Arrays and Area Models
Lesson 2
VOCABULARY
TARGET
del
I can use arrays and area models to
solve multiplication problems.
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area m
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array
In the last lesson you grouped objects to show multiplication. Another way to
Row 2
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
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Row 3
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Row 1
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show multiplication is to put the objects into arrays. An array is when objects or
symbols are organized into rows and columns. When using arrays in
multiplication, the symbol × can also be read “rows of ”.
Use this array to fill in the blanks.
rows of
×
8
Arrays And Area Models
©2011 Digging into Math
=
equals
rabbits
rabbits
A1 Lesson 2
Draw 4 rows of 3 cars. Use your array to fill in the blanks.
rows of
equals
×
=
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Sometimes drawing objects in groups or arrays takes too much time. Another way
you can make an array is to color in a grid. This special type of array is called an
area model. An area model is made of shaded squares organized into rows and
columns.
2×4=8
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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.
=
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×
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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
×
A1 Lesson 2
equals
=
pennies
©2011 Digging into Math
Arrays And Area Models
9
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:
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6 rows of 1 = 6
6×1=6
1 row of 6 = 6
1×6=6
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2 rows of 3 = 6
3 rows of 2 = 6
2×3=6
3×2=6
rows of
×
= 4
= 4 rows of
= 4
rows of
×
= 4 ×
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SA
Use the grids to draw the three different area models that equal 4.
=4
=4
SA
Use the grids to draw the two different area models that equal 3.
10
rows of
×
= 3
= 3 Arrays And Area Models
©2011 Digging into Math
rows of
×
= 3
= 3
A1 Lesson 2
Practice Name:
Practice
1. Use the array to fill in the blanks.
rows of
×
=
buses
buses
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=
×
SA
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2. Use the array to write a multiplication equation.
=
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3. Draw an array that has 6 rows of 4 candles. Write a multiplication
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equation to match your array.
4. Chase organized his tiles into the area model below. Fill in the
missing information.
rows of
×
=
=
A1 Lesson 2 ©2011 Digging into Math
Arrays And Area Models
11
5. Use the grid to make an area model that has 3 rows of 2. Write a
multiplication equation to match.
×
=
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SA
4 × 1 = 4.
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6. Use the grid to make an area model that matches the equation:
7. Use the grids to shade in two different area models that equal 5. Write
12
×
=
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the equations that match each area model.
Arrays And Area Models
©2011 Digging into Math
×
=
A1 Lesson 2
Write the multiplication equation that matches each area model.
8.
9.
=
×
=
×
=
12.
=
×
=
13.
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×
11.
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SA
10.
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×
A1 Lesson 2 ©2011 Digging into Math
×
=
Arrays And Area Models
13
Skill
Check
Skill
Check
Name:
Fill in the circle for the letter with the best answer.
1. Carl has a collection of baseball 3. Which area model shows 3 × 2?
A
A 4 + 2
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B 2×4
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caps. Which of the following
can be used to find the number
of baseball hats in Carl’s
collection?
B
C
D 4 + 4 + 4 + 4
2. Which of the following best
A 5 + 3
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represents the array below?
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C 2×2
B 5+5+5+5+5
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C
5×3
D
3+3+3
Arrays And Area Models
©2011 Digging into Math
A1 Lesson 2
Skill
Check
Skill
Check
Solve each problem. Show all work.
4. Draw an array that has 2 rows 5. Use the grid to make an array
that matches the equation
4 × 3.
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of 5 stars.
Answer:
2×5=
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SA
Answer:
4×3=
A1 Lesson 2 ©2011 Digging into Math
Arrays And Area Models
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