Math 3 Warm Up 3/3/14 You Need your Book!!! NEW SEATS!!!

Math 3 Warm Up 3/3/14

Find the center, radius, and equation of the circle for each.1. The diameter of a circle had endpoints at (3, -1)

and (5, 3).

2. Center at (-1, 4) and the point on the circle is (3, 2).You Need your Book!!! NEW SEATS!!!

3 𝑥2+3 𝑦2−24 𝑥−6 𝑦−24=0

Calculators

•If, at the end of class, ALL calculators are not put up in three neat rows in the bag, then calculator privileges will be revoked for the next day.

Conics: Ellipses Day 1March 3th, 2014

What does an ellipse look like?

Examples of Ellipses in the real world?

Definitions

• Ellipse:

• Foci:

• Major Axis:

• Minor Axis:

• Vertices:

• Co-vertices:

The standard form of the equation of an ellipse with center (h, k) is

(𝒙−𝒉)𝟐

𝒂𝟐 +(𝒚 −𝒌)𝟐

𝒃𝟐 =𝟏

When

The major axis is

Length of the major axis is

Length of the minor axis is

Foci: = (h________, k)

Vertices: (h________, k)

Co-vertices: (h, k________)

When

The major axis is

Length of the major axis is

Length of the minor axis is

Foci: = (h, k________)

Vertices: (h, k________)

Co-vertices: (h________, k) 

Pg. 638 #16-18Pick up a worksheet from the front!

Math III3/4/13

How do you create an ellipse?3/4/14

What are foci?

Ellipses Day 2: Completing the Square MM3G2a3/5/13

3/5/14 Check your answers for #4 &5 on the worksheet

Ellipses Day 3: MM3G2c3/5/14

Write the equation for the ellipse that meets each set of conditions.

1) Center at (2, -3), the length of the horizontal major axis is 6 and the length of the minor axis is 4

8

6

4

2

-2

-4

-6

-8

-5 5

Write the equation for the ellipse that meets each set of conditions.

2) Center at (-2, 3), the length of the vertical major axis is 12 and the length of the minor axis is 4 8

6

4

2

-2

-4

-6

-8

-5 5

Write the equation for the ellipse that meets each set of conditions.

3) Foci at (-2, 0) and (2, 0) and a = 78

6

4

2

-2

-4

-6

-8

-5 5

Write the equation for the ellipse that meets each set of conditions.

4) Vertices at (5, -4), (-3, -4), (1, -2), and (1, -6)8

6

4

2

-2

-4

-6

-8

-5 5

Assignment: pg. 638 #19-27 odd, 31-35 semi-major/minor axis: half the axis (either a or b)