MATH-7-LESSON-1Quarter 1 Polygons Charac

LinielFeliminiano 1,396 views 53 slides Jul 30, 2024
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About This Presentation

Lesson 1


Slide Content

HIVESSEL E-LESSON QUICK GUIDE hivessel _hivessel [email protected] This PowerPoint presentation includes a lesson discussion and a brief quiz for your class. We recommend selecting a motivational activity and further assessments from Hivessel's minigame options that best aligns with your objectives. This material is based on the latest Matatag Curriculum from the Department of Education (DepEd). You are welcome to adjust the lesson objectives to align with your lesson plan. This material is not for resale. If you encounter any unauthorized sales, please contact us immediately. Hivessel.com hivessel _hivessel [email protected] Hivessel.com

LESSON OBJECTIVES Identify and define regular and irregular polygons with 90% accuracy; Draw regular polygons with 5, 6, 8, and 10 sides using a ruler and protractor with precision; Show enthusiasm and interest in learning about regular and irregular polygons by actively participating in discussions and activities. hivessel _hivessel [email protected] Hivessel.com

To fully understand this lesson, you should have already learned about visualizing, naming, and describing polygons. POLYGON hivessel _hivessel [email protected] Hivessel.com

Understanding shapes is important in mathematics, but it also has many practical applications in real-life situations. hivessel _hivessel [email protected] Hivessel.com

Professionals such as engineers, architects, artists, real-estate agents, farmers and construction workers deal with shapes in their workplace. hivessel _hivessel [email protected] Hivessel.com

So, are you ready to learn? Let’s begin. hivessel _hivessel [email protected] Hivessel.com

Before we describe and compare the properties of regular and irregular polygons, let us review how to visualize, name and describe polygons with 5 or more sides. WHAT’S IN hivessel _hivessel [email protected] Hivessel.com

You learned in the previous lesson that a polygon is a closed plane figure that is formed by the line segments that meet only at their endpoints. hivessel _hivessel [email protected] Hivessel.com

The line segments are the sides and the endpoints where sides meet are the vertices. hivessel _hivessel [email protected] Hivessel.com

The two adjacent sides form an angle. Plane figures like circles or any other shape that includes a curve are not considered polygons. hivessel _hivessel [email protected] Hivessel.com

FIGURES 1 AND 2 BELOW ARE EXAMPLES OF POLYGON. hivessel _hivessel [email protected] Hivessel.com

Figure 1 has five sides, five angles and five vertices. Its sides are (AB) ̅,(BC) ̅ ,(CD) ̅,(DE) ̅,(EA) ̅. Its angles are A, B, C, D, E. Its vertices are A, B, C, D and E. hivessel _hivessel [email protected] Hivessel.com

Can you name the sides, angles and vertices of figures 2? hivessel _hivessel [email protected] Hivessel.com

THE FIGURES BELOW ARE NON-POLYGONS. CAN YOU TELL WHY? hivessel _hivessel [email protected] Hivessel.com

Polygons are identified according to the number of sides that they have. Here are the different polygons and their identification. hivessel _hivessel [email protected] Hivessel.com

CLASSIFICATION OF POLYGON ACCORDING TO NUMBER OF SIDES hivessel _hivessel [email protected] Hivessel.com

CLASSIFICATION OF POLYGON ACCORDING TO NUMBER OF SIDES hivessel _hivessel [email protected] Hivessel.com

CLASSIFICATION OF POLYGON ACCORDING TO NUMBER OF SIDES hivessel _hivessel [email protected] Hivessel.com

Polygons are all around us. A lot of polygons can be found in our homes and in the community where we live in. For example, when you travel on streets, you see road signs. Most of these have the shape of a polygon. hivessel _hivessel [email protected] Hivessel.com

A polygon is any shape made up of line segments that can be drawn on a flat surface, like a piece of paper. Such shapes include squares, rectangles, triangles and pentagons. The following figures are examples of polygons around us. Can you determine what these are and where you typically see them? hivessel _hivessel [email protected] Hivessel.com

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In the previous module, you were taught on how to visualize, name and describe polygons with 5 or more sides. This new lesson is going to teach you how to describe and compare properties of polygons that will help you classify them as either regular or irregular. What Is It hivessel _hivessel [email protected] Hivessel.com

The pictures above show samples of regular and irregular polygons. Which of these are regular and which are irregular? hivessel _hivessel [email protected] Hivessel.com

For you to determine regular and irregular polygons, you need to look at the sides and angles. hivessel _hivessel [email protected] Hivessel.com

For you to determine regular and irregular polygons, you need to look at the sides and angles. hivessel _hivessel [email protected] Hivessel.com

THE FOLLOWING ARE EXAMPLES OF REGULAR POLYGONS hivessel _hivessel [email protected] Hivessel.com

THE FOLLOWING ARE EXAMPLES OF IRREGULAR POLYGONS: hivessel _hivessel [email protected] Hivessel.com

MODEL IT! hivessel _hivessel [email protected] Hivessel.com hivessel _hivessel [email protected] Hivessel.com

hivessel _hivessel [email protected] Hivessel.com Activity 1: Materials: Ruler, protractor, pencil, paper hivessel _hivessel [email protected] Hivessel.com

hivessel _hivessel [email protected] Hivessel.com Procedure: 1. Using your ruler, measure the sides of the polygons given above. Write the measure of each side. 2. Using your protractor, measure the internal angles of the given polygons. Write the measure of each of the internal angles hivessel _hivessel [email protected] Hivessel.com

hivessel _hivessel [email protected] Hivessel.com What did you find out? hivessel _hivessel [email protected] Hivessel.com

hivessel _hivessel [email protected] Hivessel.com A polygon which has all its sides of equal length and all its angles of equal measures is called a regular polygon.

hivessel _hivessel [email protected] Hivessel.com Here are the different shapes in regular forms:

hivessel _hivessel [email protected] Hivessel.com The marks on the sides of the polygons indicate equal length. A polygon that is NOT a regular polygon is called an irregular polygon. Here are the different shapes in irregular forms:

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hivessel _hivessel [email protected] Hivessel.com All sides of this triangle are in equal length, all angles are equal. Therefore, it is a regular polygon.

hivessel _hivessel [email protected] Hivessel.com In the adjoining figure of a quadrilateral there are four sides, where the opposite sides are equal such as, AB = CD and AC = BD. AB is not equal to BD. Therefore, this is an irregular polygon

hivessel _hivessel [email protected] Hivessel.com The measure of A is equal to the measure of B. The measure of C is equal to the measure of D, but not all four angles are congruent. Therefore, this is an irregular polygon.

hivessel _hivessel [email protected] Hivessel.com All eight sides of this polygon are equal in length. Similarly, all of its angles are equal. Therefore, this octagon is a regular polygon.

hivessel _hivessel [email protected] Hivessel.com All four sides are the same length, like a square that has been squashed sideways, but not all four angles are congruent. Therefore, this rhombus is an irregular polygon.

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hivessel _hivessel [email protected] Hivessel.com A. Directions: Read and understand the questions that follow. Choose the letter that corresponds to the correct answer. Write your answer on a separate sheet of paper.

hivessel _hivessel [email protected] Hivessel.com 1. Which of the following is a polygon?

hivessel _hivessel [email protected] Hivessel.com 2. Which of the following statements is TRUE about an irregular polygon? I. The lengths of the sides of an irregular polygon are not equal. II. The measures of all the interiors angles are equal. a. Statements I only c. Both Statements I and II b. Statements II only d. Neither I nor II

hivessel _hivessel [email protected] Hivessel.com For items 3 and 4, identify the given polygon and tell whether it is regular or irregular

hivessel _hivessel [email protected] Hivessel.com a. octagon - irregular b. octagon - regular c. decagon -irregular d. decagon – regular 3.

hivessel _hivessel [email protected] Hivessel.com 4. a. octagon - regular b. heptagon - regular c. pentagon - irregular d. decagon - irregular

hivessel _hivessel [email protected] Hivessel.com 5. Which of the following is a REGULAR POLYGON?

hivessel _hivessel [email protected] Hivessel.com Answer Key: D A C B D

hivessel _hivessel [email protected] Hivessel.com REFERENCES K to 12 Grade 5 Curriculum Guide, p 61, Lesson Guide in Elementary Mathematics 5, p. 354-357 2011-2021, (., n.d. Properties of Polygons | Skills You Need. [online] Skillsyouneed.com. Available at: [Accessed 4 March 2021]. The School Run. n.d. What are regular and irregular shapes? [online] Available at: [Accessed 4 March 2021]. Math Only Math. n.d. Regular and Irregular Polygon | Examples of Irregular and Regular Polygon. [online] Available at: [Accessed 4 March 2021] Tamoyang, E. B. (n.d.). Mathematics: Quarter 3 – Module 7: Describing and Comparing Properties of Regular and Irregular Polygons. Lesson PPT Design by : Ms. Krizzia SPECIAL THANKS TO:

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