Pythagorean Theorem Differentiated Instruction for Use in an ...

More documents

Recommendations

Info

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

Find the length of the missing leg on the triangles below. Page 5 a = 5 25 + b² = 81 9 b = ? 25 + b² – 25 = 81 – 25 5 c = 9 b² = 56 Substitute into the formula b = √56 5² + b² = 9² b = 7.483314774 Find the length of the missing leg. a = ? a² + 400 = 484 b = 20 a² + 400 – 400 = 484 - 400 c = 22 a² = 84 20 22 Substitute into the formula a = √84 a² + 20 = 22 a = 9.16515139 Find the length of the missing leg. The triangle at the right has a leg of 12 and a hypotenuse of 23.4. Label the triangle at the right and find the missing leg. Round to the nearest 100 th . 20.09 20
Day 3 Lesson – Applying the Pythagorean Theorem Objectives: Students will be able to: state the Pythagorean Theorem use a calculator to estimate a square root use the Pythagorean Theorem to solve problems in context Materials: Textbook, transparencies of questions 8 pp 362, 19 and 20 pp 363, and 20 pp 367, calculators, several rectangular boxes and triangles cut from construction paper which fit diagonally inside the box, copies of activity directions Outline of Activities: 1. Review the formula for the Pythagorean Theorem and how to use the calculator to estimate a square root. Have students draw a right triangle on a piece of paper and label the legs. Have students exchange papers and find the length of the hypotenuse. Students can return the papers so the originator can determine if the answer is correct. 2. Discuss with class question 8 pp362 in textbook using overhead transparency. Draw a triangle and label the legs and hypotenuse. Emphasize that the Pythagorean Theorem only works for right triangles and that the legs are always a and b and the hypotenuse is always c. What length is missing? A leg. Answer 10 ft. 3. Discuss with class question 19 pp 363 in textbook using overhead transparency. Draw a triangle and label the legs and hypotenuse. Emphasize that the Pythagorean Theorem only works for right triangles and that the legs are always a and b and the hypotenuse is always c. What length is missing? A leg. Answer 12 ft. 4. Discuss with class question 20 pp 363 in textbook using overhead transparency. Draw a rectangle. Review what a diagonal is with the class and that diagonal divides a rectangle into two right triangles. Ask students which sides of the newly created triangles are the legs and which side is the hypotenuse. Discuss why the Pythagorean Theorem can be used to determine the length of the diagonal. Draw a diagonal and label the legs and hypotenuses of the right triangles. What length is missing? The hypotenuse. Answer 10 ft. 5. Discuss with class question 20 pp 367 in textbook using overhead transparency. Draw a square. Review what a diagonal is with the class and that diagonal divides a square into two right triangles. Ask students which sides of the newly created triangles are the legs and which side is the hypotenuse. Discuss why the Pythagorean Theorem can be used to determine the length of the diagonal. Draw a diagonal and label the legs and hypotenuses of the right triangles. What length is missing? A leg. Answer a 12 in, b about 17 in. Students who work ahead and solve these problems on their own can work on additional activities. 21
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 and 10: Name ______________________________
Page 11 and 12: Day 2 Lesson - Developing the Pytha
Page 13 and 14: page 2 Count the blocks in the smal
Page 15 and 16: page 4 How can we use the Pythagore
Page 17 and 18: Name:___answer key_________________
Page 19: page 4 How can we use the Pythagore
Page 23 and 24: Name: _____________________________
Page 25 and 26: Answers 1) 22 cm 2) 51 in 3) 16 ft
Page 27 and 28: Name: _answer key__________________
Page 29 and 30: Name: ________________________ Acti
Page 31 and 32: Name:______________________________
Page 33 and 34: Name:_____________________________
Page 35 and 36: Answer key for the activities. Acti

Pythagorean Theorem Differentiated Instruction for Use in an ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?