S1+O'Halloran,Erin+Marissa

=Stage 1 - Identify Desired Results= Geometric Figures Grades 9 - Diploma Students justify statements about polygons and solve problems. ||
 * **Establish Goals (MLR):** **(G)** ||
 * Maine Learning Results: Mathematics- C. Geometry

//What understandings are desired?//
• computing areas and volumes is based on the object's properties and dimensions. • measurements are based on size and shape. ||
 * **//Students will understand that://** **(U)** ||
 * • problems could be solved using geometric properties.

//What essential questions will be considered?//
• How would you perform a transformation on a geometric figure? • Why is it important to know how to compute areas and volumes based on properties and dimensions? ||
 * **Essential Questions:** **(Q)** ||
 * • How would geometric properties solve problems?

//What key knowledge and skills will students acquire as a result of this unit?//

 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * • Formulas: distance formula, Pythagorean theorem, sum of the angles in an n-sided polygon, areas, volumes, surface area, 45-45-90 triangles, 30-60-90 triangles

• Definitions: right triangle, triangle, square, rectangle, parallelogram, trapezoid, circle, rhombus, cube, regular prism, irregular prism, cylinder, pyramid, cone, sphere, translation, reflection, rotation, dilation, glide reflection, congruent, similar.

• Critical details: using dimension, area, volume, and transformations to solve problems || • describe the functions of right angles in everyday life. • illustrate shapes based on lengths and angles. • use similarities and congruences on polygons to determine certain properties. • analyze the Pythagorean theorem and how it can be used to solve area problems. • imagine what a shape would look like after a transformation. • recognize measurements of objects and their names. ||


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