PPT-Pythagorean Triples 4 3 2

1 0 In addition to level 30 and beyond what was taught in class the student may Make connection with other concepts in math Make connection with other content areas Explain the relationship between the Pythagorean Theorem and the distance formula. 1 Generalization To Pythagorean Quadruples And n - tuples Tanay Roy $ and Farjana Jaishmin Sonia Pythagorean Quadruples. Number Theory. Dio phanrine Equations. Review . Pythagorean Theorem. A. 2. +B. 2. =C. 2. Pythagorean Triples. Ex: (3,4,5), ( 5, 12, 13),( 8, 15, 17),( 7, 24, 25),(20, 21, 29),(12, 35, 37),( 9, 40, 41),(28, 45, 53),(11, 60, 61),(16, 63, 65). Facilitator: David Brown . May 3, 2014. Workshop Goals. Setting the stage: . Standards for Mathematical Practices. Hands-on exploration of Pythagorean triples incorporating NYS Secondary CCLS-M. Discuss geometry and algebra connections. Use the difference of two squares theorem to write the answers to the following equation.. . w = 14. 2. Answer:. ±√14. Lesson 97:. Angles and Triangles, Pythagorean Theorem, Pythagorean Triples. Knowledge Fusion. : Challenges, Models, and Applications. Xin. Luna Dong (Google Inc.). Divesh. . Srivastava. (AT&T Labs-Research). Knowledge Is Power. 2. Google knowledge graph. Many knowledge bases (KB). Theorem. A . tool. for . right . triangle. problems . only. When do I need to use. the Pythagorean Theorem ?. When I know: length of 2 sides. And. Need to know: length of 3rd side. What is the Pythagorean Theorem?. Theorem. A . tool. for . right . triangle. problems. What is a right triangle?. It is a triangle which has an angle that is . 90. degrees. . The two sides that make up the right angle are called . for hypotenuses, legs . and distance. Pythagorean Theorem. Right Triangles. Leg. . Leg. Hypotenuse. Pythagorean Theorem. a. b. c. In a RIGHT triangle, if a and b are the lengths of the legs and c is hypotenuse, then….. The Pythagorean Theorem. In words:. As an equation:. Pythagorean Triples. A set of nonzero whole numbers a, b, and c that satisfy the equation . is called a Pythagorean triple. Example: 3, 4, 5 or 8, 15, 17. for grades 9-12. Erica Papa. Table of Contents . Title Page. Table of contents. Where did the Pythagorean Theorem come from? . Pythagoras. Pythagorean Theorem equation. Can you label the triangle?. Leading to Pythagorean Triples. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Pythagorean Theorem. Warm Up. Classify each triangle by its angle measures.. 1.. . . 2.. . 3. . Simplify . 4. . If . 2. B. 2 . = C. 2. THE PYTHAGOREAN THEOREM. LEG A. LEG B. HYPOTENUSE. PARTS OF A RIGHT TRIANGLE. THE PYTHAGOREAN THEOREM. DIAGONALS. SIDES. PARTS OF A RECTANGLE. OR SQUARE. SIDES. NOTICE TWO RIGHT TRIANGLES FORM A RECTANGLE. . • claim to esoteric knowledge. • self-representation as pious/arrogant. • . textual source of cult authority. • . privacy and exclusiveness sources of . suspicion. • suspicion of subversive belief/activity. 4. 3. 2. 1. 0. In addition to level 3.0 and beyond what was taught in class, the student may. : . Make connection with other concepts in math.. Make connection with other content areas.. Explain the relationship between the Pythagorean Theorem and the distance formula..