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5th Grade Math
9. 5.NBT.B.6
9.3 Dividing using area models
Dividing Using Area Models
See how to divide using area models: split a dividend into friendly chunks, draw the missing side of a rectangle, and add up the partial quotients.
What You'll Learn
Picture division as a rectangle where the area is the dividend and one side is the divisor
Split the dividend into friendly chunks such as multiples of ten to make each piece easy to divide
Divide each chunk by the divisor separately to find the width of each smaller rectangle
Add the partial quotients together to get the final answer, for example \( 10 + 2 = 12 \)
Check the model by confirming the partial areas add back up to the original dividend
Compare this strategy with dividing using place value to see two ways of reaching the same quotient
What You'll Practice
1
Dividing two-digit numbers by single digits using area models
2
Breaking three-digit and four-digit dividends into manageable parts
3
Finding quotients by splitting numbers into hundreds, tens, and ones
4
Solving division problems with divisors 2 through 9
Why This Matters
Area models give you a visual way to understand division that connects to geometry and builds number sense. This strategy helps you tackle harder division problems by breaking them into steps you already know, preparing you for long division and algebraic thinking.
This Unit Includes
10 Video lessons
Practice exercises
Learning resources
Skills
Area Model
Division
Place Value
Partial Quotients
Visual Models
Multi-digit Division
OH Curriculum Aligned