Lesson 4: Area of a Regular Polygon

Lesson Component	Description of Component For This Lesson
Lesson Opening   (10 minutes)     Introduction of New Material (5 minutes)	Objective: To calculate the area of a regular polygon. SWBAT: (1) identify a regular polygon and it’s component parts (2) calculate the area and perimeter of a regular polygon   Do Now: Refresh polynomial distribution Simplify 2√ 3 ∙ 5√ 3 Factor 3y2 – 5y - 2 Homework posted on board as students enter [HW] Pg. 443, Nos. 1 – 16, even   (1) Mini-lesson I will describe the characteristics of a regular polygon (all sides and interior angles congruent, interior angle sum related to # of sides, regular polygons constructed of n isosceles triangles). I will demonstrate how to identify the side, s, radius, r, through circumscribing the polygon and the apothem, a, as a side bisector. I will review the formula for calculating the area of a regular polygon using the apothem and by using the Area Addition postulate. I will identify all the variables (Area A, apothem a, and radius r).   A = ½ap (2) Engagement I will demonstrate identifying a regular polygon, identifying the component parts and calculating the perimeter and the area. I will demonstrate the Area Addition postulate can also be used by calculating A and multiplying by the number of sides, n.
Student Practice of New Material (20 minutes)	(6) Exploration/Application Students will identify the polygon to be a regular polygon. Students will identify the apothem, side and radius, applying the appropriate formula to solve for the unknown component of the regular polygon in a table. Students will apply the Area formula to complete the table in their notebooks.
Summary (5 minutes)	(4) Assessment An exit ticket to assess, hand out index cards. Students will express, in words, at least 2 ways to calculate the area, A, of regular hexagon ABCDEF. Submit index card before departing class.

Part 3. Complete the below table in your notebook by applying the formula for Area and perimeter of a regular pentagon.

Exit Ticket (describe how to find Area, A,of the regular hexagon with center, O) :

A B

F C

E X F

Homework

Date: 2015-12-24; view: 785