Stage 1 Identify Desired Results
Establish Goals: (G) |
Common Core State Standards Content Area: Geometry/Algebra 1 Grade Level: High School Domain: Similarity, Right Triangles, and Trigonometry Standard: Define trigonometric ratios and solve problems involving right triangles. Cluster: #8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. |
What understandings are desired?
Students will understand that: (U) |
•the Pythagorean Theorem is used to solve right triangles in applied problems. •the theorem is used in everyday applications and situations. •the theorem was created by a mathematician in the 6th century. |
What essential questions will be considered?
Essential Questions: (Q) |
•Why is the formula used for finding the 3rd side of a right triangle? •Where is the theorem being applied? •Who is Pythagoras and how did he create the theorem? |
What key knowledge and skills will students acquire as a result of this unit?
Students will know: (K) | Students will be able to: (S) |
•The Pythagorean Theorem formula •Pertinent terminology such as hypotenuse, exponent, square root, area, perimeter, leg •Important events and people consisting of Pythagoras, the creation of the Pythagorean Theorem, and events that assisted in the creation of the theorem. | •Demonstrate how to calculate the 3rd side of a right triangle •Illustrate how the Pythagorean Theorem is used to solve problems concerning right triangles •Apply the Pythagorean Theorem to real world applications •Analyze the life of Pythagoras and how the theorem was created •Consider how the theorem was derived and determine whether Pythagoras should be the only one credited •Recognize that the Pythagorean Theorem is used in everyday life |
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