Day 1. Last Night s Homework Angle Worksheet (11 problems) Bellwork Angle quiz.

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1 Course: 7 th Grade Math DETAIL LESSON PLAN Wednesday, January 25 / Thursday, January 26 Student Objective (Obj. 3e) TSW use the Pythagorean Theorem to find the missing length of a side of a right triangle. Lesson 8-7 Pythagorean Theorem Textbook Pages: Homework Mixed Review Sheet (8 problems) Last Night s Homework Angle Worksheet (11 problems) Bellwork Angle quiz. Prior Knowledge During our last class, we learned about the different types of angles. We learned that a right angle has 90. Today, we will be working with a particular type of triangle called a Right Triangle. Anticipatory Set Display transparency What is a Right Triangle Day 1 Display transparency Pythagorean Theorem We will learn how to find the missing length of a side on a RIGHT triangle. To help us, we ll use a special formula called the Pythagorean Theorem! What is the Pythagorean Theorem and how is it used in the real world? Display transparency: What is the Pythagorean Theorem? Display transparency: Find that Right Triangle! Why learn this? Well, if given the length of two sides of a triangle, we can find the missing side by using the Pythagorean Theorem. As seen in our introduction, band directors may need to find the length of the diagonal of a football field in order to determine where to best place band members during a halftime routine! Teacher Input Review bellwork quiz. Review homework. Define right triangle. Explain what the Pythagorean Theorem is and how it is used with right triangles. Display transparencies Find the Right Triangle! to introduce today s lesson on the Pythagorean Theorem. Pass out student notes. Talk about important things to know about Right Triangles. Demonstrate how to find the length of a missing hypotenuse using the Pythagorean Theorem. Guide students through example problem using special scratch paper. Demonstrate how to find the length of a missing leg using the Pythagorean Theorem. Guide students through example problem using special scratch paper. Have students work you try problem. Classwork: 4 problems from PH Reteaching 8-7. (Think, Pair, Share) Extra Practice: 2 reading problems from PH Reteaching 8-7. Homework: Mixed review sheet. Assessment Question students for understanding. Observation students as they work on their classwork. Closure Circle Map: Pythagorean Theorem Buzzzzzzz Words!

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4 Name: Answer Key Period: Date: Last Night s HW m ABC 120 m Z Using what you know about angles to match each measurement to the correct angle. 30º 90º 180º 160º 110º What angle measure is complementary to 73º? What angle measure is supplementary to 56º? 124 OVER

5 Use the diagram below to answer questions Which angle is obtuse? A. FBC B. DBA C. DBC D. EBC 7. Which angle is acute? A. DBE B. ABC C. DBF D. CBE 8. Which angle is complementary to EBF? A. DBE B. FBC C. DBF D. CBE 9. Which angle is supplementary to ABD? A. ABC B. FBC C. DBF D. DBC 10. Name the straight angle? ABC 11. Name two right angles? EBC EBA (Answers May Vary: ABE, CBE )

6 Student Notes Lesson 8-7 Pythagorean Theorem Textbook Pages Leg (A) Hypotenuse (C) The Pythagorean Theorem: Leg (B) To find the missing length of a side on a Right triangle, follow the steps below. Step 1: Plug-in the information that you know into the equation. Step 2: Simplify the equation by... finding the squares of the sides you know getting the variable alone on one side of the equal sign (if necessary) Step 3: Find the square root of your number. Find the missing hypotenuse. (Round to the nearest tenth) a = 2 ft b = 5 ft c =? Step 1 : Plug-in Step 2 : Simplify You Try! Step 3: Square Root Answer: c = or 5.4 ft rounded Find the missing hypotenuse where: a = 8 in b = 15 in c =? Step 1: Step 2: Step 3: c = in

7 Find the missing leg. (Round to the nearest tenth) Step 1 : Plug-in 7 cm b 14 cm Step 2 : Simplify Get variable alone by subtracting 49 from both sides Step 3: Square Root Answer: b = or 12.1 cm rounded You Try! Find the missing leg. Step 1: Step 2: Step 3: a = m a 8 m 10 m

8 Name: Period: Find the missing length of each right triangle. Round to the nearest tenth. Classwork Pythagorean Theorem 1) Step 1: Step 2: Step 3: c = in 2) Step 1: Step 2: Step 3: c = m See Back

9 3) Step 1: Step 2: Step 3: a = ft 4) Step 1: Step 2: Step 3: a = cm Extra Practice: 16 cm 6 ft 18 cm 3 ft Step 1: Step 1: Step 2: Step 2: Step 3: Step 3: C = ft C = cm

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13 Name: Period: Mixed Review 1) Solve the 2-step equation below: step 1 step 2 2) Scale: 5 in = 15 ft What is the actual length if the drawing length is 10 in? 3) Convert to a percent: % (Remember, turn to a decimal by dividing, then move the decimal two places to the right) 4) Convert 37.5% to a decimal: 5) Convert 225% to a fraction: (Remember, turn to a decimal 6) Find the complement of: A = 25 first, then convert the decimal to a fraction. Make sure you simplify your fraction!) 7) Find the supplement of: A = 25 8) Given that ABC MNO complete the following: a. A Side MN Side AC

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