Angles And Polygons Lesson Plan PDF

Summary

This lesson plan covers angles and polygons, introducing regular and irregular polygons, and includes exercises for constructing them. It's a mathematics lesson plan suitable for secondary school.

Full Transcript

ANGLES AND POLYGONS FIRST QUARTER │ LESSON 1 LEARN DIFFERENT. LIVE DIFFERENT. Learning Objectives At the end of this unit, you should be able to Define regular and irregular polygons and determine the characteristics of polygons with 5, 6, 8, or 10 sides. Uti...

ANGLES AND POLYGONS FIRST QUARTER │ LESSON 1 LEARN DIFFERENT. LIVE DIFFERENT. Learning Objectives At the end of this unit, you should be able to Define regular and irregular polygons and determine the characteristics of polygons with 5, 6, 8, or 10 sides. Utilize a ruler and protractor to measure sides and angles accurately for constructing regular and irregular polygons. Draw and describe triangles, quadrilaterals, and regular polygons (5, 6, 8, or 10 sides) with given angle measures. LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. u p arm ty W ctivi A No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. Warm UP Activity go n i on oly u ct 1 P ons tr 10 C No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. INSTRUCTIONS LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. 1. Using your ruler, draw a straight line of 5 cm. 2. At one end of the line, use your protractor to measure an angle of 110° 3. From this point, draw a line measuring 5 cm. 4. Continue this process until you have drawn a regular pentagon. 5. Repeat this activity for an irregular pentagon, choosing various lengths for the sides. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. Guided questions LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. 1. What distinguishes a regular pentagon from an irregular one? 2. How did using the protractor assist in ensuring your angles were accurate? No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. earn it L about No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. ANGLES AND POLYGONS Constructing Regular and Irregular Polygons LEARN DIFFERENT. LIVE DIFFERENT. LPU LAGUNA HIGH SCHOOL DEFINITION LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L E A R N D I F F E R E N T. L I V E D I F F E R E N T. L I V E D I F F E R E N T. POLYGONS closed two-dimensional shapes made up of line segments. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. The following are the different parts of the polygon. ○ The side refers to the line segments that enclose the polygon. ○ The vertex (plural: vertices) refers to the point of intersection of the sides of a polygon. ○ The angle refers to the opening that the two sides form. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. Examples of Polygons No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L I V E D I F F E R E N T. The following figures are not polygons. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL DEFINITION LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L E A R N D I F F E R E N T. L I V E D I F F E R E N T. L I V E D I F F E R E N T. REGULAR POLYGONS polygons that have all sides of equal length and all angles Of equal measure No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL EXAMPLE LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L E A R N D I F F E R E N T. L I V E D I F F E R E N T. L I V E D I F F E R E N T. The figure below is an example of a regular polygon. The tick marks indicate that its sides have the same length, and its angles have equal measures. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL EXAMPLE 1 LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L E A R N D I F F E R E N T. L I V E D I F F E R E N T. L I V E D I F F E R E N T. A plane figure with five sides that all measure 3 cm each and five angles all measuring 108° each. Is the given figure a regular polygon? No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL EXAMPLE 1 LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L E A R N D I F F E R E N T. L I V E D I F F E R E N T. L I V E D I F F E R E N T. A plane figure with five sides that all measure 3 cm each and five angles all measuring 108° each. Is the given figure a regular polygon? Step 1: Determine if the figure is a polygon. Step 2: Determine if the polygon is a regular polygon. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L. LPU LAGUNA HIGH SCHOOL try it yourself! LPU LAGUNA HIGH SCHOOL L E A R N D I F F E R E N T. L E A R N D I F F E R E N T. L I V E D I F F E R E N T. L I V E D I F F E R E N T. Construct an equilateral triangle. An equilateral triangle has three sides with equal measures. Each angle measures 60°. Step 1: Draw a line of any length. Step 2: At one end of the line, use a protractor to measure an angle of 60°. Draw the next line from that point and at the given angle. Make sure that the new line has the same length as the previous line. Step 3: Repeat Step 2 until you complete the triangle. No part of this material may be copied of reproduced in whatever form without the express written permission of LPU-L.

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