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eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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Lesson Plan
Curated OER

Differentiation Quiz

For Teachers 11th - 12th
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
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Worksheet
Curated OER

Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus

For Students 10th - 12th
In this logarithms worksheet, students evaluate and solve equations with logarithms.  They derive the formula for a derivative of a given function.  Students explain the differences between logarithms.  This one-page worksheet contains...
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Worksheet
Curated OER

Math 155 - Worksheet 10. Logarithm

For Students Higher Ed
In this logarithm learning exercise, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page learning...
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Lesson Plan
Curated OER

Review For Test: Logarithm And Exponential Functions

For Teachers 9th - 12th
Students investigate different concepts during a review that relate to logarithms and exponential functions. They review the derivatives of logs and exponential functions with the help of the problems used in the lesson as examples.
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Lesson Plan
Curated OER

Logarithmic Differentiation

For Teachers 9th - 12th
Young scholars engage in a lesson that is about the concept of logarithmic differentiation. They practice solving problems to take derivatives of expressions by applying logarithms. The lesson includes examples the teacher could use for...
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Worksheet
Curated OER

Properties of Logarithms

For Students 11th
In this algebra worksheet, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
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Worksheet
Curated OER

Calculus Test

For Students 9th - 11th
In this calculus activity, learners take the derivative of functions, solve logarithmic equations and derive log formulas. There are 25 questions on this test.
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Worksheet
Curated OER

Sudoku Puzzle: Logs and Exponentials

For Students 11th - 12th
In this logarithms and exponential worksheet, students solve 29 multiple choice problems.  Students use their answers to solve a sudoku puzzle.
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Lesson Plan
EngageNY

Changing the Base

For Teachers 10th - 12th Standards
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
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Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
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Lesson Plan
EngageNY

Newton’s Law of Cooling, Revisited

For Teachers 10th - 12th Standards
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
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Lesson Plan
EngageNY

Solving Exponential Equations

For Teachers 10th - 12th Standards
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...
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
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Lesson Plan
Curated OER

Lesson #55 Test on Logarithms and Exponentials

For Teachers 12th
Twelfth graders assess their knowledge of logarithmic and exponential functions.  In this calculus lesson, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions.  Students apply the derivatives...
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Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
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Lesson Plan
Curated OER

Logarithmic Differentiation

For Teachers 12th - Higher Ed
Students analyze the steps required to take the derivative of an equation. In this calculus instructional activity, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine...
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Worksheet
Curated OER

Algebra Skills Sections 23

For Students 9th - 12th
In this algebra skills worksheet, students solve/simplify 20 short answer problems. Students solve/simplify quadratic, absolute value, exponential, logarithmic, trigonometric, and radical equations/expressions.
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Lesson Plan
Curated OER

Derivatives of Exponential Functions

For Teachers 10th - 12th
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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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Unit Plan
Radford University

Earthquake Problem

For Teachers 9th - 12th Standards
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
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Worksheet
Curated OER

Differentiating Special Functions

For Students 11th - 12th
In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...
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Lesson Plan
Curated OER

Exponential Decay

For Teachers 10th - 12th Standards
Young scholars 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. Young scholars also graph the data they collect and...
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Worksheet
Curated OER

New Functions From Old, Part 1

For Students Higher Ed
In this function learning exercise, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page learning...