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Worksheet
Curated OER

Exponential and Logarithmic Equations II

For Students 11th - 12th
In this exponential worksheet, students solve exponential and logarithmic equations. This three-page worksheet contains 31 problems. An answer sheet is provided on the third page.
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Interactive
Learning Games Lab

Logarithm Calculator

For Students 9th - 12th Standards
Support your young scientists' knowledge of logarithms with a quick video lesson. The instruction first presents the relationship between a base-10 logarithm and an exponential equation. It then demonstrates how to use a calculator to...
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Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
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Worksheet
Curated OER

Logarithmic Forms

For Students 11th - Higher Ed
There are 10 different problems related to particular logarithmic forms for learners to solve. They express each exponential form equation given in logarithmic form and write out the opposite of each form as illustrated.
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Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 10th - 12th Standards
You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...
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Activity
Illustrative Mathematics

Exponentials and Logarithms II

For Teachers 8th - 12th Standards
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
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Activity
Illustrative Mathematics

Exponentials and Logarithms I

For Teachers 8th - 12th Standards
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two discussion...
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Lesson Plan
Curated OER

Exponential Reflections

For Teachers 9th - 12th Standards
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
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Lesson Plan
Curated OER

Comparing Exponentials

For Teachers 9th - 12th Standards
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
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Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
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...
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Unit Plan
Curated OER

Linear and Exponential Functions

For Teachers 8th - 11th Standards
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...
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Lesson Plan
Curated OER

Exponential Decay

For Teachers 10th - 12th Standards
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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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
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
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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
EngageNY

Modeling with Exponential Functions

For Teachers 10th - 12th Standards
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
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Worksheet
Curated OER

Exponential and Logarithmic Equations

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve logarithmic and exponential equations in problem solving situations. The three page worksheet contains eleven problems. Answers are not provided.
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Lesson Plan
Alabama Learning Exchange

Logarithms: Undo the Exponential

For Teachers 9th - 12th Standards
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
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Lesson Plan
EngageNY

Bacteria and Exponential Growth

For Teachers 9th - 12th Standards
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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Handout
Macquarie University

Logarithms and Exponentials

For Students 9th - 12th Standards
Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while practicing...
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Lesson Plan
EngageNY

Logarithmic and Exponential Problem Solving

For Teachers 11th - 12th Standards
Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...
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Lesson Plan
EngageNY

The Most Important Property of Logarithms

For Teachers 9th - 12th Standards
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...
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Lesson Plan
Curated OER

Graphing Exponential And Logarithmic Functions

For Teachers 10th - 12th
In this logarithmic function worksheet, students solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet. Graph...
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Worksheet
Curated OER

Solving Exponential and Logarithmic Equations

For Students 10th - 12th
In this exponential and logarithmic equations worksheet, students solve given problems dealing with exponents and logarithms. This two-page worksheet contains 48 problems. Examples are provided.

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