11 · 12 Finite Math AP Calculus AB/BC
This is a four bin course focusing on the AP Calculus course as defined by the AP College Board. The course will prepare students to take the AP Calculus AB/BC exam. The major topics covered will be limits, differentiation, integration, differential equations, and sequences and series.
Prerequisite(s) Precalculus with a grade of B or better
Length of Course 4 bins
Mod + Period
Part 1: 1A, 1B; Part 2: 2A, 2B; Part 3: 5A, 5B; Part 4: 6A, 6B
Credits Apply Toward Math
Grade Level(s) 11, 12
Teacher(s) St. Onge
In our modern world, there is a very practical need for mathematics to address problems in business, management, and the life or social sciences. Finite Mathematics is a course specifically designed with that need in mind. The first mod focuses on problems in linear optimization: maximizing or minimizing a particular quantity subject to numerous constraints. Here, students learn to use matrices as a valuable tool to represent and manipulate data. Mod 2 of the sequence focuses on probability theory. Important skills are developed through the study of entertaining applications: rolling dice, drawing cards, betting at the roulette table, etc. This initial exposure to probability leads students to develop a familiarity with the normal and binomial distributions, further empowering them to tackle more advanced problems involving probability. The third and final mod introduces skills that students will need to pursue a more rigorous course in statistical methods. A chief goal is to gain an initial exposure to a number of important statistical concepts: measures of central tendency, measures of variability, correlation between variables, and linear regression. Along the way, students will become familiar with a host of charts, tables, and graphs frequently used in statistical analysis.
Prerequisite(s) Algebra II
Length of Course 3 bins
Mod + Period
Part 1: 4A, 2C; Part 2: 5A, 4C; Part 3: 6A, 6C
Credits Apply Toward Math
Grade Level(s) 11, 12
Teacher(s) Whispell, Ritter Statistics
In examining distributions of data, students will learn to describe important characteristics, such as center, variability, shape, peaks, clusters, gaps, and the presence of outliers or other features. In doing so, students will learn to calculate the various statistics that are used to measure such characteristics. Students will also learn to apply appropriate techniques in planning and conducting statistical studies while dealing with issues pertaining to random sampling, survey bias, sample variation, confounding, and the important use of comparison groups. Students will learn the basics when it comes to linear regression analysis in coming up with linear models that best fit a particular set of data. Finally, a review of the general notion of probability will precede an examination of several important probability distributions that underlie much of statistical theory and analysis, most notably the binomial and normal probability distributions. Next, using the Central Limit Theorem of statistics as a theoretical springboard, students will focus on two important techniques that are fundamental in performing statistical inference, forming confidence intervals and conducting tests of significance. Through proper inferential methods, students will develop the ability to question the validity of certain assertions. Students will learn to draw sound inferences from data, create
confidence intervals, and test interpretation of computer hypotheses
regarding the values of specific parameters within sampled populations. Additional activities will focus on the
printouts that are
produced using common statistical software. After this class, students must either take a bin of AP Statistics of Game Theory Statistics.
Prerequisite(s) Finite Math or teacher approval
Length of Course 2 bins
Mod + Period
Part 1: 1C, 2B; Part 2: 3C, 4B
Credits Apply Toward Math
Grade Level(s) 12
Teacher(s) McCreedy
12
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