Louisiana Administrative Code › Title 28 - EDUCATION › Part CV - Bulletin 115-Trade and Industrial Education Content Standards Curriculum Framework: Drafting; Electricity; and Heating, Ventilating, Air Conditioning, and Refrigeration › Subpart 1 - General Provisions › Chapter 7 - Academic Cross-References › Section CV-705 - Mathematics

Current through Register Vol. 50, No. 6, June 20, 2024
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.
AUTHORITY NOTE:
					 Promulgated in accordance with
					 R.S.
					 17:6(A)(10) and
					 R.S.
					 17:10.