### MA 11.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

#### 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 11.2: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

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

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.

#### 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.b: Identify and explain the properties used in solving equations and inequalities.

MA 11.2.2.c: Simplify algebraic expressions involving integer and fractional exponents.

MA 11.2.2.e: Evaluate expressions at specified values of their variables (polynomial, rational, radical, and absolute value).

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.h: Analyze and solve systems of two linear equations and inequalities in two variables algebraically and graphically.

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.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 11.3: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

#### MA 11.3.1: Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.

MA 11.3.1.a: Know and use precise definitions of ray, line segment, angle, perpendicular lines, parallel lines, and congruence based on the undefined terms of geometry: point, line and plane.

MA 11.3.1.c: Apply geometric properties to solve problems involving similar triangles, congruent triangles, quadrilaterals, and other polygons.

MA 11.3.1.d: Identify and apply right triangle relationships including sine, cosine, tangent, special right triangles, and the converse of the Pythagorean Theorem.

MA 11.3.1.e: Create geometric models to visualize, describe, and solve problems using similar triangles, right triangles, and trigonometry.

MA 11.3.1.f: Know and use precise definitions and terminology of circles, including central angle, inscribed angle, arc, intercepted arc, chord, secant, and tangent.

MA 11.3.1.g: Apply the properties of central angles, inscribed angles, angles formed by intersecting chords, and angles formed by secants and/or tangents to find the measures of angles related to the circle.

MA 11.3.1.h: Sketch, draw, and construct appropriate representations of geometric objects using a variety of tools and methods which may include ruler/straight edge, protractor, compass, reflective devices, paper folding, or dynamic geometric software.

#### MA 11.3.2: Students will determine location, orientation, and relationships on the coordinate plane.

MA 11.3.2.a: Derive and apply the midpoint formula.

MA 11.3.2.d: Derive and apply the distance formula.

MA 11.3.2.g: Perform and describe positions and orientation of shapes under a single translation using algebraic notation on a coordinate plane.

MA 11.3.2.h: Perform and describe positions and orientation of shapes under a rotation about the origin in multiples of 90 degrees using algebraic notation on a coordinate plane.

MA 11.3.2.i: Perform and describe positions and orientation of shapes under a reflection across a line using algebraic notation on a coordinate plane.

MA 11.3.2.j: Perform and describe positions and orientation of shapes under a single dilation on a coordinate plane.

MA 11.3.2.k: Derive the equation of a circle given the radius and the center.

### MA 11.4: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

#### MA 11.4.2: Students will analyze data to address the situation.

MA 11.4.2.a: Identify and compute measures of central tendency (mean, median, mode) when provided data both with and without technology.

MA 11.4.2.b: Explain how transformations of data, including outliers, affect measures of central tendency.

MA 11.4.2.d: Support conclusions with valid arguments.

MA 11.4.2.e: Develop linear equations for linear models to predict unobserved outcomes using the regression line and correlation coefficient with technology.

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.i: Using scatter plots, analyze patterns and describe relationships in paired data.

MA 11.4.2.j: Recognize when arguments based on data confuse correlation with causation.

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

#### MA 11.4.3: Students will interpret and apply concepts of probability.

MA 11.4.3.a: Construct sample spaces and probability distributions.

MA 11.4.3.c: Determine if events are mutually exclusive and calculate their probabilities in either case.

Correlation last revised: 5/20/2019

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