CCSS.Math.Content.3.OA.B

CCSS.Math.Content.3.OA.B is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.3.OA.B.5

  Apply properties of operations as strategies to multiply and divide.

• CCSS.Math.Content.3.OA.B.6

  Understand division as an unknown-factor problem.

01

What Students Need to Do

Students reorder, regroup, or split factors to make multiplication facts easier to solve. They connect division to multiplication by treating the quotient as a missing factor.

02

What Mastery Looks Like

A student can rewrite 7 times 6 as 5 times 6 plus 2 times 6 and explain why the products match. The student can solve 42 divided by 6 by finding the missing factor in 6 times a number equals 42.

03

Common Misconceptions

Students may assume multiplication and division follow the same properties, such as believing 24 divided by 6 equals 6 divided by 24. They may split a factor but forget to multiply each part. Some change factor order correctly but think the product also changes.

04

How to Assess It

Give this exit ticket: Solve 8 times 6 by splitting one factor, then use the product to solve 48 divided by 6. Show equations for both steps.

1. 01

   Build a 4 by 6 array with counters, rotate it, then split it into two smaller arrays and record matching equations.

2. 02

   Ask students to explain which is easier, 7 times 8 or 5 times 8 plus 2 times 8, and why.

3. 03

   Play a card match game pairing multiplication facts, division facts, and missing-factor equations from the same fact family.

4. 04

   Give students 24 markers and ask them to show different equal groups, then write multiplication and division equations for each arrangement.

• CCSS.Math.Content.1.OA.B

  Understand and apply properties of operations and the relationship between addition and subtraction.

• CCSS.Math.Content.3.OA.A

  Represent and solve problems involving multiplication and division.

• CCSS.Math.Content.6.NS.A

  Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

• CCSS.Math.Content.5.NF.B

  Apply and extend previous understandings of multiplication and division to multiply and divide fractions.