Standards for the lesson planData 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.

Standard 1:  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)

Standard 6:  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)

Standard 7:

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

Standard 9:  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