Search the California Content Standards

Cluster:
Solve systems of equations. [Linear systems]

Standard:
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

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Solve systems of equations. [Linear systems]

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Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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Solve systems of equations. [Linear-linear and linear-quadratic]

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Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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Solve systems of equations. [Linear-linear and linear-quadratic]

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Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

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

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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).

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

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Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

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

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Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *

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Summarize, represent, and interpret data on a single count or measurement variable.

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Represent data with plots on the real number line (dot plots, histograms, and box plots). *

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Summarize, represent, and interpret data on a single count or measurement variable.

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Represent data with plots on the real number line (dot plots, histograms, and box plots). *

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Summarize, represent, and interpret data on a single count or measurement variable.

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Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. *