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A. Data Analysis
- Select and use appropriate representations for sets of data,
and measures of central tendency (mean, median, and mode).
- Type of display most appropriate for given data
- Box-and-whisker plot, upper quartile, lower quartile
- Scatter plot
- Calculators and computer used to record and process information
- Make inferences and formulate and evaluate arguments based on
displays and analysis of data.
B. Probability
- Interpret probabilities as ratios, percents, and decimals.
- Model situations involving probability with simulations (using
spinners, dice, calculators and computers) and theoretical models.
- Frequency, relative frequency
- Estimate probabilities and make predictions based on experimental
and theoretical probabilities.
- Play and analyze probability-based games, and discuss the concepts
of fairness and expected value.
C. Discrete Mathematics—Systematic Listing and Counting
- Apply the multiplication principle of counting.
- Permutations: ordered situations with replacement (e.g.,
number of possible license plates) vs. ordered situations
without replacement (e.g., number of possible slates of 3
class officers from a 23 student class)
- Explore counting problems involving Venn diagrams with three
attributes (e.g., there are 15, 20, and 25 students respectively
in the chess club, the debating team, and the engineering society;
how many different students belong to the three clubs if there
are 6 students in chess and debating, 7 students in chess and
engineering, 8 students in debating and engineering, and 2 students
in all three?).
- Apply techniques of systematic listing, counting, and reasoning
in a variety of different contexts.
D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms
- Use vertex-edge graphs to represent and find solutions to practical
problems.
- Finding the shortest network connecting specified sites
- Finding the shortest route on a map from one site to another
- Finding the shortest circuit on a map that makes a tour
of specified sites
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