This one-year course provides students with a study of functions and statistics, including advanced topics. It incorporates problem solving, reasoning, modeling, and effective communication skills through the study of polynomial, rational, radical, exponential, logarithmic, and trigonometric functions; the design of statistical studies; and statistical inference. Instructional practices incorporate integration of diversity awareness including appreciation of all cultures and their important contributions to society. The use of mathematical tools and technology, including calculators and computer software, is an integral part of this course. This course fulfills one of the mathematics credits required for high school graduation.
1. To develop the Standards for Mathematical Practice.
2. To perform arithmetic operations with complex numbers and use complex numbers in polynomial identities and
3. To interpret the structure of expressions and write expressions in equivalent forms to solve problems.
4. To perform arithmetic operations on polynomials; understand the relationship between zeros and factors of
polynomials; use polynomial identities to solve problems; and rewrite rational expressions.
5. To create equations that describe numbers or relationships.
6. To understand solving equations as a process of reasoning and explain the reasoning; and represent and solve
equations and inequalities graphically.
7. To interpret functions that arise in applications in terms of the context and analyze functions using different
8. To build a function that models a relationship between two quantities and build new functions from existing
9. To construct and compare linear, quadratic, and exponential models and solve problems.
10. To extend the domain of trigonometric functions using the unit circle; model periodic phenomena with
trigonometric functions; and prove and apply trigonometric identities.
11. To summarize, represent, and interpret data on a single count or measurement variable.
12. To understand and evaluate random processes underlying statistical experiments; and make inferences and
justify conclusions from sample surveys, experiments and observational studies.
13. To use probability to evaluate outcomes of decisions.