February 9, 2017
A DETAILED LESSON PLAN IN GRADE 9 MATHEMATICS I.
OBJECTIVES At the end of one-hour Math lesson, the Grade 9 students must be able to: A. define 30 ° -60 ° -90 °
right triangle theorem
B. find the length of the indicated side using the 30 ° -60 ° -90 °
right triangle
theorem C. the test with a mastery level of 75%. II.
SUBJECT MATTER
Topic: 30 ° -60 ° -90 °
Right Triangle Theorem
Reference: Grade 9 Math Learner’s Material, pages 449-451 Materials: visual aids, chalk & chalkboard Value Focus: Accuracy III.
PROCEDURE Teacher’s Activity
Students’ Activity
1. Preliminary Activities a. Prayer To start our class, let us all stand for a prayer. b. Greetings Good morning, class. c. Checking of Attendance Say present as I call your name. d. Review How do solve right triangles?
Good morning, ma’am
Student state the rules in solving right triangles.
Very good! e. Motivation I have here an illustration, all you need to do is to label the parts, choose your answer from the choices given.
Shorter leg
Longer Leg Hypotenuse
f. Statement of the Aim
Today, our topic is all about 30 ° -60 ° -90
°
Right Triangle Theorem. At the end of
one-hour Math lesson, you must be able to (a) define 30 ° -60 ° -90 °
right triangle
theorem(b)find the length of the indicated side using the 30 ° -60 ° -90 °
right triangle
theorem(c) the test with a mastery level of
Yes, ma’am.
75%. Are you ready for our discussion? A. ACTIVITY But before we proceed, let’s have first activity. I have here a triangle, using your protractor measure the following angles of the triangle.
The students volunteer to measure each angle of the triangle. The measures of the angles of the triangle are After 5 minutes.
90o .
Okay, what are the measures of the angles that you have? Very good! B. ANALYSIS 1. Discussion
30o , 60o and
A
90o
right triangle is a
special type of right triangle where the three angles measure 30, 60 and 90 degrees.
30o , 60o and
90o . Right Triangle Theorem,
the length of the hypotenuse is twice the length of the shorter leg. And the length of the longer leg is
√3
times the shorter leg.
o
30
, 60
o
and
Let’s take this example,
30
√3
2
Shorter leg
2
60
Longer leg
1 As you can see, the side opposite of
30o
angle
is what part of a triangle?
Hypotenuse
Correct! How about the side opposite the
60o
angle?
Very good!
90o
What about the side opposite of
Bear in your minds, the
o
30
- 60
o
angle?
- 90
o
right triangle theorem.
Let us try this problem, 4 60
2 2 30
What will be the length of the hypotenuse given
√3
the length of the shorter leg? Correct! How about the longer leg?
The length of the hypotenuse is twice the length of the shorter leg. And the length of the longer
Correct!
leg is
√3
times the shorter leg.
None ma’am. C. ABSTRACTION What 30 ° -60 ° -90 °
Right Triangle
Theorem?
Do you have questions? Point to clarify? D. APPLICATION Find the value of each variable used in the figures. Valuing: In order to find the value of each variable used in the figures, you must be accurate in your answers. “Accuracy” is important.
1. 30
10 s 60
°
t 2.
30
° 60
a
b
9
IV.
EVALUATION Find the length of the indicated side using the 30 ° -60 ° -90 ° theorem. 1. q
r
60
° 6
2.
√3
30
a
°
24
right triangle
b m 3.
30
15
° n o 60
4.
° 7
r
√3
5. 30
°
V.
ASSIGNMENT
36
Find the six trigonometric ratio of 30 °
and 60 ° angle.
Prepared by: JERALYN S. OBSINA
Checked by: JOAN D. GADIANA Critic Teacher