#### MA.1: The student will investigate and identify the characteristics of polynomial and rational functions and use these to sketch the graphs of the functions. This will include determining zeros, upper and lower bounds, y-intercepts, symmetry, asymptotes, intervals for which the function is increasing or decreasing, and maximum or minimum points. Graphing utilities will be used to investigate and verify these characteristics.

General Form of a Rational Function

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Vertex Form

Rational Functions

#### MA.2: The student will apply compositions of functions and inverses of functions to real-world situations. Analytical methods and graphing utilities will be used to investigate and verify the domain and range of resulting functions.

Function Machines 3 (Functions and Problem Solving)

#### MA.4: The student will expand binomials having positive integral exponents through the use of the Binomial Theorem, the formula for combinations, and Pascal?s Triangle.

Binomial Probabilities

#### MA.8: The student will investigate and identify the characteristics of conic section equations in (h, k) and standard forms. Transformations in the coordinate plane will be used to graph conic sections.

Addition and Subtraction of Functions

Circles

Ellipses

Hyperbolas

Parabolas

#### MA.9: The student will investigate and identify the characteristics of exponential and logarithmic functions in order to graph these functions and solve equations and real-world problems. This will include the role of e, natural and common logarithms, laws of exponents and logarithms, and the solution of logarithmic and exponential equations.

Compound Interest

Exponential Functions

Introduction to Exponential Functions

Logarithmic Functions

#### MA.11: The student will perform operations with vectors in the coordinate plane and solve real-world problems, using vectors. This will include the following topics: operations of addition, subtraction, scalar multiplication, and inner (dot) product; norm of a vector; unit vector; graphing; properties; simple proofs; complex numbers (as vectors); and perpendicular components.

Adding Vectors

Vectors

#### MA.13: The student will identify, create, and solve real-world problems involving triangles. Techniques will include using the trigonometric functions, the Pythagorean Theorem, the Law of Sines, and the Law of Cosines.

Circles

Distance Formula

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

Sine, Cosine, and Tangent Ratios

Surface and Lateral Areas of Pyramids and Cones

#### MA.14: The student will use matrices to organize data and will add and subtract matrices, multiply matrices, multiply matrices by a scalar, and use matrices to solve systems of equations.

Solving Linear Systems (Matrices and Special Solutions)

Translations

Correlation last revised: 9/16/2020