Grade: 11 Semester: 1st Semester_
Core Subject Title: PRE-CALCULUS No. of Hours/Semester: 80 hours/semester
Prerequisites (If needed):
Subject Description: At the end of the course, the students must be able to apply concepts and solve problems involving conic sections, systems of
nonlinear equations, series and mathematical induction, circular and trigonometric functions, trigonometric identities, and polar coordinate system.
Culminating Performance Standard:
What to Teach? Why Teach? How to Assess? How to Teach?
Learning Competencies Highest Thinking Skills to Assess
Highest Enabling Strategies to
Use in Developing the Highest
Most Thinking Skills to Assess
Performance
Content Content Essentia Flexible
Standards
Standards l Topics assessment
KUD KUD
activities (FAA)
Classi Classi RBT
Complete Most Essential Flexible
ficatio ficatio Level Enabling
Performance Learning
n n General
Check(s) Strategies
Strategy
(FLS)
The learners The learners The Learners: The Learners:
1.1 illustrate the 1.1 illustrate the Independenc
demonstrate shall be
different types of different types of e reading:
an Types of able to...
conic sections: conic sections: Quiz as
understandin Conic K K Understanding Representation
parabola, ellipse, parabola, ellipse, Understandi
g of... Sections circle, hyperbola, circle, hyperbola, ng
Analytic model and degenerate and degenerate Question
Geometry situations cases.*** cases.***
key concepts appropriately
1.2 define a circle. K Make a graph Individual
of conic and solve Representation
sections and problems in using given answering
Circle 1.2 Define the K Remembering Problem
systems of accurately 1.3 determine the data to form a the question
K circle to form a Solving
standard form of circle. with teacher
nonlinear using conic
equations
equation of a
circle
1.4 graph a circle
in a rectangular U standard comments
coordinate system equation to make for
1.5 define a a graph. improvemen
K Individual
parabola
1.6 determine the
answering
1.3 Define the
standard form of Make a graph the question
K parabola to form Representation
equation of a in using given with teacher
Parabola a standard K Remembering Problem
parabola data to form a comments
equation to Solving
1.7 graph a parabola for
parabola in a make a graph. improvemen
D
rectangular t.
coordinate system
1.8 define an
K Individual
ellipse
1.9 determine the answering
1.4 Define the
standard form of Make a graph the question
K ellipse to form a Representation
equation of an in using given with teacher
Ellipse standard K Remembering Problem
ellipse data to form a comments
equation to make Solving
sections and 1.10 graph an ellipse. for
ellipse in a a graph. improvemen
systems of D
nonlinear rectangular t.
equations coordinate system
1.11 define a
K Individual
hyperbola
1.12 determine
answering
1.5 Define the
the standard form Make a graph the question
K hyperbola to Representation
Hyperbol of equation of a in using given with teacher
form a standard K Remembering Problem
a hyperbola data to form a comments
equation to make Solving
1.13 graph a hyperbola. for
hyperbola in a a graph. improvemen
D
rectangular t.
coordinate system
1.14 recognize the
equation and 1.6 Recognize
important the important
Conic U characteristics of
characteristics of Representation
Remembering
Sections the different types conic sections in
of conic sections solving
1.15 solves D situational
situational
problems involving
conic sections problems.
1.16 illustrate
systems of
U
nonlinear
equations
1.17 determine 1.7 Illustrate the
the solutions of system of
systems of nonlinear
Non nonlinear equations to
equations using K
Linear determine the Problem
techniques such Understanding
Equatio as substitution, techniques to Solving
ns elimination, and solve and graph
graphing*** involving
1.18 solve situationa
situational l
problems involving problems.
D
systems of
nonlinear
equations
keenly
observe and
investigate
patterns, and
formulate
key concepts
Series appropriate
of series and
and mathematical
mathematical
Mathemat statements
induction and
ical and prove
the Binomial
Induction them using
Theorem.
mathematical
induction
and/or
Binomial
Theorem.
