Louisiana Administrative Code › Title 28 - EDUCATION › Part LXXXI - Bulletin 110-Technology Education Content Standards Curriculum Framework › Subpart 3 - Appendices › Chapter 27 - Appendix A. Academic Cross References › Section LXXXI-2705 - 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-M
Demonstrating that a rational number can be
								expressed in many forms, and selecting an appropriate form for a given
								situation (e.g., fractions, decimals, and percents).
N-2-M
Demonstrating number sense and estimation skills
								to describe, order, and compare rational numbers (e.g., magnitude, integers,
								fractions, decimals, and percents).
N-3-M
Reading, writing, representing, and using rational
								numbers in a variety of forms (e.g., integers, mixed numbers, and improper
								fractions).
N-4-M
Demonstrating a conceptual understanding of the
								meaning of the basic arithmetic operations (add, subtract, multiply, and
								divide) and their relationships to each other.
N-5-M
Applying an understanding of rational numbers and
								arithmetic operations to real-life situations.
N-6-M
Constructing, using, and explaining procedures to
								compute and estimate with rational number employing mental math strategies.
N-7-M
Selecting and using appropriate computational
								methods and tools for given situations involving rational numbers (e.g.,
								estimation, or exact computation using mental arithmetic, calculator, computer,
								or paper and pencil).
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
								is 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-M
Demonstrating a conceptual understanding of
								variables, expressions, equations, and inequalities (e.g., symbolically
								represent real-world problems as linear terms, equations, or inequalities).
A-2-M
Modeling and developing methods for solving
								equations and inequalities (e.g., using charts, graphs, manipulatives, and/or
								standard algebraic procedures).
A-3-M
Representing situations and number patterns with
								tables, graphs, and verbal and written statements, while exploring the
								relationships among these representations (e.g., multiple representations for
								the same situation).
A-4-M
Analyzing tables and graphs to identify
								relationships exhibited by the data and making generalizations based upon these
								relationships.
A-5-M
Demonstrating the connection or algebra to the
								other strands and to real-life 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-M
Applying the concepts of length, area, surface
								area, volume capacity, weight, mass, money, time, temperature, and rate to
								real-world experiences.
M-2-M
Demonstrating an intuitive sense of measurement
								(e.g., estimating and determining reasonableness of measures).
M-3-M
Selecting appropriate units and tools for tasks by
								considering the purpose for the measurement and the precision required for the
								task (e.g., length of a room in feet rather than inches).
M-4-M
Using intuition and estimation skills to describe,
								order, and compare formal and informal measures (e.g., ordering cup, pint,
								quart, gallon; comparing a meter to a yard).
M-5-M
Converting from one unit of measurement to another
								within the same system. (Comparisons between systems, customary and metric,
								should be based on intuitive reference points, not formal computation.)
M-6-M
Demonstrating the connection of measurement to the
								other strands and to real-life situations.
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 the one-, two-,
				  and three-dimensional geometry, and justify their findings.
G-1-M
Using estimation skills to describe, order, and
								compare geometric measures.
G-2-M
Identifying describing, comparing, constructing,
								and classifying geometric figures and concepts.
G-3-M
Making predictions regarding transformations of
								geometric figures (e.g., make predictions regarding translations, reflections,
								and rotations of common figures).
G-4-M
Constructing two- and three-dimensional models.
G-5-M
Making and testing conjectures about geometric
								shapes and their properties.
G-6-M
Demonstrating an understanding of the coordinate
								system (e.g., locate points, identify coordinates, and graph points in a
								coordinate plane to represent real-world situations).
G-7-M
Demonstrating the connection of geometry to the
								other strands and to real-life situations (e.g., applications of the
								Pythagorean Theorem).
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 of
								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, cum 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-3-H
Using simulations to estimate probabilities (e.g.,
								lists and tree diagrams).
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. 6:(A)(10) and
					 R.S.
					 17:10.