Directions: Find theareas of the
following figures.
@
@
R E V I E W
@
@
P R E - L E S S O N
3.
1. 2.
@
@
R EV I E W
Area: ________ Area:________
@
@
P R E - L E S S O N
4.
3. 4.
@
@
R EV I E W
Area: ________ Area:________
@
@
P R E - L E S S O N
5.
5. 6.
@
@
R EV I E W
Area: ________ Area:________
@
@
P R E - L E S S O N
6.
Check if thefollowing
squares are fully filled,
more than half filled, half
filled, less than half filled,
or empty.
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
7.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
8.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
9.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
10.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
11.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
12.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
13.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
14.
[ ] Fullyfilled
[ ] More than half filled
[ ] Half filled
[ ] Less than half filled
[ ] Empty
@
@
M O T I VAT I O N
@
@
P R E - L E S S O N
Let us tryto find the area of the
following figures.
@
@
D I S C U S S I O N
17.
Estimating Area
Using aGrid
When a figure is drawn on
a grid, we can estimate its
area by counting how
much of the grid it covers.
@
@
D I S C U S S I O N
18.
Since each squareon
the grid usually represents
1 square unit, we just need
to figure out how much of
each square is filled by the
shape.
@
@
D I S C U S S I O N
19.
Steps to EstimateArea
Step 1: Count the squares
Look at the shape and
count how many grid
squares fall into each of
these categories:
@
@
D I S C U S S I O N
20.
• Fully FilledSquares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
21.
• Half FilledSquares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
22.
Step 2: Multiplywith value
Each type of square is worth
a different amount when
estimating area:
• Fully filled → × 1
• More than half filled → × 1
• Half filled → × 0.5
• Less than half → × 0
@
@
D I S C U S S I O N
23.
Step 3: Addthe values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N
24.
@
@
D I SC U S S I O N
Shape
Fully
Filled
More than
Half
Half
Filled
Less
than
Half
Estimate
d Area
Triangle 4 2 3 3 7 1/2
Parallelog
ram
8 5 0 4 13
Trapezoid 9 1 3 2 11 1/2
25.
Directions: Find theareas of the
following figures.
@
@
A C T I V I T Y 1
@
@
F O R M AT I V E A S S E S S M E N T
26.
@
@
A C TI V I T Y 1
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
1.
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
F O R M AT I V E A S S E S S M E N T
27.
@
@
A C TI V I T Y 1
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
2.
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
F O R M AT I V E A S S E S S M E N T
28.
@
@
A C TI V I T Y 1
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
3.
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
F O R M AT I V E A S S E S S M E N T
29.
Directions: Find theareas of
the following figures using the
table.
@
@
A S S E S S M E N T
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
30.
@
@
A S SE S S M E N T
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
31.
@
@
A S SE S S M E N T
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
A
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
32.
@
@
A S SE S S M E N T
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
B
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
33.
@
@
A S SE S S M E N T
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
C
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
34.
@
@
A S SE S S M E N T
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
D
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
35.
@
@
A S SE S S M E N T
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
E
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
Let us tryto find the area of the
following figures.
@
@
D I S C U S S I O N
43.
Estimating Area
Using aGrid
When a figure is drawn on
a grid, we can estimate its
area by counting how
much of the grid it covers.
@
@
D I S C U S S I O N
44.
Since each squareon
the grid usually represents
1 square unit, we just need
to figure out how much of
each square is filled by the
shape.
@
@
D I S C U S S I O N
45.
Steps to EstimateArea
Step 1: Count the squares
Look at the shape and
count how many grid
squares fall into each of
these categories:
@
@
D I S C U S S I O N
46.
• Fully FilledSquares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
47.
• Half FilledSquares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
48.
Step 2: Multiplywith value
Each type of square is worth
a different amount when
estimating area:
• Fully filled → × 1
• More than half filled → × 1
• Half filled → × 0.5
• Less than half → × 0
@
@
D I S C U S S I O N
49.
Step 3: Addthe values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N
50.
@
@
D I SC U S S I O N
Shape
Fully
Filled
More than
Half
Half
Filled
Less
than
Half
Estimate
d Area
Triangle 4 2 3 3 7 1/2
Parallelog
ram
8 5 0 4 13
Trapezoid 9 1 3 2 11 1/2
51.
Directions: Find theestimated
areas of the following figures.
@
@
A C T I V I T Y 2
@
@
F O R M AT I V E A S S E S S M E N T
Directions: Write TRUEif the
estimated area of the
following figures are correct,
FALSE if not.
@
@
A S S E S S M E N T
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
59.
_____1.
@
@
A S SE S S M E N T
Estimated Area: 7 ½
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
60.
_____2.
@
@
A S SE S S M E N T
Estimated Area: 14
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
61.
_____3.
@
@
A S SE S S M E N T
Estimated Area: 11
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
Let us tryto find the area of the
following figures.
@
@
D I S C U S S I O N
67.
Estimating Area
Using aGrid
When a figure is drawn on
a grid, we can estimate its
area by counting how
much of the grid it covers.
@
@
D I S C U S S I O N
68.
Since each squareon
the grid usually represents
1 square unit, we just need
to figure out how much of
each square is filled by the
shape.
@
@
D I S C U S S I O N
69.
Steps to EstimateArea
Step 1: Count the squares
Look at the shape and
count how many grid
squares fall into each of
these categories:
@
@
D I S C U S S I O N
70.
• Fully FilledSquares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
71.
• Half FilledSquares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
72.
Step 2: Multiplywith value
Each type of square is worth
a different amount when
estimating area:
• Fully filled → × 1
• More than half filled → × 1
• Half filled → × 0.5
• Less than half → × 0
@
@
D I S C U S S I O N
73.
Step 3: Addthe values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N
74.
@
@
D I SC U S S I O N
Shape
Fully
Filled
More than
Half
Half
Filled
Less
than
Half
Estimate
d Area
Triangle 4 2 3 3 7 1/2
Parallelog
ram
8 5 0 4 13
Trapezoid 9 1 3 2 11 1/2
75.
Directions: Estimate thearea
of the following figures.
@
@
A C T I V I T Y 3
@
@
F O R M AT I V E A S S E S S M E N T
76.
1.
@
@
A C TI V I T Y 3
Solution:
Area: ________
@
@
F O R M AT I V E A S S E S S M E N T
77.
2.
@
@
A C TI V I T Y 3
Solution:
Area: ________
@
@
F O R M AT I V E A S S E S S M E N T
78.
3.
@
@
A C TI V I T Y 3
Solution:
Area: ________
@
@
F O R M AT I V E A S S E S S M E N T
79.
4.
@
@
A C TI V I T Y 3
Solution:
Area: ________
@
@
F O R M AT I V E A S S E S S M E N T
80.
5.
@
@
A C TI V I T Y 3
Solution:
Area: ________
@
@
F O R M AT I V E A S S E S S M E N T
81.
6.
@
@
A C TI V I T Y 3
Solution:
Area: ________
@
@
F O R M AT I V E A S S E S S M E N T
82.
Directions: Draw afigure based
on the given estimated area.
1. Parallelogram
Estimated Area: 15
@
@
A S S E S S M E N T
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
83.
@
@
A S SE S S M E N T
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
84.
2. Triangle
Estimated Area:10
3. Trapezoid
Estimated Area: 9 ½
@
@
A S S E S S M E N T
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
85.
4. Parallelogram
Estimated Area:20 ½
5. Triangle
Estimated Area: 5 ½
@
@
A S S E S S M E N T
@
@
E X T E N D E D L E A R N I N G O P P O R T U N I T I E S
@
@
R E VI E W
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
1
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
P R E - L E S S O N
90.
@
@
R E VI E W
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
2
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
P R E - L E S S O N
91.
@
@
R E VI E W
A
Figure
B
Kind of squares
C
Number of
each kind
of square
D
Total
values of
each kind
of square
E
Estimated Area
(add the values of
each kind square)
3
Fully filled x 1 =
Estimated Area
=
More than half filled x 1 =
Half filled x ½ =
Less than half filled x 0 =
Empty Don’t count
@
@
P R E - L E S S O N
Let us tryto find the area of the
following figures.
@
@
D I S C U S S I O N
94.
Estimating Area
Using aGrid
When a figure is drawn on
a grid, we can estimate its
area by counting how
much of the grid it covers.
@
@
D I S C U S S I O N
95.
Since each squareon
the grid usually represents
1 square unit, we just need
to figure out how much of
each square is filled by the
shape.
@
@
D I S C U S S I O N
96.
Steps to EstimateArea
Step 1: Count the squares
Look at the shape and
count how many grid
squares fall into each of
these categories:
@
@
D I S C U S S I O N
97.
• Fully FilledSquares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
98.
• Half FilledSquares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
99.
Step 2: Multiplywith value
Each type of square is worth
a different amount when
estimating area:
• Fully filled → × 1
• More than half filled → × 1
• Half filled → × 0.5
• Less than half → × 0
@
@
D I S C U S S I O N
100.
Step 3: Addthe values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N