Rational and Radical Functions Teacher Resources

In this operations and functions learning exercise, students add, subtract, multiply, and divide functions.  This one-page learning exercise contains 18 multi-step problems. 

In this algebra worksheet, 11th graders solve rational expressions, by combining the denominators and making them common. They solve word problems using algebra. There are 10 questions with an answer key.

Introduce your class to cube roots! You can show them this video, in which an instructor demonstrates how to find the cube root of a perfect cube. While this video is clear and well-made, it is appropriate only for more advanced learners...

Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...

In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...

Here the focus is on simplifying square root expressions. Showing how to rewrite a variable or integer radicand as a product of the perfect square factor and any remaining factors, is shown through examples. They also present...

In this Algebra II worksheet, 11th graders solve problems involving the laws of exponents, including fractional exponents, solve radical equations, and graph radical functions.  The ten page worksheet contains fifty-seven...

Trying to find a linear transformation is like finding a needle in a haystack. The second lesson plan in the series of 32 continues to explore the concept of linearity started in the first lesson plan. The class explores trigonometric,...

Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

Not all linear functions are linear transformations — show your class the difference. The first lesson plan in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations...

In this radical notation worksheet, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page worksheet contains...

Young scholars explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.

In this functions worksheet, students explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.

Students take an Algebra II/Trigonometry sample test.  In this Algebra II/Trigonometry sample sample test lesson, students take a sample test for Algebra 2/Trigonometry.  Students solve 39 multiple choice/short answer...

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...

Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...

Students model data using quadratic equations. In this algebra instructional activity, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.

Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 

Got that factoring thing down? Time to apply it! A helpful video explains the process of simplifying a rational expression, showing pupils how to factor a majority of expressions using special patterns. Here is a great way to begin...

Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.

Introduce the concept of domain and range with a video that starts with the formal definitions of the domain and range and moves on to the practical descriptions used to determine them. The presentation explains how to find the domain...

Do not always be maxed out by the vertex. A short video introduces the graphical display of the vertex and zeros of a quadratic function. The presenter provides the definitions of the minimum and maximum of the graph along with...