Trigonometry Lesson Plan

By: Mahmoud Ali

OBJECTIVE

Having finished multiple exercise on sine, cosine and tangent, student will be able

to answer 15 math problems on this contact with 85% accuracy.

http://www.youtube.com/watch?v=t2uPYYLH4Zo

SET ACTIVITY CREATED

P R I O R K N O W L E D G E I D E N T I F I E D

Vocabulary: right triangle, ratio, angle, hypotenuse side, opposite side, and

adjacent side

Asking student about sin, cos, and tan

Watching a video on Trigonometry

Soh - Sine = Opposite / Hypotenuse

Cah - Cosine = Adjacent / Hypotenuse

toa - Tangent = Opposite / Adjacent

"Opposite" is opposite to the angle θ

"Adjacent" is adjacent (next to) to the angle θ

"Hypotenuse" is the long one other word for it

across from 90 degree

Lesson Input

Teacher

MODEL PowerPoint presentation

Projectors

Activity board

Calculator

Find the missing side( variable). Round to the

nearest tenth.

1.

2.

GUIDED PRACTICE PROVIDED

Find the measure of the indicated angle to the

nearest degree

4. Find angle Y?

5. Find angle C?

17x

59°

27°x

20

44

39

23

20

33

Y

From Class

I NDEPENDENT PRACTI CE

1. Find theta

2. What is the two different method of SOH-CAH-

TOA to find the missing side( variable) by the two

Example: what are the sine, cosine and

tangent of 30° ?

The classic 30° triangle has a

hypotenuse (the long side) of length 2, an

opposite side of length 1 and an adjacent

side of √3.

Checking for Understanding

These are the four steps we need to follow:

Step 1 Decide which two sides we know –

out of Opposite, Adjacent and Hypotenuse.

Step 2 Use SOHCAHTOA to decide which

one of Sine, Cosine or Tangent to use in this

question.

Step 3 Use your calculator to calculate the

fraction Opposite/Hypotenuse,

Adjacent/Hypotenuse or Opposite/Adjacent.

Step 4 Find the angle from your calculator,

using one of sin-1, cos-1 or tan-1

Closure Review on Solving Right Triangles Using Trigonometry

•Step 1: The two sides we know are Opposite (300) and Adjacent (400).•Step 2: SOHCAHTOA tells us we must use Tangent.•Step 3: Use your calculator to calculate Opposite/Adjacent = 300/400 = 0.75•Step 4 : Find the angle from your calculator using tan-1Tan x° = opposite/adjacent = 300/400 = 0.75

tan-1 of 0.75 = 36.9°.

1) Find the value of and using a

calculator round the answer to the

nearest hundredth.

HOMEWORK D I R E C T I O N S : R E A D E A C H P R O B L E M C A R E F U L LY A N D M A K E S U R E T O S H O W A L L W O R K F O R F U L L C R E D I T.

27°

x

20

2) Find the value of x and using a calculator round the answer to the nearest hundredth.

x

24

36

Find each angle and measure to the nearest degree.3) tan B = 0.6249

Materials/Technology:

Worksheets, paper, pencils, calculators, protractors, PowerPoint

Presentation and Chalk Board.

MULTIPLE INTELLIGENCES

Mathematical/logical – shows students how to solve SOH-CAH-TOA step by step.

Music – played a video on how to apply sine, cosine and tangent.

Interpersonal – group work

Bodily/kinesthetic – students moving around and post their answer on the board .

Common core Standards

Right Triangles and Trigonometry G-SRT

Define trigonometric ratios and solve problems involving right

triangles

1. Understand that by similarity, side ratios in right triangles are

properties of the angles in the triangle, leading to definitions of

trigonometric ratios for acute angles.

2. Explain and use the relationship between the sine and cosine of

complementary angles.

3. Use trigonometric ratios and the Pythagorean Theorem to solve right

triangles in applied problems.★

Thank you