Lesson 1: Circles

Lesson 1: Circles

Parts of the Discussion

• Expectations - These are what you will be able to know after completing the lessons in the module. 

• Pre-test - This will measure your prior knowledge and the concepts to be mastered throughout the lesson. 

• Looking Back - This section will measure what learnings and skills that you understand from the previous lesson. 

• Brief Introduction- This section will give you an overview of the lesson.

• Activities - These are activities designed to develop critical thinking and other competencies. This can be done with or without a partner depending on the nature of the activity. 

• Remember - This section summarizes the concepts and applications of the lessons. 

• Checking your Understanding - It will verify how you learned from the lesson. 

• Post-test - This will measure how much you have learned from the entire module.

Expectations

In this lesson, you will be able to:

1. Define circle; 

2. Determine the standard form of a circle; 

3. Graph a circle in a rectangular coordinate system. 

Brief Introduction

Conic Sections

Conic sections were discovered during the classical Greek period, 600 to 300 BC. The early Greek studies were largely concerned with the geometric properties of conics. It was not until the early seventeenth century that the broad applicability of conics became apparent and played a prominent role in the early development of calculus.

A conic section (or simply conic) is the intersection of a plane and a double-napped cone. Notice in the figure that in the formation of the four basic conics, the intersecting plane does not pass through the vertex of the cone.

Definition 

A circle is consist of all points on the plane equidistant from a fixed point called the center. The distance from the center to any point on the circle is constant and is called the radius of the circle. 

LOOKING BACK TO YOUR LESSON 

ACTIVITY 1: DECODING MESSAGE

Description: This activity will enable you to review slope, distance and midpoint formula. Direction: Decode the message by answering the clues below. The answer to the clues is a two-digit number. Find the tens-digit in the leftmost column and the ones-digit in the top row then choose the corresponding letter of intersection. 

Message: __     __    __    __    __    __    __ 

Open Ended

What difficulties did you encounter in doing the activity?

Recap

1. What is the formula in getting the distance between two points? 

2. How do you compute for the slope of a line? 

3. What is a midpoint formula?

Finding the Equation of a Circle 

Exercises 1

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ACTIVITY 2: THE MAGIC WORD

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REMEMBER

ACTIVITY 3: FIND MY PARTS

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LOOKING BACK TO YOUR LESSON

Exercises 2

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 Sketching the Graph of a Circle

Exercises 3

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PROBLEM SOLVING

Activity 4: Perfect Match

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Open Ended

What did you feel while answering the activity?

Announcement

Study everything and prepare for a long quiz next meeting.