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Solving Corresponding Parts of Congruent Triangles: A Lesson Plan for Mathematics 8, Papers of Mathematics

University of Southeastern Philippines (USEP)Mathematics

This will be served as your guide.

Typology: Papers

2021/2022

Uploaded on 05/29/2022

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Republic of the Philippines
DEPARTMENT OF EDUCATION
Region XI
DIVISION OF DAVAO CITY
Davao City
DAVAO CITY NATIONAL HIGH SCHOOL
F. Torres St., Davao City
Telefax No. (082) 227 9102
LESSON PLAN
MATHEMATICS 8
Date: March 10, 2022
I. COMPETENCY:
Solves corresponding parts of congruent triangles (M8GE-IIIf-1)
II. OBJECTIVES: At the end of the lesson, the students are expected to:
1. identify corresponding parts of congruent triangles;
2. find the measure of corresponding parts of congruent triangles; and
3. relate triangle congruence to real life situations.
III. SUBJECT MATTER:
A. Topic – Solving corresponding parts of congruent triangles
B. References: Mathematics 8 Quarter 3: Module 4
C. Materials: Laptop, Self-Learning Module, PowerPoint, Google Meet, WiFi,
sticks, protractor, ruler, paper, and art paper.
IV. PRELIMINARIES
1. Prayer
2. Checking of Attendance
3. Classroom Rules
V. LESSON PROPER
1. Activity/Motivation
The teacher will give an activity for the students.
Congruence
Statement
Corresponding Angles
Corresponding Sides
∆CAT ≅ ∆NEL
∠C ≅ ∠N
∠A ≅ ∠E
∠T ≅ ∠L
𝐶𝐴
≅ 𝑁𝐸
𝐴𝑇
≅ 𝐸𝐿
𝐶𝑇
≅ 𝑁𝐿
∆DSL ≅ ∆FMR
∠L ≅ ∠B
∠O ≅ ∠A
∠W ≅ ∠T
𝐾𝑅
≅ 𝑃𝐶
𝑅𝐵
≅ 𝐶𝑀
𝐾𝐵
≅ 𝑃𝑀
pf3
pf4
pf5

Partial preview of the text

Download Solving Corresponding Parts of Congruent Triangles: A Lesson Plan for Mathematics 8 and more Papers Mathematics in PDF only on Docsity!

Republic of the Philippines DEPARTMENT OF EDUCATION Region XI

DIVISION OF DAVAO CITY

Davao City

DAVAO CITY NATIONAL HIGH SCHOOL

F. Torres St., Davao City Telefax No. (082) 227 9102 LESSON PLAN MATHEMATICS 8 Date: March 10 , 2022 I. COMPETENCY: Solves corresponding parts of congruent triangles (M8GE-IIIf-1) II. OBJECTIVES: At the end of the lesson, the students are expected to:

  1. identify corresponding parts of congruent triangles;
  2. find the measure of corresponding parts of congruent triangles; and
  3. relate triangle congruence to real life situations. III. SUBJECT MATTER: A. Topic – Solving corresponding parts of congruent triangles B. References: Mathematics 8 Quarter 3: Module 4 C. Materials: Laptop, Self-Learning Module, PowerPoint, Google Meet, WiFi, sticks, protractor, ruler, paper, and art paper. IV. PRELIMINARIES
  4. Prayer
  5. Checking of Attendance
  6. Classroom Rules V. LESSON PROPER
  7. Activity/Motivation The teacher will give an activity for the students. Congruence Statement Corresponding Angles Corresponding Sides ∆CAT ≅ ∆NEL ∠C ≅ ∠N ∠A ≅ ∠E ∠T ≅ ∠L 𝐶𝐴 ̅̅̅̅̅ ≅ 𝑁𝐸̅̅̅̅ 𝐴𝑇 ̅̅̅̅̅ ≅ 𝐸𝐿̅̅̅̅ 𝐶𝑇 ̅̅̅̅̅ ≅ 𝑁𝐿̅̅̅̅ ∆DSL ≅ ∆FMR ∠L ≅ ∠B ∠O ≅ ∠A ∠W ≅ ∠T 𝐾𝑅 ̅̅̅̅̅ ≅ 𝑃𝐶̅̅̅̅ 𝑅𝐵 ̅̅̅̅̅ ≅ 𝐶𝑀̅̅̅̅̅ 𝐾𝐵 ̅̅̅̅̅ ≅ 𝑃𝑀̅̅̅̅̅
  1. Analysis
    1. Did you find difficulty in answering the activity above?
    2. Were you able to determine the corresponding angles and corresponding sides given the triangle congruence statement?
    3. How did you write the triangle congruence statement given the corresponding angles and corresponding sides?
  2. Abstraction Observe the pictures below. What have you observed? Considered as the most stable of all geometric figures, triangles. Triangles play a vital role in a structure’s stability. Congruent triangles, in particular, are used in architectural and engineering design to make structures strong and stable. The figure at the right is a truss. It is a triangulated system where straight structural elements such as beams, bars or rods are interconnected. It is a strong frame that supports a building or a bridge. Suppose we are going to assign points on the truss as shown below. 1. List down all possible pairs of triangles that appear to be congruent. What was your basis in choosing those pairs of triangles?
  3. Consider the two triangles ∆NIM and ∆ZER to be congruent. We have the following 6 pairs of corresponding parts:

∠N ≅ ∠Z ⟶ If ∠ N = 28°, then ∠Z = _______.

∠I ≅ ∠E ⟶ If ∠ I = 92°, then ∠E = _______.

∠M ≅ ∠R ⟶ If ∠ M = 60°, then ∠R = _______.

𝑁𝐼̅̅̅̅ ≅ 𝑍𝐸̅̅̅̅ ⟶ If NI = 4 ft, then ZE = _______.

N

I

M

Z

R

E

L

Solution: Since 𝐴𝐵̅̅̅̅ ≅ 𝐴𝐷̅̅̅̅ , 3y = 18 Definition of Congruent Segments ( 1 3 )3y=( 1 3 ) 18 Multiply ( 1 3 ) ; Multiplication Property of Equality y=6 Result

  1. Application Teacher will give an activity that will enrich their knowledge about the concept. Directions: Create your own word problem in real life about solving corresponding parts of congruent triangles. Use the given objects as your bases in creating the word problem. Show the process in solving in a separate sheet of paper. Real Life Application Own Word Problem Solution Satellite Tower Umbrella
  1. Generalization Corresponding Parts of Congruent Triangles are Congruent. Corresponding Angles In a pair of similar triangles, the corresponding angles are the angles with the same measure. Corresponding Sides In a pair of similar triangles, the corresponding sides are the sides with the same measure. If the corresponding sides are congruent and corresponding angles are congruent, then the two triangles are congruent. The sum measure of the interior angles of a triangle is 𝟏𝟖𝟎°. VI. EVALUATION/ASSIGNMENT Students will proceed to the quizizz.com for the evaluation. Prepared by: PAUL KENNETH A. PENUELA Pre-Service Teacher, BSEd Math IV Checked by: JOCELYN GONZALES Cooperating Teacher