Pythagorean Theorem Differentiated Instruction for Use in an ...

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$By: Melissa Hanel Math B/Grade 11 5 Day Unit Plan Technologies ...$

pieces for Puzzle Proof One 5 2 4 3 1 6 8 pieces for Puzzle Proof Two 7 13 11 12 10 9 10
Day 2 Lesson – Developing the Pythagorean Theorem Objectives: Students will be able to: identify the legs and hypotenuse of a right triangle state the Pythagorean Theorem use the Pythagorean Theorem to find the lengths of the sides of right triangles Materials: Right triangle tray and green and blue tiles, copies of notes, transparency of notes page 3, calculators Outline of Activities: 1. Review right triangles and the area of a square. Draw a right triangle on the board and use it to introduce right triangle vocabulary. Ask students what kind of triangle it is? Where is the right angle? The hypotenuse is across from the right angle, also the longest side. The other sides of a right triangle are called the legs. Draw a square with side s on the board. Students should be able to identify the area. 2. Develop the Pythagorean Theorem formally. Ask a student to remind the class of the activity we did yesterday. What does this tell us about the area of the squares? The area of the small square + the area of the medium square = the area of the large square. Using the right angle tray, green and blue tiles follow the directions for proving the Pythagorean Theorem on page 2. Emphasize that the legs are always a and b and the hypotenuse is always c. 3. What does the Pythagorean Theorem look like with numbers? Add numbers, a = 3 and b = 4. What will a² be? What will b² be? 9 + 16 = 25 25 is equal to c². As a class discuss the example on the notes page 3. Ask the students to point out which side are the legs and which side is the hypotenuse. Review how to find a square root using a calculator. Have students fill in the boxes at the bottom of page 3. Press the yellow 2 nd key, then x², and be sure to close the parentheses. 4. How can we use the Pythagorean Theorem? The Pythagorean Theorem allows us to find the length of a side of a right triangle if we know the length of the other two sides. Do example problems for finding missing side lengths (notes page 4 and 5). 5. Ask a student to restate the Pythagorean Theorem. Ask a student what the Pythagorean Theorem can be used for. Assign students additional activities as needed. 11
Page 1 and 2: Pythagorean Theorem Differentiated
Page 3 and 4: Resources Textbook Prentice Hall Mi
Page 5 and 6: Overview Introduction I developed t
Page 7 and 8: Day 1 Lesson - Puzzle Proofs of the
Page 9: Name ______________________________
Page 13 and 14: page 2 Count the blocks in the smal
Page 15 and 16: page 4 How can we use the Pythagore
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Page 19 and 20: page 4 How can we use the Pythagore
Page 21 and 22: Day 3 Lesson - Applying the Pythago
Page 23 and 24: Name: _____________________________
Page 25 and 26: Answers 1) 22 cm 2) 51 in 3) 16 ft
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Page 29 and 30: Name: ________________________ Acti
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Page 35 and 36: Answer key for the activities. Acti

Pythagorean Theorem Differentiated Instruction for Use in an ...

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