ࡱ> npm[ bjbj wΐΐ M* * mmmmm8,+Yoooo,,,*******.0r*m, ",,,*mmoo****,dmomo**,***)c*o.Sp;***0,+O*1*1(c*c*1mw*D,,*,,,,,***,,,,+,,,,1,,,,,,,,,* 3:  SHAPE \* MERGEFORMAT  Lesson Title: Pythagorean TheoremDate: Subject: MathGrade Level(s): 8Teacher: Time Frame: 60 minutes Lesson Summary: Students will be able to use the Pythagorean Theorem to find the length of the third side of any right triangle given the lengths of two of its sides.Lesson Objectives The students will know That the Pythagorean Theorem applies to right triangles only. How to find the length of the hypotenuse given the length of the legs of a right triangle. How to find the length of one leg of a right triangle given the length of the other leg and the hypotenuse. That the Distance Formula can be developed from the Pythagorean Theorem. The students will be able to Use the Pythagorean Theorem to find the length of the third side of any right triangle given the length of two of its sides.Lesson PlanTime:Procedure:Materials Needed:5 minutes Warm-up Exercise: Show slide 2. Discuss with students the parts of a right triangle. Explain that the legs form the right angle and the hypotenuse is opposite the right angle. Draw several right triangles, in various positions, on the chalkboard. Ask students to identify the parts of each triangle. PowerPoint Presentation, slide 2 15 minutesMotivation (Real-world Applications): Provide each student with a paper rectangle and a centimeter ruler. Challenge students to find the length of the diagonal of their rectangle without measuring it. Explain that they can only measure the length and width of their rectangle with their ruler. Show slide 3. Discuss how the sides of a right triangle are related. Encourage students to think of when they might need to use the Pythagorean Theorem in the real world.Paper rectangles; centimeter rulers; PowerPoint Presentation, slide 310 minutesPresentation of New Material: Show slides 46. As you work through the PowerPoint presentation for this lesson, be sure to point out how to write and solve an equation for a variable, how to square a number, and how to find the square root of a number.PowerPoint Presentation slides 46 15 minutesGuided Practice: Have students work in pairs. One partner should label two sides of a right triangle. The other partner should find the length of the third side. Have the students switch roles. Remind students that the hypotenuse is the longest side of a right triangle. 10 minutesIndependent Practice: Challenge students to use a coordinate grid and the Pythagorean Theorem to develop the distance formula. They should write their calculations on a sheet of paper. After giving students time to think about it, discuss slide 7.Paper and pencil; coordinate grid paper; PowerPoint Presentation, slide 75 minutesClosing Activities: Have students begin the Study Island Worksheet on the Pythagorean Theorem. Circulate around the classroom to offer guidance as needed.Copies of the Study Island Worksheet on the Pythagorean TheoremHomework: Have students complete the Study Island Worksheet on the Pythagorean Theorem.Differentiation: For extra support, have students perform hands-on measurement of paper right triangles, whose sides are each a whole number of inches, to confirm the Pythagorean Theorem for themselves. Give students needing an extra challenge a square and the measurement of its diagonal. Have students find the length of the sides and then use their findings to develop a formula for an isosceles right triangle.Teacher Reflection:      Copyright 2009 Study Island - All rights reserved. -@HIPRVhijk! 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