Search the California Content Standards

Cluster:
Interpret linear models.

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Distinguish between correlation and causation. *

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Interpret linear models.

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Distinguish between correlation and causation. *

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Construct and compare linear, quadratic, and exponential models and solve problems. [Include quadratic.]

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Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. *

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Interpret expressions for functions in terms of the situation they model.

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Apply quadratic functions to physical problems, such as the motion of an object under the force of gravity. CA *

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Translate between the geometric description and the equation for a conic section.

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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.

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Translate between the geometric description and the equation for a conic section.

Standard:
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.

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Translate between the geometric description and the equation for a conic section.

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

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Translate between the geometric description and the equation for a conic section.

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

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Use coordinates to prove simple geometric theorems algebraically.

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Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2). [Include simple circle theorems.]

Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]

Standard:
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).