BUDGET OF WORKS
Grade: 10 No. of hours: 120 days
Core Subject Title: Calculus Prerequisite: Analytic Geometry and Trigonometry
Content Learning Code Objectives Number Suggested Assessment Products/
Competencies of Days Activities Performance
FIRST QUARTER
The learner… SSC_CAL10- Identify the domain 1
Ia-1 Graph function Diagnostic FUNCTIO
and range of
Functions in the Cartesian Test N ART
and 1. define and a relation. Coordinate Quizzes
Graphs illustrate concept Unit Test Students will
Show relations as Plane
of relations and Summativ create arts
functions. ordered pairs and e Test using the
2. describe and SSC_CAL10- 1 Determine the different
discuss the difference Ia-2 mappings. domain and graphs of
between relations Determine whether range of functions.
and functions. different
the given ordered
3. determine if a SSC_CAL10- 2 functions with Create
given relation is a Ia-b-1 pairs represent a the use of laws real-life
function using a word
function or a mere and graphs
table of ordered
problems
pairs, graphs and relation.
equations. Perform the involving
4. state and SSC_CAL10- Determine when a 2 different functional
describe the domain Ib-2 given relation operations of notations.
and range of a
function using set becomes a functions Portfolio/J
notation and interval (addition, ournal
function.
notation. subtraction,
5. differentiate SSC_CAL10- Determine if a 1 multiplication,
dependent and Ic-1
given relation is a division and
independent
variable. function using composition)
6. describe and SSC_CAL10- 6
table of ordered Solve real-life word
illustrate the graphs Ic-e-1
of different types of pairs, graphs and problems involving
functions such as functions.
equations.
linear, quadratic,
radical and rational Determine the
and its properties
domain and range
including the
domain and range. of a function using
7. define and SSC_CAL10- 4
set notation and
illustrate other types Ie-2
of functions like interval notation.
piecewise, absolute-
value, greatest Define dependent
integer and its and independent
properties including
the domain and variable.
range. Identify the
8. solve real-life SSC_CAL10- 3
problems involving If-1 dependent and
functions. independent
9. construct and SSC_CAL10- 2
variable.
create functional If-2
models that Evaluate function
represent practical
situations in real-life at a specific value
setup. of x.
10. evaluate SSC_CAL10- 2
functions at a Ig-1 Describe and
specified domain or
illustrate the graph
value of 𝑥.
11. apply operations SSC_CAL10- of linear, 2
on functions (i.e. Ih-1
quadratic, radical,
addition, subtraction,
multiplication and rational function
division).
and its properties
12. illustrate SSC_CAL10- 2
composite functions Ih-2 including
and their domain and
the domain and
range.
SSC_CAL10- range. 2
Ii-1
Define other types
of functions like
piecewise and its
subtypes.
Illustrate other
13. find the inverse of types of functions
a function.
through graphs
and determine its
domain and range.
Solve real life
problems involving
functions.
Combine functions
using arithmetic
operation
Evaluate
composite
functions.
Find the domain
and range of
composite
functions.
Determine the
inverse of a
function.
30
SECOND QUARTER
1. define the concept SSC_CAL10- Define and 1
Limits and of limit. IIa-1 Apply the Diagnostic VIDEO
illustrate the
Continuity 2. determine the limit SSC_CAL10- 2 properties of Test PRESENT
of a function using IIa-2 concept of limit limits including Quizzes ATION
table of values.
table of values. the sum rule , Unit Test
3. evaluate limits SSC_CAL10- 5
difference rule, Summativ Students will
using graphs and IIb-c-1 Define and e Test be grouped
algebraic techniques. product rule , into five. They
interpret the quotient rule and
4. evaluate left and SSC_CAL10- 3 will make an
right-hand limits to IIc-d-1 concept power rule to instructional
prove that that the solve problems. video on how
of limit intuitively.
limit exists or not. to find the limit
SSC_CAL10- 3 of a given
5. prove and use Determine the Determine the
theorems evaluating IId-e-1 properties of limits. value of the limit function.
the limits of sums, of a function as
products, quotients, Evaluate limit of a the variable Portfolio/Jo
and composition of quotient f(a)/ g(a) urnal
approaches a real
functions. where f(a) = 0 and
6. define and SSC_CAL10- 3 number by
g(a) = 0.
illustrate infinite limits IIe-f-1 substitution or by
and limits at infinity. Evaluate one - algebraic
7. evaluate infinite SSC_CAL10- sided limits. 3 manipulation.
limits and limits at IIf-g-1
infinity using a variety The Right - Hand
of ways. Limit
8. illustrate continuity SSC_CAL10- 2
of a function. IIg-h-1 The Left - Hand
9. apply the definition SSC_CAL10- Limit 2
of continuity to a IIi-1
function at a point The Two - sided
and determine if a Limit
function is continuous
over an interval. Evaluate infinite
12. determine SSC_CAL10- limits 2
whether a function is IIj-1
continuous at a point Evaluate limits of
and on an interval or infinity
not using the three
conditions. Sketch the graph
13. determine SSC_CAL10- of continous 2
whether a function is IIj-k-1 and discontinous
continuous at a point functions.
and on an interval or At one point
not using graphical
method. On an open
14. identify the type SSC_CAL10- interval 2
of discontinuity for a IIl-1
certain type of Removable
function (i.e. jump, discontinuity
removable and
infinite discontinuity). jump
discontinuity
30
THIRD QUARTER
Derivatives 1. define & illustrate SSC_CAL10- 3 Differentiate Diagnostic Solve
the derivative of a IIl-a-1 Use derivative to functions using Test problems
function as the slope find the slope of a the definition of Quizzes involving
of the tangent line to curve
the derivative and Unit Test derivatives
the graph of the Summativ
will then apply the drawn from
function. Use rules to find e Test
2. understand and SSC_CAL10- the derivatives. 3 various rules of a variety of
interpret the IIl-b-1 differentiation. applications
derivative as an The derivative of a , limited to
instantaneous rate of constant. Determine the tangent and
change. The derivative of a derivative of normal
3. derive derivative SSC_CAL10- power. 8 trigonometric lines,
formulas and use IIl-c-e-1 The derivative of a functions, inverse
them to find the straight line
constant times trigonometric
derivatives of functions, motion and
a function
algebraic functions. exponential and rates of
5. find the derivatives SSC_CAL10- The derivative of 4 logarithmic change.
of trigonometric and IIl-e-f-1 sums and functions
inverse trigonometric Portfolio/Jo
differences.
functions.
6. evaluate the SSC_CAL10- 4 urnal
derivatives of IIl-f-g-1 The derivative of a
exponential and product.
logarithmic functions.
7. know the chain SSC_CAL10- The deivative of a 3
rule and its proof and IIl-h-1 quotient.
applications to the
calculation of the The derivative of a
derivative of a variety reciprocal
of composite
functions. The chain rule
8. implicitly SSC_CAL10- 3
differentiate selected IIl-i-1 The general power
two-variable rule
equations.
9. compute SSC_CAL10- Compute higher 2
derivatives of higher IIl-j-1 order derivatives.
orders.
30
FOURTH QUARTER
Maxima 1. solve optimization SSC_CAL10- Use derivative to find 4 Solve an Diagnostic DERIVATIVES
and problems IV-a-b-1 the extreme optimization Test IN ACTION
Minima involving values of a function problem drawn Quizzes Students will
algebraic relations by obtaining from a variety of Unit Test create work
and functions. The relative applications, Summative problems
2. apply the first and SSC_CAL10- maximum value 6 using calculus Test involving
second derivative IIl-b-d-1 The relative techniques. maxima and
tests to solve minimum value minima.
maxima and The relative Interpret the
minima problems. extremum solution(s) to an
Integration 1. Define the SSC_CAL10- The critical number 2 optimization MY DREAM
antiderivative of a IIl-d-2 The extreme value problem HOUSE
function
2. Evaluate the SSC_CAL10- theorem 4 Make a
indefinite integral IIl-e-f-1 The absolute blueprint of
of given function maximum value Determine the your dream
3. Apply the basic SSC_CAL10- The absolute 6 indefinite integral house
rules in evaluating IIl-f-h-1 minimum value of polynomial and maximizing the
the integral of the Apply the first radical functions. floor areas
given function derivative tests to given your
solve maxima and chosen
4. Determine SSC_CAL10- minima problems. 3 dimensions.
whether a function IIl-h-i-1 Solve the
F is an antiderivative of Portfolio/Journ
antiderivative of a a given function al
given function f. Determine whether
the given function is
5. Calculate the SSC_CAL10- an derivative by 6
specific IIl-i-k-1 applying the different
antiderivative of a antiderivative rules
function.
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