Mathematics · Grade 4
Divide and Interpret Remainders
Connect division with a multiplication decomposition. Divide multi-digit whole numbers by one digit and check remainders. Interpret a remainder differently for seats and complete groups.
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Explore the related learning targets, foundations and possible next connections.
Learning goals
- Connect division with a multiplication decomposition.
- Divide multi-digit whole numbers by one digit and check remainders.
- Interpret a remainder differently for seats and complete groups.
Before you begin
Use the prerequisite representations before moving to independent work.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
Follow the sequence
Complete practice
Divide and Interpret Remainders
Practice · Independent · 30 min
Connect division with a multiplication decomposition. Divide multi-digit whole numbers by one digit and check remainders. Interpret a remainder differently for seats and complete groups. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Divide and Interpret Remainders: Explore and Explain
Explore · Independent · 10 min
Connect division with a multiplication decomposition. Divide multi-digit whole numbers by one digit and check remainders. Interpret a remainder differently for seats and complete groups. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Divide and Interpret Remainders: Practice Independently
Practice · Independent · 15 min
Connect division with a multiplication decomposition. Divide multi-digit whole numbers by one digit and check remainders. Interpret a remainder differently for seats and complete groups. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Divide and Interpret Remainders: Apply and Create
Apply · Independent · 20 min
Connect division with a multiplication decomposition. Divide multi-digit whole numbers by one digit and check remainders. Interpret a remainder differently for seats and complete groups. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Teaching and response guide
- Begin with: Find 3 × 27.
- Connect the response to: Calculate 381 ÷ 3.
- Ask students to apply the idea: 83 students ride in vehicles holding 3 each. How many vehicles are needed for everyone?
Watch for: Check the meaning of each quantity, the operation and the units; a numerical answer alone does not show the full reasoning.
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.