Republic of the Philippines
Department of Education
REGION XI
SCHOOLS DIVISION OF CITY OF MATI
MATI NATIONAL COMPREHENSIVE HIGH SCHOOL
MANGGA ST. BO. SAINZ, CITY OF MATI
MATHEMATICS DEPARTMENT
BUDGET OF WORK
MATHEMATICS 10
Quarter Content Performance Most Essential Unpack
3 Standard Standard Learning WEEK Day Learning Competencies
Competencies
Learning Objectives:
demonstrates is able to applies the distance 1
understanding formulate and formula to prove 1 a. Derive the distance formula.
of key solve some geometric b. Find the distance between a pair of
concepts of problems properties. points on the coordinate plane.
circles and involving M10GEIIg-2
coordinate geometric 2 a. Solve the coordinates of the midpoint
geometry. figures on the of a line segment on a coordinate plane
rectangular using the midpoint formula.
coordinate b. Find the other endpoint of a line
plane with segment when the midpoint and one
perseverance endpoint are given.
and accuracy.
Mangga St., Barrio Sainz, City of Mati, Davao
Oriental
(087) 3883-247
matinchs47@gmail.com
Republic of the Philippines
Department of Education
REGION XI
SCHOOLS DIVISION OF CITY OF MATI
MATI NATIONAL COMPREHENSIVE HIGH SCHOOL
MANGGA ST. BO. SAINZ, CITY OF MATI
2 1 Draw geometric figures in the Cartesian
Plane.
2 Apply the distance formula to prove some
geometric properties.
illustrates the center- 3 a. Define center and radius of the circle.
radius form of the b. Identify the center and radius of a circle
equation of a circle. given the radius form of the circle.
M10GEIIh-1
4 a. Transform to general equation of a
3 circle from center-radius form of a circle.
determines the b. Transform the general equation of a
center and radius of circle to center-radius form of a circle.
a circle given its
equation and vice 1 Find the radius and center of the circle
versa. M10GEIIh-2 given the equation and vice versa.
2 Find the equation of the circle given three
points that lies on the circle.
Mangga St., Barrio Sainz, City of Mati, Davao
Oriental
(087) 3883-247
matinchs47@gmail.com
Republic of the Philippines
Department of Education
REGION XI
SCHOOLS DIVISION OF CITY OF MATI
MATI NATIONAL COMPREHENSIVE HIGH SCHOOL
MANGGA ST. BO. SAINZ, CITY OF MATI
3 Graphs a circle on the coordinate plane.
graphs and solves
problems involving
circles and other 4 a. Write the standard form of the equation
geometric figures on of a circle
the coordinate plane. b. Analyze and solve problems involving
equation of a circle and other geometric
figures on the coordinate plane.
is able to use
demonstrates precise 1 a. Illustrate the permutation of objects.
understanding counting illustrates the b. List the possible ways a certain task
of key technique and permutation of or activity can be done
concepts of probability in objects. M10SP - IIIa 4
combinatorics formulating –1 2 a. Formulate the number of permutations
and conclusions of n objects taken r at a time.
probability. and making b. Find the number of permutations of n
decisions. objects taken at a time.
solves problems
involving 3 a. Solve problems involving circular
permutations. permutations and permutations with
M10SP - IIIb – 1 repetitions.
b. Analyze each word problem to
Mangga St., Barrio Sainz, City of Mati, Davao
Oriental
(087) 3883-247
matinchs47@gmail.com
Republic of the Philippines
Department of Education
REGION XI
SCHOOLS DIVISION OF CITY OF MATI
MATI NATIONAL COMPREHENSIVE HIGH SCHOOL
MANGGA ST. BO. SAINZ, CITY OF MATI
identify the given information
4 a. Solve problems involving linear
permutations and permutations taken r at
a time
b. Analyze each word problem to identify
the given information
illustrates the 5 1 a. Illustrate combination of objects in
combination of real life situation.
objects. M10SP - IIIc b. Determine the number of ways a
–1 combination may occur.
Derives the formula 2 a. Derive the formula in finding the
for finding the number of combinations of n objects
number of taken r at a time.
combinations of n b. Find the number of combinations of
objects taken r at a n objects taken r at a time r.
time.
(M10SP-IIId-1)
Mangga St., Barrio Sainz, City of Mati, Davao
Oriental
(087) 3883-247
matinchs47@gmail.com
Republic of the Philippines
Department of Education
REGION XI
SCHOOLS DIVISION OF CITY OF MATI
MATI NATIONAL COMPREHENSIVE HIGH SCHOOL
MANGGA ST. BO. SAINZ, CITY OF MATI
differentiates 3 Identify solutions that involve
permutation from permutations or combinations.
combination of
objects taken at a
time. M10SP - IIIc – 2
solves problems 4 Solve real life problems involving
involving combinations and permutations
permutations and
combinations.
M10SP - IIId - e – 1
illustrates events, 6 1 a. Illustrate the probability of simple
and union and events.
intersection of b. Solve the probability of simple events
events. M10SP - IIIf
–1 2 a. Illustrate union and intersection of
events.
b. Determine the union and intersection of
two or more events.
Mangga St., Barrio Sainz, City of Mati, Davao
Oriental
(087) 3883-247
matinchs47@gmail.com
Republic of the Philippines
Department of Education
REGION XI
SCHOOLS DIVISION OF CITY OF MATI
MATI NATIONAL COMPREHENSIVE HIGH SCHOOL
MANGGA ST. BO. SAINZ, CITY OF MATI
illustrates the 3 Illustrate the probability of a union and
probability of a intersection of two events.
union of two events.
M10SP - IIIg – 1 4 Find the probability of a union and
intersection of two events.
finds the probability 7 1 a. Illustrates mutually and not mutually
of A U B . M10SP exclusive events.
- IIIg - h – 1 b. Find the probability of mutually and not
mutually exclusive events.
illustrates mutually 2 a. Illustrate mutually exclusive events and
exclusive events. not mutually exclusive events.
M10SP - IIIi – 1 b. Differentiate mutually exclusive events
from not mutually exclusive events.
solves problems 3 Identify dependent and independent
involving probability. event.
M10SP - IIIi - j - 1
4 Differentiate dependent events from
Mangga St., Barrio Sainz, City of Mati, Davao
Oriental
(087) 3883-247
matinchs47@gmail.com
Republic of the Philippines
Department of Education
REGION XI
SCHOOLS DIVISION OF CITY OF MATI
MATI NATIONAL COMPREHENSIVE HIGH SCHOOL
MANGGA ST. BO. SAINZ, CITY OF MATI
independent events and vice versa.
PREPARED BY: CHECKED BY:
NONITO P. ADALID JR. MARILOU M. MAPA
Secondary School Teacher I Master Teacher I
ANNALIZA A. PAPA ROGELIO M. ESGUERRA JR
Secondary School Teacher III Secondary School Teacher II NOTED BY:
NESTOR A BALDOZ
ROGEL NUGAL ELMER O. SURIGAO Secondary School Head Teacher III
Secondary School Teacher I Secondary School Teacher I
Mangga St., Barrio Sainz, City of Mati, Davao
Oriental
(087) 3883-247
matinchs47@gmail.com
