Quadratic Equations

Lesson 1A Illustrations of Quadratic Equations

Aug. 18, 2021

ESLR:

Through understanding Quadratic equations, Faithians will acknowledge God as a God of Order and that rules are made out of His love for mankind through His holiness. Faithians will desire to read, study, and obey God’s laws and school rules and regulations.

ESLR

Bible Verse:

1 Corinthians 14:33

33 For God is not a God of disorder but of peace—as in all the congregations of the Lord’s people.

Principle:

Faithians read, study and obey God’s laws and school rules and regulations.

Aim

• Describe quadratic equations using practical situations and their mathematical representations

• Formulate quadratic equations as illustrated in some real-life situations

Action

Directions: Below are different equations. Use these equations to answer the questions that follow.

Multiple Select

Which of the following are linear equations?

• $x^2-5x+3=0$

• $2s+3t=-7$

• $8k-3=12$

• $9r^2-25=0$

• $\frac{1}{2}x^2+3x=8$

Multiple Select

Which of the following are linear equations?

• $4m^2+4m+1=0$

• $c=12n-5$

• $6p-q=10$

• $t^2-7t+6=0$

• $9-4x=15$

Analysis

Based on the activity, answer the following:

• How do you describe linear equations?

• Which of the following given are not linear? Why?

• How are these equations different from those which are linear?

• What common characteristics do these equations have?

A Real Step to Quadratic Equations

Mrs. Jacinto asked a carpenter to construct a rectangular bulletin board for her classroom. She told the carpenter that the board’s area must be 18 square feet.

Application

• Draw a diagram to illustrate the bulletin board.​

Open Ended

What are the possible dimensions of the bulletin board? Give at least 2 pairs of possible dimensions.

Open Ended

How did you determine the possible dimensions of the bulletin board?

Analysis

• Suppose the length of the board is 7 ft. longer than its width. What equation would represent the given situation?

• How would you describe the equation formulated?

• Do you think you can use the equation formulated to find the length and the width of the bulletin board? Justify your answer.

God is a God of Order

Order implies a neat and logical organization of items, tasks, or people. When a room is in order, it has been tidied and everything is in its proper place. God’s universe is orderly. He created everything in an orderly sequence in a six-day span that set the world as we know it into motion (Genesis 1:31; Exodus 20:11; 31:17). He created the sun, moon, and stars to regulate time and seasons (Genesis 1:14–18; Psalm 104:19), and the heavenly bodies operate with precise predictability.

God is a God of Order

In the Old Testament, He had prophets to speak about the coming Messiah thousands of years before He appeared. God could have called sent His Son into the world way back during creation, but that would not have fit into God's orderly plan.

When the fullness of time had come, God sent His only begotten Son into the world to be consistent with God's plan. Then Jesus Himself followed the principle of doing things in the proper order. We know that because He came to earth when it was His time to come. He died on the cross when it was His time to die. And by faith, we believe that He will return at the right time. We don't know when, but we do know that whenever it is, it will be when God says, "It's time!" How do we know that? Because God is a God of order.

Assignment

Read and study the Bible. Find other examples that show God's orderliness and write it on your notebook.