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### MA 11.1 Number

- MA.11.1.1 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 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 11.2 Algebra

- MA 11.2.1 Students will demonstrate, represent, and show relationships with functions.
- 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.

- MA 11.2.2 Students will apply the operational properties when evaluating rational expressions, and solving linear and quadratic equations, and inequalities.
- MA 11.2.2.c Simplify algebraic expressions involving integer and fractional exponents.

- MA 11.2.2.d Perform operations on rational expressions (add, subtract, multiply, divide, and simplify).

- MA 11.2.2.f Solve an equation involving several variables for one variable in terms of the others.

- MA 11.2.2.g Solve linear and absolute value equations and inequalities.

- MA 11.2.2.i Perform operations (addition subtraction, multiplication, and division) on polynomials.

- MA 11.2.2.j Factor polynomials to include factoring out monomial terms and factoring quadratic expressions.

- MA 11.2.2 k. Recognize polynomial multiplication patterns and their related factoring patterns (e.g., (a + b)² = a² + 2ab + b², a² – b² = (a + b) (a – b)).

- MA 11.2.2.l Make the connection between the factors of a polynomial and the zeros of a polynomial.

- MA 11.2.2.m Combine functions by composition and perform operations (addition, subtraction, multiplication, division) on functions.

- MA 11.2.2.n Solve quadratic equations involving real coefficients and real or imaginary roots.

- MA 11.2.3 Students will solve real-world problems involving linear equations and inequalities, systems of linear equations, quadratic, exponential, square root, and absolute value functions.
- MA 11.2.3.a Analyze, model, and solve real-world problems using various representations (graphs, tables, linear equations and inequalities, systems of linear equations, quadratic, exponential, square root, and absolute value functions).

### MA 11.4 Data

- MA 11.4.2 Students will analyze data to address the situation.
- MA 11.4.2.c Compare data sets and formulate conclusions.

- MA 11.4.2.d Support conclusions with valid arguments.

- MA 11.4.2.f Describe the shape, identify any outliers, and determine the spread of a data set.

- MA 11.4.2.g Explain the impact of sampling methods, bias, and the phrasing of questions asked during data collection, and the conclusions that can rightfully be made.

- MA 11.4.2.h Explain the differences between a randomized experiment and observational studies.

- MA 11.4.2.k Interpret data represented by the normal distribution, formulate conclusions, and recognize that some data sets are not normally distributed.