5.NR.3Fraction Operations Overview

Expectations

• 5.NR.3.1

  Explain the meaning of a fraction as division of the numerator by the denominator ($\frac{a}{b}$ = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

• 5.NR.3.2

  Compare and order up to three fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies.

• 5.NR.3.3

  Model and solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators.

• 5.NR.3.4

  Model and solve problems involving multiplication of a fraction and a whole number.

• 5.NR.3.5

  Explain why multiplying a whole number by a fraction greater than one results in a product greater than the whole number, and why multiplying a whole number by a fraction less than one results in a product less than the whole number and multiplying a whole number by a fraction equal to one results in a product equal to the whole number.

• 5.NR.3.6

  Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

Georgia Milestones coverage

• Mathematics Grade 5 (EOG) · Numerical Reasoning

  Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.

  about 24% of the test · 14 points

What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning

Recognize a fraction as division of the numerator by the denominator (a/b = a ÷ b). Given a visual representation, compare and order up to three fractions with different numerators and/or different denominators.

Developing

Explain the meaning of a fraction as division of the numerator by the denominator (a/b = a ÷ b). Use part-whole strategies and visual representations to compare two or three fractions with different numerators and/or different denominators. add and subtract fractions and mixed numbers with unlike denominators. solve problems involving multiplication of a fraction and a whole number. solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

Proficient

Use part-whole strategies and visual representations to solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. compare and order three fractions with different numerators and/or different denominators and use the results to solve relevant problems. solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators. solve problems involving multiplication of a fraction and a whole number. explain why the product of a fraction and a whole number is greater than (or less than or equal to) the whole number. solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

Distinguished

Represent and solve relevant complex or multi-step problems involving operations with fractions.

The same standard across grades

1. Kindergarten · K.NR.3

   Use place value understanding to compose and decompose numbers from 11–19.

2. Grade 2 · 2.NR.3

   Work with equal groups to gain foundations for multiplication through real-life, mathematical problems.

3. Grade 5 · 5.NR.3 (this standard)

   Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.

4. Grade 6 · 6.NR.3

   Solve a variety of problems involving whole numbers and their opposites; model rational numbers on a number line to describe problems presented in relevant, mathematical situations.