Search the California Content Standards

Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]

Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*

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Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]

Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *

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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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Prove and apply trigonometric identities.

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Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.

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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.]