Search the California Content Standards

Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]

Standard:
(+) Extend polynomial identities to the complex numbers.

Cluster:
Use complex numbers in polynomial identities and equations. [Polynomials with real coefficients; apply N.CN.9 to higher degree polynomials.]

Standard:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Cluster:
Understand and evaluate random processes underlying statistical experiments.

Standard:
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. *

Cluster:
Understand and evaluate random processes underlying statistical experiments.

Standard:
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? *

Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Standard:
Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. *

Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Standard:
Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. *

Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Standard:
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. *

Cluster:
Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Standard:
Evaluate reports based on data. *

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

Standard:
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. *

Cluster:
Use probability to evaluate outcomes of decisions. [Include more complex situations.]

Standard:
(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). *