Students justify and use properties from number systems to combine and simplify functions and matrices. Students demonstrate understanding of the structure of standard measurement systems, use derived units, unit conversions, dimensional analysis, with appropriate accuracy. 1.2 use dimensional analysis to check answers and determine the units of a solution 1.3 use the concept of significant digits in giving answers to an appropriate degree of accuracy 2. Students select and use appropriate units, tools, and degrees of accuracy to solve problems involving geometric and non-geometric measures. Students identify, find missing measures, and solve problems involving angles, right triangles, other polygons, circles, planes and solid geometric objects.
Students demonstrate understanding of an axiomatic system, and the nature of proof.
4.1 identify and give examples of undefined terms, axioms, theorems, inductive, and deductive reasoning 4.2 construct and judge the validity of a logical argument including giving counterexamples and understanding quantifiers 5. Students identify, use, and prove relationships between figures involving congruence and similarity. 5.1 prove the Pythagorean Theorem using algebraic and geometric arguments as well as deductive proof. 5.2 identify similar and congruent triangles and other polygons and their corresponding parts 5.3 prove basic theorems about congruent triangles and other polygons using deductive, algebraic, and transformational arguments 6. Students visualize and describe objects, paths, and regions in space.