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.
Students demonstrate an understanding of arithmetic and geometric sequences and series. 3.2 determine which type of function best models a situation, write an equation using technology where appropriate, and use this equation to answer questions about the situation. 3.3 find and interpret the maximum or minimum value of a quadratic function 3.4 find the value of a function for a given element in its domain and determine the natural domain of a given function Statistics, Data Analysis, and Probability 1. Students estimate relative frequency, compute probability, and demonstrate understanding of ways to make predictions from samples and experiments in situations involving uncertainty including dependent and conditional events. Inc. Other trademarks property of their respective holders.