Curated OER
Test on Limits and Continuity
Young scholars review concepts of logarithms for their test. In this calculus instructional activity, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of...
Curated OER
Integration
In this college level calculus worksheet, students evaluate the given integrals. Problems include trigonometric and logarithmic functions. The two page worksheet contains twenty-six problems. Answers are not included.
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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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Negative Exponents
Learners solve negative exponential functions. In this algebra lesson, 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 the negative...
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Leap Into Exponential Functions
Learners use properties of exponents to solve equations. In this algebra lesson plan, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
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Save Your Change
Learners solve problems involving exponential, logarithmic, and scientific notations. Using calculators, students explore investment problems. They use a formula and logarithms to determine the years to earn a particular income, figure...
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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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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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L'Hopital's Rule
Learners discover and perfect methods of calculation based on rewriting, simplifying, and logarithmic L'Hopital when the traditional applications fail to produce a result.
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Properties of Fractals
Students 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...
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Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson plan, 12th graders examine a method of using long division to perform integration. The lesson plan includes a bingo worksheet on...
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Differentiation
In this college level calculus learning exercise, students differentiate functions including logarithms and trigonometric functions. The two page learning exercise contains twenty-six problems. Answers are not provided.
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Student Reading Log
Fourth graders read on a daily basis to enhance their reading experiences, and record their reading activities in reading log database at least every two weeks to practice their keyboarding skills.
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What's a Tree Worth?
Students calculate the board footage of a tree. In this forestry lesson, students use a Biltmore tree scale stick to calculate the number of board feet that would be produced. They quantify the economic value of a tree from this...
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Derivatives of Exponential Functions
Students 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. Students listen as...
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Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
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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...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Graphing Exponentials
Bring your Algebra class to the computer lab! Using materials created by Texas Instruments, they explore exponentiasl and graphs. Be sure to download the correct materials (on the right side of the webpage) before having them walk...
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Rumors
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
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