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.

Cluster:
Solve systems of equations. [Linear systems]

Standard:
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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Interpret the structure of expressions. [Linear expressions and exponential expressions with integer exponents]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *

Cluster:
Interpret the structure of expressions. [Linear expressions and exponential expressions with integer exponents]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)^n as the product of P and a factor not depending on P. *

Cluster:
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). *

Cluster:
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. *

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

Standard:
Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). *

Cluster:
Summarize, represent, and interpret data on two categorical and quantitative variables. [Linear focus; discuss general principle.]

Standard:
Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. *

Cluster:
Summarize, represent, and interpret data on two categorical and quantitative variables. [Linear focus; discuss general principle.]

Standard:
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. * Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models. *

Cluster:
Summarize, represent, and interpret data on two categorical and quantitative variables. [Linear focus; discuss general principle.]

Standard:
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. * Informally assess the fit of a function by plotting and analyzing residuals. *