To examine mathematical functions in a modeling situation pupils combine quadratic and step functions to represent a presented scenario. They both graph and write a function to represent data shown in a table. 

Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...

Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...

Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...

Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...

Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...

Click on the download box to access this useful graphing lesson that includes worksheets for homework, assessment, and classroom work. The class graphs basic linear functions. They rewrite the equations from standard form into...

You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...

In this open sets worksheet, students give characteristics of an open set under given conditions. They graph functions and define limits. This two-page worksheet contains 3 multi-step problems with explanations.

Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.

Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...

How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...

Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson plan that covers sequence notation and function notation. Graphs are used to represent the number patterns.

Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...

"Step functions" are sometimes used to describe real-life situations. This extensive lesson with many practice examples demonstrates two such functions: the Greatest Integer Function and the Least Integer Function. The commands on the...

Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 

It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....

In this graphing trig functions instructional activity, students find the amplitude of each function. They graph the function. This four-page instructional activity contains 12 problems. Answers are provided on the last two pages.

Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.

Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.

In this algebra worksheet, students graph exponential functions and analyze it for growth and decay. There are 9 problems with an answer key.

For this algebra worksheet, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.

Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...

In this bar graph worksheet, students read about making quality bar graphs and they make a bar graph using given data. They answer 5 questions about their graph.