Straight edge and compass constructions. Why the constructions work. Developing the process of justification in the mathematical sense.
2 weeks
Axioms of Euclidean Geometry. Elementary results of Euclidean Geometry.
2 weeks
Symmetries of three-dimensional figures. Patterns relating number of edges, vertices and faces. The 5 Platonic solids.
1 week
Coordinate geometry. Symmetry and rotations in coordinate notation. Translations, reflections and rotations in coordinate notation. Composition of motions.
1-2 weeks
Linear relationships expressed via tables, graphs, formulas. Linear equations understood graphically and algebraically. Slope and intercepts. Developing a linear equation (or inequality) model from "real-world" data. Applications such as the relationship between Fahrenheit and Celsius temperatures.
1-2 weeks
Collecting, organizing and depicting information (data). Analyzing data - measures of central tendency, box-and-whisker plots, quartiles, percentiles, range, variance, standard deviation. Normal distribution.
2 weeks
Misleading graphs and statistics.
1.5 weeks
Probability. Experiment, sample space, event. Probability tree diagrams. Counting techniques (permutations, combinations, fundamental counting principle). Odds, conditional probability, expected value. Simulation. Understanding theoretical probability vs. experimental probability.
