Math modeling will provide the structure, and content will be topics in applied math that engage students in real life situations. Much of the course will involve students working together, using math to solve problems.
The course will:
introduce new areas of mathematics (such as graph theory and informatics) as well as vital applications for citizenry (such as democratic decision-making), while reinforcing concepts and skills from previous math courses.
focus on problem-solving, covering topics through applications and modeling.
require students to justify and explain their thinking, often working in groups.
Sample Course Outline
SECTIONS
UNITS
A: Data in the Real World
Modeling Change with Functions: Families of functions including linear, polynomial, exponential and logarithmic
Interpreting Categorical Data: Introduction to probability, two-way frequency tables, conditional probability, independence, and randomized experiments
Statistical Inference: Rules of probability and applications to binomial distributions and analysis of surveys
B: Computing
Counting Methods: Rules of counting including permutations and combinations
Graph Theory Applications : Study of mathematical structures used to model pairwise relationships between objects
Informatics: Information processing with a focus on security, access and efficiency
C: Decision Making in the Real World
Financial and Business Decision Making
Fair decision-making relative to voting
D: Geometry in the Real World
3-D Representations: Visualizing and representing three-dimensional shapes using contour maps
Symmetries and Tilings: Study of patterns of geometric figures in the plane including tessellations, symmetry and frieze patterns