Math

Mathematics 7

Quarter 1

Week 1

Module 1

​Lesson 1: Sets

​Lesson 2: Subsets, Universal Sets, Null Sets, and Cardinality of Sets

​

​Marvin G. Frilles

​HHIS Math Teacher

Open Ended

Honesty is the best Policy!  

On the space provided for answer, write PRESENT if you answer this module during Math Time, LATE if you answer this module after Math Class  or ABSENT if you answer this module the following day that it was given.

​This module contains lessons on:

​Lesson 1: Sets

​Lesson 2: Subsets, Universal Sets, Null Sets, and Cardinality of Sets

​After going through this module, you are expected to:

​1. define a well-defined set; and

​2. illustrate a subset, universal set, null set and cardinality of set

Sets

What's More

Directions:

State whether each of the following sets is well-defined or not. Choose the correct answer.

Multiple Choice

1. The set of young politicians.

• Well-defined Set

• Not

Explanation!​

The set of young politician ​is not well-defined because people will have different views on the exact age of young politician, some would say 25, or 30 or even 35.

Multiple Choice

2. The set of types of matter.

• Well-defined Set

• Not

Multiple Choice

3. The set of versatile actress.

• Well-defined Set

• Not

Explanation!​

The set of versatile actress ​is not well-defined because people will have different views on the standard of being a versatile actress.

Multiple Choice

4. The set of all oceans of the earth.

• Well-defined Set

• Not

Multiple Choice

5. The set of months containing 31 days.

• Well-defined Set

• Not

What I Have Learned

Directions:

Match the descriptions in column A with word/s being described in column B. Choose the letter of the correct answer.

Multiple Choice

_____1.

• a

• b

• c

• d

• e

Multiple Choice

_____2.

• a

• b

• c

• d

• e

Multiple Choice

_____3.

• a

• b

• c

• d

• e

Multiple Choice

_____4.

• a

• b

• c

• d

• e

Multiple Choice

_____5.

• a

• b

• c

• d

• e

Subsets, Universal Sets, Null Sets and Cardinality of Sets

What's More

Directions:

Find the Cardinality of the following sets.

Multiple Choice

1. Set A is the set of days in a week.

• n(A) = 5

• n(A) = 6

• n(A) = 7

• n(A) = 8

Explanation!​

There are only 7 days in a week, namely: Monday,​ Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday

Multiple Choice

2. Set B is the set of letters in the word “recognition”.

• n(B) = 8

• n(B) = 9

• n(B) = 10

• n(B) = 11

Explanation!​

There are only 8 letters in the Set of letters in the word "recognition" which are r,e,c,o,g,n,i and t. Letter i,o and n are repeated letters so they are no longer counted. Remember that in set, each of the elements should be unique, meaning repeated elements should only be write once.

Multiple Choice

3. Set C is the set of even numbers less than 2.

• n(C) = 0

• n(C) = 1

• n(C) = 2

• n(C) = 3

Explanation!​

The answer is 0 because there is NO even number that is less than 2 since 2 is the smallest even number.

Multiple Choice

4. Set D is the set of odd numbers between 3 and 9.

• n(D) = 0

• n(D) = 1

• n(D) = 2

• n(D) = 3

Explanation!​

The numbers BETWEEN 3 and 9 are 4,5,6,7 and 8. The only ODD numbers in that set are 5 and 7. So the answer is 2.

Multiple Choice

5. Set E is the set of factors of 12.

• n(E) = 5

• n(E) = 6

• n(E) = 7

• n(E) = 8

Explanation!​

Remember that 1x12, 2x6 and 3x4 all equals to 12. That means, 1,2,3,4,6 and 12 are the factors of 12. So the answer is 6.

What's More

Directions:

Tell whether each statement is TRUE or FALSE.

Multiple Choice

1. {3,5,7} $$\subseteq$$   {1,2,3,...}

• True

• False

Multiple Choice

2. {𝑏,h,𝑟,𝑞} $$\subseteq$$   {h,𝑟}

• True

• False

Explanation!​

False because {b,h,r,q} is not a SUBSET of {h,r}. Its the other way around.

Multiple Choice

3. {3,12,5,19} $$\subseteq$$   {19,3,5,12}

• True

• False

Multiple Choice

4. {4} $$\subseteq$$   {2,4,6,10}

• True

• False

Multiple Choice

5. $$\phi$$   $$\subseteq$$   {1,3,5,7}

• True

• False

What I Have Learned

Directions:

Fill in the blank to complete the statement. Choose your answer from the choices.

Multiple Choice

1. A set with no element is an empty set or ________

• universal set

• null set

• subset

• cardinality of set

Multiple Choice

2. The number of elements in the set refers to ________

• universal set

• null set

• subset

• cardinality of set

Multiple Choice

3. The _________ U is the set that contains all objects under consideration.

• universal set

• null set

• subset

• cardinality of set

Multiple Choice

4. If every element in A is also an element in B, then A is a _____ of B.

• universal set

• null set

• subset

• cardinality of set

Multiple Choice

5. The symbol for empty set or null set is ______

• [ ]

• 0

• $$\left\{\ \right\}\ or\ \phi$$  

• n( )

Great Job!

Note:

Repeat this QUIZZIZ until you get a satisfactory score in exercises.

​

If you need an explanation on a specific topic or question, then take a screenshot of your question and post it in your Math Classroom.

​Goodbye and Thank you!

​Important reminder:

​

​After this slide, you can see the results of your exercises.

​

​Please take a screenshot of the result and post it in your Math Classroom as a proof that you are finished with this module.