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LINEAR FUNCTION

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Semi Detailed Lesson Plan
MATHEMATICS 8
I. OBJECTIVES:
At the end of the period students should be able to:
1. Illustrate a linear function
2. Graph linear function given two points and slope and a point
3. Apply the concepts of linear function in real-life situation
II. SUBJECT MATTER:
III.METHODOLOGY
A. Topic: Illustrating and Graphing a Linear Function
B. Reference: Mathematics 8 Self -Learning Module 7 ,pp 1-15
C. Instructional materials : Power point, flashcard, worksheets
A. Pre –lesson presentation

Prayer

Checking of Attendance
 through class beadle
B. Lesson Presentation

Motivation: The teacher will ask the students on what words can be form in the letters
RONLINEATCIFUN
 Hint: The first word consists of 6 letters while the second word consists of 8 letters.

ACTIVITY 1: Name Me
Divide the class into 7 groups . The group leader will assigned code number (1-7) to the group members.
Each group will identify the function shown by the teacher as linear or not .If it is linear then the group wil
sing together “taga MATH-i kami” if not they will thumbs down together.
Functions:
1. f(x) = 3x + 0 taga
2. f(x) =-5x
3. f(x) =3xy
4. f(x)= x 2+ 2x
5. f(x) =x-9

Lesson presentation:
A Linear Function is defined by f(x) = mx + b, where m and b are real numbers.
Its graph is a line, m is the slope and b is the y-intercept.The highest exponent of x is 1.
Activity 2. Board work :Create Me.the teacher will require each group to create their own linear function. The code
number called by the teacher will write their answer on the board.
 Graphing linear function
Guide questions:
1 .How to graph each linear function that passes through the given pair of points?
Show the students how to graph the given examples
 Two points (4, 3) and ( (-2, 1)
Steps: 1. Determine the two points
2. plot the points
3. connect the points
2. How to graph the equations given the slope m and a point.
Show the students how to graph the given examples above.
 Slope and one point ( m = 3/4 , 0,3)
Steps:
1.Plot the point
2. locate the slope
3. connect the points
Activity 3 :Boardwork .
The teacher will give pairs of points, a slope and point. The hands on activity will be done on the board by
code number called by the teacher.
Pairs of points:
slope and a point
1. (-1,-3 and (-2,-6)
1. m=1/2 and (2,2)
2. ( 2,4) and ( 3,5)
2. m=2/3 and ( -1,-3)
Application :Let the gopup do activity number 4 in five minutes.Refer to the rubrics provided in scoring the
activity..
Rubrics for Scoring Gruoup Activity
E. Generalization
1. What is a linear function?
2. State the different methods of graphing the linear function.
IV. Evaluation
A) Write F if the equation is a linear function, otherwise, write NF.
1. y = 3x - 4
2. x2 + y = 3
3. y = -4x
4. 2y = -6x +5
5. y-6x-4 = 0
B) Graph each linear function that passes through the given pair of points.
1. (1, 2) and (3, 4)
C) Graph the following equations given slope m and a point.
1. m = 1/2 and (0, 4)
D) Encircle the letter of your chosen answer.
In a certain Municipality, the Rural Health Unit recorded the number of Persons Under Investigation (PUI) for COVID19 starting on the first month of the implementation of community quarantine.They observed a constant increased a
shown in the table below.
Month (x)
Number of PUIs (y)
1st Month
13
2nd Month
25
3rd Month
37
4th Month
49
If pattern continues, can you predict the number of PUIs in the 7th Month?
a. Yes , the umber of PUIs in the 7th month is 85.
b. Yes the number of PUIs in the 7th mnth is 97.
c. No,because it is not stipulated in the problem.
V. Assignment
Answer additional activities on page 24 of Module 7
Prepared by:
NORHAIMA U. MASTURA – TIMOSA
Secondary School Teacher – I
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