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|Lesson Title: Pythagorean Theorem |Date: |

|Subject: Math |Grade Level(s): 8 |

|Teacher: |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 Plan |

|Time: |Procedure: |Materials Needed: |

|5 minutes |Warm-up Exercise: |PowerPoint Presentation, slide 2 |

| |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. | |

|15 minutes |Motivation (Real-world Applications): |Paper rectangles; centimeter rulers; PowerPoint Presentation, slide 3 |

| |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. | |

|10 minutes |Presentation of New Material: |PowerPoint Presentation slides 4–6 |

| |Show slides 4–6. 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. | |

|15 minutes |Guided 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 minutes |Independent Practice: |Paper and pencil; coordinate grid paper; PowerPoint Presentation, |

| |Challenge students to use a coordinate grid and the Pythagorean |slide 7 |

| |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. | |

|5 minutes |Closing Activities: |Copies of the Study Island Worksheet on the Pythagorean Theorem |

| |Have students begin the Study Island Worksheet on the Pythagorean | |

| |Theorem. Circulate around the classroom to offer guidance as | |

| |needed. | |

|Homework: 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: |

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