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LESSON PLAN
IN
MATHEMATICS 6
Republic of the Philippines
Department of Education
REGION IX, ZAMBOANGA PENINSULA
SCHOOLS DIVISION OF ZAMBOANGA CITY
SOUTHCOM ELEMENTARY SCHOOL SPED CENTER
Calarian District
LEARNING OBJECTIVES
Content Standard:
• Demonstrates understanding of rate and speed, and of area and surface area of
plane and solid/space figures.
Performance Standard:
• Apply knowledge of speed, area, and surface area of plane and solid/space figures
in mathematical problems and real-life situations.
Learning Competency:
• Finds the area of composite figures formed by any two or more of the following:
triangle, square, rectangle, circle, and semi-circle.
• Code: 6ME-IIIh-89
SUBJECT-MATTER
Title Area of a Composite Figures
Reference SLM: Third Quarter- Week 6; pp. 1-3
Materials PPT, LED TV, laptop
Strategy 4 Pics in a Word, Guessed the Shape, Brainstorming, Classpoint
LEARNING PROCESS
I. Preparation
1. Recall : 4 Pics in a Word
Directions: Guess the word by analyzing the given pictures.
2. Focus : How to find the area of a composite figures formed by any two or more of the
following: triangle, square, rectangle, circle and semi – circle?
February 22, 2022
T I M E D I S T A N C E S P E E D
3. Motivation : Guessed the Shapes
Directions: Tell to the class the name of the different figures that can be
seen in the house
4. APK : Analyze the figure and answer the question that follows:
II. Presentation (4 A’s)
A. Activity
Strategy: Brainstorming
Instructions:
• What do you think is the total area of
the quadrilateral?
• What do you think is the total area of
the triangle?
• What is the total area of the two figures
if combined?
Length = 2 cm
Width = 1 cm
3 m
2 m
B. Analysis – HIGHER ORDER THINKING SKILLS
1. What is the formula for finding the Area of a Square? Rectangle? Triangle?
Circle?
2. What does the symbol π represent?
3. What are the similarities and differences of square and rectangle?
4. What is your sole observation in putting a unit on the result after finding the area?
5. Social and Cultural Integration:
• Why is it important to learn how to find the area?
• How can this help you in determining the area of our house, lot, or cultural
heritage?
6. Integration (Subject-Orientation): In what subject you can use in finding the area
of a figure?
C. Abstraction
Let’s try now to understand a level-up analyzation of combining two composite
figures.
r =2 m
Area of the Rectangle
𝑨𝟏 = l x w
= 12 ft x 7 ft
𝑨𝟏= 84 𝒇𝒕𝟐
Area of the Rectangle
𝑨𝟐 = l x w
= 8 ft x 3 ft.
𝑨𝟐= 24 𝒇𝒕𝟐
Area of the Shaded Figure
𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐
= 84 𝒇𝒕𝟐
- 24 𝒇𝒕𝟐
𝑨𝑭= 60 𝒇𝒕𝟐
60 𝒇𝒕𝟐
= 3.14 x 7 in x 7 in
A = 153.86 𝒊𝒏𝟐
Area of the Rectangle
A = l x w
= 11 in x 3 in
A = 33 𝒊𝒏𝟐
Area of the Shaded Figure
𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐
= 153.86 𝒊𝒏𝟐
- 33 𝒊𝒏𝟐
𝑨𝑭= 120.86 𝒊𝒏𝟐
120.86 𝒊𝒏𝟐
Area of the Triangle
A =
𝟏
𝟐
x b x h
=
𝟏
𝟐
x 6 m x 7 m
A = 21 𝒎𝟐
Area of the Rectangle
A = l x w
= 4 m x 2 m
A = 8 𝒎𝟐
Area of the Shaded Figure
𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐
= 21 𝒎𝟐
- 8 𝒎𝟐
𝑨𝑭= 13 𝒎𝟐
13 𝒎𝟐
D. Application
Directions: Find the area of the following composite figures.
III. Evaluation
Directions: Find the area of the shaded region.
IV. Summary/Reflection
• In summary, what is the importance of learning how to get the area of a space or
figure?
V. Enrichment/Enhancement/Assignment
Look for an object and by using a ruler get the measurement and find its area.
Prepared by:
MR. CRISALDO H. CORDURA
Mathematics 6 Teacher
Date: _______________________________
Observe by:
TERESITA G. MARIWA, MT-I
Mentor
Area of the Rectangle
𝑨𝟏 = l x w
= 20 cm x 15 cm
𝑨𝟏= 300 𝒄𝒎𝟐
Area of the 2 Squares
𝑨𝟐 = 2s x 2s
= 2(2cm) x 2(2 cm)
= 4 cm x 4 cm
𝑨𝟐= 16 𝒄𝒎𝟐
Total Area of the Figure
𝑨𝑭 = 𝑨𝟏 + 𝑨𝟐
= 300 𝒄𝒎𝟐
+ 16 𝒄𝒎𝟐
𝑨𝑭= 316 𝒄𝒎𝟐
316 𝒄𝒎𝟐
WALTER A. MANGASER, MT-I
EPP/TLE/TVL Coordinator

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Sample Lesson Plan: Finding the Area of a Composite Figure

  • 1. LESSON PLAN IN MATHEMATICS 6 Republic of the Philippines Department of Education REGION IX, ZAMBOANGA PENINSULA SCHOOLS DIVISION OF ZAMBOANGA CITY SOUTHCOM ELEMENTARY SCHOOL SPED CENTER Calarian District LEARNING OBJECTIVES Content Standard: • Demonstrates understanding of rate and speed, and of area and surface area of plane and solid/space figures. Performance Standard: • Apply knowledge of speed, area, and surface area of plane and solid/space figures in mathematical problems and real-life situations. Learning Competency: • Finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle. • Code: 6ME-IIIh-89 SUBJECT-MATTER Title Area of a Composite Figures Reference SLM: Third Quarter- Week 6; pp. 1-3 Materials PPT, LED TV, laptop Strategy 4 Pics in a Word, Guessed the Shape, Brainstorming, Classpoint LEARNING PROCESS I. Preparation 1. Recall : 4 Pics in a Word Directions: Guess the word by analyzing the given pictures. 2. Focus : How to find the area of a composite figures formed by any two or more of the following: triangle, square, rectangle, circle and semi – circle? February 22, 2022 T I M E D I S T A N C E S P E E D
  • 2. 3. Motivation : Guessed the Shapes Directions: Tell to the class the name of the different figures that can be seen in the house 4. APK : Analyze the figure and answer the question that follows: II. Presentation (4 A’s) A. Activity Strategy: Brainstorming Instructions: • What do you think is the total area of the quadrilateral? • What do you think is the total area of the triangle? • What is the total area of the two figures if combined? Length = 2 cm Width = 1 cm 3 m 2 m
  • 3. B. Analysis – HIGHER ORDER THINKING SKILLS 1. What is the formula for finding the Area of a Square? Rectangle? Triangle? Circle? 2. What does the symbol π represent? 3. What are the similarities and differences of square and rectangle? 4. What is your sole observation in putting a unit on the result after finding the area? 5. Social and Cultural Integration: • Why is it important to learn how to find the area? • How can this help you in determining the area of our house, lot, or cultural heritage? 6. Integration (Subject-Orientation): In what subject you can use in finding the area of a figure? C. Abstraction Let’s try now to understand a level-up analyzation of combining two composite figures. r =2 m Area of the Rectangle 𝑨𝟏 = l x w = 12 ft x 7 ft 𝑨𝟏= 84 𝒇𝒕𝟐 Area of the Rectangle 𝑨𝟐 = l x w = 8 ft x 3 ft. 𝑨𝟐= 24 𝒇𝒕𝟐 Area of the Shaded Figure 𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐 = 84 𝒇𝒕𝟐 - 24 𝒇𝒕𝟐 𝑨𝑭= 60 𝒇𝒕𝟐 60 𝒇𝒕𝟐 = 3.14 x 7 in x 7 in A = 153.86 𝒊𝒏𝟐 Area of the Rectangle A = l x w = 11 in x 3 in A = 33 𝒊𝒏𝟐 Area of the Shaded Figure 𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐 = 153.86 𝒊𝒏𝟐 - 33 𝒊𝒏𝟐 𝑨𝑭= 120.86 𝒊𝒏𝟐 120.86 𝒊𝒏𝟐 Area of the Triangle A = 𝟏 𝟐 x b x h = 𝟏 𝟐 x 6 m x 7 m A = 21 𝒎𝟐 Area of the Rectangle A = l x w = 4 m x 2 m A = 8 𝒎𝟐 Area of the Shaded Figure 𝑨𝑭 = 𝑨𝟏 - 𝑨𝟐 = 21 𝒎𝟐 - 8 𝒎𝟐 𝑨𝑭= 13 𝒎𝟐 13 𝒎𝟐
  • 4. D. Application Directions: Find the area of the following composite figures. III. Evaluation Directions: Find the area of the shaded region. IV. Summary/Reflection • In summary, what is the importance of learning how to get the area of a space or figure? V. Enrichment/Enhancement/Assignment Look for an object and by using a ruler get the measurement and find its area. Prepared by: MR. CRISALDO H. CORDURA Mathematics 6 Teacher Date: _______________________________ Observe by: TERESITA G. MARIWA, MT-I Mentor Area of the Rectangle 𝑨𝟏 = l x w = 20 cm x 15 cm 𝑨𝟏= 300 𝒄𝒎𝟐 Area of the 2 Squares 𝑨𝟐 = 2s x 2s = 2(2cm) x 2(2 cm) = 4 cm x 4 cm 𝑨𝟐= 16 𝒄𝒎𝟐 Total Area of the Figure 𝑨𝑭 = 𝑨𝟏 + 𝑨𝟐 = 300 𝒄𝒎𝟐 + 16 𝒄𝒎𝟐 𝑨𝑭= 316 𝒄𝒎𝟐 316 𝒄𝒎𝟐
  • 5. WALTER A. MANGASER, MT-I EPP/TLE/TVL Coordinator