LAC 28:CV.705. Mathematics

A. Number and Number Relations (N). In problem-solving investigations, students demonstrate an understanding of the real number system and communicate the relationships within that system using a variety of techniques and tools. N-1-H | Demonstrating an understanding of the real number system. N-2-H | Demonstrating that a number can be expressed in many forms, and selecting an appropriate form for a given situation (e.g., fractions, decimals, percents, and scientific notation). N-3-H | Using number sense to estimate and determine if solutions are reasonable. N-4-H | Determining whether an exact or approximate answer in necessary. N-5-H | Selecting and using appropriate computational methods and tools for given situations (e.g., estimation, or exact computation using mental arithmetic, calculator, symbolic manipulator, or paper and pencil). N-6-H | Applying ratios and proportional thinking in a variety of situations (e.g., finding a missing term of a proportion). N-7-H | Justifying reasonableness of solutions and verifying results. B. Algebra (A). In problem-solving investigations, students demonstrate an understanding of concepts and processes that allow them to analyze, represent, and describe relationships among variable quantities and to apply algebraic methods to real-world situations. A-1-H | Demonstrating the ability to translate real-world situations (e.g., distance versus time relationships, population growth functions for diseases, growth of minimum wage, auto insurance tables) into algebraic expressions, equations, and inequalities and vice versa. A-2-H | Recognizing the relationship between operations involving real numbers and operations involving algebraic expressions. A-3-H | Using tables and graphs as tools to interpret algebraic expressions, equations, and inequalities. A-4-H | Solving algebraic equations and inequalities using a variety of techniques with the appropriate tools (e.g., hand-held manipulatives, graphing calculator, symbolic manipulator, or pencil and paper). C. Measurement (M). In problem-solving investigations, students demonstrate an understanding of the concepts, processes, and real-life applications of measurements. M-1-H | Selecting and using appropriate units, techniques, and tools to measure quantities in order to achieve specified degrees of precision, accuracy, and error (or tolerance) of measurements. M-2-H | Demonstrating an intuitive sense of measurement (e.g., estimating and determining reasonableness of results as related to area, volume, mass, rate, and distance. M-3-H | Estimating, computing, and applying physical measurement using suitable units (e.g., calculate perimeter and area of plane figures, surface area and volume of solids presented in real-world situations). M-4-H | Demonstrating the concept of measurement as it applies to real-world experiences. D. Geometry (G). In problem-solving investigations, students demonstrate an understanding of geometric concepts and applications involving one-, two-, and three-dimensional geometry, and justify their findings. G-1-H | Identifying, describing, comparing, constructing, and classifying geometric figures in two and three dimensions using technology where appropriate to explore and make conjectures about geometric concepts and figures. G-2-H | Representing and solving problems using geometric models and the properties of those models (e.g., Pythagorean Theorem or formulas involving radius, diameter, and circumference). G-3-H | Solving problems using coordinate methods, as well as synthetic and transformational methods (e.g., transform on a coordinate plane a design found in real-life situations). G-4-H | Using inductive reasoning to predict, discover, and apply geometric properties and relationships (e.g., patty paper constructions, sum of the angles in a polygon). G-5-H | Classifying figures in terms of congruence and similarity and applying these relationships. G-6-H | Demonstrating deductive reasoning and mathematical justification (e.g., oral explanation, informal proof, and paragraph proof. E. Data, Discrete Math, and Probability (D). In problem-solving investigations, students discover trends, formulate conjectures regarding cause-and-effect relationships, and demonstrate critical thinking skills in order to make informed decisions. D-2-H | Recognizing data that relate two variables as linear, exponential, or otherwise in: D-3-H | Using simulations to estimate probabilities (e.g., lists and tree diagrams). D-4-H | Demonstrating an understanding of the calculation of finite probabilities using permutations, combinations, sample spaces, and geometric figures. D-7-H | Making inferences from data that are organized in charts, tables, and graphs (e.g., pictograph; bar, line, or circle graph; stem-and–leaf plot or scatter plot). D-8-H | Using logical thinking procedures, such as flow charts, Venn diagrams, and truth tables. D-9-H | Using discrete math to model real-life situations (e.g., fair games or elections, map coloring). F. Patterns, Relations, and Functions (P). In problem-solving investigations, students demonstrate understanding of patterns, relations, and functions that represent and explain real-world situations. P-1-H | Modeling the concepts of variables, functions, and relations as they occur in the real world and using the appropriate notation and terminology. P-2-H | Translating between tabular, symbolic, or graphic representations of functions. P-3-H | Recognizing behavior of families of elementary functions, such as polynomial, trigonometric, and exponential functions, and, where appropriate, using graphing technologies to represent them. P-4-H | Analyzing the effects of changes in parameters (e.g., coefficients and constants) on the graphs of functions, using technology whenever possible. P-5-H | Analyzing real-world relationships that can be modeled by elementary functions.