Welcome to
CAMP NIEVES!
Solving Problems using
Venn Diagrams
ENHANCEMENT CAMP LESSON 1
Let’s Review!
Instruction:
Open your workbook on page 3
and try to answer the questions
on Lesson Component 1
(Short Review).
3
Let’s Review!
1. In the Venn Diagram, shade the set:
a. 𝐴 ∩ 𝐵
b. 𝐴 ∪ 𝐵
4
4
Let’s Review!
2. If 𝐶={0,1,2} and 𝐷={2,4,6}, write
down the set:
a. 𝐶 ∪ 𝐷 ={0,1,2,4,6}
b. 𝐶 ∩ 𝐷 ={2}
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5
Let’s Review!
3. In the Venn diagram, shade the set
(𝐽 ∩ 𝐾) ∪ (𝐾 ∩ 𝐿).
J
K
L
6
Let’s be guided!
We can use what we have
learned about representing sets
in Venn diagrams to help us
find solutions to real-world
problems. Today we will employ
Venn diagrams in finding
solutions to such problems.
7
Let’s be familiar!
SET
is a collection of well-defined
group of objects.
8
Let’s be familiar!
NUMBER OF ELEMENTS
is the number of
members/elements in a given
set.
9
Let’s be familiar!
VENN DIAGRAM
is an illustration that uses circles to
show the relationships among things
or finite groups of things
10
Let’s be familiar!
INTERSECTION
is the set containing the
common elements.
11
Let’s be familiar!
UNION
is the set containing all the
combined elements.
12
Let’s try this!
Angelo’s teacher asks her 30
students about their sports after
school. They say that they can
play one or more of
the sports basketball, football, and
volleyball. Two students say that
they play none of the sports.
13
Let’s try this!
Angelo’s teacher asks
her 30 students about
their sports after school.
They say that they can
play one or more of
the sports basketball,
football, and volleyball.
Two students say that
they play none of the
sports.
The teacher also finds that:
• 1) 14 play football.
• 2) Angelo and 2 others
play all 3 sports.
• 3) 15 play volleyball, 4
play football and
volleyball only, and 7
play volleyball and
basketball only.
14
Let’s try this!
1.i Show on the
diagram the given
information that 3
students play all 3
sports.
B
3
F
V
15
Let’s try this!
Two students say
that they play none
of the sports.
B
3
V
F
2
16
Let’s try this!
7 play volleyball
and basketball only.
B
7
3
V
F
2
17
Let’s try this!
4 play football and
volleyball only.
B
7
3
V
F
4
2
18
Let’s try this!
1.ii Using the given
information and 3,
find how many
students play
volleyball only.
From the statement
“15 play volleyball”
B
7
3
F
4
1
V
2
1 = 15 – ( 3 + 4 + 7) 19
Let’s try this!
2. If 2 students
play football only,
find how many play
basketball and
football only.
From the statement
“14 play football”
B
7
5
3
2
F
4
1
V
2
5 = 14 – ( 3 + 4 + 2) 20
Let’s try this!
3. Find how many
students play
basketball only.
B
6
7
5
3
2
F
4
1
V
2
From the 30 students 6 = 30 –(7+3+5+4+2+1+2)
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Let’s
Let’s go
go further!
further!
1. How many
students play one
sport only?
B
6
7
5
3
2
F
4
1
9 play only
one sport
V
9 =6+2+1
2
22
Let’s go further!
2. Angelo decides to no
longer play basketball.
How many students then
do not play exactly one
or two of the
three sports?
4 students
B
6
7
5
32
2
F
4
1
V
4 =2+2
2
23
Let’s go further!
3. How many
students then play
exactly two of the
three sports?
17 students play
exactly two of the
three sports.
B
6
7
5
32
2
F
45
1
V
17 = 5 + 7 + 5
2
24
Let’s wrap up!
1. What do you think were the
key mathematical concepts
addressed in this lesson?
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Let’s wrap up!
2. Would you rate your level of
understanding of the material
covered in this lesson as high,
moderate, or low?
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Let’s wrap up!
3. Has the lesson helped you gain
further insight into aspects of the
material covered that represent
strengths or represent weaknesses?
27
Let’s wrap up!
4. What would you describe as the
main barriers, if any, to your ongoing
progress and achievement
in relation to the topic area addressed
in this lesson?
28
Let’s wrap up!
5. What do you think would best
assist your ongoing progress and
achievement in relation to the
topic area?
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July 25, 2023
Lesson 1
Solving problems
using Venn
Diagram
Icons
Resource
Page
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Elements
Resource
Page
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your Presentation. Happy
designing!
Don't forget to delete this page
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