S1+Welch,+Leigh

=Stage 1 - Identify Desired Results= Content Area: Geometry Grade Level: High School Domain: Congruence Cluster: Prove Geometric Theorems Standard: 9. Prove theorems about lines and angles. 10. Prove theorems about triangles. ||
 * **Establish Goals (MLR of CCSS):** **(G)** ||
 * Common Core State Standard

//What understandings are desired?//
• angles, lines and triangles are elements in problems that occur in real life. • triangles, lines and angles are foundations in Geometry. ||
 * **//Students will understand that://** **(U)** ||
 * • lines, angles and triangles all have relationships and dependencies upon each other.

//What essential questions will be considered?//
• How do triangles, lines and angles help to solve problems that occur in real life? • What are some of the reason why triangles, angles and lines are fundamental to Geometry? ||
 * **Essential Questions:** **(Q)** ||
 * • How do angles, triangles and lines relate to and depend upon each other?

//What key knowledge and skills will students acquire as a result of this unit?//
triangles lines • Formulas- Pythagorean Theorem (right triangles) (a^2+b^2=c^2) Slope (y2-y1/x2-x1), Standard Linear Format y=mx+b (m=slope, b=y-intercept) • Key Factual Information- Properties of lines (equal 180 degrees, has a slope, etc) Properties of triangles (equal 180 degrees, three sides, three angles, etc) Properties of angles (a circle has 360 degrees, angles between two lines, etc) SohCahToa (for triangles) (Sine-opposite, hypotenuse, Cosine-adjacent, hypotenuse, Tangent-opposite, adjacent) || • Show the relationships between angles, triangles and lines. • Illustrate a real life problem where you need to use angles triangles and lines. • Use the definitions of lines, triangles, and angles to solve problems. • Compare and contrast the properties of angles, lines and triangles. • Assume the role of a person who uses lines, angles and triangles in their everyday life. • Realize that lines, angles and triangles are parts of other shapes. ||
 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * • Definitions- angles


 * 2004 ASCD and Grant Wiggins and Jay McTighe.**