Search the California Content Standards

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. *

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 linear function for a scatter plot that suggests a linear association. *

Cluster:
Interpret linear models.

Standard:
Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. *

Cluster:
Interpret linear models.

Standard:
Compute (using technology) and interpret the correlation coefficient of a linear fit. *

Cluster:
Interpret linear models.

Standard:
Distinguish between correlation and causation. *

Cluster:
Perform arithmetic operations on polynomials. [Beyond quadratic]

Standard:
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

Cluster:
Understand the relationship between zeros and factors of polynomials.

Standard:
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

Cluster:
Use polynomial identities to solve problems.

Standard:
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)2= (x^2 – y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples.