Curated OER
Logarithmic Transformations of Data
Young scholars investigate and study logarithmic equations. In this precalculus lesson plan, students analyze the data behind the function. They define each graph as positive, negative or no correlation. They find the line of best fit.
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Parent Functions Reference
For this functions worksheet, young scholars explore the graphs of fifteen parent functions. This worksheet is meant as a reference for students.
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Exponential Decay
Students study exponential decay and its application to radiocarbon dating. In this exponential decay instructional activity, students use candy to model the time it takes for something to decay. Students also graph the data they collect...
Kenan Fellows
Half-Life
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth instructional activity of seven integrating chemistry and algebra....
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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. For 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. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
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Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
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Linear and Exponential Models
Learners linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable lesson, students graph the residuals of sets of data that appear to have an exponential...
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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 students have mastered the laws of exponents and...
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Linear and Exponential Models
High schoolers investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. High schoolers determine if the data is linear or exponential by...
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Oodles of Poodles
Young scholars solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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Precalculus: Function Models for Real-Life Situations
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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Vertical and Horizontal Translations
Eleventh graders study seven functions. They use their handheld calculator to determine which family of functions the equation belongs, the parent function described, and they calculate the vertical and horizontal translation.
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Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson plan. High schoolers use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.
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Chill Out: How Hot Objects Cool
Teach how to explore exponential equations. In this Algebra II lesson, students investigate the graph that occurs as a hot liquid cools. Students model the data algebraically.
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...
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Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Properties of Fractals
Pupils build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial and...