Functions Teacher Resources
Find Functions educational ideas and activities
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Inverse Trig Functions: Arctan
Continuing with inverse trigonometric functions, Sal finds the value for tan^-1-1. He also shows the restricted domain of the arctan function.
Functions in Motion
Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
Renting Cars, Stealing Money, and Linear Functions
When comparing pricing models, young mathematical consumers, create linear equations and analyzing them graphically and algebraically. They look at the meaning of slope and intercepts, as well as the intersection points of lines.
High schoolers are introduced to the techniques associated with interpreting functions. The vocabulary associated with this technique is reviewed, then pupils view a PowerPoint (embedded in the plan), that shows how to interpret functions. Learners then break into four groups and complete the assignments given by the teacher. Fantastic lesson!
Functions and Everyday Situations
Use real world scenarios to facilitate discussion of the relationship between variables and how they are represented graphically and analytically. This can work in part as an introduction to functions, as a complete lesson, or as an extension to a unit on the library of functions.
Transformation of Functions Exploration
Functions are on the move! This lesson plan provides an opportunity for learners to explore transformations of functions. The activity illustrates the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for both positive and negative values of k. Working in small groups, students complete a table of values for a parent function and an assigned transformation of that function. After sketching both graphs on the same coordinate plane, they analyze their results and write a conjecture about how the value of k affects the original function. Each group shares its findings with the class. The results of the activity are reinforced by using graphing calculators to graph the functions and comparing with the sketches done with pencil and paper. The activity concludes with learners applying what they have learned to write equations for functions when given their graphs.
Asymptotes of Rational Function
Though longer than his other algebra videos at just over twenty-one minutes, this lesson is important for viewers to understand graphing rational functions and asymptotes. The most valuable part of the video is the way that Sal explains the process behind graphing rational functions, allowing viewers to have ownership over their own skills and knowledge.
Exponential Growth Functions
Sal solves several problems involving exponential growth functions for two reasons. First, he wants to familiarize viewers with the process, especially if they find problems with exponents challenging or daunting. Second, Sal wants to show how "dramatic" exponential functions can be - helping them become even more comfortable and appreciative of algebra and all its functions.
Expressions, Equations, and Functions
Here is an unexpected resource: chapter 1 of an Algebra textbook. You can use all or some of its contents to teach your Middle Schoolers all about algebraic expression, domain, function notation, linear equations, order of operations, input/output, ordered pairs, and variable expressions. This would be great for a substitute or newer teacher looking for reliable tools.
Functions Part 2
This video continues to look at evaluating functions by looking at examples of evaluating basic composite functions.
Introduction to Functions
In this introduction to functions video, Sal gives an intuitive definition of what a function is and introduces the function notion, f(x). He finishes the video by looking at a simple example of evaluating g(f(x)) without getting into much of the complexity of composite functions.
Introduction the TI-92
Students explore the TI-92. In this secondary mathematics instructional activity, students examine the applications and functions of the TI-92. Students investigate symbolic manipulation, 2D and 3D graphing, the interactive geometry module and the programming and text editor.
Formulae and Function
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.
Solve algebraic proportions.
Students solve algebraic proportions. In this algebra instructional activity, students convert between fractions, percents and decimals. They solve problems using the distributive property.
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would be a great set of worksheets to accompany an entire chapter.
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Worksheet 3.1 Functions
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition, they read the information provided and translate as much as they can into mathematical expressions.
Model and Solve Algebraic Equations
Examine multiple ways to solve algebraic equations. Pupils will generate a problem solving strategy that addresses the prompt given by the teacher. They will then share their problem solving strategy with the class. Graphic organizers, problem solving prompts, and tables are included.
Solving the Unknown with Algebra: Lesson 3: Functions and Formulas/Square Roots
This lesson has a number of fun worksheets for a pre-algebra or beginning algebra class. The main emphasis of this lesson is functions, formulas, and looking at square roots. It is the third lesson in a series on solving for unknowns, which you can find if you look first at the "Getting Started" link. This lesson, in particular, focuses on developing an understanding between the inverse relationship of squaring a number and taking its square root, finding probabilities, and creating linear equations and solving problems.
Monster Frog Function Machine
Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the lesson! One student takes the input numbers and creates an output number. After enough have been done, learners try to figure out the rule that is being used. A good teaching idea!