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Triangles Lesson Plan Background Information Objectives At the end of the triangles lesson, students will be able to: • Apply the properties and characteristics of all triangles to solve real-world problems. • Identify and use the unique characteristics of right, isosceles, equilateral, acute, obtuse, and scalene triangles. All triangles have three sides and three angles. Triangles are classified as right, equilateral, isosceles, or scalene by the measures of their sides and angles. Two triangles are similar when their corresponding sides are in proportion to each other. Similar triangles always have equal corresponding angles. Similar triangles have the same shape, but they are not necessarily the same size. This lesson should take approximately 1 hour and 15 minutes to complete, if all components are utilized. Video In the video, we will see how triangles are named, how they are compared, and how they are used to solve problems in the real world. Show the video Real World Problems. After the video, focus on these points: • The sum of the angles in any triangle is always 180°. • Equilateral triangles have three equal sides and angles. • Isosceles triangles have two equal sides and angles. • Scalene triangles have no equal sides or angles. • Triangles are similar if they have equal corresponding angles. • The long side opposite the right angle of a right triangle is called the hypotenuse. • The formula for the area of a triangle is ½ x base x height. Worksheets/Practice This worksheet packet provides practice from the GED Connection Mathematics workbook and reinforces concepts presented in the video. Geometry, p. 179, Skill Practice GED Practice, p. 186, problems 2 and 3 GED Practice, p. 187, problems 9 and 12 GED Practice, p. 188, problems 20 and 22 GED Practice, p. 190, problems 31 and 34 Triangles • 1 Funded by Kentucky Adult Education Online Activities Further practice can be found online at LiteracyLink (www.pbs.org/literacy). Further explanations and a practice test can be found at ThinkQuest. For more resources and an overview of the 2002 GED® test, click www.gedmathstrategies.com. Test Tip: • Not all geometry items on the GED® Mathematics test will have a diagram. Making a quick sketch may help you understand the problem. GED® and GED Testing Service® are registered trademarks of the American Council on Education. Used under license. 2 • Triangles Funded by Kentucky Adult Education