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## 11th Grade Math Course of Study

The following list provides you with the basic concepts that should be attained by 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

• 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.

 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

Deb Russell