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Geometry Connections Chapter 8 Homework Passport Lesson 8.1.2 Name ________________________ HW: 8-17 thru 22 (GP), skip 21 Students will learn how to find the sum of the interior angles of a polygon and will be able to apply this skill to solve problems. 4 3 2 1 0 Lesson 8.1.3 HW: 8-29 thru 35(GP) Students will learn how to determine the measure of an interior and exterior angle of a regular polygon. 4 Lesson 8.1.4 3 2 1 0 HW: 8-40 through 46, skip 41 Students will develop multiple strategies to find the measures of interior and exterior angles of a regular polygon as well as the sum of the interior angles of polygons in general. 4 Lesson 8.1.5 4 Lesson 8.2.1 3 2 1 0 HW: 8-58 thru 65(GP) Students will develop an algorithm to find the area of any regular polygon. 3 2 1 0 HW: 8-71 thru 77 (GP) Students will learn that the ratio of the areas of similar figures is the square of the ratio of similarity (also called zoom factor). 4 3 2 1 0 Lesson 8.2.2 HW: 8-83 thru 89, skip 86 Students will continue to develop their understanding for how the area and perimeter of a shape change as the shape is enlarged or reduced proportionally. 4 Lesson 8.3.1 4 3 2 1 0 HW: 8-93 thru 99 Students will discover the area and circumference formulas for a circle. 3 2 1 0 Lesson 8.3.2 4 HW: 8-105 through 111 Students will develop methods to find the area of sectors and the length of arcs 3 2 1 0 Lesson 8.3.3 Complete the problems below. Students will use problem-solving strategies to find areas of circular and polygonal regions in context. 4 3 2 1 0 1. Write down all the ways that you can find the interior and exterior angles of a regular polygon. Make a sketch of a seven-sided regular polygon and any other regular polygon you choose. Showcase your understanding of regular polygons by finding all the interior and exterior angles of these two polygons. SHOW AND ORGANIZE ALL OF YOUR WORK! 2. Use problem 8-107 to further showcase your understanding of polygons. Explain clearly and in detail, to a student that does not know anything about the topic, how you found the measurements. 3. Choose one problem from Lesson 8.3.3 that you feel best exhibits your understanding of circles and carefully copy your work, modifying and expanding it if needed. Again, make sure your explanation is clear and detailed. Remember you are not only exhibiting your understanding of the mathematics, but you are also exhibiting your ability to communicate your justifications