EricaStage1

=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?//
•the Pythagorean Theorem is used in everyday applications and situations. •the Pythagorean Theorem was created by a mathematician in the 6th century for the purpose of construction. ||
 * //Students will understand that:// **(U)** ||
 * •the Pythagorean Theorem is used to find the length of a third side of a right triangle in applied problems.

//What essential questions will be considered?//
•Where is the theorem being applied? •Why did Pythagoras create the theorem? ||
 * **Essential Questions:** **(Q)** ||
 * •Why is the formula used for finding the 3rd side of a right triangle?

//What key knowledge and skills will students acquire as a result of this unit?//
•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 ||
 * //Students will know:// **(K)** || //Students will be able to:// **(S)** ||
 * •The Pythagorean Theorem formula


 * 2004 ASCD and Grant Wiggins and Jay McTighe**