Math 3 Warm Up 3/3/14

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)