9-12.1.2 Students will demonstrate the meaning and effects of arithmetic operations with real numbers.
9-12.1.2.a Use drawings, words, and symbols to explain the effects of such operations as multiplication and division, and computing positive powers and roots on the magnitude of quantities (e.g., if you take the square root of a number, will the result always be smaller than the original number? (e.g., square root of 1/4 = 1/2))
9-12.1.3.d Select, apply, and explain the method of computation when problem solving using real numbers (e.g., models, mental computation, paper-pencil, or technology)
9-12.1.4 Students will estimate and check reasonableness of answers using appropriate strategies and tools.
9-12.1.4.a Use estimation methods to check the reasonableness of real number computations and decide if the problem calls for an approximation or an exact number (e.g., 10 "pi" (pi) is approximately 3.14, square and cube roots)
9-12.1.4.b Distinguish relevant from irrelevant information, identify missing information and either find what is needed or make appropriate estimates
9-12.2 Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
9-12.2.1 Students will analyze characteristics, properties, and relationships among geometric shapes and objects.
9-12.2.1.a Identify and explain the necessity of and give examples of definitions and theorems
9-12.2.1.b Analyze properties and relationships among classes of two and three dimensional geometric objects using inductive reasoning and counterexamples
9-12.3.2 Students will model and analyze quantitative relationships.
9-12.3.2.a Model contextualized problems using various representations (e.g., graphs, tables, one variable equalities, one variable inequalities, linear equations in slope intercept form, inequalities in slope intercept form, system of linear equations with two variables)
9-12.4 Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
9-12.4.1 Students will formulate a question and design a survey or an experiment in which data is collected and displayed in a variety of formats, then select and use appropriate statistical methods to analyze the data.
9-12.4.1.a Interpret data represented by the normal distribution and formulate conclusions
9-12.4.1.b Compute, identify, and interpret measures of central tendency (mean, median, mode) when provided a graph or data set