# Tutorials

Post date: 07/18/2017 - 07:55

## (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

CC.9-12.G.GPE.3 (+) Translate between the geometric description and the equation for a conic section. Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of...
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Post date: 07/18/2017 - 07:54

## Derive the equation of a parabola given a focus and directrix.

CC.9-12.G.GPE.2 Translate between the geometric description and the equation for a conic section. Derive the equation of a parabola given a focus and directrix.
Are you ready for some Common Core Math quizzes in section 9-12.G.GPE.2?...
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Post date: 07/18/2017 - 07:54

## Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

CC.9-12.G.GPE.1 Translate between the geometric description and the equation for a conic section. Derive the equation of a circle of given center and radius using the Pythagorean Theorem;...
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Post date: 07/18/2017 - 07:53

## Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

CC.9-12.G.C.5 Find arc lengths and areas of sectors of circles. Derive using similarity the fact that the length of the arc...
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Post date: 07/18/2017 - 07:52

## (+) Construct a tangent line from a point outside a given circle to the circle.

CC.9-12.G.C.4 (+) Understand and apply theorems about circles. Construct a tangent line from a point outside a given circle to the circle.
Are you ready for some Common Core Math quizzes in section 9-12.G.C.4?...
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