4.NR.4Fraction Operations & Comparison

Expectations

• 4.NR.4.1

  Using concrete materials, drawings, and number lines, demonstrate and explain the relationship between equivalent fractions, including fractions greater than one, and explain the identity property of multiplication as it relates to equivalent fractions. Generate equivalent fractions using these relationships.

• 4.NR.4.2

  Compare two fractions with the same numerator or the same denominator by reasoning about their size and recognize that comparisons are valid only when the two fractions refer to the same whole.

• 4.NR.4.3

  Compare two fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies and recognize that comparisons are valid only when the two fractions refer to the same whole.

• 4.NR.4.4

  Represent whole numbers and fractions as the sum of unit fractions.

• 4.NR.4.5

  Represent a fraction as a sum of fractions with the same denominator in more than one way, recording with an equation.

• 4.NR.4.6

  Add and subtract fractions and mixed numbers with like denominators using a variety of tools.

Georgia Milestones coverage

• Mathematics Grade 4 (EOG) · Numerical Reasoning

  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.

  about 14% of the test · 8 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

Given a visual representation, compare two fractions with different numerators and different denominators. Given a visual representation, represent a fraction as a sum of fractions with the same denominator using an equation. Given a visual representation, add and subtract fractions with like denominators.

Developing

Generate equivalent fractions. Compare two fractions with the same numerator or the same denominator. Represent a fraction or a whole number as the sum of unit fractions. Represent a fraction as a sum of fractions with the same denominator using an equation. Add and subtract fractions with like denominators.

Proficient

Explain the relationship between equivalent fractions in real-life problems. Compare two fractions with the same numerator or the same denominator to solve real-life problems. Compare two fractions with different numerators and different denominators. Solve real-life mathematical problems by representing fractions or whole numbers as the sum of unit fractions. Identify sums of fractions that are equivalent to a given fraction in more than one way. Add and subtract fractions and mixed numbers with like denominators in real-life problems.

Distinguished

Solve real-life problems involving addition, subtraction, equivalence, and comparison of fractions. Compare two fractions with different numerators and different denominators to solve real-life mathematical problems. Add and subtract fractions and mixed numbers with like denominators to solve complex real-life problems.

The same standard across grades

1. Kindergarten · K.NR.4

   Identify, write, represent, and compare numbers up to 20.

2. Grade 3 · 3.NR.4

   Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models.

3. Grade 4 · 4.NR.4 (this standard)

   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.

4. Grade 5 · 5.NR.4

   Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

5. Grade 6 · 6.NR.4

   Solve a variety of contextual problems involving ratios, unit rates, equivalent ratios, percentages, and conversions within measurement systems using proportional reasoning.