A Detailed Lesson Plan in Mathematics-M. Bucad PDF

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Summary

A Detailed Lesson Plan in MathematicsMost Essential Learning Competency: Illustrates theorems on triangle inequalities (Exterior Angle Theorem, Triangle Inequality Theorem, Hinge Theorem) M8GE-IVa- I. Learning Objectives At the end of the session, the learners are expected to: A. determine the relat...

Description

A Detailed Lesson Plan in Mathematics Most Essential Learning Competency: Illustrates theorems on triangle inequalities (Exterior Angle Theorem, Triangle Inequality Theorem, Hinge Theorem) M8GE-IVa-1 I. Learning Objectives At the end of the session, the learners are expected to: A. determine the relationship of the sides of a triangle; B. illustrate triangle Inequality: Triangle Inequality Theorem; and C. recognize the importance of triangle inequality theorem in solving real-life problem. II. Learning Content A. Subject Matter: Illustrating Triangle Inequality: Triangle Inequality Theorem B. Pre-requisite Skills: Identifying and Naming the parts of a triangle Basic Skills on the Four Fundamental Operations and Relationship Symbols C. References: Learning Activity Sheet in Mathematics 8, Quarter 4 pages 9-12 Geogebra Suite: https://www.geogebra.org/m/zc3fyv5c https://www.geogebra.org/m/JT5UmZ8w D. Materials: Slideshow presentation with illustrations and paragraphs, Audio background, pictures, Match Sticks, Tape, Paper, Pen, Straight-edge/ruler, Illustrations of triangles with labels and measurements E. Values to be developed: Self-esteem, Independence and Enthusiasm III.

Procedure

Teacher’s Tasks A. Preparation a. Prayer The student who is sitting in 90ᵒ on the sitting arrangement on the left front portion of the room will be the one to lead the prayer.

Learners’ Tasks

In the name of the Father and of the Son, and of the Holy Spirit, Amen. Dear Father in heaven, we are here before Thee. Help us to study well. Help us to be obedient and honest. Help us to love one another. Bless our teacher, bless our school, bless our country, and bring us all to heaven, Amen.

b. Greetings Good day class! I am glad to Good Morning ma’am! see you in this New Episode of Learning Mathematics 8. Teacher Nhics is here to be your facilitator and best buddy in learning wonderful Math ideas, concepts and applications. Find your most convenient place, prepare your paper and pen and let us learn together. Please

observe the classroom etiquette throughout the session. If you have questions or suggestions raise your hand for you to be recognized. In the early stage of your Math Journey you have learned about polygons. What do you call the polygon with three sides? The polygon with three sides is called triangle. You got it right! Why do you think bridges and buildings are build using triangles?” “Today you will discover and understand the Triangle Inequality theorem. Here are our learning targets: a) determine the relationship among the sides of a triangle; b) illustrate triangle Inequality: Triangle Inequality Theorem; and c) recognize the importance of triangle inequality theorem in solving reallife problem. B. Motivation (Extrinsic Motivation) Let’s have first a review on parts of a triangle. Let us identify the parts of ⊿ BET.

What are the parts of a triangle?

Exactly! You are on the right track! Can you name the sides of ⊿ BET? Absolutely correct!

“The parts of a triangle are angles and sides. Specifically, there are three sides angles and three sides” 𝐸𝑇,and The three sides of ⊿ BET are namely 𝐵𝐸,  . 𝑇𝐵

How do we represent the lengths of the sides of this triangle?

You are absolutely correct! I’m glad that you have a prior knowledge about triangle and skills needed to achieve the objectives for today’s discussion. C. Activity Let us discover the Triangle Inequality Theorem by an activity entitled: Mind Puzzling Legos. The materials that you need for this activity are paper, pen and ruler. Are you ready? Consider the triangle and the three lego parts: a, b and c. Procedure: 1. Draw Lego a which measures 30 cm. 2. Draw a joint Lego b and Lego c, measuring 40 cm and 50 cm respectively. Joint legos should look like a straight line. 3. Using the same lego lengths, draw lego B. 4. Draw a joint Lego a and Lego c. Joint legos should look like a straight line. 5. Using the same lego lengths, draw lego c. 6. Draw a joint Lego a and Lego b. Joint legos should look like a straight line. D. Discussion Let us complete this table to record our measurements.

In representing the lengths of the sides, we can use a small letter of the angle to its opposite side. For example,  𝐵𝐸 can be represented by small letter t.

Guide Questions: 1. What is the sum of the lengths of lego b & c? 2. Which is longer, Lego a or the sum of the lengths of lego b & c? 3. What is the sum of the lengths of lego a & c? Which is longer, Lego B or the sum of the lengths of lego a & c? 4. What is the sum of the lengths of lego a & b? 5. Which is longer, Lego C or the sum of the lengths of lego a & b? After completing the table, compare the data from the first column to the data from the third column of the table. What do you think the Triangle Inequality Triangle Inequality Theorem tells us that the sum Theorem tells us? of any two sides of a triangle is greater than the third side. Great! That was the exact answer. I am glad that you are learning math easily. So, Triangle Inequality Theorem tells us that the sum of any two sides of a triangle is greater than the third side.

Does your conclusion apply for other Yes. Trying out different lengths of sides of a triangle which satisfy the Triangle Inequality triangles? Theorem will form a triangle. However, having three different lengths of a side which is contrary to the theorem will not form a triangle. It could form a triangle but with an eccess length of triagle and two endpoints may not meet or it will remain as an open figure.

Give a triangle with different lengths to test “ The given lengths of a triangle are 5, 6, and 8 your conclusion. will satisfy the Triangle Inequality Theorem because 5+6=11>8 5+8=13>6 6+8=14>5 And the illusatration of these length into form of a triangle is

using a geogebra software. On the other hand, lengths of a triangle such as 1, 2,and 3 will not form a triangle given that this lengths will not satisfy the Triangle Inequality Theorem because 1+2=3=3 1+3=4...