4.NR.5Decimal Fractions & Comparison

Expectations

• 4.NR.5.1

  Demonstrate and explain the concept of equivalent fractions with denominators of 10 and 100, using concrete materials and visual models. Add two fractions with denominators of 10 and 100.

• 4.NR.5.2

  Represent, read, and write fractions with denominators of 10 or 100 using decimal notation, and decimal numbers to the hundredths place as fractions, using concrete materials and drawings.

• 4.NR.5.3

  Compare two decimal numbers to the hundredths place by reasoning about their size. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.

Georgia Milestones coverage

• Mathematics Grade 4 (EOG) · Numerical Reasoning

  Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models.

  about 12% of the test · 7 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, identify equivalent fractions with denominators of 10 and 100. Given a visual representation, identify equivalency between a fraction with a denominator of 10 or 100 and a decimal number. Given a visual representation, compare two decimal numbers to the hundredths place using >, =, and < symbols.

Developing

Identify or create equivalent fractions with denominators of 10 and 100. Represent fractions with denominators of 10 or 100 as a decimal number. Compare two decimal numbers to the hundredths place using >, =, and < symbols.

Proficient

Add two fractions with denominators of 10 and 100. Represent a decimal number to the hundredths place as a fraction. Compare two decimal numbers to the hundredths place to solve real-life problems.

Distinguished

Solve real-life problems involving comparison of fractions with denominators of 10 or 100 to decimal numbers to the hundredths place.

The same standard across grades

1. Kindergarten · K.NR.5

   Explain the concepts of addition, subtraction, and equality and use these concepts to solve real-life problems within 10.

2. Grade 1 · 1.NR.5

   Use concrete models, the base ten structure, and properties of operations to add and subtract within 100.

3. Grade 4 · 4.NR.5 (this standard)

   Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths and hundredths using part-whole strategies and visual models.

4. Grade 5 · 5.NR.5

   Write, interpret, and evaluate numerical expressions within authentic problems.