Download Math 4.10

Math
Unit 4 Lesson 10
Apply the distributive property as a
strategy to find the total area of a
rectangle.
Skip Count!
Skip Count By 6s To 60 …
6
36
12
42
18
48
24
54
30
60
Skip Count By 7s To 70 …
7
42
14
49
21
56
28
63
35
70
Skip Count by 8s to 80 …
8
48
16
56
24
64
32
72
40
80
Skip Count by 9s to 90 …
9
54
18
63
27
72
36
81
45
90
Find the Unknown Factor
4 x _____ = 12
3 x _____ = 12
6 x _____ = 12
3 x _____ = 24
2 x _____ = 12
8 x _____ = 24
FIND THE UNKNOWN FACTOR &
SAY THE EQUATION.
Find the Unknown Factor
6 x _____ = 24
3 x _____ = 24
4 x _____ = 24
4 x _____ = 36
9 x _____ = 72
6 x _____ = 48
FIND THE UNKNOWN FACTOR &
SAY THE EQUATION.
Find the Unknown Factor
12 x ____ = 48
8 x _____ = 72
6 x _____ = 72
2 x _____ = 24
6 x _____ = 36
12 x _____ = 72
FIND THE UNKNOWN FACTOR &
SAY THE EQUATION.
Problem of the Day
Ydsan folds a 6 by 6 square-inch piece of paper into 4 equal
parts (shown below). What is the area of 1 of the parts?
3 in
Divide 6 in. equally
between each box.
6 in.
3 in
3 in
6 x 6 = 36
36 ÷ 4 = 9
6 in.
3x3=9
3 in
The area of one part is
9 square inches.
Concept Development
Pass out a tiling
rectangle to each
student.
Today we are going to
work with three
rectangles:
 The large rectangle
 The shaded
rectangle
 The unshaded
rectangle
Use your square
centimeter tiles to find
the side lengths of the
large rectangle.
Concept Development
6 cm
What is the area of the
large rectangle?
8 cm
Concept Development
6 cm
What are the side
lengths of the shaded
rectangle?
5x6
5 cm
Next, write an
expression that we
can use to find the
area of the shaded
rectangle.
Concept Development
6 cm
What are the side lengths
of the unshaded
rectangle?
5x6
5 cm
6 cm
3 cm
3x6
Next, write an
expression that we can
use to find the area of
the unshaded rectangle.
Concept Development
6 cm
5x6
5 cm
How can we use these
two expressions to find the
area of the large
rectangle?
Write an
We
can ADD
equation
(5 x 6 ) + (3that
x 6)
them!
shows
this.
3 cm
3x6
Concept Development
6 cm
5x6
Read your number
sentence to your partner,
then find it’s value.
5 cm
48 square
(5 x 6 ) + (3 x 6)
centimeters
3 cm
3x6
Concept Development
6 cm
48 square
centimeters
5 cm
3 cm
WAIT! Is this the
answer you got when
you tiled the large
rectangle?
Write the side length of
the large rectangle as
an addition equation.
(5 + 3)
Concept Development
6 cm
(5 + 3)
5 cm
What will you multiply
this by to find the area
of the large rectangle?
6!
3 cm
Write that into your
expression. Make sure
to put in parentheses
to show what we need
to do first!
Concept Development
6 cm
(5 + 3) x 6
5 cm
So what is (5 +3)?
8!
So what is the area?
3 cm
Concept Development
6 cm
5 cm
Distributive Property
Equations showing
the area of the
rectangle:
8x6
(5 + 3) x 6
3 cm
(5 x 6) + (3 x
6)
Problem Set!