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LESSON PLAN Subject
: Mathematics
Class
: 4 Bijak
Date
: 02/03/09
Time
: 5.15-5.55p.m
No. of student : 20/20 students Learning area: Sets Learning objectives: Understand and use the concept of subset, universal set and the complement of a set. Learning outcomes: At the end of the lesson, student should be able to: (i) Determine whether a given set is a subset of a specific set and use the symbol or . (ii) Represent subset using Venn diagram. (iii) List the subsets for a specific set.
Prior knowledge: Students have already known the concept of the group of object, definition of sets, element of a set, Venn diagrams, and empty set.
Teaching aids/resources: The mahjong paper, manila card, glue, white board, slide show, fruits, question sheet and picture
Attitudes and Values: Communications with students and teachers, cooperative, being confident and dare to try
Creative and Critical Thinking Skills (CCTS): Grouping and classifying, comparing and contrasting, relating, making generalizations and observing
STEPS
CONTENTS
TEACHER
STUDENTS
ACTIVITIES
ACTIVITIES the
STRATEGY/ METHOD/ TEACHING AID (TA)/ ATTITUDES & VALUES (AV)/ CCTS STRATEGY/ METHOD
Set Induction
Begin with knowledge about
(5 minutes)
living things
mahjong paper about
front of class.
Set A = {animals in the
set of animal on the
picture}
white board.
Each person given 7 TEACHING AID (TA) The mahjong paper pieces of manila card Manila card (pictures) and they (picture) need to fill the glue diagram based on White board their prior knowledge
Teacher
puts
Set B = {birds}
Set C = {insects}
from each group to
Set D = {mammals}
come in front of the
The relationship between sets
class
A, B, C and D are
diagram
B A, C A, andD A
animals.
A
and
fill
of
the
related
about
animals, birds, insect, and mammals, based on diagrams.
Teacher explains to the
students
in
Student gives her/his opinion.
about
their relationship.
constructivism
ATTITUDES & VALUES (AV)
Being confident
CCTS
the
relationship between
D
come
about living things.
Then, teacher asks the student
C
B
Teacher calls students
Students
Grouping classifying
Relating
and
Development (18 minutes)
A a, e, i, o, uand B a, e
the symbol of subset.
Students listen to their STRATEGY/ METHOD Explanation teacher.
Set B is a subset of set A if every
Teacher shows the
The
element of set B is also an
example.
Subsets
element of set A
If P o, u, w, is P A ? No, because set A does not contain the element of w. Another example: Given P = {even number between 1 and 9}, Q = {2, 4, 8} and R = {4, 8, 12}, determine whether each of the following is true or false?
a Q P b R P c R Q
Teacher introduces
Teacher asks the
volunteer
gives
He/she may say that element of set B, a and
can see from these
e, both are in the
sets.
element of set A.
respond to his/her answer
Students respond.
give
Questioning
TEACHING AID (TA)
his/her opinion.
volunteer what he/she
Teacher gives
their
Slide show
ATTITUDES & VALUES (AV)
Being confident
CCTS
Observing
comparing contrasting
and
The
relationship
B A
and
P A can be illustrated by a
Teacher explains the
Venn diagram. Note that the
concept of subset by
entire region bounded by set B is
using Venn diagram
contained in set A.
from example.
A
B A
B
A
P A
previous
u
again
P
explains to
students
o
C = {cars, vans}.
Teacher
make more
understand.
Teacher explains on
List the types of vehicles that
how to list all the
Ahmad is able to sell on a
subset of element C.
particular day that must be in the element of set C. Answer:
, cars, vans, andcars, vans Empty set: A set with no elements.
Students listen to the STRATEGY/ METHOD Explanation lesson and take note. TEACHING AID (TA)
Slide show
White board
ATTITUDES & VALUES (AV)
Dare to try
Being confident
CCTS
Observing
visualizing
All elements: A set with all elements.
STRATEGY/ METHOD
If set A represent the types of
Teacher calls
fruits, then A= {orange, red
representative from
lesson and take note.
apple, green apple}. The types of
each group to come in
8 students come in
fruits is able to sell on a particular
front of class and
front of class.
time must be the elements of set
calls 3 more
A. It maybe one, two or all the
volunteer.
material that teacher
three types of fruits in an hour.
Teacher shows her
bring.
Thus, the sets of types of fruits
material to the
sells on a particular time are the
Student
listen
the
Inductive
Explanation
TEACHING AID (TA)
The students see the
Fruits
ATTITUDES & VALUES (AV)
The students listen to
Cooperative
students.
the explanation from
confident
subsets of set A. They are
Teacher explains the
their teacher.
{oranges}, {red apples}, {green
element of set.
apples}, {oranges, red apples},
Teacher asks students
fruits. They maybe
creative
{orange, green apples}, {red
to take fruits and ask
take one, two, three
generating ideas
apples, green apples}, {oranges,
to think the element
and
red apples, green apples} and
subsets that will be.
should did not get the
Teacher gives
fruit.
.
explanations about
The students take the CCTS
one
person
Students listen to the
activity that they have
explanation
done.
their teacher.
from
The number of subsets of a set containing
n
elements
is 2 n .
Hence, the number of subsets of
a, b, c, d is 2 4 , that is 16. sets
G= { } B= {cat} C= {cars, vans} A={1,2,3} H={a,b,c,d}
No. No. of element subsets of set
Teacher show table to construct the formula
Students follow the STRATEGY/ METHOD deductive instruction given and
of 2 n .
carry out the activity
Teacher asks student
box then predict the
and list all the
no. of subset of set H
element of subset if
without
the set have 1, 2 or 3
element first.
its
Students explain what they have got after
about what they have
finish the activity.
those element ( 2 n ) Then teacher ask student to find the no. of subset of set H (4 element) without listing it subset first.
listing
Teacher asks student
found after listing
Teacher explains further about the concept of subset.
Explanation
Student fill the empty
to fill the empty box
elements.
Student
listen
TEACHING AID (TA)
manila card
white board
ATTITUDES & VALUES (AV)
confident
the CCTS explanation given by observing the teacher. generating ideas
to Students answer the STRATEGY/ METHOD discussions student question and explain
Evaluation
Challenge!
(12 minutes)
If X Y and Y X , what is the
challenge
relationship between sets X and
based
Y?
understanding.
Worksheet
Teacher
try
on
their
question sheet to each
the question in their
group to answer the
group.
Teachers ask them to
After
3
minutes,
teacher
calls
one
person
from
one
solution. Teacher check and gives respond to the answer from student.
the answer. The
question sheet
ATTITUDES & VALUES (AV)
The student presents
group to present the
TEACHING AID (TA)
gives The students answer
Teacher
answer in 3 minutes.
based on their
understanding.
question given.
it
students
reward.
cooperative
being confident
CCTS
get
communications with students and teacher
Closure
Summary about the subset, Venn
The
(5 minutes)
diagram and listing the subsets
students
for a specific set.
summarize the lesson The
teacher
asks The to
students
summarization. students
say
they
have
and state what they
what
Homework:
know
learned.
Question number 4, 5 and 6 in
subsets so far.
text book at page 54.
about
the
The teacher thanks the students for their attentiveness and good behaviors.
The teacher gives homework
do STRATEGY/ METHOD questioning
Students will do their homework
ATTITUDES & VALUES (AV)
Being confident
CCTS
Communications with teacher
Recall
WORKSHEET 1. Given P = {1, 2, 3}, Q = {factors of 6}, R = {factors of 9}, and S = {factors of 18}. List the element of Q, R and S, then insert the symbol or into the spaces provided. Q= R= S=
(a) P
Q
(b) P
R
(c) Q
S
(d) R
S
(e) Q
R
(f) P
S
2. Represent the relationship of sets A, B and C using a Venn diagram. (a) A = {s, o}, B = {s, o, m, e} and C = {s, o, m, e, d, a, y}
(b) A= {2, 3, 4, 5, 6, 7}, B = {2, 4, 7} and C = {5, 6}
3. Given that A = {factors of 15} (a) List the element of A A= (b) Find the number of subset of set A
(c) List all the subsets of set A which contain (i) 2 elements
(ii) 3 elements