1. CLASS: Math Form 1
TOPIC OF LESSON: Set Theory 3 - Venn Diagrams
MODULE: 1 - Number & Number Sense
2. OBJECTIVES
SYLLABUS OBJECTIVE(S) [OBJETIVO DE SYLLABUS]
Candidate should be able to:
Classify types of numbers using the knowledge of set theory;
El candidato debe ser capaz de:
Clasifique los tipos de números usando el conocimiento de la teoría de
conjuntos;
3. OBJECTIVES
LESSON OBJECTIVE(S) [OBJETIVOS DE LA LECCIÓN]
By the end of this lesson, the student should be able to:
● Identify parts of a Venn diagram and what they represent;
● Represent sets and their operations (subset, intersection, union) using a Venn diagram;
● Represent the classification of numbers using a Venn diagram.
Al final de esta lección, el estudiante debe ser capaz de:
● Identificar partes de un diagrama de Venn y lo que representan;
● Representar conjuntos y sus operaciones (subconjunto, intersección, unión) utilizando un
diagrama de Venn;
● Representa la clasificación de números usando un diagrama de Venn.
4. PREREQUISITE LESSON(S)
[LECCION DE PRERREQUISITO]
Make sure to complete these lessons before doing this one: [Make sure to hyperlink the lesson]
● Types of Numbers
● Set Theory I
● Set Theory II
5. INTRODUCTION
Look at this image… ⇒>
This is called a VENN DIAGRAM. It is
used to represent sets. This diagram
shows two sets.
From this Venn diagram, we can say
that:
★ Amy and Daniel like singing but
do not like football.
★ John likes football but does not
like singing.
★ Clare and Alice like both singing
and football.
In this lesson, we will explore the Venn
Diagram, and how it is used in
Mathematics.
10. Examples cont’d/…
As you can see, every
number in Set Y is also
in Set X. This makes Y a
SUBSET of X.
Como puede ver,
cada número en el
Conjunto Y también
está en el Conjunto X.
Esto hace que Y sea
un SUBSET de X.
11. Examples cont’d/…
A subset in a Venn
diagram looks like
this…
Un subconjunto en un
diagrama de Venn se
ve así ...
12. Examples cont’d/…
Another way to use
Venn diagrams, is to
shade sections that
represent various
operations, such as
intersection.
Otra forma de usar los
diagramas de Venn es
sombrear secciones que
representan diversas
operaciones, como la
intersección.
This is an intersection.
14. PLEASE TRY THIS AT HOME
Click the link below to get a copy of a blank Venn Diagram. Print out copies and use to answer the
questions given. Post pictures of your completed Venn diagrams to your Class Group.
Haga clic en el enlace de abajo para obtener una copia de un diagrama de Venn en blanco. Imprima
copias y utilice para responder a las preguntas dadas. Publique imágenes de sus diagramas de Venn
completos en su Grupo de Clase.
Link to Blank Venn Diagram pdf
15. PLEASE TRY THIS AT HOME cont’d/…
Questions
1. Shade the part of the Venn diagram that represents an intersection of sets.
2. Label your Venn Diagram to show the Universal Set and Sets A and B.
3. Shade the part of the Venn diagram that represents a union of sets.
4. Given A = {3, 6, 9, 12, 15, 18, 21} and B = {3, 5, 7, 9, 11, 13, 15, 17, 19, 21} What are the elements of
A ∩ B? Write the numbers in a Venn Diagram. Make sure to show the elements of A and B in their
circles.
5. If P = {3, 6, 9, 12, 15} and Q = {2, 4, 6, 8, 10}. State the elements in P ∩ Q. Show your answer in a
Venn Diagram. Make sure to show the elements of P and Q in their circles.
16. SUMMARY
● A Venn Diagram is used to represent sets and their operations, such as intersection and
union of sets.
● It consists of a rectangle, with two or more circles inside. The circles are usually overlapping
or one circle is inside another.
● The rectangle represents the Universal Set.
● The area where the circles overlap represents the intersection.
● If one set is a subset of the other, the second circle is placed inside the first to represent the
subset.
● Shading of a Venn diagram can be used to represent various set operations.
17. REFERENCES
Cathy James, 2019, Easy Venn Diagram Lesson With Printable, viewed on 17th June 2019,
< https://nurturestore.co.uk/easy-venn-diagram-lesson-with-printable >
![OBJECTIVES
SYLLABUS OBJECTIVE(S) [OBJETIVO DE SYLLABUS]
Candidate should be able to:
Classify types of numbers using the knowledge of set theory;
El candidato debe ser capaz de:
Clasifique los tipos de números usando el conocimiento de la teoría de
conjuntos;](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)