**the end**of the school year. Mastery of the concepts at the previous grade is assumed.

**Algebra II**

(Not always available, depends on jurisdiction but the topics will be included in another course listing, pre-calc. etc.)

- Properties of functions, the algebra of functions, matrices, and systems of equations. Linear, quadratic, exponential, logarithmic, polynomial, and rational functions.
- Radical expressions and exponents.
- Binomial theorem.
- Graph ellipses and hyperbolas given the equations.
- In-depth graphing, systems of linear equations and inequalities, quadratics functions and equations.
- Systems of Linear Equations and Inequalities.
- Often includes probability and statistics using standard deviation measures to compare the scatter of sets of real-world data.
- Permutations and combinations.

- Review of polynomial, algebraic, transcendental functions.
- Functions, graphs and /link]
- Limits, continuity, differentiation, integration, and applications using problem sovling as the context.
- Derivatives of functions and real-life applications of derivatives.
- Investigate the relationship between the derivative of a function and the key features of its graph.
- Understand rates of change and their applications.
- Understand the concept of a limit of a function, and be able to evaluate the limit of a function.
- Use the chain rule.

Integrals are often omitted in many of the high school calculus curricula, however, in some courses the application of integrals will still apply.

**Pre-Calculus**

(Sometimes this is offered in 11 or 12, this course tends to include early Calculus concepts.)

- Properties of functions[/li
- Logarithms [/li
- Sequence and Series[/li
- Trigonometric Functions and Equations[/li
- Vectors, Polar Coordinates and Complex Numbers[/li
- Conic Sections [/li

**Finite Math**

(Some curricula includes Finite Math which combines many of the outcomes listed in other courses listed her - will apply to 11th or 12 grades.)

Topics usually include: finance, sets, (permutations of n objects) combinatorics, probability, statistics, matrix algebra and linear equations.

**Statistics**

(Offered sometimes in 11th grade, more often in the 12th grade.)

- Statistical analysis, summarize and intrepret data in meaningful ways .
- Probability, linear and non-linear regression.
- Hypothesis testing using Binomial, Normal, Student-t and Chi-square distributions .
- Use the fundamental counting principle, permutations and combinations.
- Use, interpret and apply normal and binomial probability distributions.
- Apply transformations to statistical data.
- Use the Central Limit Theorem.
- Normal distribution patterns.

**Finite Math**

(Some curricula includes Finite Math which combines many of the outcomes listed in other courses listed her - will apply to 11th or 12 grades.)

Topics usually include: finance, sets, (permutations of n objects) combinatorics, probability, statistics, matrix algebra and linear equations.

## All Grades

Pre-K | Kdg. | Gr. 1 | Gr. 2 | Gr. 3 | Gr. 4 | Gr. 5 |

Gr. 6 | Gr. 7 | Gr. 8 | Gr. 9 | Gr. 10 | Gr.11 | Gr. 12 |