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8 Arrays And Area Models A1 Lesson 2

Arrays and Area Models

Lesson 2

I can use arrays and area models to I can use arrays and area models to I can use arrays and area models to solve multiplication problems.solve multiplication problems.solve multiplication problems.

TARGETVOCABULARY

array

In the last lesson you grouped objects to show multiplication. Another way to show multiplication is to put the objects into arrays. An array is when objects orsymbols are organized into rows and columns. When using arrays in multiplication, the symbol × can also be read “rows of ”.

In this array, there are 3 rows. In each row there are 2 soccer balls.

3 rows of 2 equals 6 soccer balls 3 × 2 = 6 soccer balls

Use this array to fi ll in the blanks.

rows of equals rabbits

× = rabbits

Row 1

Row 2

Row 3

array is when objects orarray is when objects orarray

area model

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©2011 Digging into Math

A1 Lesson 2 Arrays And Area Models 9

Draw 4 rows of 3 cars. Use your array to fi ll in the blanks.

rows of equals

× =

Sometimes drawing objects in groups or arrays takes too much time. Another way you can make an array is to color in a grid. Th is special type of array is called an area model. An area model is made of shaded squares organized into rows and columns.

If you were asked to color an area model with 2 rows of 4 on a grid, your area model would look like the one on the right. You would color a total of 8 squares.

Write the multiplication equation for each area model.

× = × =

Misty had 3 rows of 5 pennies. How many pennies did she have?

Color in 3 rows of 5 squares to represent pennies.

rows of equals

× = pennies

2 × 4 = 8

area model is made of shaded squares organized into rows and

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Area models can show that there is more than one way to use multiplication to equal the same product.

When looking for products that equal 6, here are the area models that work:

1 row of 6 = 6 2 rows of 3 = 6 1 × 6 = 6 3 rows of 2 = 6 2 × 3 = 6 3 × 2 = 6

6 rows of 1 = 6 6 × 1 = 6

Use the grids to draw the three different area models that equal 4.

rows of = 4 rows of = 4 rows of = 4

× = 4 × = 4 × = 4

Use the grids to draw the two different area models that equal 3.

rows of = 3 rows of = 3 × = 3 × = 3

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SAMPLE



1. Use the array to fill in the blanks. rows of = buses

× = buses

2. Use the array to write a multiplication equation.

× =

3. Draw an array that has 6 rows of 4 candles. Write a multiplication equation to match your array.

4. Chase organized his tiles into the area model below. Fill in the missing information.

rows of =

× =

Name:Practice Practice

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5. Use the grid to make an area model that has 3 rows of 2. Write a multiplication equation to match.

× =

6. Use the grid to make an area model that matches the equation: 4 × 1 = 4.

7. Use the grids to shade in two different area models that equal 5. Write the equations that match each area model.

× = × =

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Write the multiplication equation that matches each area model.

8. 9.

× = × =

10. 11.

× = × =

12. 13.

× = × =

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Fill in the circle for the letter with the best answer.

1. Carl has a collection of baseball caps. Which of the following can be used to find the number of baseball hats in Carl’s collection?

A 4 + 2

B 2 × 4

C 2 × 2

D 4 + 4 + 4 + 4

3. Which area model shows 3 × 2?

A

B

C

D 2. Which of the following best represents the array below?

A 5 + 3

B 5 + 5 + 5 + 5 + 5

C 5 × 3

D 3 + 3 + 3

Skill Check

Name: Skill Check

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Solve each problem. Show all work.

4. Draw an array that has 2 rows of 5 stars.

Answer: 2 × 5 =

5. Use the grid to make an array that matches the equation 4 × 3.

Answer: 4 × 3 =

Skill Check

Skill Check

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SAMPLE


arrays and area models - digging into mathdiggingintomath.com/pdf/samplegrade3lesson.pdf14 arrays...

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