Academic Standards

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 12.2.1: 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).

Absolute Value with Linear Functions

Zap It! Game

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

Cosine Function

Sine Function

Tangent Function

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

Cosine Function

Sine Function

Tangent Function

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

Absolute Value with Linear Functions

Addition and Subtraction of Functions

Introduction to Exponential Functions

Rational Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Translations

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

Cosine Function

Sine Function

Tangent Function

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

MA 12.2.2.c: Create an invertible function from a non-invertible function by restricting the domain (e.g.,arcsin, arccos, and arctan).

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.

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

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.

Absolute Value with Linear Functions

Exponential Functions

General Form of a Rational Function

Graphs of Polynomial Functions

Logarithmic Functions

Quadratics in Factored Form

Radical Functions

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.

Absolute Value with Linear Functions

Parabolas

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.

Ellipses

Hyperbolas

Translating and Scaling Functions

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 12.4.2: 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.

Describing Data Using Statistics

Polling: City

Polling: Neighborhood

Real-Time Histogram

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.

Binomial Probabilities

Probability Simulations

Theoretical and Experimental Probability

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

Estimating Population Size

Probability Simulations

Theoretical and Experimental Probability

Correlation last revised: 1/19/2017