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Distance formula

Finding equations of circles in standard form

Graphing circles

Using completing the square to write an equation for a circle

The parabola 〖(x-h)〗^2=4p(y-k) and 〖(y-k)〗^2=4p(x-h)

Vertex, focus, directrix, axis of symmetry, focal width

Graphing parabolas

Find an equation in standard form for the parabola that satisfies given conditions

Application involving equations of parabolas

Ellipses with center at (0, 0)

Use the center, vertices, foci, semi major and minor axes, and its Pythagorean relation to graph ellipses

Find an equation in standard form for the ellipse that satisfies the given conditions

Ellipses with center at (h, k)

Use the center, vertices, foci, semi major and minor axes, and its Pythagorean relation to graph ellipses

Find an equation in standard form for the ellipse that satisfies the given conditions

Application involving ellipse

Hyperbolas with center at (0, 0)

Use the center, foci, vertices, semi transverse and conjugate axes, asymptotes, and Pythagorean relation to graph Hyperbolas

Find an equation in standard form for the hyperbola that satisfies the given conditions

Hyperbolas with center at (h, k)

Use the center, foci, vertices, semi transverse and conjugate axes, asymptotes, and Pythagorean relation to graph Hyperbolas

Find an equation in standard form for the hyperbola that satisfies the given conditions

Using limit properties

Limits of continuous functions

Finding limits by substitution

Explain why you cannot use substitution to find the limit and then find the limit algebraically if it exists

Finding limits using tables

One sided and two-sided limits

Finding a limit using graphs

Finding a limit at a point of discontinuity

Limits at infinity

Math XL problems to review CU 10: Conic Sections and CU 11: Limits

Finding equations of circles in standard form

Graphing circles

Using completing the square to write an equation for a circle

The parabola 〖(x-h)〗^2=4p(y-k) and 〖(y-k)〗^2=4p(x-h)

Vertex, focus, directrix, axis of symmetry, focal width

Graphing parabolas

Find an equation in standard form for the parabola that satisfies given conditions

Application involving equations of parabolas

Ellipses with center at (0, 0)

Use the center, vertices, foci, semi major and minor axes, and its Pythagorean relation to graph ellipses

Find an equation in standard form for the ellipse that satisfies the given conditions

Ellipses with center at (h, k)

Use the center, vertices, foci, semi major and minor axes, and its Pythagorean relation to graph ellipses

Find an equation in standard form for the ellipse that satisfies the given conditions

Application involving ellipse

Hyperbolas with center at (0, 0)

Use the center, foci, vertices, semi transverse and conjugate axes, asymptotes, and Pythagorean relation to graph Hyperbolas

Find an equation in standard form for the hyperbola that satisfies the given conditions

Hyperbolas with center at (h, k)

Use the center, foci, vertices, semi transverse and conjugate axes, asymptotes, and Pythagorean relation to graph Hyperbolas

Find an equation in standard form for the hyperbola that satisfies the given conditions

Using limit properties

Limits of continuous functions

Finding limits by substitution

Explain why you cannot use substitution to find the limit and then find the limit algebraically if it exists

Finding limits using tables

One sided and two-sided limits

Finding a limit using graphs

Finding a limit at a point of discontinuity

Limits at infinity

Math XL problems to review CU 10: Conic Sections and CU 11: Limits

Total Pages

42 pages

Answer Key

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Teaching Duration

1 hour

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