MATHEMATICS RESOURCE PACKAGE
QUARTER I
Week 5
Subject:
GENERAL
MATHEMATICS
Date:___________
Grade Level: 11
Day: 2 (Review/Exam)
Content Standard
The learner demonstrates understanding of key concepts of rational
functions.
Performance
Standard
The learner is able to accurately formulate and solve real-life problems
involving rational functions.
Learning
Competency
Review/Exam
I. OBJECTIVES
Knowledge:
Identifies the steps in solving problems involving rational functions,
equations, and
inequalities;
Skills: Solves problems involving rational functions, equations, and
inequalities;;
Affective: Develops perseverance in solving problems involving rational functions,
equations, and inequalities.
II. CONTENT
Lessons 9 –Lesson 11
III. LEARNING RESOURCES
A. References
1. Teacher’s
Guide Pages
2. Learner’s
Materials
Pages
3. Textbook
Pages
4. Additional
Materials
5. Learning
Resources
(LR) portal
B. Other Learning
Resources
TG for SHS General Mathematics, pp. 50-75
LM in General Mathematics, pp. 64-85
Evaluation Sheet (Worksheet)
Teacher’s Guide and Learner’s Material
IV. PROCEDURES
A. Reviewing or
Prepared by: Mercyditha D. Enolpe
SHS Teacher (JMLMHS)
Review Lessons 9 through 11
MATHEMATICS RESOURCE PACKAGE
presenting the
new lesson
B. Establishing a
purpose for the
lesson
C. Presenting
examples of the
new lesson
D. Discussing new
concepts and
practicing new
skills #1
E. Discussing new
concepts and
practicing new
skills #2
F. Developing
Mastery
G. Finding practical
applications of
concepts and
skills in daily
living
H. Making
Generalizations
and abstractions
about the lesson
I.Evaluating learning
J. Additional
Activities for
application or
remediation
V.
REMARKS
VI.
REFLECTION
A. No. of learners who
earned 80% in the evaluation
B. No. of learners who
require additional activities
for remediation
C. Did the remedial lessons
work? No. of learners who
have caught up the lesson
D. No. of learners who
continue to require
remediation
E. Which of my teaching
Prepared by: Mercyditha D. Enolpe
SHS Teacher (JMLMHS)
A. ____ No. of learners who earned 80% in the evaluation
B. ____ No. of learners who require additional activities for
remediation
C. Did the remedial lessons work? _____ No. of learners who
have caught up the lesson.
D. ___ No. of learners who continue to require remediation
Strategies used that work well:
___ Group collaboration
___ Games
___ Poweerpoint
MATHEMATICS RESOURCE PACKAGE
strategies worked well? Why
did these work?
F. What difficulties did I
encounter which my principal
and supervisor help me
solve?
G. What innovation or
localized I used/discover
which I wish to share with
other teacher?
Prepared by: Mercyditha D. Enolpe
SHS Teacher (JMLMHS)
presentation
Answering preliminary activities/exercises
___ Discussion
___ Differentiated Instruction
___ Case Method
___Role Playing /Drama
___ Think-Pair-Share (TPS)
___ Doscivery Method
___ Rereading of Paragraphs/Poems/Stories ___ Lecture Method
Why?
___ Complete Ims
___ Availability of Materials
___ Pupil’s eagerness to learn
___ Group member’s cooperation in doing their tasks
___ Bullying among learners
___ Equipment (AVR/LCD)
___ Learner’s behavior/attitude
___ Science/Computer/Internet Lab
___ Colorful Ims
___ Additional Clerical Works
___ Unavaailable Technology
___ Reading Readiness
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EVALUATION
Lessons 9-11 (Topic Test 1)
1. True or False
a. A linear function is a one-to-one function.
1
b. The inverse of y = 𝑥 𝑖𝑠 𝑦 = 𝑥.
c. The graph of the inverse of a function can be obtained by reflecting the graph of the function along
y = x.
2. Identify if the following are one-to-one functions or not .
a. People to their birthdays.
b. People to their Social Security System number.
c. People to their place of residence.
3. Which of the following functions have an inverse function? If so, find its inverse.
a. f (x) = 𝑥 3 − 1.
b. g (x) = √𝑥 − 3
c. p (x) = 𝑥 2 − 2
d. q (x) = |𝑥 − 3|
3
e. r(x) = 𝑥−1
4. Skeche the graph of the inverse of the function f(x) = √𝑥 + 3.
Lessons 9-11 (Topic Test 2)
1. Find the inverse of the following functions:
a. f(x) = 7x + 4
b. g(x) = (𝑥 − 3)3
2. Find the domain and range of the inverse of f(x) =√𝑥 + 3.
12𝑥+5
3. Find the asymptotes of the inverse of q(x) = 6−4𝑥.
4. At what point/s do the following functions and their inverses intersect?
a. f (x) = 3x -8
b. g(x) = √𝑥 + 2
c. h(x) = 𝑥 3
Prepared by: Mercyditha D. Enolpe
SHS Teacher (JMLMHS)
MATHEMATICS RESOURCE PACKAGE
Prepared by: Mercyditha D. Enolpe
SHS Teacher (JMLMHS)