CCSS.Math.Content.3.OA.B
The standard
Understand properties of multiplication and the relationship between multiplication and division.
Common Core State Standards for Mathematics
What this standard means
Students need to see multiplication as more than memorized facts. They should use properties like commutative, associative, and distributive to make facts easier, such as turning 6 × 4 into 4 × 6 or splitting 7 × 8 into 5 × 8 and 2 × 8.
Mastery means students can explain why a strategy works and connect multiplication to division with related facts. Common sticking points are treating properties as tricks, mixing up factor order, and not seeing that 24 ÷ 6 = 4 comes from 6 × 4 = 24.
Ways to teach it
- Hands-on activity: Use counters to build 3 × 6, rotate the array, then record both matching multiplication facts.
- Discussion prompt: Ask, “How could you use 5 × 8 to solve 7 × 8?” and have students show the split on grid paper.
- Quick assessment: Give 4 × 9 = 36 and ask students to write two division facts and explain one in words.
- Real-world connection: Use classroom chair rows to write multiplication and division facts about equal rows and total seats.
Plan a lesson for CCSS.Math.Content.3.OA.B
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Related standards
- 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.