Math 3 Warm Up 3/3/14
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Transcript of Math 3 Warm Up 3/3/14
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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!!!
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3 𝑥2+3 𝑦2−24 𝑥−6 𝑦−24=0
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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.
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Conics: Ellipses Day 1March 3th, 2014
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What does an ellipse look like?
Examples of Ellipses in the real world?
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Definitions• Ellipse:
• Foci:
• Major Axis:
• Minor Axis:
• Vertices:
• Co-vertices:
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The standard form of the equation of an ellipse with center (h, k) is
(𝒙−𝒉)𝟐
𝒂𝟐 +(𝒚 −𝒌)𝟐
𝒃𝟐 =𝟏
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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________)
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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)
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Pg. 638 #16-18Pick up a worksheet from the front!
Math III3/4/13
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How do you create an ellipse?3/4/14
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What are foci?
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Ellipses Day 2: Completing the Square MM3G2a3/5/13
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3/5/14 Check your answers for #4 &5 on the worksheet
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Ellipses Day 3: MM3G2c3/5/14
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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
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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
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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
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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
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Assignment: pg. 638 #19-27 odd, 31-35 semi-major/minor axis: half the axis (either a or b)