CCSS.Math.Content.6.NS.B

Math6th GradeThe Number System

Standard Cluster

Compute fluently with multi-digit numbers and find common factors and multiples.

Common Core State Standards for Mathematics

Cluster contents

Standards in This Cluster

CCSS.Math.Content.6.NS.B is a cluster heading. These are the individual standards under it.

Teacher's field guide

What This Cluster Means

What Students Need to Do

Students use standard algorithms to divide multi-digit whole numbers and perform all four operations with decimals. They find greatest common factors and least common multiples. They also rewrite sums by factoring out a shared factor.

What Mastery Looks Like

Students calculate accurately, place decimal points correctly, and check whether answers are reasonable. They can generate factors and multiples, identify the requested shared value, and explain a factored expression.

Common Misconceptions

Students often align digits instead of place values in decimal addition and subtraction. They may place decimal points by guesswork, confuse factors with multiples, or choose any shared value instead of the greatest or least one. When factoring a sum, they may divide only one term by the common factor.

How to Assess It

Give an exit ticket: solve 4,872 ÷ 24, 6.35 − 2.708, and 3.6 ÷ 0.45. Then find the greatest common factor and least common multiple of 18 and 24, and rewrite 18 + 24 by factoring.

Lesson moves

Ways to Teach It

  1. Use 24 red and 36 blue counters to build equal groups, then identify the greatest group size with no leftovers.

  2. Ask students to compare two solutions to 8.4 ÷ 0.7 and explain which decimal placement is correct and why.

  3. Play Factor-Multiple Bingo by calling numbers from 1 to 50 while students cover matching factors or multiples on their boards.

  4. Use a grocery ad to total three decimal prices, calculate change from $20, and divide the cost equally among four people.

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Printable 6.NS.B Worksheet

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