B. Module 1.01.pdf - H.O.P.E. CHRISTIAN ACADEMY INC....

Canipas, G. (July 19, 2021) 11 Pre-Cal | 1
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H.O.P.E. CHRISTIAN ACADEMY, INC.
Module 1.01
PRE-CALCULUS 11
NAME : _________________________________________
SECTION/BATCH : ______________________________
INCLUSIVE DATES : _____________________________
What I Need to Know (Face-to-Face 1)
Conic sections was an interesting subject among ancient
Greek mathematicians. Today, this is still a subject of much
interest because of its importance. Its practical applications
can be observed not only in our daily activities in which we
encounter circular motions and their uses but also in the
universal movements of planetary objects that follow elliptic
revolutions. Its concepts are also present not only in mega-
parabolic structures like bridges, but also in atomic particles
that follow hyperbolic paths.
Learning Objectives
After studying this module, you will be able to:
• Illustrate the different types of conic sections.
• Define circle.
• Determine the standard form of an equation of a circle.
Explain the statement in the box. Do you agree?
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What I Know/ What’s In
Let us recall circles.
Identify what is being described in each statement.
1. This is a series of points which are equidistant to a
given point called the center. _______________________
2. This is a line segment that connects the center and
a point on the circle. _______________________
3. This is a line segment that connects two points on
a circle. _______________________
4. This is the longest chord of a circle. _______________________
TYPES OF CONIC SECTIONS
• Circle - when the plane is horizontal
• Ellipse - when the (tilted) plane intersects only one cone to form a bounded curve

Canipas, G. (July 19, 2021) 11 Pre-Cal | 2
Since the standard form of the equation
of a circle provides a quick view of the
coordinates of its center and the length of its
radius, it is also referred to as the center –
radius form of the equation of a circle.