Q3 Math 8

Q3 Math 8

by Patricia Diomampo

ESLR

Through understanding Relations and Functions, Faithians will understand that as God’s creation, we are all related to each other. 

Principle: Faithians value relationships.

Bible Verse: 

“Put on therefore, as God’s chosen ones, holy and beloved, a heart of compassion, kindness, lowliness, humility, and perseverance; bearing with one another, and forgiving each other, if any man has a complaint against any; even as Christ forgave you, so you also do.” Colossians 3:12-13

Subject | Subject

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​What comprises a family?

What is an ideal family for you?

How do you value your relationship with your family?​

​https://www.youtube.com/watch?v=ZbX2Zq6eHPA

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​Action

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​Analysis:

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​•Function is a relation in which each element of the domain corresponds to exactly one element of the range.

​All functions are relations but not all relations are functions

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Application: ​

Function or Not?

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​answers:

​1. function

​2. not

​3. function

​Application: Function or Not?

​

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​answers:

​1. function

​2. not

​3. function

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Multiple Choice

• function

• mere relation

Multiple Choice

• function

• mere relation

Multiple Choice

• function

• mere relation

Multiple Choice

• function

• mere relation

Multiple Choice

• function

• mere relation

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​answers:

​1. function

​2. not

​3. function

​4. not

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answer B11 S1-S3

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ESLR

Through understanding Relations and Functions, Faithians will understand that as God’s creation, we are all related to each other. 

Principle: Faithians value relationships.

Bible Verse: 

“Put on therefore, as God’s chosen ones, holy and beloved, a heart of compassion, kindness, lowliness, humility, and perseverance; bearing with one another, and forgiving each other, if any man has a complaint against any; even as Christ forgave you, so you also do.” Colossians 3:12-13

Subject | Subject

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Aim​

Finds the domain and range of a function

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Action

Observe this given picture.

What is the input? What is the output?​

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Analysis

Subject | Subject

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​With the given picture,

What is the domain?

What is the range?

How were we able to produce the output?​

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​https://www.youtube.com/watch?v=rRM4WoVvmcI&t=207s

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Application

answer B12 S1-S3

Subject | Subject

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ESLR

​Through understanding the structure of geometry and congruence, Faithians will realize that we are all equal in the eyes of God for we are created in His image. The way they will see themselves and others are based on the truth that we are all created fearfully and wonderfully. So, they will focus on the things that are destined for them that are according to the promises of God. 

Principle: 

Faithians focus on the promise and outlook of God towards them. 

Bible Verse: 

Psalms 139:14

“I praise you for I am fearfully and wonderfully made. Wonderful are your works; my soul knows it well.”

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​https://www.youtube.com/watch?v=kNlGDpTtNxE

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Action: ​Categorize the following whether they represent point, line or plane

​Analysis:

How do these objects represent the undefined terms?​

What is the difference between the defined and undefined terms?​

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​Application

​Application

​Application

​https://www.youtube.com/watch?v=dJPi1gAaado

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Fill in the Blanks

Fill in the Blanks

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Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

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Fill in the Blanks

Fill in the Blanks

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ESLR

Through understanding Logical Reasoning, Faithians will recognize that God is the God of Peace. So, Faithians will live in harmony with people by regarding others better than themselves.

Principle:

Faithians live in harmony with people by regarding others better than themselves.

Bible Verse:

“Therefore, despite our differences as created unique individuals, let us consider one another, not looking on our own interests, but also to the interests of others”

Phil 2:4

Subject | Subject

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​

Aim​

• ​ Define Mathematical Statements, Negation of a statement, compound statements and conditional statements

• ​define hypothesis and conclusion

• Identify hypothesis and​ conclusion in a conditional statement

• determine the relationship between hypothesis and conclusion of an if-then statement.​

• Transforms a statement into an equivalent if-then statement​

​

​

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Action

​True or False:

1. Giraffes are the tallest animals known in the world.

2. ​Two times four is the same as two times three.

3. Anne and Jeff are siblings.​​

​

​

​

Subject | Subject

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Analysis

In Mathematics, we need to draw logical conclusions based on evidence or stated assumptions.

Mathematical Statements are sentences that can be either true or false but not both.

​

Which of the three examples are mathematical statements?​

​

​

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Negation of a statement

• opposite of the statement.

  Example: p: ​Manila is a province.

  ~p: Manila is not a province.

  ~p read as not p​

Subject | Subject

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Compound Statement

Mathematical statements that are formed by combining two or more statements with the help of connecting words such as and, or and the like.

Example:

q: A rectangle has four sides.

r: The opposite sides of a rectangle are equal.

​q+r= A rectangle has four sides and its opposite sides are equal.

​

Subject | Subject

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​Note: When both statements are true, then the compound statement with AND is also true.

If any one of the component statement is false, then the compound statement is also false.​

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​read as p implies q

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necessary consequence of one or more propositions takes as premises

Conclusion

tentative assumption made in order to draw out and test its logical or empirical consequences

Hypothesis

Conditional Statement

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​Example: If I receive Jesus Christ as my Lord and Savior, I will be saved.

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Application

answer workbook page 26 Block 14 S1 and S2

Subject | Subject

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Aim

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​Action:

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​Analysis:

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Application:

Subject | Subject

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​Write the statement in the if-then form statement. Then state its converse, inverse and contrapositive.

​

A guitar player is a musician.​

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​Application:

True or False?​

​Application:

Answer page 28 of workbook B14 S3

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Aim

Differentiate inductive and deductive reasoning.

Subject | Subject

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​Action:

​Analysis:

how did you arrive at your answer?

did you agree at once on your answer?

Were there disagreements among the members?​

What​ was shown to you are inductive reasoning. Can you give 3 examples?

based on the activity, what is inductive reasoning?

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​Action:

​Application

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​Proving Theorems:

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​Proving Theorems:

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​Proving Theorems:

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application

Answer page 3 B15 S2 and S3

Subject | Subject

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ESLR​

Through understanding the structure of geometry and congruence, Faithians will realize that we are all equal in the eyes of God for we are created in His image. The way they will see themselves and others are based on the truth that we are all created fearfully and wonderfully. So, they will focus on the things that are destined for them that are according to the promises of God. 

Principle: 

Faithians focus on the promise and outlook of God towards them. 

Bible Verse: 

Psalms 139:14

“I praise you for I am fearfully and wonderfully made. Wonderful are your works; my soul knows it well.”

Subject | Subject

Some text here about the topic of discussion

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​illustrating triangle congruence

Aim:​

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​https://www.youtube.com/watch?v=YEHUBsqdGpI

​Sometimes when we look at the mirror, we do not want the person we're looking at. We are silently wishing to be somebody else, not knowing that we are all created equally unique.

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​ACTION:

​Analysis

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Application

Answer Block 17 S1

Subject | Subject

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​Triangle Congruence Postulate

https://www.youtube.com/watch?v=UGQ7MetUZVw​

​Solving Corresponding parts of congruent triangles

​https://www.youtube.com/watch?v=bWJOJLwznzM

​https://www.youtube.com/watch?v=axO62hQaw4Y

​Proving triangle congruence using postulates

​https://www.youtube.com/watch?v=AJNFYOJ_3-Y

​Proving Theorems on Right Triangles

https://www.youtube.com/watch?v=IAOaqf-PLic​

​Proving theorems on isosceles triangles

https://www.youtube.com/watch?v=y5bYwXY6jck​

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