Standards for the lesson plan
Data and Probability: What's the Chance?
These standards and benchmarks are from McREL's online database, Content Knowledge: A Compendium of Standards and Benchmarks for K-12 education (4th edition, 2004) (http://www.mcrel.org/standards-benchmarks/.) The mathematics portion of the database was developed using National Council of Teachers of Mathematics (NCTM) standards in addition to other nationally recognized standards documents.
Uses a variety of strategies in the problem-solving process
Benchmark 1: Uses a variety of strategies (e.g., identify a pattern, use equivalent representations) to understand new mathematical content and to develop more efficient solution methods or problem extensions
Benchmark 4: Constructs logical verifications or counter examples to test conjectures and to justify algorithms and solutions to problems (i.e., uses deductive reasoning)
Understands and applies basic and advanced concepts of statistics and data analysis
Benchmark 1: Selects and uses the best method of representing and describing a set of data (e.g., scatter plot, line graph, two-way table)
Benchmark 1: Understands and applies basic and advanced concepts of probability
Benchmark 3: Uses experimental and simulation methods (e.g., Monte Carlo simulations, statistical experiments, counting techniques) to determine probabilities
Benchmark 4: Understands the differences among experimental, simulation, and theoretical probability techniques and the advantages and disadvantages of each
Understands the general nature and uses of mathematics
Benchmark 7: Understands that mathematics provides a precise system to describe objects, events, and relationships and to construct logical arguments
Benchmark 10: Understands that mathematicians commonly operate by choosing an interesting set of rules and then playing according to those rules; the only limit to those rules is that they should not contradict each other