Functions Teacher Resources
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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.
This video continues to look at evaluating functions by looking at examples of evaluating basic composite functions.
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.
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.
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.
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.
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.
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.
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.
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!
Students explore the concept of exponents. For this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
Learners examine the wattage of a light bulb using math. In this algebra lesson, students find the inverse square of given parameter. They work in groups collecting and analyzing data.