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MATHEMATICS 5
TERM 1 WEEK 8
DAY 1
Directions: Find the areas of the
following figures.
@
@
R E V I E W
@
@
P R E - L E S S O N
1. 2.
@
@
R E V I E W
Area: ________ Area:________
@
@
P R E - L E S S O N
3. 4.
@
@
R E V I E W
Area: ________ Area:________
@
@
P R E - L E S S O N
5. 6.
@
@
R E V I E W
Area: ________ Area:________
@
@
P R E - L E S S O N
Check if the following
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
[ ] Fully filled
[ ] 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
[ ] Fully filled
[ ] 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
[ ] Fully filled
[ ] 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
[ ] Fully filled
[ ] 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
[ ] Fully filled
[ ] 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
[ ] Fully filled
[ ] 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
[ ] Fully filled
[ ] 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
[ ] Fully filled
[ ] 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
ESTIMATING AREAS
OF PARALLELOGRAM,
TRIANGLE, AND
TRAPEZOID
Let us try to find the area of the
following figures.
@
@
D I S C U S S I O N
Estimating Area
Using a Grid
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
Since each square on
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
Steps to Estimate Area
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
• Fully Filled Squares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
• Half Filled Squares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
Step 2: Multiply with 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
Step 3: Add the values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N
@
@
D I S C 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
Directions: Find the areas 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
@
@
A C T I 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
@
@
A C T I 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
@
@
A C T I 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
Directions: Find the areas 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
@
@
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
@
@
A S S E 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
@
@
A S S E 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
@
@
A S S E 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
@
@
A S S E 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
@
@
A S S E 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
MATHEMATICS 5
TERM 1 WEEK 8
DAY 2
Directions: Estimate the areas
of the following figures.
@
@
R E V I E W
@
@
P R E - L E S S O N
1.
@
@
R E V I E W
@
@
P R E - L E S S O N
2.
@
@
R E V I E W
@
@
P R E - L E S S O N
3.
@
@
R E V I E W
@
@
P R E - L E S S O N
ESTIMATING AREAS
OF PARALLELOGRAM,
TRIANGLE, AND
TRAPEZOID
Let us try to find the area of the
following figures.
@
@
D I S C U S S I O N
Estimating Area
Using a Grid
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
Since each square on
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
Steps to Estimate Area
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
• Fully Filled Squares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
• Half Filled Squares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
Step 2: Multiply with 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
Step 3: Add the values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N
@
@
D I S C 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
Directions: Find the estimated
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
1.
Estimated Area: ___________
@
@
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
2.
Estimated Area: ___________
@
@
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
3.
Estimated Area: ___________
@
@
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
4.
Estimated Area: ___________
@
@
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
5.
Estimated Area: ___________
@
@
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
6.
Estimated Area: ___________
@
@
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 TRUE if 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
_____1.
@
@
A S S E 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
_____2.
@
@
A S S E 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
_____3.
@
@
A S S E 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
MATHEMATICS 5
TERM 1 WEEK 8
DAY 3
Directions: Estimate the areas
of the following figures.
@
@
R E V I E W
@
@
P R E - L E S S O N
@
@
R E V I E W
@
@
P R E - L E S S O N
ESTIMATING AREAS
OF PARALLELOGRAM,
TRIANGLE, AND
TRAPEZOID
Let us try to find the area of the
following figures.
@
@
D I S C U S S I O N
Estimating Area
Using a Grid
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
Since each square on
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
Steps to Estimate Area
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
• Fully Filled Squares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
• Half Filled Squares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
Step 2: Multiply with 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
Step 3: Add the values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N
@
@
D I S C 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
Directions: Estimate the area
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
1.
@
@
A C T I 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
2.
@
@
A C T I 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
3.
@
@
A C T I 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
4.
@
@
A C T I 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
5.
@
@
A C T I 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
6.
@
@
A C T I 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
Directions: Draw a figure 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
@
@
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
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
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
MATHEMATICS 5
TERM 1 WEEK 8
DAY 4
Directions: Estimate the areas
of the following figures using
the table.
@
@
R E V I E W
@
@
P R E - L E S S O N
@
@
R E V I E W
@
@
P R E - L E S S O N
@
@
R E V I 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
@
@
R E V I 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
@
@
R E V I 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
ESTIMATING AREAS
OF PARALLELOGRAM,
TRIANGLE, AND
TRAPEZOID
Let us try to find the area of the
following figures.
@
@
D I S C U S S I O N
Estimating Area
Using a Grid
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
Since each square on
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
Steps to Estimate Area
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
• Fully Filled Squares –
Completely inside the
shape
• More than Half Filled
Squares – Mostly inside
the shape
@
@
D I S C U S S I O N
• Half Filled Squares –
About half inside
• Less than Half Filled
Squares – Barely inside
@
@
D I S C U S S I O N
Step 2: Multiply with 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
Step 3: Add the values
Now, add all the values from
the multiplication to get the
estimated area.
@
@
D I S C U S S I O N