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Lesson 2 Area of a Rectangle / Area Addition Postulate

Lesson Component Description of Component For This Lesson
Lesson Opening   (10 minutes)     Introduction of New Material (5 minutes)   Objective: To calculate the area of rectangles and non-standard polygons. SWBAT: (1) identify rectangle component parts (2) explore the case where the base equals the height (3) calculate the area and perimeter of a rectangle   Do Now: Refresh polynomial distribution Simplify (2x + 1)(x – 4) Simplify (3 – d)(4d + 9) Homework posted on board as students enter [HW] Pg. 426, No. 1 – 24, odd   (1) Mini-lesson I will describe the characteristics of a rectangle (opposite sides parallel, interior right angles), highlighting the case of the square. I will identify the base and height. I will review the proper formula for calculating the area of a rectangle and define all variables (Area A, height h, base b and perimeter p). I will define the Area Addition Postulate using a trapezoid example, drawing 2 heights to section it.   A = bh, p = ∑ [sides], A = s2 (2) Engagement I will demonstrate an example for a rectangle, identifying the component parts and calculating the area and perimeter each time. I will show the case where the rectangles sides are all equal, b = h, therefore the formula is simplified. I will demonstrate the Area Addition postulate, incorporating both A and A formulae to solve.
  Student Practice of New Material (20 minutes)   (4) Exploration/Application Students will identify the base and height in several rectangle scenario’s, applying the appropriate formula to solve for the unknown component of the rectangle in a table. Students will apply the Area formula to complete the table in their notebooks. Students will compute the Area of the figure by sectioning and applying the Area Addition Postulate.  

 

Summary (5 minutes) (4) Assessment An exit ticket to assess, hand out index cards. Students will express, in words, the proper method for calculating the area, A, of figure ABCDEF (more than one answer exists!) Submit index card before departing class.

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

 

b 8 cm 12 m 3 √2 ft 5√3 in x + 3
h 3 cm ? 2 ft ? ?
A ? 36 m2 ? ? 2x2 + 6x
p ? ? ? 14√3 in ?

 

Exit Ticket (describe how to find Area, A) :

 

B

A F E D

 
 

 

 


B C

 


Homework


Date: 2015-12-24; view: 930


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Lesson 1: Areas of Triangles | Lesson 3: Area of a Trapezoid
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