Class Information

In this course, students will explore searching for quantities and relationships, sequences, linear regressions, linear functions, functions derived from linear relationships, systems of equations and inequalities, and exponential functions.

Module 1: Search For Powers- Students extend their understanding of functions to explore specific function families, including linear, exponential, quadratic, linear absolute value, and linear piecewise functions. They analyze and search for patterns in sequences of numbers to recognize that all sequences are functions. Finally, students analyze patterns in data to formalize their understanding of lines of best fit.

Module 2: Exploring Constant Change- Students investigate linear functions as the most basic polynomial function and prove that linear functions grow by equal differences over equal intervals. They are introduced to function transformation and investigate dilations and vertical translations of linear functions. They extend their knowledge of solving one-variable equations to solve more complex equations and inequalities; and they learn more sophisticated strategies to solve linear systems of equations. Finally, students connect what they know about absolute value of a number and the line y = x to build the basic absolute value function. They transform and learn strategies to solve absolute value functions.

Module 3: Investigating Grown and Decay- Students learn that certain geometric sequences can be defined as exponential functions. Through the investigation of exponential functions, they develop an understanding of rational exponents. Students transform exponential functions and distinguish between growth and decay scenarios.

Module 4: Maximizing and Minimizing- Students explore quadratic functions in real-world situations using graphing technology. They rewrite quadratic functions in different equivalent forms to reveal certain properties and apply what they know about function transformation. Students solve quadratic equations and complete the square to derive the Quadratic Formula. They explore complex numbers and complex solutions to quadratic equations.