Algebraic Function Teacher Resources

Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...

Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...

In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...

Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...

Your algebra learners will build an exponential equation given a graph with two specific points labeled. 

Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...

Turn your algebra learners into meteorologists. Students are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two displays the...

Challenge your students' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require...

Students solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change.  They graph their lines on the TI and observe changes in the lines.

Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.

Everyone seems to freeze when they see a fraction! Give your classes a lesson to watch and rewatch until they are comfortable with the process of solving rational equations. A video presenter demonstrates solving two rational equations....

The last step of solving a quadratic factoring problem is often the stumbling block for algebra learners. Setting each factor equal to zero and solving the mini-equations isn't an intuitive process to learners new to the zero...

A very brief explanation on solving a function for a given value. All you have to do is plug in the value.

Exponential functions often involve the rate of increase or decrease of something. When it's a rate of increase, you have an exponential growth function! The instructor discusses exponential function and how to determine if a value makes...

In this domain and range worksheet, students identify the domain and/or range for twenty-one free-response and multiple choice problems.  The functions include trigonometric functions.  The solutions are provided.

What do you get when you graph a quadratic function? Not a line, that's the graph of a linear equation. The graph of a quadratic function is a curved line, either opening upward like a smile, or opening downward like a frown. The...

The teacher illustrates two different exponential tables and explains what each one of them means. These are function tables, one demonstrates exponential growth and the other exponential decay. She clarifies how to analyze the...

If your algebraic expression is a ratio of two polynomials then you have a rational expression. Find out what that might look like.

Does this word problem describe exponential growth? Is something increasing? Is it increasing at a constant rate? How much is it increasing? Use the function formula for exponential growth to figure out this problem.

Divide, dividend, divisor? Will the real divisor please stand up? How do you know which part of a division problem is the divisor when you have a rational expression of algebraic fractions? Just remember it's the second number or the one...

Multiply algebraic fractions. But first cancel or reduce the numerators and denominators, then do the multiplying. Cancel out the common factors in these monomials. It is always a good idea to reduce as much as possible before...

You've got some algebraic fractions in an equation and their denominators are all different. Well, first you need to strategize. Then find the excluded values that make your denominator equal zero because we know the denominator cannot...