NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
Time
Frame
Unit Topic
Content
Standards
Performanc
e Standards
Learning
Competencies
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
Assessment
Activities/
Strategies
Resources
Institutional
Core Values
FIRST QUARTER
PATTERNS
AND
ALGEBRA
WEEK
1
The
learners….
demonstrates
understanding
of key
Module No.
concepts of
1: Quadratic
quadratic
Equations
equations,
and
inequalities
Inequalities
and functions,
and rational
algebraic
Lesson 1
equations.
Illustrations
of Quadratic
Equations
The
learners….
is able to
investigate
thoroughly
mathematical
relationships
in various
situations,
formulate
real-life
problems
involving
quadratic
equations,
inequalities
and
functions,
and rational
algebraic
equations
and solve
The learners….
Pre-Assessment:
Written Diagnostic test
(Teacher-Prepared Test)
Grade 9 Learning
Materials PDF
pp.11-18
Formative Assessment:
1. Illustrates
quadratic
equations.
Graphing
1.Creating and
analyzing graphs
representing
quadratic equations
MAKATAO
( It helps
the
students to
be able to
be careful
on their
actions
through
evaluation
on their
performanc
e.Be able
to discern
what is
good and
what is
right.)
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
Lesson 2A
Solving
Quadratic
Equations by
Extracting
Square Roots
Lesson 2B
Solving
Quadratic
Equations by
Factoring
Lesson 2C
Solving
Quadratic
Equations by
Completing
The Square
Lesson 2D
Solving
Quadratic
Equations By
Using The
Quadratic
Formula
them using a
variety of
strategies.
2. solves
quadratic
equations by: (a)
extracting square
roots; (b)
factoring; (c)
completing the
square; and (d)
using the
quadratic
formula.
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
Seat work and Board work
(problem solving)
Oral recitation (defending
and explaining answers)
2.A. Find my Roots
2.B. What made
me?
Quiz
Group Activity
(Presentation)
Seat work (Solving
exercises)
Brainstorming and
reporting by group
2.C. Make it perfect!
(Problem-Solving)
Grade 9 Learning
Materials PDF
pp.19-53
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
Group Quiz (Solving
problems)
2.D. Is the Formula
Effective? (Problem
Solving Exercises)
Peer-teaching
WEEK
2-3
Lesson 3
The Nature
of the Roots
3. characterizes
the roots of a
quadratic
equation using
the discriminant.
Frayer Model of Equation
Individual Activity
Seatwork and board work
(by pair)
By pair,
collaborative
approach
MAKATAO
and
MAKABAY
AN( with
these
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
of a Quadratic
Equation
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
Oral recitation (defending
and explaining anwers)
Inductive Approach
Quiz (Lesson 2C- 3)
Lesson 4
The Sum and
the Product of
Roots of
Quadratic
Equations
Lesson 5
Equations
Transformable
to Quadratic
Equations
4. describes the
relationship
between the
coefficients and
the roots of a
quadratic
equation.
Group activity (3 members)
✓ Problem solving
✓ Presentation
Problem-based
learning
lessons, it
needs the
collaboratio
n and help
of peers, a
modern
bayanihan
in
education.)
Reporting
Inductive approach
Seat work and board work
(Problem solving)
5. solves
equations
Seat work and board work
transformable to
quadratic
equations
Oral recitation
(including rational
algebraic
equations).
Quiz (lesson 4 and 5)
Proble Solving
Problem solving
Strategy
Explaining answers
MAKATAO
(Promote
reliability
with
regards to
their
mathemati
cal skills.
Helps other
learners to
learn
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
WEEK
4
Lesson 6
Solving
Problems
Involving
Quadratic
Equations
6. solves
problems
involving
quadratic
equations and
rational algebraic
equations.
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
Seat work (Problem
Solving , exercises)
Group Activity (problem
solving)
Individual
Problem Solving and
presentation of
answers
(Collaborative
approach)
through
collaboratio
n, enhance
critical
thinking
skills and
discernmen
t that allow
the
learners to
be
responsible
in every
step they
took while
solving and
can apply it
to real-life
situations.)
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
WEEK
5
Lesson 7
Quadratic
Inequalities
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
7. illustrates
quadratic
inequalities
7. Graphing
7. Illustrating
inequalities
8. solves
quadratic
inequalities.
8. Seatwork and Board
work (problem solving)
8. Answering and
sharing how to solve
the problem
9. solves
problems
involving
quadratic
inequalities.
9. Written exercises (solve
problems) with
explanation/presentation
9. By pair activity,
learners will answer
the given problems.
Justify their answers
through reasoning.
Quiz (lesson 6 and 7)
Individual
Grade 9 Learning
Materials PDF
pp.104-113
.
MODULE 2:
Quadratic
Functions
Pre-assessment:
Pre-test
Formative assessment:
Grade 9 Learning
Materials PDF
pp.114- 134
MAKADIYOS ( It
makes us
realize that
life is not
fair,
however, i
is up to us
how to
overcome
our fears
as well as
problems
with the
help of our
Lord. Our
Lord is like
the
formula
and the
equation
we used to
determine
the
inequalities
and
equation,
all we need
to do is to
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
WEEK
6
Lesson 1
Introduction
to Quadratic
Functions
10. models reallife situations
using quadratic
functio
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
10. Group Activity
take
actions.
“Nasa
Diyos ang
awa, nasa
tao ang
gawa” )
10. Recreational
Activities
11. represents a
11.1. Remembering?
quadratic function Recalling
using: (a) table of
values; (b) graph;
and (c) equation. 11.2. Collaboration
11.3 . Identify Me!
(seatwork)
11.1 Rote Learning
11.2 Relational
Approach
11.3 individual
Assessment
Quiz (lesson 1)
WEEK
7-8
Lesson 2
Graphs of
Quadratic
Functions
12. transforms
the quadratic
function defined
by y = ax2 + bx
+ c into the form
y c = a(x – h)2
+ k.
13. graphs a
quadratic
function: (a)
domain; (b)
12. Seatwork
12. Work in pairs
12.1. Matching Type
12.1. Individual
Assessment
13. Draw the Graph
13.Collaborative
approach (Creating
Grade 9 Teachers
learning Guide
pp. 79-119
MAKABAY
AN ( It
promotes
critical
thinking
skills
especially
in
analyzing
situations
that builds
a
productive
citizen in
the
future. )
MAKATAO
(Foster
strong peer
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
Lesson 3
Finding the
Equation of
Quadratic
Function
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
range; (c)
intercepts; (d)
axis of symmetry;
(e) vertex; (f)
direction of the
opening of the
parabola.
13.1. Board Work and
explanations
graphs out of the
given functions. )
14. analyzes the
effects of
changing the
values of a, h and
k in the equation
y = a(x – h)2 + k
of a quadratic
function on its
graph.***
14. Written Work
(Determining the domain,
range, intercepts and axis
of symmetry)
Work in Pair
Activity 1: Draw
and Describe Me
(answer and
explain)
14.1. Presentation of
answers
14.2. Seat woek
Individual Activity
Activity 2: Match or
Mismatch
One or two learners
will present their
solution
relationship
especially
in helping
each other
in solving
theproblem
-solvingg
exercises.
Strenthen
unity and
kindness.
As well as,
practices
ourpatienc
e in
solving.
Learners
are able to
manifest
the
importance
of patience
in solving
problems
not just
theoreticall
y but also
in real-life
situations.
)
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
- 2 WEEKS
15. determines
the equation of a 15. Oral Recitation
quadratic function
15. Rote Learning
given: (a) a table 15.1 Recitation/ board work
of values; (b)
15.1 Individual
graph; (c) zeros.
Problem Solving,
sharing of insignts
and solving
WEEK
9
Lesson 4
Applications
of Quadratic
Functions
16. solves
problems
involving
quadratic
functions.
16. Group Activity
Reporting and presentation
Review for finals
TOTAL:
2
months
and 1
week
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
Brainstorming,
collaboration and
presentation of
group topics.
Oral recitation
SUMMATIVE
ASSESSMENT
Individual Output
GRASPS: Little Book
By pair ( learners
will ceate a little
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
LEGEND:
- 1 WEEK (5 meetings)
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
book or mini book
with the
summarization of
the content of all
lessons in the first
quarter.
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
Time
Frame
Unit Topic
Content
Standards
Performance
Standards
Learning
Competencies
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
Assessment
Activities/Strategie
s
Resources
Institutiona
l Core
Values
SECOND QUARTER
PATTERNS AND
ALGEBRA
MODULE 3:
Variations
Lesson 1
Direct Variations
Lesson 2
Inverse Variations
The
learners…
The learners...
demonstrates
understanding
of key
concepts of
variation and
radicals.
is able to
formulate and
solve
accurately
problems
involving
radicals.
The learners….
Activity 1: Crossword
Puzzle
17.illustrates
situations that
involve the
following variations:
(a) direct; (b)
inverse; (c) joint;
(d) combined.
18.translates into
variation statement
a relationship
between two
Students will encircle
the words they found
in the puzzle related
to the lesson and
share their insights.
Formative
Assessment
✓ 17. Oral
recitation
✓ 17.1 Seat work
(solving
exercises)
Lesson 3
Joint Variations
Lesson 4
Combined
Variations
Pre-Assessment:
1. Diagnostic Test
(paper and pen test)
17. Individual
sharing of insights
and experiences
17.1 Problem-Solving
Strategy
18. Translates the
statements.
Grade 9
Teachers
Guide
pp. 122-153
MAKATAO
(helps
students to
be aware of
the
consequence
s of every
action they
are going to
do in the
future. Allow
learners to
be vigilant
and consider
other’s
feelings.
Practice
discernment
and
decisionmaking
skills. As
well as, to
learn
independentl
y and
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
LEGEND:
- 1 WEEK (5 meetings)
quantities given by:
(a) a table of
values; (b) a
mathematical
equation; (c) a
graph, and vice
versa.
19.solves problems
involving variation.
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
✓ 18. Board work
and oral
recitation
✓ 18.1 Graph
Analysis
collaborative
ly.)
18.1 Integration of
Technology/Introduci
ng Desmos by the
teacher
Individual
✓ 19. Quiz
✓ Performance
task: Creating
and Solving
Create and solve own
real-life problems
(political, economic,
social and
environmental,
educational) in
relation to variations.
MAKABAYA
N (In
learning this
module, he
learners will
be able to
recognize
the use of
variations in
real-life
especially in
the
government
and be
knowledgea
ble on what
is happening
in our
country and
provide
possible
solutions
and
insights.)
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
LEGEND:
- 1 WEEK (5 meetings)
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
MAKAKALI
KASAN
(after this
quarter, the
learners will
be able to
recognize
the cause
and effects
of human
behavior in
the
environment
and, uses
the
knowledge
and
understandi
ng they
learned in
dealing real
life problems
they can
handle.
Learners are
also
encouraged
to use
recyclable
materials in
their
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
performance
tasks).
MODULE 4:
Zero, Negative,
Rational
Exponents and
Radicals
PRE-ASSESSMENT:
Group Activity-
Review on the Laws
of
Exponents( problem
solving and
presentation)
KWL chart
Collaborative
Approach and
problem-solving.
Sharing and
presentation of
answers.
Grade 9Teachers
Guide
pp. 164-167
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
WEEK
3
Lesson 1
Zero, Negative
Integral and
Rational Exponent
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
FORMATIVE
ASSESSMENT:
20. applies the laws
involving positive
integral exponents
to zero and
negative integral
exponents.
20. Group activity
(information
exchange activity)
20. Activity 1:
Remember me This
Way!
Each group will be
assigned to a certain
topic as well as
handouts. One
member will roam
around to explain
their topic to other
groups.
21.illustrates
expressions with
rational exponents.
21. Oral
recitation/board
work
21. Answering
questions of the
teachers, solving
examples and
exercises, activities,
individually and by
partner.
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
LEGEND:
WEEK
4
- 1 WEEK (5 meetings)
22. simplifies
expressions with
rational exponents.
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
22. Seatwork by
pair and board
work (activities
and exercises)
22. Activity 2: Agree
or disagree
22.1 Activity 3: Play
With Negative
22.2 Activity 4:
Extend Your
Understanding!
Problem Solving
Strategy
Completion of
KWL chart
Quiz
Individual
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
PRE-ASSESSMENT:
Individual activity-IRF
sheet and sharing.
Lesson 2
Radicals
Grade 9Teachers
Guide
pp. 175-189
FORMATIVE
ASSESSMENT:
23. writes
expressions with
rational exponents as
radicals and vice
versa.
23. Board work
23. Writing
expressions in the
board and
presentation of
answer
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
LEGEND:
- 1 WEEK (5 meetings)
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
23.1 Group
activity (Group
Quiz Bee)
23.1 Collaborative
approach
The first group will
have a representative
to write the answer
on the board. The
first one to finish
writing with correct
answer will gain one
point.
WEEK
5
WEEK
6
24. derives the laws
of radicals from the
laws of rational
exponents.
25.simplifies radical
expressions using
the laws of radicals.
24. Seatwork and
board work
(answering
exercises and
activity,
individually and as
a class with the
guide of the
teacher.)
25. Group Activity
(Problem solving,
presentation)
24. Deductive
Approach
25. Problem solving
learning
25.01 Collaboarative
approach
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
LEGEND:
- 1 WEEK (5 meetings)
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
25.02 Peer-teaching
WEEK
7
26.performs
operations on
radical
expressions.***
26. Problem
26. Problem Solving
solving- worksheet learning
(by pair)
Completion of IRF
sheet
✓ Transfer Task
(Individual)
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
- 1 WEEK (5 meetings)
LEGEND:
WEEK
8
Lesson 3
Radical Equations
and its Application
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
PRE-ASSESSMENT:
Jumbled Letters
Activity
FORMATIVE
ASSESSMENT:
27.solves equations
involving radical
expressions.***
WEEK
9
28. solves problems
involving radicals.
Class participation:
✓ 27. Seatwork
and board
work
(answering
sets of
problems or
exercises,
individually
and by pair)
27.1 Problem Solving
Learning
✓ 28. Oral
Recitation and
solving
problems on
the board
28. Reasoning and
justification
✓ 28.1 Concept
Map/Graphic
organizer
28.1 Summarizing
the key concepts of
solving equations
and problems
involving radicals
Collaborative
Approach
NAME OF THE TEACHER: Sabado, Languido, Frondoza, Apostol, Perez, Buscano, Ocay, Ricaborda, Buscano, and Amorin
SCHOOL:
Ipil National High School
LEGEND:
- 1 WEEK (5 meetings)
SUBJECT AND GRADE LEVEL: MATHEMATICS GRADE 9
QUARTER: 1ST AND 2ND QUARTER
- 2 WEEKS
Inductive Approach
Long Quiz
From Lesson 2-3
Review for Finals
Group quiz/game
TOTAL:
SUMMATIVE
ASSESSMENT
Individual
2
months
and 1
week
GRASPS:
SCRAPBOOK
By Group (scrapbook
about real-life
applications of
variations and
radicals)