math · Grade 4
Multiply With Place Value
Use decomposition to explain multi-digit multiplication.
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Explore the related learning targets, foundations and possible next connections.
Learning goals
- Use decomposition to explain multi-digit multiplication.
Before you begin
Understand the words and representations introduced in the Explore activity.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
Follow the sequence
Complete practice
Practice previewMultiply With Place Value
Practice · Independent · 25 min
Use decomposition to explain multi-digit multiplication. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Practice previewMultiply With Place Value: Explore and Explain
Explore · Independent · 10 min
Use decomposition to explain multi-digit multiplication. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Practice previewMultiply With Place Value: Practice Independently
Practice · Independent · 10 min
Use decomposition to explain multi-digit multiplication. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Practice previewMultiply With Place Value: Apply and Create
Apply · Independent · 15 min
Use decomposition to explain multi-digit multiplication. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Download the unit pack
Numbered activities, separate answer keys and a teaching guide in one ZIP. The pack uses the focused sequence; the complete practice sheet above is an alternative.
Teaching and response guide
- Begin with: Complete: 34 × 6 = 30 × 6 + ___ × 6.
- Connect the response to: Find 25 × 12 using 25 × 10 + 25 × 2.
- Ask students to apply the idea: A student says 31 × 4 = 12 + 4. What should the first partial product be?
Watch for: Accepting an answer without checking whether it uses the material and satisfies the requested relationship or criteria.
Check the answer criteria for each task. A supported explanation may have more than one acceptable response. These activities offer evidence to discuss; completing a sheet alone does not establish mastery.