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DETAILED LESSON PLAN IN MATH
I. Objectives:
At the end of the lesson, students are expected to:
Define the Harmonic Mean Apply the formula of harmonic mean in finding the middle term or average between
two terms of a harmonic sequence.
II. Subject Matter:a. Topic: “Harmonic Mean”b. Reference: Intermediate Algebra by Soledad - Josec. Materials: Visual Aids.
III. Procedure:
“Teacher’s Activity” “Student’s Activity”
“Let us all stand up for the opening prayer”.“You may now take your seat”. (Students will sit down)Checking of attendance… “Please raise hand (Students raise their hand and say
As I call your name”. present as their teacher calls their name)
“For this afternoon, our topic will be about Harmonic Mean”.
“Is there anyone from the class knows about the topic this (Students will raise their hands)Afternoon?”.
“Before we proceed to our discussion, let us do a little recapabout our previous lesson”. (The teacher will check will check the assignment of the and explanation will follow that will serve as a review of the previous lesson).
B. Motivation“The Mystery Sound”The teacher will play a sound and the students will try to guess what instrument produces that
sound. They are to do so by matching a picture and mount it on the manila paper.
Answer:1. Bongo 6. Steel drum 11. Trumpets2. Congo 7. cuatro3. Maracas 8. Tiple4. Claves 9. Charango5. Cabasa 10 . Panpipes
“Teacher’s Activity” “Student’s Activity”
C. Lesson Proper:Activity
The teacher will give examples of finding rithmetic mean.Find the arithmetic mean between.
1) 2 and 8 = 2, 5, 8We simply add the two terms and then divide by 2. In symbols,We have m=a+b/2
Answer:2+8/2 =10/2 = 5
2) -2 and 8 =-2, 3, 8M= -2+8/2 = 6/2 = 3
3) -5 and -13M= -5+(-13)/2 = 18/2 =-9
Analysis:The teacher will ask the students about th ff. questions:
1. What is harmonic mean?2. What is the formula for finding the harmonic mean
Between two terms?
Abstraction:The teacher will discuss about harmonic mean.
1. Harmonic mean of two numbers.2. To get the harmonic mean of two terms, we follow
The formula,H=2ab/a+b
Application
The teacher together with the students will answerThe following:
1) 1/6 and 1/12H=2(1/6)(1/2) = 2/6(1/12) =2/72 =2/72 * 12/3 = 2/18 = 1/9 16+1/12 2+1/12 3/12
2) ½ and -1/20H = 2(1/2) (-1/20) = -1/20 =-1/20 * 20/9 =-1/9 ½+(-1/20) 10-1/20
3) -2 and -2/3H= 2(-2)(-2/3) = 8/3 =8/3*3/-8 =-1 -2 + (-2/3) -6+(2)/3
Prepared by:
Hubert P. LorestoBSED-MAPEHMSEUF-Lucena City
Evaluation:
The teacher will give four exercises to the students:Answer the following:1. Find the harmonic men between:
a. 1/5 and 1/16=2/21
b. -1/8 and 1/21=2/13
c. -1/5 and -1/3=-1/4
d. 2 and ½=4/5
Assignment:
Find the harmonic mean between1.) 2 and -1/4
=-4/72.) -1/9 and 1/14
=2/73.) ½ and 4
=8/9
“Any questions class?” “None Sir”
“So there are no any questions, Melissa please,lead the prayer.”
“Goodbye class…See you on Monday” “Goodbye and thank you Mr. Loresto”