Activity

1. MEMBERS:
Gabieta,Mary Ann,
Buere, Samantha Bernadette O.
Regala, Jovel C.
BSED MT 3-1
PROF. Nancy Cabuhat
TASK 1
Choose a ContentAreainthe K to 12 MathematicsCurriculumGuide andpickone unitfromGrades 7 to
10. Constructa 10-Day Unit Planwiththe followingspecifications.Follow the giventemplate.
AssessmentTask1
(a) Be able to integrate ICT-relatedtoolsandactivitiesinthe dailyprocedure.
(b) Include the conventional activitiessuchasrecitations,boardworks,gamesandothersocially
interactive activities.Have abrief descriptionforthese.
(c) Include seatworksandhomeworksthatare properlyscatteredwithinthe entire duration.
(d) Include a30-pointUnit Test onthe 10th day.
Learning Area MATHEMATICS Unit 1
Grade Level 7 Inclusive CompetencyCodes M7NS-Ia-1,M7NS-Ia-2,
M7NS-Ib-1,M7NS-Ib-2,
M7NS-Ic-1, M7NS-Ic-d-
1, M7NS-Id-2
Quarter 1 Teacher Buere,Gabieta,Regala
CONTENTSTANDARDS The learner
1. Demonstratesunderstandingof keyconcepts
of setsandthe real numbersystem.
PERFORMANCESTANDARDS The learner
1. Is able to formulate challengingsituations
involvingsetsandreal numbersandsolve these
ina varietyof strategies.
LEARNINGCOMPETENCIES The learner
1. Describeswell-definedsets,subsets,universal
setsand null setandcardinalityof sets.
2. Illustratesthe unionandintersectionof sets
and the difference of twosets.
3. UsesVennDiagramsto representset,subsets,

2. and setoperations.
4. Solves problemsinvolvingsets.
5. Representthe absolute valueof anumberona
numberline asthe distance of a numberfrom0.
6. Performsfundamental operationsonintegers.
7. Illustratesthe differentpropertiesof
operationsonthe setof integers.
PROCEDURE
Day Activities
1. Describeswell-definedsets,subsets The followingare termsthatyoumust remember
fromthispointon.
1. A ___ isa well-definedgroupof objects,
calledelementsthatshare acommon
characteristic.
2. The set F isa ______ of set A if all
elementsof Fare alsoelementsof A.
3. The ______ setU isthe set thatcontains
all objectsunderconsideration.
4. The ____ set isan emptyset.The null
setis a subsetof any set.
5. . The _________ of a set A isthe number
of elementscontainedinA
2. Universal setsandnull set A. Write T if the statementiscorrectand F if
the statementisincorrect.
1. We see thatthe unionof bothsets
presentsanemptyset.So,thiscan happen
onlyif A and B,both setsare emptysets.
2. If the intersectionof twostates isan
emptyset,itdoesnot meanthat anyof
the setsis empty.Italsomeansthat there
are no commonelementsinbothA and B
and these setsmaynotbe empty.
3. A^c meansthe complement of setA i.e.,
all elementsleavingthe elementsof setA.
So,the unionof A andA^c will be U
(universal set)i.e.,all the elementsare
included.
4. The n(A)+n(B) includesthe numberof
elementscommoninbothwhichisadded
twice.
5. If we have 5 elementsinsetA and4
elementsinsetBoutof which2 elements
are common inboth the sets,so,
n(A)+n(B)=9Null setisrepresentedbythe

3. symbol “{ }” or “Ø”.
B. Multiple choice
1. Which of the following sets is a
universal set for the other four
sets?
(a) The set of even natural
numbers
(b) The set of odd natural numbers
(c) The set of natural numbers
(d) The set of negative numbers
(e) The set of integers
2. Write all the subsets for the
following.
(a) {3}
(b) {6, 11}
(c) {2, 5, 9}
(d) {1, 2, 6, 7}
(e) {a, b, c}
3. Let A {x : x = n — 2, n < 5}. Find
A when
(a) n = W, n ∈ W
(b) n = N, n ∈ N
(c) n ∈ I = I
4. If ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {2, 4, 6, 8}
B = {3, 5, 7}
C = {1, 5, 7, 8, 9}
5. Write the universal set for the
following.

4. (a) P = {4, 6, 8} Q = {1, 3, 9}
R = {0, 2, 5} S = {7}
(b) X = {a, b, c} Y = {c, b, f}
Z = {e, g}
(c) Prime numbers less than 10,
even numbers less than 10,
multiples of 3 less than 10.
3. Cardinalityof setsandunionand
intersectionof sets
A. Determine whetherornoteachstatement
isTRUE.
_______1. The universal setis {1,2, 3,
4, 5, 6, 7, 8, 9, 10}.
_______2. {2, 4, 5, 6, 8, 9, 10} isa
subsetof U.
_______3. {0, 5, 10} is a subsetof U.
_______4. Emptyset{ } is a subsetof
U.
_______5. The cardinalitynumberof
setU is10.
Try it Now Answers
1. There are several answers: The set of
all odd numbers less than 10. The set of
all odd numbers. The set of all integers.
The set of all real numbers.
2. A ⋃ C = {red, orange, yellow, green,
blue purple}
Bc ⋂ A = {green, blue}
3. A ⋃ B ⋂ Cc
4. Starting with the intersection of all three
circles, we work our way out. Since 10
people believe in UFOs and Ghosts, and 2
believe in all three, that leaves 8 that
believe in only UFOs and Ghosts. We
work our way out, filling in all the regions.
Once we have, we can add up all those
regions, getting 91 people in the union of
all three sets. This leaves 150 – 91 = 59

5. who believe in none.
4. Difference of twosets
A. The questions are based on finding
the differences between the two given
sets.
1. If set A = {3, 4, 5, 6} and set B =
{2, 4, 6, 8};
Find:
(i) A -B
(ii) B – A
2. Given set A = {2, 4, 6, 8, 10, 12},
set B = {3, 6, 9, 12, 15, 18} and set C
= {0, 6, 12, 18};
Find:
(i) A - B
(ii) B - C
(iii) C - A
(iv) A - C
3. Given: P = {a, c, d , m}, Q = {c, e, m, x}
and R = {a, e, i, o};
Find:
(i) P - R
(ii) Q - P

6. (iii) R - Q
4. If A = {Counting numbers between 30 and
40},
B = {Counting numbers between 20 and
50 which are divisible by 4}.
Find:
(i) A - B
(ii) B - A
5. If P = {letters in the word ‘BANARAS’}
Q = {Letters in the word ‘BHARAT’}
and R = {letters in the word ‘BHATINDA’};
Find:
(i) P - Q
(ii) R - Q
(iii) P - R
5. Uses of VennDiagram The Venndiagrambelow showsthe numberof
Grade 4 studentswhojoinedthe math,artsand
musicclubs.Math Club

7. _________ 1. How many studentsjoinedonlythe
math club?_________
2. How many studentsjoinedthe artsclub?
_________ 3. How many studentsjoinedaclub
but didnotjointhe math or arts clubs?
_________ 4. How many studentsjoinedboththe
arts cluband the musicclub?
_________ 5. How many studentsdidnotjoinany
clubs?
6
7
8
9
10
B. What isthe rosterformof set B as shownin the Venndiagram?