Grades 9/10/11 Introduction to Functions

In this lesson, students will solve both linear and quadratic single variable inequalities. Students will apply multiple strategies to solve quadratic inequalities in different contexts, and they will be introduced to interval notation as a way of expressing their solutions. 

In this lesson, students will interpret and graph linear and quadratic inequalities in two variables. They will use these types of inequalities to solve problems in different contexts.  

In this lesson, the reciprocal function is introduced for linear and quadratic functions. Their graphs are analyzed with a focus on the domain, range, and asymptote(s) of the reciprocal function.

In this lesson, the absolute value function is introduced. Absolute value functions are explored as transformations of the base absolute value function and as piecewise functions. Particular attention is paid to the absolute value of linear and quadratic functions.

In this lesson, absolute value equations are solved, both graphically and algebraically. Single-variable equations that include one absolute value with either a linear or quadratic argument will be considered.

All of the pencil and paper practice exercises, answers, and solutions for this unit are reproduced here.

This is a collection of additional, and sometimes challenging, problems that extend the material covered in this unit, connect material from different lessons, and further explore real-world applications.