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.

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.

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.

In this video, students will learn about the polar coordinate system and how to convert to and from the rectangular coordinate system.

In this video, students will learn how to graph polar curves.

In this video, students will learn the equations and graphs of special polar curves.

In this video, students will learn about parametric equations, how to sketch parametric curves, and the differences between parametric curves and rectangular graphs.

In this topic, students explore a variety of different functions. The intent is merely to introduce these new functions, providing an overview but not a deep understanding at this point. The topic is designed to help students recognize that different function families have different key characteristics. In later study in this course, they will formalize their understanding of the defining characteristics of each type of function.

In this topic, students explore sequences represented as lists of numbers, in tables of values, by equations, and as graphs on the coordinate plane. Students move from an intuitive understanding of patterns to a more formal approach of representing sequences as functions. In the final lesson of the topic, students are introduced to the modeling process. Defined in four steps—Notice and Wonder, Organize and Mathematize, Predict and Analyze, and Test and Interpret—the modeling process gives students a structure for approaching real-world mathematical problems.

In this topic, students focus on the patterns that are evident in certain data sets and use linear functions to model those patterns. Using the informal knowledge of lines of best fit that was built in previous grades, students advance their statistical methods to make predictions about real-world phenomena. They differentiate between correlation and causation, recognizing that a correlation between two quantities does not necessarily mean that there is also a causal relationship. At the end of this topic, students will synthesize what they have learned to decide whether a linear model is appropriate.

In this video, students will review the characteristics of quadratic functions.

In this video, students will learn about imaginary and complex numbers.

In this video, students will use the characteristics of polynomial functions to identify and graph them.

In this video, students will learn about long division, synthetic division, and various theorems associated with polynomials.

In this video, students will learn to identify characteristics of rational functions and graph them.

In this video, students will learn how to solve complex inequalities that are polynomial and rational in form.

In this video, we introduce frequency and relative frequency tables.

In this video, students will construct cumulative frequency tables.

In this video, we construct our first visual beyond listing data: dot plots. We also begin our discussion of center, shape, spread, and outliers, and compare dot plots.

In this video, we construct and compare stemplots, and continue our conversation about shape, center, spread, and outliers.