Georgia 5.NR.4

Math5th GradeNumerical Reasoning

Georgia Standard (Expectation Cluster)

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.

Georgia's K-12 Mathematics Standards

Cluster contents

Expectations in This Standard

5.NR.4 is a Georgia mathematics standard. These are the expectations under it.

Teacher's field guide

What This Cluster Means

What Students Need to Do

Students read and write decimals in standard, word, and expanded form through thousandths. They compare and order values, then round to two decimal places. They choose and carry out decimal operations to solve money, measurement, and other word problems.

What Mastery Looks Like

A student can explain why 3.405 is greater than 3.399 and can round a decimal accurately. The student chooses the correct operation for a money or measurement problem, computes correctly, labels the answer, and checks whether it is reasonable.

Common Misconceptions

Students may say 0.7 is less than 0.48 because 7 is less than 48. They may think trailing zeros change a decimal’s value or align digits instead of decimal points during calculations. When rounding, they may check the wrong digit or guess where to place the decimal in a product or quotient.

How to Assess It

Give this exit ticket: write 4.307 in words and expanded form, compare 4.307 and 4.37, round 6.285 to hundredths, then find the cost of three notebooks at $2.45 each. Ask students to explain one answer using place value.

Lesson moves

Ways to Teach It

  1. Give pairs place-value mats and digit cards; have them build, read, compare, and round six decimals, including examples with interior and trailing zeros.

  2. Prompt: “Is 2.5 greater than 2.49? Explain with a place-value chart, words, or a number line.”

  3. Play Decimal Operation Bingo: call out addition, subtraction, multiplication, and division problems using hundredths; students cover the matching answers.

  4. Use a grocery receipt to estimate the total, calculate the exact total and change, then explain whether each answer is reasonable.

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Printable 5.NR.4 Worksheet

Preview of the 5.NR.4 printable worksheet

A ready-to-print activity worksheet aligned to 5.NR.4, with an answer key for the teacher on its own page. No account needed.

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