Instructions
- An array is a group of equal rows and columns. Each square represents 1 object.
- For each grid, shade the number of rows and squares in each row shown.
- Count the shaded squares to find the total.
- Write a division equation using this pattern: total ÷ number of rows = number in each row
- Check your work by multiplying the number of rows by the number in each row.
Example: Shade 2 rows with 3 squares in each row. There are 6 squares altogether.
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Division equation: 6 ÷ 2 = 3
Part 1: Build an Array
1. Garden Seeds
Shade 2 rows with 3 seeds in each row. Then write the division equation.
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Division equation: __
2. Snack Packs
Shade 3 rows with 4 crackers in each row. Then write the division equation.
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Division equation: __
3. Toy Cars
Shade 4 rows with 2 cars in each row. Then write the division equation.
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Division equation: __
Part 2: More Arrays
4. Flower Pots
Shade 3 rows with 5 pots in each row. Then complete the equation.
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÷ = _____
5. Library Books
Shade 5 rows with 4 books in each row. Then complete the equation.
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÷ = _____
6. Picnic Plates
Shade 4 rows with 6 plates in each row. Then complete the equation.
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÷ = _____
Part 3: Choose the Correct Equation
Circle the equation that matches each array.
7.
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- 6 ÷ 2 = 3
- 8 ÷ 2 = 4
- 8 ÷ 4 = 2
8.
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- 12 ÷ 3 = 4
- 12 ÷ 4 = 3
- 9 ÷ 3 = 3
9.
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- 15 ÷ 3 = 5
- 15 ÷ 5 = 3
- 12 ÷ 3 = 4
Part 4: Real-World Division
Draw an array to solve each problem. Then write a division equation.
10. Pencil Boxes
There are 12 pencils. They are placed equally into 3 boxes. How many pencils go in each box?
Array or drawing:
Division equation: __
Answer: __ pencils in each box
11. Team Badges
A coach has 20 badges and gives the same number to 5 teams. How many badges does each team get?
Array or drawing:
Division equation: __
Answer: __ badges for each team
Part 5: Think About Arrays
12. Explain Your Thinking
How does an array help you solve a division problem?
13. Fact Family
Use the array below to write one division equation and one multiplication equation.
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Division equation: __
Multiplication equation: ____
Optional Challenge
14. Two Ways to Divide
There are 24 counters. Write two different division equations that use 24 as the total. Draw an array for each equation.
First equation: _____
Array:
Second equation: ____
Array:
15. Create Your Own
Create an array with at least 3 rows. Write the matching division equation.
Your array:
Division equation: __
Answer Key
- Shade 6 squares. 6 ÷ 2 = 3
- Shade 12 squares. 12 ÷ 3 = 4
- Shade 8 squares. 8 ÷ 4 = 2
- 15 ÷ 3 = 5
- 20 ÷ 5 = 4
- 24 ÷ 4 = 6
- 8 ÷ 2 = 4 is the equation that follows total ÷ number of rows = number in each row. 8 ÷ 4 = 2 is also a true division fact for the same array if the columns are used as groups.
- 12 ÷ 4 = 3 follows total ÷ number of rows = number in each row. 12 ÷ 3 = 4 is also a true division fact if the columns are used as groups.
- 15 ÷ 3 = 5 follows total ÷ number of rows = number in each row. 15 ÷ 5 = 3 is also a true division fact if the columns are used as groups.
- 12 ÷ 3 = 4; each box gets 4 pencils.
- 20 ÷ 5 = 4; each team gets 4 badges.
- Answers will vary. A complete response should explain that an array shows equal groups, making it easier to count the total and divide it into equal rows or columns.
- 12 ÷ 2 = 6; 2 × 6 = 12. The related equation 12 ÷ 6 = 2 is also correct.
- Answers will vary. Possible equations include 24 ÷ 3 = 8, 24 ÷ 4 = 6, 24 ÷ 6 = 4, 24 ÷ 8 = 3, 24 ÷ 2 = 12, or 24 ÷ 12 = 2.
- Answers will vary. The array must have equal rows, and the division equation must match the total, number of rows, and number in each row.