SEMI-DETAILED LESSON PLAN IN GENERAL MATHEMATICS 11
Content Standards
Performance Standards
Code
Learning Competency
I.
II.
III.
The learner demonstrates understanding of key concepts of
inverse functions, exponential functions, and logarithmic
functions.
The learner is able to apply the concepts of inverse functions,
exponential functions, and logarithmic functions to formulate and
solve real-life problems with precision and accuracy.
M11GM-Id-2
The learner…
1. Determines the inverse of a one-to-one function.
OBJECTIVES
Within the 60 – minute session, the students are expected to learn with at least
75% level of accuracy to;
a) define what is inverse function;
b) Solve problems involving inverse function;
c) relate inverse function in real-life situation.
Subject Matter
Topic: Inverse of One-to-One Functions
Reference: Lesson 10: Inverse of One-to-One Functions. (2016)
Teaching Guide for Senior High School General Mathematics (pp 69-75).
Instructional Materials: Ppt Presentation, Manila Paper, Pilot Pen
Procedure
A. Preliminary Activities
1. Prayer
2. Greetings
3. Checking of Attendance
4. Review (2 minutes)
To determine if the students understood the previous topic, the teacher will flash the
following expressions in the slide and select the students to answer.
𝑿 −𝟓
𝟐
1. F(x) = X – 4
4. F(x) =
2. F(x) = 𝑿𝟑 + 3X
3. F(x) = 𝟐𝑿𝟐 – 6
5. F(x) = |𝟐𝒙|
B. Developmental Activities
1. Motivation (3 minutes) Arrange Me!
The teacher will present the jumbled letters in the screen and this will be arrange
accordingly by the students.
ENIMRETED EHT ESREVNI FO A ENO-OT-ENO NOITCNUF
2. Presentation of Topic and Lesson Objectives (2 minutes)
The Teacher will introduce the topic to the students and students will read the lesson
objectives.
C. Lesson Proper (20 minutes)
1. Analysis and Discussion
The teacher will discuss the topic and give some examples. Some examples will be
answered by the students.
2. Application (10 minutes)
The teacher will group the students into two and assigned each group different task and
different mode of reporting.
Group 1: Oral Presentation
Group 2: Audio Presentation
Group 1 Rubrics
CRITERIA
COOPERATION
ORGANIZATION
TIME FRAME
ORAL
PRESENTATION
TOTAL
Group 2 Rubrics
CRITERIA
COOPERATION
ORGANIZATION
TIME FRAME
AUDIO
PRESENTATION
TOTAL
•
•
•
•
IV.
5
4
3
2
1
5
4
3
2
1
3. GENERALIZATION (7 minutes)
The teacher will ask the students about their learnings of the topic using the following
questions flash on screen.
What is inverse function?
What are the steps in finding the inverse of a one-to-one function?
How can we say that a function is one-to-one or not one-to-one function?
What is the importance of inverse function in real life situation?
Evaluation (10 minutes)
The teacher will give the students a post assessment and write it in a 1⁄2 crosswise.
Direction: Find the inverse function of the following:
1. 𝑓(𝑥) = 3𝑥 − 2
𝑥+1
2. 𝑔(𝑥) = 5
3. 𝑓(𝑥) = 𝑥 2 + 3𝑥 + 1
4. 𝑔(𝑥) = |5𝑥|
5. 𝑓(𝑥) = 𝑥 3 + 2
V.
Assignment
The teacher will instruct the students to write the assignment in their activity notebook.
Direction: Prove that the inverse of a linear function is also linear and the two slopes are
reciprocals of each other.
Prepared by:
MARIO JR O. VILLARTA
Applicant