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

**Algebra I**

- Look at real numbers, functions and algebraic expressions.
- Understand linear equations, first degree inequalities, functions, quadratic equations and polynomial expressions.
- Manipulate Polynomials, Rational Expressions, and Exponential Expressions.
- Slope of a line and rate of change.
- Use and model the distributive properties.
- Logarithmic Functions and in some cases Matrices and matrix equations are also covered.
- Remainder Theorem, the Factor Theorem, the Rational Root Theorem *sometimes addressed in the 12th grade.

**Functions and Relastions - or PreCalculus**

- Investigate Sequences and Series.
- Understand properties and applications of trigonometric functions and their inverses.
- Applications of Conic Sections.
- Apply and demonstrate understanding while solving problems involving the sine law and the cosine law.
- Investigate relationships between the graphs and the equations of sinusoidal functions.
- Trigonometric and circular functions, identities and inverses, and their applications, the study of polar coordinates and complex numbers.
- Financial applications which include spreadsheets and the use Compound Interest and Annuities.

**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.

**Financial Math**

- Income, budgeting, purchasing, banking, credit, investments, taxation, and small business operations.
- Compound and Simple interest applications.
- Probability and statistics for business applications.
- Collect, organize and analyze data.
- Amortization, loans and investment decisions.

**Pre-Calculus **

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

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

**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.
- Probability as relative frequency.
- Normal distribution patterns.

## 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 |