Divide With an Area Model and 1 Digit Divisors
Written by Adi Ackerman, Head Teacher
"Divide With an Area Model and 1 Digit Divisors" is written for 5th Grade (Ages 10-11), and it covers Common Core 5.NBT.B.6. If your little one is a year younger but already steady on multiplication & division, the page still works. You may just need to read the instructions out loud. And if they are older and area model division never quite stuck, this is a short review rather than busywork.
5th grade math worksheet: split 6 dividends like 5,424 and 7,744 into parts in an area model to divide by a 1 digit number. Answer key included. Part of our area model division collection. Aligned to Common Core standards.
How do I use this worksheet?
Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently and self-check their own work against an answer key before you review it as a class, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These area model division worksheets work well as daily practice, homework, or a focused review activity.
What students will practice
- Students will split 6 dividends such as 5,424 into parts in an area model.
- Students will divide each part by the side number, as in 1,200 ÷ 4 = 300.
- Students will add the partial quotients to divide numbers like 7,744 ÷ 8.
Curriculum Links
Common Core State Standards
Number and Operations in Base Ten · 5th Grade
Standard: Find whole-number quotients and remainders with up to four-digit dividends and two-digit divisors.
View all 5.NBT.B.6 worksheets →Find this in the curriculum
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FAQ
How do I use this area model division worksheet?
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Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently and self-check their own work against an answer key before you review it as a class, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These area model division worksheets work well as daily practice, homework, or a focused review activity.
What does this worksheet teach?
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Split 6 dividends like 5,424 and 7,744 into parts in an area model to divide by a 1 digit number. An area model splits a number into parts, one per box: for 1,248 ÷ 4, the parts 1,200, 40 and 8 give 300 + 10 + 2 = 312. A box may stay empty. The directions on the page read: Write each part in a big box and that part divided by the side number in the small box above it. Then, write the sum of the small boxes after =. An answer key is included.
Can I use this area model division worksheet for homeschool or classroom?
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Yes, both. We made it for 5th Grade multiplication & division, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with area model division. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
What is an area model for division?
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It is a rectangle with the divisor on the side and the dividend split into parts inside. Each part is divided by the side number, and the answers add up to the quotient: 5,424 ÷ 4 splits into 4,000, 1,200, 200 and 24, giving 1,000 + 300 + 50 + 6 = 1,356.
Is there only one right way to split the dividend?
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No. Any split works as long as each part divides evenly and the parts add up to the dividend. The answer key shows the place value split, such as 6,000, 2,400, 120 and 12 for 8,532 ÷ 6.
Is there an answer key?
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Yes. All 3 area model division sheets have an answer key.
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Worksheet Details
| Grade | 5th Grade |
| Subject | Math |
| Topic | Multiplication & Division |
| Standard | 5.NBT.B.6 |
| Pages | 1 page |
| Difficulty | Medium |
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