Curated OER
Parent Functions Reference
In this functions worksheet, students explore the graphs of fifteen parent functions. This worksheet is meant as a reference for students.
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Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
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Exponential Decay
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and describe...
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Exponential Reflections
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points. Learners examine the results to determine that the inverse is the natural log...
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
Project Maths
Introduction to e
First there was pi and now there's e. A discovery-based instructional activity helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The...
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Sonic Booms and Logarithms
Students practice working with the symbolic notation for logarithms. They understand various types of patterns and functional relationships. They use symbolic forms to represent and analyze mathematical situations.
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An Introduction to the Natural Logarithm (ln)
Students explore the dose response principle, an introduction to what the "natural log" (ln) is and how it behaves. They create and analyze a dose response graph.
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Worksheet #12 - Logarithms
In this worksheet, students convert exponential expressions into an equivalent logarithm and visa versa. They find the exact value of logarithmic expressions and determine the domain of a given function. Finally, students use...
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Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
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Will Exams Be Cancelled?
If the flu outbreak continues, exams will have to be canceled. Investigate the properties of exponential and logarithmic functions. In this algebra lesson, students use the TI to examine and differentiate between exponential growth and...
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Vertical and Horizontal Translations
Students analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
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Algebra II: Exponential Functions
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
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What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra lesson plan. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
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Derivatives of Exponential Functions
Learners listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Learners listen as...
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Test on Limits and Continuity
Students review concepts of logarithms for their test. In this calculus lesson plan, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Charging Up, Charging Down
Learners collect and analyze voltage data. Then, they investigate exponential functions using the TI and a Voltage Probe and graph their data and analyze it using a table.
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Buying Cars/Financing Cars Compound Interest
Provide a real world context in which exponential functions are used to determine a eal world phenomena such as compound interest and exponential growth. This lesson should be taught after young scholars have mastered the laws of...
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Linear and Exponential Models
Students investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. Students determine if the data is linear or exponential by plotting the data...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
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College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
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Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
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Negative Exponents
Students solve negative exponential functions. In this algebra instructional activity, students define the properties for rewriting functions with negative and zero exponents. They use a robot to create a visual of what is happening to...