is a cluster heading. These are the individual standards under it.

• 5.NF.7c

  Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions by using visual fractio...

01

What Students Need to Do

Students split a unit fraction into equal shares or count how many unit fractions fit in a whole number. They draw a model and write an equation to solve each problem.

02

What Mastery Looks Like

A student can show that sharing 1/2 equally among 3 people gives each person 1/6. They can also show that 3 wholes contain 12 fourths and write 3 ÷ 1/4 = 12.

03

Common Misconceptions

Students may reverse the numbers and say 1/2 ÷ 3 = 3/2. They may say 3 ÷ 1/4 = 3/4 because they multiply instead of counting how many fourths fit in 3.

04

How to Assess It

On an exit ticket, ask: “What is 1/3 ÷ 2? What is 2 ÷ 1/3?” Have students draw a model and write an equation for each.

1. 01

   Have students fold a paper strip showing 1/2 into three equal shares, label each share, and write the division equation.

2. 02

   Ask pairs to sketch and explain why 2 ÷ 1/4 is greater than 2, but 1/2 ÷ 2 is less than 1/2.

3. 03

   Give pairs cards with fraction strips, equations, and answers for 1/3 ÷ 2 and 2 ÷ 1/3; have them match the sets.

4. 04

   Show a 1/4-cup scoop and ask how many scoops fill a 2-cup container; students draw the cups and write an equation.

• 5.NF.6

  Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem.

• 5.NF.3

  Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers i...

• 6.NS.1

  Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions by using visual fraction models and equations...