627
Grade Level: Grade 11
Subject: Basic Calculus
Quarter Content Standards Performance Standards Most Essential Learning competencies Duration K to 12 CG Code
The learners
demonstrate an The learner shall be able The learners…
understanding of… to…
Quarter 3 the basic concepts formulate and solve illustrate the limit of a function using a table of values and the Week 1 STEM_BC11LC-
of limit and accurately real-life graph of the function IIIa-1
continuity of a problems involving distinguish between limx→c f ( x ) and f(c) STEM_BC11LC-
function continuity of IIIa-2
functions illustrate the limit laws STEM_BC11LC-
IIIa-3
apply the limit laws in evaluating the limit of algebraic functions STEM_BC11LC-
(polynomial, rational, and radical IIIa-4
compute the limits of exponential, logarithmic, and trigonometric STEM_BC11LC-
functions using tables of values and graphs of the functions Week 2 IIIb-1
STEM_BC11LC-
illustrate limits involving the expressions and IIIb-2
using tables of values
illustrate continuity of a function at a number Week 3 STEM_BC11LC-
IIIc-1
determine whether a function is continuous at a number or not STEM_BC11LC-
IIIc-2
illustrate continuity of a function on an interval STEM_BC11LC-
IIIc-3
solves problems involving continuity of a function STEM_BC11LC-
IIId-3
basic concepts of formulate and solve illustrate the tangent line to the graph of a function at a given point Week 4 STEM_BC11D-
derivatives accurately situational IIIe-1
problems involving applies the definition of the derivative of a function at a given number STEM_BC11D-
extreme values IIIe-2
relate the derivative of a function to the slope of the tangent line STEM_BC11D-
IIIe-3
determine the relationship between differentiability and continuity of a STEM_BC11D -
Week 5
function IIIf-1
628
Quarter Content Standards Performance Standards Most Essential Learning competencies Duration K to 12 CG Code
The learners
demonstrate an The learner shall be able The learners…
understanding of… to…
apply the differentiation rules in computing the derivative of an STEM_BC11D-IIIf-
algebraic, exponential, logarithmic, trigonometric functions and inverse 3
trigonometric functions
illustrate the Extreme Value Theorem Week 6
solve optimization problems that yield polynomial functions
formulate and solve illustrate the Chain Rule of differentiation STEM_BC11D-
accurately situational IIIh-2
solve problems using the Chain Rule Week 7 to STEM_BC11D-
problems involving 8 IIIh-i-1
related rates illustrate implicit differentiation STEM_BC11D-IIIi-
2
solve problems (including logarithmic, and inverse trigonometric STEM_BC11D-
functions) using implicit differentiation Week 9 IIIi-j-1
solve situational problems involving related rates STEM_BC11D-IIIj-
2
Quarter 4 antiderivatives and formulate and solve illustrate an antiderivative of a function Week 1 to STEM_BC11I-IVa-
Riemann integral accurately situational 3 1
problems involving compute the general antiderivative of polynomial, radical, STEM_BC11I-IVa-
exponential, and trigonometric functions b-1
population models
compute the antiderivative of a function using substitution rule
solve problems involving antidifferentiation Week 4
solve situational problems involving exponential growth and decay Week 5 to
formulate and solve illustrate the definite integral as the limit of the Riemann sums 6
accurately real-life illustrate the Fundamental Theorem of Calculus STEM_BC11I-IVh-
problems involving areas 1
of plane regions compute the definite integral of a function using the Fundamental Week 7 STEM_BC11I-IVh-
Theorem of Calculus 2
compute the definite integral of a function using the substitution rule STEM_BC11I-IVi-
2
compute the area of a plane region using the definite integral Week 8 STEM_BC11I-IVi-
j-1
solve problems involving areas of plane regions Week 9 STEM_BC11I-IVj-
2
