Grade 3/Multiplication
Distributive Expansion: 1-digit × 2-digit (836)
Further practice decomposing 2-digit numbers to apply distributive property.
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Teaching Notes
Emphasize decomposing numbers by place value. Connect to mental math strategies.
Vocabulary
Distributive Property: Multiply a sum by multiplying each addend.
Product: The answer when two numbers are multiplied.
Common Mistakes
- Incorrect tens multiple
- Incorrect decomposition
- Error in partial product calculation
- Addition errors
- Forgetting to multiply both parts
Differentiation
SupportUse base ten blocks or area models.
ChallengeChallenge with 1-digit x 3-digit numbers.
Discussion Questions
- Why is breaking apart numbers helpful?
- How does this connect to mental math?
- Can we use this strategy for larger numbers?
- What properties of multiplication are we using?
Extension Activities
- Use base-ten blocks.
- Draw the expansion.
- Multiply larger numbers.
Parent Tip
Help your child break down prices like $2.50 into dollars and cents.
Learning Path
Skill Cluster
Number Sense & Operations
Estimated Time
12 minutes
Skills Practiced
distributive propertysum partials
Prerequisites
- 821
- Place Value (tens and ones)
- Basic Multiplication Facts
- Addition with Regrouping
Next Steps
- Distributive Property with Area Models
- Multiplication: 2-digit by 2-digit using partial products
- Distributive Property: Area Models
- Multiplication: 2-digit by 2-digit