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Exponential Function Teacher Resources
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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.
Learners investigate the graphs of exponential functions and their inverses by using both a table of values and a graphing calculator. They apply their observations about domains, ranges, and asymptotes to generate graphs of the inverses of exponential functions. The homework assignment emphasizes the inverse nature of logarithmic and exponential functions and includes practice in converting from one form to the other.
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M & Ms on a checkerboard and mark the number on a graph. They double the number for each space on the board and create a graph of the data.
What does it mean for something to grow exponentially, and how does that compare to linear growth? This activity tries to help learners gain an understanding of these concepts while modeling real-world problems. Linear and exponential functions are created, compared, and interpreted in relation to the problem. An excellent problem to motivate a deeper understanding of different types of functions.
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and exponential functions in a series of hands-on lessons that include worksheets, assessments, and answer keys.
Learners identify the importance of studying exponential decay. In this quadratic functions lesson, students simulate radioactive decay in small groups. Learners also present the results found in the investigation and explain why an exponential decay function is an exponential function.
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these applications including creating tables, graphs, and equations. Use part or all of this great resource.
Let your class decide which is the better deal. Here is a very basic worksheet that uses two different cash prize set-ups to compare linear and exponential models. The homework assignment focuses on exponential functions in the form of compound interest problems. Be sure to proofread the handout prior to distributing it because it has some minor typographical errors.
Students explore the concept of exponential functions. In this exponential functions lesson, students model exponential growth about a high school population using an applet. Students manipulate the applet to show the effect that a change in the values of a, b, h, and k have on the equation.