Lesson plan in geometry (relationships of angles)

Lesson plan in geometry (relationships of angles)

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  Lesson Plan inGeometry Prepared By: Merry Joy B. Ordinario I. Objectives At the end of the lesson, the students are expected to: 1. Define the following terms i. Complementary angles ii. Supplementary angles iii. Adjacent angles iv. Vertical angles v. Linear pair 2. Identify the relationships of angles II. Learning Task A. Topic: Relationships of Angles B. Mathematical Concept In geometry, like any other branches of Mathematics, there are some problems where the relationship of angles is significant. C. Mathematical Process Skills 1. Solving Skills 2. Critical Thinking D. Value Focus 1. Patience 2. Cooperation III. Instructional Materials A. Visual Aids 1. Cartolina 2. Marker 3. Chalk B. Reference Fundamentals of Mathematics 1 by Arellano, et.al pp. 110 – 111 High School Subject for Self Study Volume 3 by Murray pp. 1020-1022
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  IV. Lesson Proper Teachers’Activity Students’ Activity I. Prayer II. Introduction Good morning class. III. Motivation Hep Hep Horray (Angle Version) Mechanics: The teacher points out one student at a time to act the kind of angle (right, acute, and obtuse angle) the teacher says. Failure to do the act will result to elimination. Game ends when only one remains undefeated. IV. Review Just a short review before proceeding to our lesson, what are the different kinds of angle? Correct. What do you call an angle that measures exactly 90º? Who can draw in the board an example of a right angle? Very good. Now take a look at this angle. What kind of angle is this? How can you say it’s an acute angle? That’s correct. Now who can draw on the Good morning ma’am. There are three different types of angles based on measurements; these are acute angle, right angle, obtuse angle. It’s a right angle ma’am. It’s an acute angle ma’am Because it measure less than 90º.
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  board a 130ºangle? What kind of angle is a 130º angle and why? V. Lesson Proper Take a look at this figure. How many angles can you see in this figure? Correct. We have ∠2 named as ∠DBC and ∠1 named as ∠CBA. What can you notice on these two angles? Do they have the same end point? What is their common side? These two angles are called adjacent angles. Adjacent angles are two angles that have the same point or vertex and a common side between them. Now take a look at this figure. How many angles can you see? This figure shows two intersecting lines at point A. these two intersecting lines form four angles namely ∠1, ∠2, ∠3 and ∠4. What can you say about ∠1 and ∠3? It’s an obtuse angle because it measures greater than 90º but less than 180º. There are two angles. Yes, they have a common end point or point B. The common side is 𝐷𝐵⃗⃗⃗⃗⃗⃗ . There are 4 angles.
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  Correct. If anglesare opposite to each other and are formed by two intersecting lines they are called vertical angles. Now what can you say about ∠1 and ∠2? ∠1 and ∠2 are both forming an adjacent line and they are as well supplementary that’s why they are called linear pair. Please draw on the board a 50º and a 40º. What kind of angles do we have here? Very good. The same as integers, we can also add two angles using its measure. Who can add these two angles? When the sum of the two angles measures 90º we call them complementary angle. Now take a look at these two angles. What kind of angles do we have here? And what is the total measure of these two angles? These angles are called supplementary angles because the sum of two angles measures 180º. Now get a ¼ piece of pad paper and answer these questions. They are opposite to each other. They are adjacent to each other. The two angles are acute angles. 50º + 40º = 90º We have an acute and obtuse angles. 110º + 70º = 180º
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  V. Evaluation Direction: Answerthe following questions on the test paper only. I. Write true if the statement is true, and false if otherwise. ______1.Supplementary angles measures 90º. ______2.Angles that has a common endpoint is called complementary angle. ______3.Vertical angles are opposite to each other and have a common endpoint. ______4. Linear pairs are supplementary and adjacent. ______5. Complementary angles measures 180º II. Base the answer on the given figure below A. Name the vertical angles. 1. _____ and _____ 2. _____ and _____ B. Name the linear pairs 1. _____ and _____ 2. _____ and _____ 3. _____ and _____ 4. _____ and _____