1.04 Inverse Functions
In this video, students will learn about inverse functions and how the original function and its inverse are related.
1.05 Graphs of Functions
In this video, students will review the graphs of several common functions along with transformations, reflections, stretching, compressing, and symmetry.
3.01 Exponential Functions
In this video, students will learn the definition of exponential functions and their properties.
3.02 Exponential Graphs
In this video, students will learn to graph exponential functions.
3.03 Logarithmic Functions
In this video, students will learn the definition of logarithmic functions and their properties.
8.01 Conic Sections
In this video, students will learn the definition of a double-napped cone, and how conic sections are formed at the intersection of a plane and a double-napped cone.
8.02 Ellipses
In this video, students will learn the analytic definition of an ellipse, the standard form of the equation of an ellipse, and how to graph ellipses.
8.03 Hyperbolas
In this video, students will learn the analytic definition of a hyperbola, the standard form of the equation of a hyperbola, and how to graph hyperbolas.
8.05 Polar Coordinates and Equations
In this video, students will learn about the polar coordinate system and how to convert to and from the rectangular coordinate system.
8.06 Polar Graphs
In this video, students will learn how to graph polar curves.
8.07 Special Polar Graphs
In this video, students will learn the equations and graphs of special polar curves.
8.04 Parametric Equations
In this video, students will learn about parametric equations, how to sketch parametric curves, and the differences between parametric curves and rectangular graphs.
Graphing Proportional Relationships
Given a proportional relationship, students will be able to graph a set of data from the relationship and interpret the unit rate as the slope of the line.
Analyzing Scatterplots
Given a set of data, the student will be able to generate a scatterplot, determine whether the data are linear or non-linear, describe an association between the two variables, and use a trend line to make predictions for data with a linear association.
Writing Geometric Relationships
Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
Solutions of Simultaneous Equations
Given a graph of two simultaneous equations, students will be able to interpret the intersection of the graphs as the solution to the two equations.
Comparing and Explaining Transformations
Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations, and generalize and then compare and contrast the properties of congruence transformations and non-congruence transformations.
Mean Absolute Deviation
Given a set of data with no more than 10 data points, students will be able to determine and use the mean absolute deviation to describe the spread of the data.
Evaluating Solutions for Reasonableness
Given problem situations, the student will determine if the solutions are reasonable.
Predicting, Finding, and Justifying Solutions to Problems
Given application problems, the student will use appropriate tables, graphs, and algebraic equations to find and justify solutions to problems.