PROBLEM SOLVING REPRESENTATIONS COMMUNICATION CONNECTIONS 28
Approved by the Nebraska State Board of Education 9/4/15
Nebraska Mathematics Standards
Grades 9 – 11
MA 11.1 NUMBER: Students will communicate number sense concepts using multiple
representations to reason, solve problems, and make connections within mathematics
and across disciplines.
MA.11.1.1 Numeric Relationships: Students will demonstrate, represent, and show relationships among
the subsets of real numbers and the complex number system.
MA 11.1.1.a Compare and contrast subsets of the complex number system, including imaginary, rational, irrational,
integers, whole, and natural numbers.
MA 11.1.1.b Recognize that closure properties apply to the subsets of the complex number system, under the
standard operations.
MA 11.1.1.c Use drawings, words, and symbols to explain the effects of operations such as multiplication and division
on the magnitude of quantities in the real number system, including powers and roots (e.g., if you take the square
root of a number, will the result always be smaller than the original number?).
MA 11.1.2 Operations: Students will compute with real and complex numbers.
MA 11.1.2.a Compute with subsets of the complex number system, including imaginary, rational, irrational, integers,
whole, and natural numbers.
MA 11.1.2.b Simplify expressions with rational exponents.
MA 11.1.2.c Select, apply, and explain the method of computation when problem solving using real numbers (e.g.,
models, mental computation, paper-pencil, or technology).
MA 11.1.2.d Use estimation methods to check the reasonableness of real number computations and decide if the
problem calls for an approximation (including appropriate rounding) or an exact number.
MA 11.2 ALGEBRA: Students will communicate algebraic concepts using multiple
representations to reason, solve problems, and make connections within mathematics
and across disciplines.
MA 11.2.1 Algebraic Relationships: Students will demonstrate, represent, and show relationships with
functions.
MA 11.2.1.a Define a function and use function notation.
MA 11.2.1.b Analyze a relation to determine if it is a function given graphs, tables, or algebraic notation.
MA 11.2.1.c Classify a function given graphs, tables, or algebraic notation, as linear, quadratic, or neither.
MA 11.2.1.d Identify domain and range of functions represented in either algebraic or graphical form.
MA 11.2.1.e Analyze and graph linear functions and inequalities (point-slope form, slope-intercept form, standard
form, intercepts, rate of change, parallel and perpendicular lines, vertical and horizontal lines, and inequalities).
MA 11.2.1.f Analyze and graph absolute value functions (finding the vertex, symmetry, transformations, determine
intercepts, and minimums or maximums using the piecewise definition).
MA 11.2.1.g Analyze and graph quadratic functions (standard form, vertex form, finding zeros, symmetry,
transformations, determine intercepts, and minimums or maximums).
MA 11.2.1.h Represent, interpret, and analyze inverses of functions algebraically and graphically.