A Detailed Lesson Plan in Geometry

I. Objectives:At the end of the discussion, the students must be able to:

Solve for the surface area of regular pyramids. Derive a formula for finding the surface area of a regular pyramid. Identify the parts of a pyramid.

II. Subject Matter: Surface areas of regular pyramidReference: BigIdeasMath.com

III. Procedure:

Teachers ActivityStudents Activity

Good Morning everyone!

Have you already eaten your breakfast?

Very Good! Now that you already have energy and we have a really nice weather today, I guess its a nice time for us to travel.

Is everyone excited?

I. REVIEW

Okay, I will divide the class into 4 groups and each group will visit a different place.

(The teacher divides the class according to seating arrangement)

But, to be able to go to places, each group will need a passport. Each group will have one if they will be able to answer a question I will be asking. The group will have one representative. The representative, who raises his /her hand first on my cue, will have the chance to answer the question. If one group answered wrong, the other group still have a chance to answer it.

Okay, lets start. What is the formula for finding the area of a triangle?

That is correct! Very Good. (The representative of the group who answered the question correctly will go in front)

The second question would be: What is the formula for finding the area of a square?

That is also correct! (The representative of the group who answered the question correctly will go in front)

The third question would be: What is a regular polygon?

Correct! (The representative of the group who answered the question correctly will go in front)

For the last group, describe a pyramid.

Correct! And the combination of the areas of the triangles on its sides plus the area of the shape on its base is called the surface area.

(The representative of the last group will go in front and the teacher will give them an information sheet and a pyramid net)

II. ACTIVITY

Okay. Now, that all groups has their passports. The task is to find the surface area of your corresponding pyramid and at the end of the activity; you should have a formula in finding the surface area of a pyramid. The first group who return first from the travel is the first group who will complete the activity and will have a prize.

Is everything clear?

So class, Bon Voyage!

Group 1: Pyramid of Giza in Egypt ( side of base = 230 m, height of triangle = 186 m)

Group 2: Muttart Conservatory in Edmonton (side of base = 26 m, height of triangle = 27 m)

Group 3: Louvre Pyramid in Paris (side of base = 35 m, height of triangle = 28 m)

Group 4: Pyramid of Caius Cestius in Rome (side of base = 22 m, height of triangle = 29 m)

The teacher will ask if the other 3 groups got the same formula.

III.DISCUSSION

You still have the pyramid net with you, right? Look at those net. The triangles are called the lateral faces of the pyramid. The height of each triangle is called the slant height of the pyramid.

The square in those net is called a base. The Cheops, Louvre, Caius Cestius and Muttart Conservatory Pyramids are examples of a regular pyramid. Do you have any idea why is it called a regular pyramid?

Correct! Do you think there are other possible bases for a regular pyramid? What are these?

IV.GENERALIZATION

Since a regular pyramid can have any regular polygon as a base, what can be our general formula for the surface area of a regular pyramid? Good Morning Madam!

Yes.

Yes!

Okay Madam.

A = . The area of a triangle is equal to the product of its base and height divided by two.

The area of a square is equal to the square of its side of A = .

A regular polygon is a polygon which has equal sides.

A pyramid is a solid figure which has triangles on its sides.

Yes.

The surface area of the Cheops Pyramid in Egypt is _______. The formula that we got is SA = A (square) + 4A (triangles).

The surface area of the Muttart Conservatory in Edmonton is _______. The formula that we got is SA = A (square) + 4A (triangles).

The surface area of the Louvre Pyramid in Paris is _______. The formula that we got is SA = A (square) + 4A (triangles).

The surface area of the Caius Cestius in Rome is _______. The formula that we got is SA = A (square) + 4A (triangles).

The first group who finished the activity will share their findings and the formula they have.

It is called a regular pyramid because its base is a regular polygon which is a square.

Yes. The base can be a regular hexagon, regular pentagon and many others.

SA = A of the Base + A of the Lateral Faces

IV. Evaluation. Get a one-half sheet of paper and find the surface area of the following pyramids.

V. Assignment

A roof is shaped like a square pyramid. One bundle of shingles covers 25 square feet. How many bundles should you buy to cover the roof.