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PreCalculus: Pre-Calculus will emphasize a study of trigonometric functions and identities as well as applications of right triangle trigonometry and circular functions. Students will use symbolic reasoning and analytical methods to represent mathematical situations, express generalizations, and study mathematical concepts and the relationships among them. Students will use functions and equations as tools for expressing generalizations. The standards are listed below and also provided in this PDF from the Arkansas Department of Education.

  1. Students will use complex numbers and determine how polar and rectangular coordinates are related.
  2. Students will perform operations with vectors and use those skills to solve problems.
  3. Students will develop and apply the definitions of the six trigonometric functions and use the definitions to solve problems and verify identities.
  4. Students will solve trigonometric equations and sketch the graph of periodic trigonometric functions.
  5. Students will identify, analyze, and sketch the graphs of the conic sections and relate their equations and graphs.
  6. Students will be able to find the inverse of functions and use composition of functions to prove that two functions are inverses.
  7. Students will be able to interpret different types of functions and their key characteristics including polynomial, exponential, logarithmic, power, trigonometric, rational, and other types of functions.

‚ÄčQuantitative Literacy: This course builds on Algebra I to explore mathematical topics and relationships. Emphasis will be placed on applying modeling as the process of choosing and using appropriate mathematics and statistics to analyze, to better understand, and to improve mathematical understanding in real world situations. Students will represent and process their reasoning and conclusions numerically, graphically, symbolically, and verbally. Quantitative Literacy will help students develop conceptual understanding by supporting them in making connections between concepts and applying previously learned material to new contexts. Students will be expected to use technology, including graphing calculators, computers, or data gathering tools throughout the course. The standards are listed below and also provided in this PDF from the Arkansas Department of Education.

  1. Students will use appropriate mathematical models to solve problems.
  2. Students will use number sense and proportional reasoning in real world settings to make and communicate decisions in order to draw conclusions based on quantitative analysis.
  3. Students will apply statistical and probabilistic reasoning to draw conclusions, to make decisions, and to evaluate outcomes of decisions.
  4. Students will apply mathematics to make informed personal financial decisions.
  5. Students will understand the principles and mathematics in business as it applies to economics.

Advanced Placement (AP) Calculus: Calculus is a two-semester course designed to provide students with experience in the methods and applications of calculus and to develop an understanding of its concepts. This course emphasizes a multi-representational approach to Calculus, with concepts, results, and problems being expressed graphically, numerically, symbolically, analytically, and verbally through the use of unifying themes of derivatives, integrals, limits, application and modeling, and approximation. The standards are listed below and also provided in this PDF from the College Board (AP Central).

  1. Students will determine the limit of a function at a value numerically, graphically, and analytically.
  2. Students will use derivatives to solve problems both theoretically and in real-world context.
  3. Students will apply the techniques of integration to solve problems both theoretically and in contextual models that represent real-world phenomena.

Brianna Arrington

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