precal : intro to conics, Summaries of Mathematics

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CONIC SECTIONS

An Introduction

ANALYTIC

GEOMETR

Y

Analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry. The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equations.

WHAT

HAVE YOU

DISCOVER

ED?

What shapes are formed? How are the different shapes formed? What are the characteristics of each shapes formed?

WHAT IS CONIC SECTION?

Conic section , also called conic , in geometry, any curve produced by the intersection of a plane and a right circular cone. Depending on the angle of the plane relative to the cone, the intersection is a circle, an ellipse, a hyperbola, or a parabola.

PARABOLA

Created when the plane intersect the cone diagonally creating an unbounded curve

ELLIPSE

Created when the plane intersect the cone diagonally

HOW ARE CONIC SECTIONS

CREATED?

DEGENERATE CONICS

POINT LINE^ TWO LINES

PARTS OF THE REPORT

1. Introduction
2. Definition
3. Parts of the Graph
4. Standard and General Form of Equations
5. Determining equations given parts of the graph
6. Determining parts given the equation
7. Problem Solving
8. Activities

PT2: CONICS AROUND US

• Create a group with 6 members
• Create a short video clip (max of 3 mins) about conics that are found around us. The video clip must be informative and entertaining as well. BE CREATIVE!
• DEALINE: SEPTEMBER 29, 2023