Module: Algebra Essentials
Topic: explore how changing length or width changes the area of a rectangle.
Module: The Rectangular Coordinate System and Equations of Lines
Topic: distance in the plane
Module: Equations and Inequalities
Topic: write an inequality
Module: Function Basics
Topic: use the vertical line test to verify a one-to-one function
Module: Linear and Absolute Value Functions
Topic: write the equation of a linear function
Topic: find a correlation coefficient and use linear regression to fit linear models to data
Topic: find equations of lines parallel and perpendicular and going through a specific point
Module: Quadratic Functions
Topic: transformations of quadratic functions
Topic: manipulate vertex and axis of symmetry
Module: Power and Polynomial Functions
Topic: zeros from a graph with slider = a to change y-intercept
Module: Rational and Radical Functions
Topic: investigate how changing a constant in a rational function changes whether it is a removable discontinuity or a vertical asymptote
Module: Exponential and Logarithmic Functions
Topic: explore growth and decay
Topic: investigate how changing the base of the function changes its graph
Topic: investigate how adding or subtracting a constant from the input changes the graph of a logarithmic function
Module: Exponential and Logarithmic Equations and Models
Topic: plot points of interest and asymptote on a graph of growth/decay
Topic: use graphs to explore the change of base formula
Module: Systems of Equations and Inequalities
Topic: find equations for lines that produce systems with one, two, and zero solutions
Module: Conic Sections
Topic: use free variables to add a center, vertices, co-vertices, foci, and asymptotes to a graph
Topic: find the focus, directrix, and endpoints of the focal diameter of a parabola whose vertex is at the origin
Topic: find the vertex, axis of symmetry, focus, directrix, and endpoints of the focal diameter of a parabola whose vertex is not at the origin