Search the California Content Standards

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Explain and use the relationship between the sine and cosine of complementary angles.

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA

Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]

Standard:
Solve quadratic equations with real coefficients that have complex solutions.

Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Standard:
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. *

Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Standard:
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. *

Standard:
Design algorithms to solve computational problems using a combination of original and existing algorithms.

Descriptive Statement:
Knowledge of common algorithms improves how people develop software, secure data, and store information. Some algorithms may be easier to implement in a particular programming language, work faster, require less memory to store data, and be applicable in a wider variety of situations than other algorithms. Algorithms used to search and sort data are common in a variety of software applications. For example, students could design an algorithm to calculate and display various sports statistics and use common sorting or mathematical algorithms (e.g., average) in the design of the overall algorithm. Alternatively, students could design an algorithm to implement a game and use existing randomization algorithms to place pieces randomly in starting positions or to control the "roll" of a dice or selection of a "card" from a deck.

Standard:
Decompose problems into smaller subproblems through systematic analysis, using constructs such as procedures, modules, and/or classes.

Descriptive Statement:
Decomposition enables solutions to complex problems to be designed and implemented as more manageable subproblems. Students decompose a given problem into subproblems that can be solved using existing functionalities, or new functionalities that they design and implement. For example, students could design a program for supporting soccer coaches in analyzing their teams' statistics. They decompose the problem in terms of managing input, analysis, and output. They decompose the data organization by designing what data will be stored per player, per game, and per team. Team players may be stored as a collection. Data per team player may include: number of shots, misses, saves, assists, penalty kicks, blocks, and corner kicks. Students design methods for supporting various statistical analyses and display options. Students design output formats for individual players or coaches.