Standards for the lesson plan
Algebra: Olympic Races
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 8: Understands and applies basic and advanced properties of functions and algebra Grades 6-8 Benchmark 3: Understands various representations (e.g., tables, graphs, verbal descriptions, algebraic expressions, Venn diagram) of patterns and functions and the relationships among them Benchmark 4: Understands the basic concept of a function (i.e., functions describe how changes in one quantity or variable result in changes in another) Standard 9: Understands the general nature and uses of mathematics Grades 6-8 Benchmark 2: Understands that mathematicians often represent real things using abstract ideas like numbers or lines; they then work with these abstractions to learn about the things they represent Standard 1: Uses a variety of strategies in the problem-solving process Grades 6-8 Benchmark 3: Understands that there is no right way to solve mathematical problems but that different methods (e.g. working backward from a solution, using a similar problem type, identifying a pattern) have different advantages and disadvantages Benchmark 6: Generalizes from a pattern of observations made in particular cases, makes conjectures, and provides supporting arguments for these conjectures (i.e., uses inductive reasoning)
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