LESSON PLAN
Name of teacher: Dr R K Katiyar, TGT Maths, KV IIT Kanpur
Class
Level: 10th
Title
of Lesson: Introduction to Trigonometry
Content
Areas: Maths/Trigonometry
Timeline:
Five Periods (40 minute periods)
Objective - How can we use trigonometry to solve day to
day problems?
Learning
Outcomes:
·
Understands and demonstrates
the use of a technology interventions like Alice in teaching and learning of
Mathematics.
·
Is capable of working on
Alice software using the right
procedures and mathematical variables.
·
Gives examples of where trigonometry used in
life.
·
Demonstrates correct usage of
procedure
·
Demonstrates an understanding
of the trigonometric function
·
Applies principles to new
situations.
·
Solves simple triangle problems
using the triangle angle sum property, and/or the Pythagorean Theorem
·
Creates solvable problems that
use trigonometric functions and the surroundings.
Materials/Technology
Required: Alice software -3.1.60 loaded on systems , worksheets,
paper, pencils, calculators, rulers, protractors, meter sticks, string,
miscellaneous objects around classroom/outdoors.
Prerequisites: Students must know
·
basic functions, basic triangle
knowledge- right angles, triangle sum property, Pythagorean theory.
·
how to work on Alice
Description
of Plan: To give a brief introduction covering the basic concepts, and have
students fill in the blanks on their worksheet as the follow along with the
lesson. I hope that this approach will help the students maintain focus.
Moreover, ideally the students will enjoy creating their own acronym and
helping other members in their group. The students will utilize the string and
protractors to construct triangles before calculating the trigonometric ratios
for the interior angles. The Alice presentation will be shown to the students.
The students will be stimulated on
seeing the Alice world of solving a real world problem logically and will work
on the activity detailed below.
Construct some special triangles and evaluate their trigonometric
ratios
·
Cut two pieces of string to identical lengths.
·
Use a protractor to connect the strings at right angles on your paper in
the space provided on the next page.
·
Draw a line that connects the other ends of the strings. Now we have a
right triangle. Draw lines in place of the strings so you can review what the
triangle looks like later.
·
You know that one of the interior angles is 90˚, use your protractor to
measure the other two. Put their values on the triangle that you drew.
·
Say the length of each piece of string is 1 unit. Use the Pythagorean
Theorem to calculate the length of the hypotenuse. Keep your answer in radical
form, and label your triangle accordingly. Now, it can be hard to measure an
angle exactly using a protractor but lets see what answers everyone got. If you
were very careful in measuring then you probably found that the triangle was a
45˚, 45˚, 90˚ triangle. And that’s for everyone’s triangle even though they are
not all the same size! How does your triangle compare with your neighbours ?
Hint: The word I want begins with an “s”, these are “s______ triangles”. Use
these very precise angles , and the hypotenuse that you calculated above for
the following problem. Remember that each side of the triangle has length 1.
Use the trigonometric ratios to calculate sin 45˚, cos45˚ and
tan45˚.
Other interesting Activities
·
Teacher gives students a
pneumonic device to help them remember definitions: PANDIT
BADRI PRASAD HAR HAR BOLE (Sine: Perpendicular/Hypotenuse, Cosine:
Base/Hypotenuse, Tangent: Perpendicular/Base). The pneumonic allows
students to remember the definitions of the trigonometric functions.
Students will come up with own phrases that match the pneumonic to help them
remember if necessary…Teacher asks if anyone can think of a good phrase to go
along.
· Teacher demonstrates to students how to do the
functions using their calculators.
· Students do practice problems
with the worksheet “PANDIT BADRI PRASAD HAR HAR BOLE ”.
Students can work in groups.
Assignment
As a follow up of the teacher interaction in trignometry the students
will form teams ,select a real world problem and solve it with the knowledge of trigonometric functions.
They will also depict the same in project based on Alice.
Assessment:. The main forms of assessment will be the quiz on basic angles and
evaluation of the Alice project using
rubric.
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