Ellipse

1. ELLIPSE

2.  Define what is ellipse;
 Identify the different parts of ellipse; and
 Relate ellipse in real-world by citing
examples.
OBJECTIVES: At the end of this lesson, the
students should be able to:

3. Word
Hunt!

4. Direction: Search for a word that has
a connection with the word ELLIPSE.

6. ELLIPSE is determined by a constant
and two fixed points, each called a
focus point.

7. The line through the foci of an ellipse
is called its principal axis.

8. Two points on the principal axis are
called vertices and the line segment
joining them is called the major axis.

9. The midpoint of the major axis is called
the center of the ellipse.

10. The line segment through the center,
perpendicular to the principal axis and
with endpoints on the ellipse is called
the minor axis.

11. The endpoints of the minor axis are
called co-vertices.

12. Let a>b>0, c = 𝑎2 − 𝑏2 so 𝑎2
+ 𝑏2
=
𝑐2
𝑥2
𝑎2
+
𝑦2
𝑏2
= 1
We use a to denote the distance from the
center to a vertex (half the length of the major
axis)
b the distance from the center to a co-vertex
(half the length of the minor axis)
c focal distance

13. Take note that a>b, and variables a, b, and c
are related according to the equation c =
𝑎2 − 𝑏2.
Latus rectum=
𝑏2
𝑎

15. 𝑥2
𝑏2
+
𝑦2
𝑎2
= 1
𝑥2
𝑎2
+
𝑦2
𝑏2
= 1 Major axis is horizontal
Major axis is vertical

16. Cite an example where we can see
the concept of ELLIPSE.

17. Jeremiah 29:11 For I know the plans I
have for you, declares the Lord, plans
to prosper you and not to harm you,
plans to give you hope and a future.