#### MA 12.1: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 12.1.1.a: Graph complex numbers on the complex plane.

MA 12.1.1.f: Derive and use the formulas for the general term and summation of finite arithmetic and geometric series.

MA 12.1.2: Students will compute with matrices.

MA 12.1.2.b: Add, subtract, and multiply matrices of appropriate dimensions.

#### MA 12.2: Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 12.2.1: Students will demonstrate, represent, and show relationships with non-linear and trigonometric functions.

MA 12.2.1.a: Analyze and graph non-linear functions (e.g., quadratic, trigonometric, square root, logarithmic, rational, higher-order polynomials, exponential, absolute value, piecewise, and sinusoidal).

MA 12.2.1.b: Use the unit circle to define the trigonometric functions on all real numbers.

MA 12.2.1.c: Evaluate sine, cosine, and tangent functions at positive and negative multiples of 30, and 45 degrees.

MA 12.2.1.d: Create new functions out of existing functions using addition, subtraction, multiplication, division, translation, dilation, and composition.

MA 12.2.1.g: Convert between radian and degree measures of an angle.

MA 12.2.2: Students will apply the identities when evaluating and solving trigonometric equations.

MA 12.2.2.d: Find the period, amplitude, and midline of a trigonometric function of the form y=A + Bsin (Cx), where A, B, and C are parameters, and identify these properties on a graph of the function.

#### MA 12.3: Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 12.3.2: Students will determine location, orientation, and relationships on the coordinate plane.

MA 12.3.2.a: Identify features of a function (e.g., local and global maxima and minima, concavity, approximate locations of points of inflection and vertical and horizontal asymptotes) from its graph.

MA 12.3.2.b: Identify symmetry properties of a function (e.g., axis of symmetry of a parabola) and know the connection between its symmetry properties and specific transformations.

MA 12.3.2.c: Recognize that vector quantities have both magnitude and direction and can be represented by directed line segments.

MA 12.3.2.d: Add and subtract vectors graphically and algebraically.

MA 12.3.2.f: Derive the equations of parabolas, ellipses, and hyperbolas from a graph or given parameters.

MA 12.3.3: Students will perform and compare measurements and apply formulas.

MA 12.3.3.a: Use Cavalieri?s Principle to determine the volume of a sphere and other solid figures.

MA 12.3.3.b: Determine the tolerance interval and percent of error in measurement.

#### MA 12.4: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 12.4.2: Analysis & Applications: Students will analyze data to address the situation.

MA 12.4.2.a: Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

MA 12.4.3: Probability: Students will interpret and apply concepts of probability.

MA 12.4.3.a: Calculate the expected value of a random variable and interpret it as the mean of a probability distribution.

MA 12.4.3.b: Determine possible outcomes of a decision by assigning probabilities to outcome values and finding expected values.

MA 12.4.3.d: Analyze decisions and strategies using probability concepts (e.g., medical testing and product testing).

Correlation last revised: 9/24/2019

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.