La. Admin. Code tit. 28 § CV-705

Current through Register Vol. 50, No. 11, November 20, 2024

Section CV-705 - Mathematics

A. Number and Number Relations Strand (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 Strand (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 Strand (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 Strand (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 Strand (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.

La. Admin. Code tit. 28, § CV-705

Promulgated by the Department of Education, Board of Elementary and Secondary Education, Trade and Industrial Education, LR 30:2751 (December 2004), amended LR 32:559 (April 2006).

AUTHORITY NOTE: Promulgated in accordance with R.S. 17:6(A)(10) and R.S. 17:10.