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Bret Klopp
Professor Brown
MULTIMEDIA SUPPORT INST/LEARN
13 Sept 2013
Lesson Plan: Pythagorean Theorem and Distance Formula
Subject and Grade Level:
NE mathematics standard:
A. Student Objective(s):
Learn about the Pythagorean Theorem and distance formula and work with their equations.
B. Opening Activity:
Hand out one cut out right triangle to each student, all the same size with sides labeled A, B, and
C. Then I’d write the Pythagorean Theorem up on the board….(A^2) + (B^2) = (C^2). Then I’d
have the students take out a ruler and measure all three sides, plug the values they find into the
equation and see if it works out.
C. Developmental Activities:
Next I would explain that this equation is true for all right triangles and that as long as they have
two sides, they can calculate the length of the 3rd. Next I’d explain that the length of a side can
also be found using a variant of the Pythagorean Theorem, the distance formula. I’d hand out a
sheet of a triangle on an xy coordinate plane. I’d write out the distance formula and explain that
given two points on a coordinate plane, the distance can be found between them, which can also
be used to find the length of a side on a triangle. I’d work the first one out on the board with
them and then have them solve one on their own, then go through it together.
D. Closing Activity:
Hand out a worksheet for guided practice. I’ll walk around the room keeping the students
focused and answering questions and helping as needed. As soon as everyone is done, go over
the problems from the worksheet on the board with students’ help by raising their hands. Once
done answer any more questions, and then assign homework problems out of the textbook.
F. Materials
1. Cut out triangles
2. Worksheets for every student
Lesson Plan: Trigonometry #1
Subject and Grade Level:
NE mathematics standard:
A. Student Objective(s):
Learn about and label the unit circle.
B. Opening Activity:
First I’ll hand out a filled out unit circle to every student. I’d have them look it over and study.
Then I’d discuss what everything meant, the sine and cosine coordinates, angle and radian
measures and its relevance to trigonometry and triangles.
C. Developmental Activities:
Then I’d hand out an empty unit circle and have them put the first unit circle away. Next I’d have
to go through filling out the unit circle measure by measure, and coordinates by coordinates.
D. Closing Activity:
Hand out a blank unit circle for them to fill out on their own for guided practice. I’ll walk around
the room keeping the students focused and answering questions and helping as needed. As soon
as everyone is done, go over the problems from the worksheet on the board with students’ help by
raising their hands. Once done answer any more questions, and then assign homework problems
out of the textbook.
F. Materials
1.
2.
Unit circle sheets
Worksheets for every student
Lesson Plan: Trigonometry #2
Subject and Grade Level:
NE mathematics standard:
A. Student Objective(s):
Learn about Trig functions SOH-CAH-TOA.
B. Opening Activity:
I’d hand out a sheet with a right triangle on to all the students, all identical. Then point out the
missing values from the angles and measurement of the sides. I’d explain that the two shorter
sides are the legs and the longest side being the hypotenuse. Then I’ll explain that by identifying
the legs and the hypotenuse and the angle measures, we can use trig functions to identifying the
missing measures.
C. Developmental Activities:
Next I’d explain and identify the trig functions SOH-CAH-TOA. Then using that knowledge and
the existing measures, we’d find the missing measures. Then we’d do one or two more right
triangles and find the missing measures together as a class.
D. Closing Activity:
Hand out a worksheet for guided practice. I’ll walk around the room keeping the students
focused and answering questions and helping as needed. As soon as everyone is done, go over
the problems from the worksheet on the board with students’ help by raising their hands. Once
done answer any more questions, and then assign homework problems out of the textbook.
F. Materials
1.
2.
Right Triangle sheets
Worksheets for every student