This document contains a three-day lesson plan for a Grade 6 mathematics class on finding the area of composite figures. Day 1 introduces finding the area of solid figures and has students make examples. Day 2 covers finding the area of composite figures by separating them into simpler shapes and adding the areas. Examples of composite figures are shown. Day 3 reviews solving word problems using the basic steps and has students practice finding the area of composite figures in exercises and word problems. The goal is for students to be able to solve routine and non-routine area problems involving composite figures.

1. Republic of the Philippines
Department of Education
Region VII, Central Visayas
Division of Bohol
City of Tagbilaran
LESSON PLAN IN MATHEMATICS
GRADE: 6 QUARTER: 3 WEEK: 6 DAY: 1
COMPETENCY &
OBJECTIVES
:
Find the area of composite figures formed by any two or more of the following:
triangle, square, rectangle, circle, and semi-circle (M6ME-IIIh-89)
Solves routine and non-routine problems involving area of composite figures
formed by any two or more of the following: triangle, square, rectangle,
circle, and semi-circle. (M6ME-IIIh-90)
CONTENT
:
Find the area of solid figures formed by any two or more of the following:
triangle, square, rectangle, circle, and semi-circle
LEARNING
RESOURCES
:
MELC Guide in Math 6, page 223
21st Century MATHletes 6 by Marjoseph H. Perez, Donnel P. Placer, Jaime R.
Burgos and Arsenio S. Dimaranan pp. 83-84
Lesson Guide in Mathematics Grade 6 Ateneo de Manila University 2010 pages
388-391
Q3 Self Learning Module/Learning Activity Sheets Week 6
Activity sheets
Flashcards
PROCEDURE : A.Preparation
Drill: Identify the following figures
Review:
Give examples of real objects that are models of spatial figures.
B.Motivation
1. Group the pupils into Learning Barkadas.
2. Provide each group a pieces of used folders, pair of scissors, and paste.
3. Let them make some spatial figures out of these materials;
4. The first to make 3 will be declared winner.
C. Presentation
Present the lesson through this activity:
a. Call the winners:
1. Let them show their finished products to the class.
2. Have them describe each and identify its part.
b. Call the second placer:
1. Let them show the spatial figures they made that are different from the
first group.

2. Area of a Rectangle
The area of a rectangle is the product of the length (l) and the width (w).
A= or ( l x w)
w
l
2. Have them describe each and identify its part.
c. Do the same with the other group.
D.Discussion/Abstraction
To find the area, let us know first what is area.
Area is the number of square units needed to cover the surface of
the plane figure.
A polygon and its interior form a plane region. We can
find the area of the rectangular figure or rectangle by filling it in with
square units. The illustration below shows two units, square inch and a
square centimetre.
Square inch Square centimeter
1 cm
1 in
Example 1: What is the area of this figure below?
5 cm
4 cm
We have a rectangular array. Since the region is filled with 20 square
centimetres, its area is 20 centimetres (sq.cm), or 20 cm2
. The number of
square units is 5 x 4 = 20
l
Example 2: Find the area of a rectangle that has a dimension of 8
meters by 3 meters.
Solution:
8 m
A= 𝑙 . 𝑤
= 8 m . 3 m
A= 24 m2
(Continue discussing What Is It in the SLM Lesson 1)
E. Exercises
1: Find the area of a square with sides 12 cm.
3 m
We think of m . m as m2
and denote it as m2
. Thus,
we read “ 24 m2
” as “ 24 square meters.”

3. Solution;
A = s . s
2: Find the area of a square with sides 4 cm.
Solution;
A = s . s
Note: The teacher may provide additional exercises as needed
F. Generalization
How to find the area of solid figures?
G. Application
1. Find the area of the triangle at the right.
A =
1
2
𝑥 𝑏 𝑥 ℎ
H. Evaluation
Find the area of the following figures.
1. What is the area of this square?-
8cm `
8cm
2. What is the area of a rectangle that has a dimension of 10 meters by 4
meters?
10 m
4 m 4m
3. Find the area of a triangle.
4. Find the area of the circle at the right. Use 𝜋 = 3.14
I. Agreement/Assignment
Construct each spatial figure using art paper.
1.) blue pyramid
2.) black cone
3.) yellow cube
12 cm
12 cm
4 cm
4 cm
3 cm
8 cm
9cm
20 cm
5 m

4. 4.) green rectangular prism
5.) red cylinder
6.) violet sphere

5. Republic of the Philippines
Department of Education
Region VII, Central Visayas
Division of Bohol
City of Tagbilaran
LESSON PLAN IN MATHEMATICS
GRADE: 6 QUARTER: 3 WEEK: 6 DAY: 2
COMPETENCY
&
OBJECTIVES :
Finds the area of composite figures formed by any two or more of the following:
triangle, square, rectangle, circle, and semi-circle (M6ME-IIIh-89)
Solves routine and non-routine problems involving area of composite figures formed by
any two or more of the following: triangle, square, rectangle, circle, and semi-circle.
(M6ME-IIIh-90)
CONTENT
:
Find the area of composite figures formed by any two or more of the following: triangle,
square, rectangle, circle, and semi-circle.
LEARNING
RESOURCES
:
MELC Guide in Math 6, page 223
21st Century MATHletes 6 by Marjoseph H. Perez, Donnel P. Placer, Jaime R. Burgos
and Arsenio S. Dimaranan pp. 83-84
Lesson Guide in Mathematics Grade 6 Ateneo de Manila University 2010 pages 388-
391
Q3 Self Learning Module/Learning Activity Sheets Week 6
Activity sheets
Flashcards
PROCEDURE
:
A. Preparation
Drill: Group Activity!
Find the area of the ff. figures
B. Motivation
Aldrin works for a company that remodels kitchens. In one kitchen he builds the
rectangular island shown below. What is the size of the granite tiles that he needs to
cover its countertop?
To find the size of the granite tiles, we need to find the area of the rectangle.
2.5 feet
6 feet

6. Area=Lxw
=6ft. x 2.5 ft
Area= 15 sq.ft.
C. Presentation
Find the area of the composite figure.
The composite figure contains 2 triangles and 1 square. We need to find the area of
each region.
Area of 1 triangle:
A = ½ bh
A = ½ (7)(4)
A = ½ (28)
A = 14 yds2
Area of square:
A = lw = 7(7) = 49 yd2
Total area of figure: Add up areas of 2 triangles and square:
A = 2(14) + 49
= 28 + 49 = 77 yd2
.
D. Discussion/Abstraction
A composite figure is formed from two or more figures.
To find the area of a composite figure:
Find the areas of each figure then add them up.
To find the area of a shaded region, you need to subtract the areas.
Example 1: Find the area of each shaded region. Assume that all angles that appear to
be right angles are right angles.
A.
We can separate the figures into two: a triangle and a square. Now, let us find the
area of each figure.
Solution:
Area of the triangle Area of the square
A=
1
2
𝑥 𝑏 𝑥 ℎ 6cm A= S . S
=
1
2
𝑥 7 𝑐𝑚 𝑥 6 𝑐𝑚 = 7 cm x 7 cm
=
1
2
𝑥 42 𝑐𝑚2
A= 49 cm2
A = 21 cm2
We can see that the area of
21cm + =
6 cm
7 cm
7 cm
21c
m
49 cm2
70 cm2
21

7. +
Therefore, the area of the composite figure is 70 cm2
.
● Find the area of the shaded region if the area of the square is 64 ft2
.
We are given the area of the square, we need to find the area of the circle.
What is its radius?
Ans:
We are given the area of the square, we need to find the area of the circle.
What is its radius?
Diameter = Length of square = = 8 ft.
Radius = ½ (8) = 4 ft.
Area of circle:
A = r2
A = (4)2
= 16 ft2
.
Area of shaded region =
Area of square – Area of circle
A = 64 - 16 ft2
.
(Continue discussing What Is It in the SLM Lesson 2)
E. Exercises
Group Activity:
Note: The teacher may provide additional exercises as needed
F. Generalization
How do we find the area of composite figures?
To find the area of a composite figure, separate thefigure into
simpler shapes whose area can be found. Then add the areas together. Be sure than
none of the simpler figures have overlapping areas. Example 1: Find the area of
the composite shape shown below.
G. Application
Pair-share:

8. H. Evaluation
Direction: Find the area of each shaded region. Assume that all angles that
appear to be right angles are right angles.
1.
2.
8m
I. Agreement/Assignment
Answer Math Challenge
3 cm
4 cm
2 m
6 m
12m

9. Republic of the Philippines
Department of Education
Region VII, Central Visayas
Division of Bohol
City of Tagbilaran
LESSON PLAN IN MATHEMATICS
GRADE: 6 QUARTER: 3 WEEK: 6 DAY: 3
COMPETENCY &
OBJECTIVES
:
Finds the area of composite figures formed by any two or more of the
following: triangle, square, rectangle, circle, and semi-circle (M6ME-IIIh-
89)
Solves routine and non-routine problems involving area of composite figures
formed by any two or more of the following: triangle, square, rectangle,
circle, and semi-circle. (M6ME-IIIh-90)
CONTENT
:
Solve routine and non-routine problems involving area of composite figures
formed by any two or more of the following: triangle, square, rectangle,
circle, and semi-circle
LEARNING
RESOURCES
:
MELC Guide in Math 6, page 223
21st Century MATHletes 6 by Marjoseph H. Perez, Donnel P. Placer, Jaime R.
Burgos and Arsenio S. Dimaranan pp. 83-84
Lesson Guide in Mathematics Grade 6 Ateneo de Manila University 2010
pages 388-391
Q3 Self Learning Module/Learning Activity Sheets Week 6
Activity sheets
Flashcards
PROCEDURE : A. Preparation
Drill:
Warm Up
1. What is the area of a rectangle with length 10 cm and width 4 cm?
2. What is the area of a parallelogram with base 18 ft and height 12 ft?
3. What is the area of a triangle with base 16 cm and height 8 cm?
B. Motivation
What is the area of the region?
We have a rectangular array. Since the region is filled w/ 20sq.cm, its area is
20sq.cm. the number of units is 5 x 4 =20
C. Presentation
Let them watch the video of “Composite figures, Finding the Area”.
D. Discussion/Abstraction
In solving problems, follow the basic steps in solving a problem:
To analyze and solve word problem, you can do the steps.

10. 1. Understand:
▪ Know what is asked in the problem. A
▪ Identify what are the given facts G
2. Plan:
▪ Determine the operation to be used O
▪ Write the number sentence N
3. Solve. Show your solution. S
4. Check if your answer is correct. A
State the complete answer.
Discuss Example no. 5 on page 193-195. 21st
Century Mathletes 6
(Continue discussing What Is It in the SLM Lesson 3)
E. Exercises
1. Father wants to paint the façade of the house. He needs to find out
the area so that he would know the amount of point to buy. The side of
the square is 12 meters and the height of the triangle is 13 meters.
What is the area of the façade of the house? What figures are used in
the structure?
Note: The teacher may provide additional exercises as needed
F. Generalization
How do you solve routine and non-routine problems involving area of
composite figures formed by any two or more of the following: triangle,
square, rectangle, circle, and semi-circle?
G. Application
Group Activity:
1. How much material is required to make a circular skirt if the waist hole
has a circumference of 60.5 cm. and the diameter of the circular skirt is
12.5cm?
H. Evaluation
Direction: Read the problem and do what is asked.
1. Mateo works for a company that remodels kitchens. In one kitchen, he
builds the rectangular island shown below. What is the size of the
granite tiles that he needs to cover its countertop?
A. Asked:
B. Given:
C. Operation:
D. Number Sentence:
E. Solution :
F. Answer:
I. Agreement/Assignment
Solve each problem.
(21st
Century Mathletes textbook, page 270)
6 feet
2 feet

11. Republic of the Philippines
Department of Education
Region VII, Central Visayas
Division of Bohol
City of Tagbilaran
LESSON PLAN IN MATHEMATICS
GRADE: 6 QUARTER: 3 WEEK: 6 DAY: 4
COMPETENCY &
OBJECTIVES
:
Finds the area of composite figures formed by any two or more of the
following: triangle, square, rectangle, circle, and semi-circle (M6ME-IIIh-
89)
Solves routine and non-routine problems involving area of composite figures
formed by any two or more of the following: triangle, square, rectangle,
circle, and semi-circle. (M6ME-IIIh-90)
CONTENT
:
Solve routine and non-routine problems involving area of composite figures
formed by any two or more of the following: triangle, square, rectangle, circle,
and semi-circle.
LEARNING
RESOURCES
:
MELC Guide in Math 6, page 223
21st Century MATHletes 6 by Marjoseph H. Perez, Donnel P. Placer, Jaime R.
Burgos and Arsenio S. Dimaranan pp. 83-84
Lesson Guide in Mathematics Grade 6 Ateneo de Manila University 2010 pages
388-391
Q2 Self Learning Module/Learning Activity Sheets Week 1
Activity sheets
PROCEDURE : A. Preparation
Review Draw the given figure with its dimension. Write the formula in finding
its area then solve:
1) a rectangle whose length is 15 cm and its width is 10 cm
2) a square whose side is 3.5 m
3) a circle whose radius is 5.2 dm
4) a trapezoid whose bases are 15 in and 12 in. Its height is 17 in.
5) a parallelogram whose base is 20 cm and the height is 25.5 cm.
B. Motivation
Most of the outdoor basketball court was already repainted green. The only part
left to redo was the brown key. The painters need to know the total area of the
space remaining in order to buy enough paint.
C. Presentation
Given the dimensions shown below, what area should the workers use to
calculate their supplies?

12. First, find the area of the rectangle.
The area of the rectangle is 192 square feet.
Next, recognize that you have been given a diameter and need to divide that by
2 to get the radius. The problem states that the diameter of the circle is the same
as the width of the rectangle, 3 feet.
The area for a full circle is approximately 113 square feet.
Then, remember that you have a semi-circle and divide this area by 2.
The area of the semi-circle is 56.5 square feet.
Add the two areas together.
The workers will need to by enough paint to cover 248.5 sq. ft.
D. Discussion/Abstraction
Find the area of each combined figure.
A rectangle and a semi-circle. The rectangle has a length of 9 inches and a
width of 4.5 inches. The diameter of the circle matches the length.
A rectangle and a semi-circle. The rectangle has a length of 7 feet and a width
of 4 feet. The diameter of the circle matches the length.
A rectangle and a semi-circle. The rectangle has a length of 5.5 feet and a width
of 3.5 feet. The diameter of the circle matches the width.
Ans:
72.29 sq. in.
. 47.23 sq. ft. 3
. 24.06 sq. ft.
Show a video of “Area of Composite Shapes:
H.Exercises
Solve the problem.
1. The grade six boys have a garden in the shape of a trapezoid. One
side is 20 m wide while the other side is 18 m long. The distance
between the sides is 25 m. What is the area of the garden?
Note: The teacher may provide additional exercises as needed
I. Generalization
How do you solve routine and non-routine problems involving area of
composite figures formed by any two or more of the following: triangle, square,
rectangle, circle, and semi-circle?
J. Application

13. Pair-share:
Find the area of each combined figure.
1.A triangle and a semi-circle. The triangle has a base of 5 inches and a height
of 4 inches. The diameter of the circle matches the base of the triangle.
2.A triangle and a semi-circle. The triangle has a base of 7 inches and a height
of 6 inches. The diameter of the circle matches the base of the triangle.
3.A triangle and a semi-circle. The triangle has a base of 5.5 inches and a height
of 4 inches. The diameter of the circle matches the base of the triangle.
Ans:
1. 19.81 sq. in
2. 40.23 sq. in.
3. 22.87 sq. in
H. Evaluation
Find the area of each combined figure.
1..A square and a semi-circle. The square has a side length of 13 feet. The
diameter of the circle matches the square’s side.
2..A square and a semi-circle. The square has a side length of 15.5 feet. The
diameter of the circle matches the square’s side.
3.A rectangle and a semi-circle. The rectangle has a length of 8 feet and a width
of 5 feet. The diameter of the circle matches the width.
4.A rectangle and a semi-circle. The rectangle has a length of 8.5 feet and a
width of 6 feet. The diameter of the circle matches the width.
Ans.:
1. 235.33 sq. ft.
2. 334.55 sq. ft. 3
3. 49.81 sq. ft. 4
4. 65.13 sq. ft.
I. Agreement/Assignment
Solve each problem.
(refer to 21st
Century Mathletes textbook, page 270)

14. Republic of the Philippines
Department of Education
Region VII, Central Visayas
Division of Bohol
City of Tagbilaran
LESSON PLAN IN MATHEMATICS
GRADE: 6 QUARTER: 3 WEEK: 6 DAY: 5
COMPETENCY &
OBJECTIVES
:
Finds the area of composite figures formed by any two or more of the
following: triangle, square, rectangle, circle, and semi-circle (M6ME-IIIh-
89)
Solves routine and non-routine problems involving area of composite figures
formed by any two or more of the following: triangle, square, rectangle,
circle, and semi-circle. (M6ME-IIIh-90)
CONTENT : Assessment / Weekly Test / Performance Task
LEARNING
RESOURCES
:
Activity sheets/ test papers
Pad paper / activity notebooks / Summative notebooks / pens
PROCEDURE : A. Preparation
1. Checking of assignment
2. Brief review of the lessons
B. Motivation
Let the pupils prepare the things to be used for the test/activity .
C. Presentation
Distribution of the test papers/activity sheets
D. Discussion/Abstraction
Set rules for the pupils to follow in taking the test/doing the activity.
Explain to the class the directions of the test/activity.
E. Test Proper/Activity Proper
Answering the test/ Monitoring the pupils in doing the activity.
G. Checking of the answer/ Checking the activity.

15. The pupils check the paper /activity with the guidance of the
teacher
H. Evaluation
No. of test items:
No of cases:
Total score:
Mean:
Mean Percentage Score:
Highest score obtained:
Lowest score obtained:
No. of pupils meeting
criterion
Out of __ pupils, __ got a 75% proficiency level on the given test/activity.
I. Agreement/Assignment
Republic of the Philippines
Department of Education
Region VII, Central Visayas
Division of Bohol
City of Tagbilaran
LESSON PLAN IN MATHEMATICS
GRADE: 6 QUARTER: 3 WEEK: 6 DAY: 5
Administering Third Summative Test