Algebraic Function Teacher Resources
Find Algebraic Function educational ideas and activities
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Students identify properties of a line. For this algebra lesson, students differentiate between functions and nonfunctions. They use the slope and y intercept to graph their lines.
Students graph polynomials functions and analyze the end behavior. For this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
High schoolers explore the concept of quadratic equations. In this quadratic equations lesson, students graph parabolas on their calculator and determine the vertex form of the function given the graph. High schoolers examine the vertex of the parabolas and which way the parabola opens.
This video continues to look at evaluating functions by looking at examples of evaluating basic composite functions.
After making a correction to the last problem in his previous video, Sal explains how to graph quadratic functions. Those who have a hard time with the concept of graphing algebraic functions will find Sal's instruction and easygoing manner a welcome change from staring at textbooks.
In this algebra functions worksheet, students review the definition of a function and the four different ways to represent a function. Students then determine if the four given examples represent functions. Students explain their answers.
In this algebra functions worksheet, students complete a table of x and y number pairs. Students then answer the three questions that follow.
Continuing with inverse trigonometric functions, Sal finds the value for tan^-1-1. He also shows the restricted domain of the arctan function.
Starting from a brief look at functions and the mapping of domains to ranges, Sal starts out with an intuitive sense of what a function inverse is. He then, using an example, shows how to find the inverse of a function and also shows how the graph of the function and its inverse are reflections over the y = x line. This video provides a good review of function inverses for more advanced students or a nice introduction for the beginning student.
Are odd numbers connected to odd functions and even numbers to even functions? This video tries to clarify that connection. It also talks about functions that are neither odd nor even to give a more intuitive feeling about classifying these functions.
What does it mean for two things to have a functional relationship? In this video, Sal takes the example of a table of values that map a personÕs name to their height and discusses how this is a functional relationship. He also considers how the table could be changed so that the relationship is no longer a function.
We look at a number of different examples of functions and see what their domain is. Sal writes the domain in set notion and shows how different functions can have different input values that cause the function to be undefined.
This video explores a basic linear cost equation. Given a rate-per-photo and a fixed-one time cost, write a function that represents the amount a customer would pay for x number of photos.
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches when it is thrown. They compare two different representations, a graph and an equation, of the height as a function of time. Answering the three questions the activity poses requires finding the vertex and roots of a quadratic equation using a method of choice and interpreting the solutions within the context of the problem. The exercise can be used for assessment or practice.
Apply quadratic function graphs to real-life scenarios to develop deeper comprehension through mathematical modeling. This lesson does not provide explicit activities, but rather can be used as a guide. It lists a variety of essential questions, assessment considerations, and instructional strategies that can be adapted to fit the needs of your classroom.
Students solve formulas by using substitution. In this algebra lesson, students utilize formulas introduced in the lesson which apply to science as well as volume and area. The lesson gives detailed instruction for solving each type of problem. Detailed answers to all practice problems are provided with step by step solutions to assist.
Students solve algebraic proportions. In this algebra lesson, students convert between fractions, percents and decimals. They solve problems using the distributive property.
Students investigate mathematics as it relates to the real world. In this algebra lesson plan, students solve quadratic equations and graph their results on a coordinate plane. They model quadratics and apply the quadratic formula to solve equations.
After defining a simple function from a word problem, this video, shows how one could find the domain and the range of that function. The goals here are to reinforce the definitions of domain and range with a concrete example.
New! Algebra Cheat Sheet
Full of info, this handout provides the rules, properties, and common mistakes found in an algebra course. This cheat sheet is a great resource for those hard-to-remember exponent rules and hyperbola equations, along with everything else your mathematicians need to remember. The first two pages are full of algebra topics, while the last page lists common errors and explanations. Great as a review for a big test Provide as a resource for learners to keep handy during notes and homework Use the margins to sketch graphs or extra notes