Packing the Cargo: Multi-Digit Division with Area Models & Partial Quotients
Shared by A STEM Educator
Students will divide dividends up to 4 digits by 1-digit divisors using area models and partial quotients, and will interpret remainders contextually to make real-world decisions about rounding up, dropping, or expressing the remainder as a fraction.
Lesson Overview
Students progress from dividing 2-digit dividends by 1-digit divisors using partial quotients and area models, up to dividing 4-digit dividends with remainders and making contextual decisions about how to interpret those remainders in a fleet logistics scenario.
Materials
- Vertical whiteboards or large chart paper (one per group of 3)
- Dry-erase markers (multiple colors per group)
- Erasers or paper towels
- Random grouping cards
- Printed consolidation note sheets (one per student)
- Pencils
Scaffolded Task Progression
Use a partial quotients tower OR an area model rectangle on your board to show your thinking. Label every chunk.
[ Interactive graph / diagram — available in the full lesson ]
Show your work using a partial quotients tower on your board. Write each multiplication chunk you subtract.
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