Radical Functions and Equations Teacher Resources

The rules still hold. By reviewing the meaning of exponents in arithmetic, the video takes a look at exponents in algebra. The resource develops the meaning of any number raised to the zero power. Taking the idea of exponents further,...

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 algebra learning exercise, students find the domain and range of radical functions. They are given an equation and asked to graph the function. There are 14 questions on this learning exercise, with an answer key.

In this algebra worksheet, students find all the real numbers for a radical equation. They verify that radicals have real numbers. There is an answer key.

In this algebra skills worksheet, students solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.

Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.

In this imaginary numbers learning exercise, students solve radical equations containing imaginary numbers. They multiply, divide, subtract and add problems. This one-page learning exercise contains ten problems.

Combine the given radical expressions. How? Do they have the same radical? Yes. Then they can be combined. Watch this video as the teacher explains how to combine the terms that can be combined and leave the terms as they are that need...

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...

Subtract the given radicals. Not so difficult really! If the radicals are like terms, then it's as simple as combining the coefficients. Yes, it's really that simple.

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...

Investigate rational exponents in this math instructional activity. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.

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

Scholars find a pattern from a geometric sequence and write the formula for extending it. The learning exercise includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 

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...

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,...

Students engage in a lesson that has them practice solving equations using multiplication and division. They practice solving problems using the properties needed and then students practice changing word problems into an equation.

Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.

Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Students make a scatter...

Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.

Learners calculate the volume of polyhedrons. In this algebra activity, students are asked to solve a complex problem. They identify the length of the edges and the volume of the shape.

Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...

Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...