| Lesson 5: Surface Area and Volume of a Right Prism
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 the parts of a prism
(2) find the lateral area, surface area and volume of a right prisms
Do Now: Refresh polynomial distribution
Find the perimeter of a square with side = 7 inches.
Find the area of a rectangle with dimensions 3in x 11in.
Homework posted on board as students enter
[HW] Pg. 478, Nos. 1 – 12, even, 18, 20, 22
(1) Mini-lesson
I will illustrate the difference between the area of a figure and the volume of a solid. I will describe the characteristics of a prism (two congruent bases, with Area B, altitude, h, lateral faces and lateral edges). I will demonstrate how all lateral faces are parallelograms. I will define the difference between oblique and regular prisms (lateral faces are rectangles). I will show how prisms are classified by the shape of their bases (i.e. right triangular prism, oblique pentagonal prism, etc.). I will denote that the lateral edges of a regular prism are altitudes. I will demonstrate calculating the surface area (Also called the Total Area) of a prism using the Area Addition Postulate. I will demonstrate calculating the volume of a prism.
S.A. = L.A. + 2B
V = Bh
(2) Engagement
I will demonstrate calculating the Area of a lateral face and multiplying it by the number if sides on the shape of the base to determine the Lateral Area. I will demonstrate a second method, multiplying the perimeter of the base by the altitude of the prism.
| Student Practice of New Material
(20 minutes)
| (7) Exploration/Application
Students will identify the shape of the base and altitude of a rectangular prism, then apply the appropriate formula to solve for the unknown component of the prism 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 lateral area, L.A., and Volume of the regular prism shown. 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.
l
| 5 cm
| 2 m
| ?
| w
| 7 cm
| 4 m
| 10 ft
| h
| 3 cm
| ?
| 30 ft
| L.A.
| ?
| 48m2
| 900 ft2
| S.A.
| ?
| ?
| ?
| V
| ?
| ?
| ?
|
Exit Ticket (describe how to find Lateral Area, LA,of the regular rectangular prism) :
G F
A
E
B C
Homework
Date: 2015-12-24; view: 778
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