A Lesson Plan in Geometry-Villaruz
-
Upload
anette-pedroza-villaruz -
Category
Documents
-
view
91 -
download
4
Transcript of A Lesson Plan in Geometry-Villaruz
A LESSON PLAN IN GEOMETRYS.Y. 2011-2012
MARIE ANTONETTE P. VILLARUZ MARCH 31, 2012Teacher Date
I. OBJECTIVES:Through illustrative examples, the third year students with at least 85% accuracy are
expected to:a. identify the parts of a Right Square Pyramid (square base, side of the base,
triangular face, slant height and apex),b. state the formula in finding the surface area of a Right Square Pyramid,c. apply the formula by solving problems involving surface area of a Right Square
Pyramid.
II. SUBJECT MATTER:A. Topic: SURFACE AREA OF A SQUARE PYRAMIDB. Pre-requisite skills/topic: AreaC. Materials: LCD, PowerPoint PresentationD. References:
Bernabe, Julieta G. et. al. Geometry, Revised edition. SD Publications, Inc. Quezon City. 2009.Conception, Maria Jennifer A. et. al. Essential Mathematics: Geometry. Phoenix Publishing House, Incorporated. Quezon City. 2006.Tamayo, Cecile T. et. al. Generation XY: Geometry. Sunshine Interlinks Publishing House, Incorporated. Quezon City. 2006.
E. Values Integration: The need to be independentF. Methodology: EXPOSITORY METHOD
III. PROCEDURE:A. Approach:
A problem will be presented to the class: Lovely wants join the Summer Youth Camp and she needs to buy a tent.
She went to the mall and saw different kinds of tents. The following pictures will be shown on the screen
But she found out that the price is too expensive and she cannot afford to buy one of those. So, she decided to make her own tent similar to that. She gets the size of the tent but she doesn’t know how much fabric she needs to buy to cover the whole tent. What should lovely do?
She needs to calculate the surface area of the tent
Note: The shape of the tents is a square pyramid. So, she will need the formula in finding the surface area of the square pyramid.
B. Presentation:SURFACE AREA OF A SQUARE PYRAMID
Definition of terms:• SURFACE AREA – the sum of the areas of the outer surfaces of a solid.• LATERAL FACE - the polygonal surface making up the sides of a solid.
Parts of the Square Pyramid
• APEX – the topmost point of the pyramid• FACE – a flat polygonal surface of the pyramid• BASE – the bottom part of the pyramid• HEIGHT – the length from the base to the apex• SLANT HEIGHT – the altitude of the lateral face of the pyramid
Derivation of the formula for finding the Surface Area of a Square Pyramid
SA = + + + +
= + + + +
= +
Illustrative examples:1. Find the surface area of a square pyramid with base of side 3 cm and
slant height of 5 cm.Given:
Solution:
2. Find the surface area of the following figure.
Given:
Solution:
3. The third year students are constructing a square pyramid for their project. They plan to cover it with manila paper. If the side of the base of the pyramid measures 2.2 meters and the height of each triangular face is 1.9 meters, what size of manila paper will be needed to cover all the faces of the pyramid?
Given:
Solution:
C. Application:The following practice problems will be answered through a game called “Who
Wants to be a Millionaire?”1. Find the surface area of a square pyramid with a base of 4.2 cm and slant height
of 7cm.2. Find the surface area of a pyramid with a square base if the length of the sides
of the base is 1.4 meters and the height of the triangular face is 1.9 meters.3. Find the surface area of the figure at
the right.
GENERALIZATION: What are the parts of a square pyramid?
What is the formula in finding the surface area of a square pyramid?
IV. EVALUATION:
Directions: Solve the following problems and round the answer to the nearest hundredths.
1. Find the surface area of the square pyramid with a slant height of 12 cm and side of the base is 9cm.
2. Find the surface of the pyramid below.
3. If the surface area of a square pyramid is 50 square units and the area of its base is 25 square units, find the height of its triangular face.
V. ASSIGNMENT:
Directions: Solve the following problems and round the answer to the nearest hundredths.
1. If the area of the triangular face of a square pyramid is 17.5 square meters and the perimeter of the base is 20 meters. Find the surface area of the pyramid.