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Department: Math Understanding by Design Course: Geo Honors Standard(s): Understand congruence in terms of rigid motions Prove Geometric Theorems Stage 1: Desired Results Understandings S T A G E 1 STUDENTS WILL UNDERSTAND • To be able to name a polygon • To be able to find the sum of the measures of the interior and exterior angles of a polygon. • To be able to find the measure of each interior and exterior angle of a regular polygon. • To be able to find the number of diagonals in a polygon. Essential Questions Knowledge & Skill • What is a polygon? • How are polygons used in real life situations? • What is the relationship between the number of sides and the angle measures in a polygon? • What is the relationship between the number of sides and the number of diagonals in a polygon? Chapter 7 Vocabulary Section 7.1 Exterior angle Section 7.2 Section 7.3 Decagon Dodecagon Heptagon Hexagon Interior angle Nonagon Octagon Pentadecagon Pentagon Undecagon Section 7.4 Regular polygonChapter 7 - I Can Statements Section 7.1 I can apply theorems about the interior angles, the exterior angles, and the midlines of triangles. I can state the sum of the measures of the three angles of a triangle. I can identify an exterior angle in a diagram. I can recognize the relationship between an exterior angle and the sum of the measures of the remote interior angles in a triangle. I can recall and apply the Midline Theorem. (A segment joining the midpoint of 2 sides of a triangle is parallel to the 3rd side, and its length is ½ the length of the 3rd side). Section 7.2 I can call and apply the No-Choice Theorem. (If 2 angles of one triangle are congruent to 2 angles of a second triangle, then the third angles are congruent). I can identify included and non-included sides of a triangle. I can apply the AAS postulate accurately. Section 7.3 I can name a polygon given the number of sides (or vertices). I can recall and apply the interior angle theorem for a polygon. (Si = (n – 2)180) I can recall and apply the exterior angle theorem for a polygon. (Se = 360) I can recall and apply the formula to find the number of diagonals in a particular polygon given the number of sides. ( d = (n(n-3))/2 ) I can identify and define decagon, dodecagon, heptagon, hexagon, interior angle, octagon, pentadecagon, pentagon, and nonagon. Section 7.4 I can recognize and define a regular polygon. I can use a formula to find the measure of an exterior angle of an equiangular polygon. (E= 360/n ) Stage 2: Assessment Evidence Classroom Discussion Mastery Checks Quizzes Tests Student led proofs S T A G E Performance Task Summary Rubric Titles Answering questions in class Presenting solutions Group Posters Graphic Organizers Self-Assessments 2 Mastery Checks Clickers Quick Checks Other Evidence, Summarized Other assessment information will be obtained through observations, classroom participation, class discussion & interactions, and scaffold learning. Stage 3: Learning Activities • Complete problems involving angles and diagonals in a polygon. • Complete a project involving tessellations and/or string art. S T A G E 3