Multi-Digit Division:
Learning Objective:
4.NBT.6 Find whole number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Essential Understandings:
In this unit, students will apply their understanding of place value to help them explore multiple groups or
division. Students will utilize their knowledge of base ten and groups of numbers within another number
to help them solve for multi-digit division. This will be the students’ first exposure to remainders.
Students will be asked to reason with remainders and make connections to prime and composite numbers.
Students will solve multi-digit division problems with the use of various strategies listed below. Students
will not be required to use the standard algorithm until middle school.
Multi-Digit Division Strategies:
4.NBT.6 Find whole number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Essential Understandings:
In this unit, students will apply their understanding of place value to help them explore multiple groups or
division. Students will utilize their knowledge of base ten and groups of numbers within another number
to help them solve for multi-digit division. This will be the students’ first exposure to remainders.
Students will be asked to reason with remainders and make connections to prime and composite numbers.
Students will solve multi-digit division problems with the use of various strategies listed below. Students
will not be required to use the standard algorithm until middle school.
Multi-Digit Division Strategies:
- Division with Base Ten Blocks
- Division with Area/Array Models
- Division with Partial Quotients
- How does an understanding of the place value system help when multiplying multi-digit numbers?
- How can you apply what you have learned about area/arrays to multiplication?
- division, divide, dividend, divisor, quotient, inverse operation of multiplication, area, array, area model, partial quotients, remainder,
Strategy Videos for Solving Multi-Digit Division:
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Songs & Videos:
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