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Lesson Plan
EngageNY

The Graph of the Natural Logarithm Function

For Teachers 10th - 12th Standards
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
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Lesson Plan
Curated OER

Logarithmic Form to Exponential Form and the Reverse

For Teachers 9th - 12th
In this algebra worksheet, students convert equations from logarithmic form to exponential form and do the reverse conversion. There are ten questions.
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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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Unit Plan
Virginia Tech

Unit Plan: Exponential and Logarithmic Functions

For Teachers 10th - 12th Standards
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
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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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Interactive
Curated OER

Logarithms For Analog Circuits

For Students 9th - Higher Ed
In this electric circuit worksheet, students answer a series of 16 questions about logarithms and how they are used in understanding analog circuits. This worksheet is printable and the answers are viewed on-line.
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Lesson Plan
Curated OER

Math B Regents Questions by Performance Indicator: Logarithms

For Teachers 10th - 12th
In this logarithms worksheet, students solve logarithm equations.  They read story problems and find equivalent expressions to given logarithms.  This three-page worksheet contains 13 problems.  Answers are provided on the last page.
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Worksheet
Curated OER

Natural Logarithm Rules

For Students 9th - 11th
In this algebra worksheet, students solve problems of logarithm using addition, subtraction, multiplication and division. There are 8 questions with an answer key.
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Worksheet
Curated OER

Investigating Patterns to Develop Logarithm Rules

For Students 11th - Higher Ed
In this logarithmic worksheet, students make conjectures regarding the rules for condensing and expanding logarithms by investigating patterns.  This is designed to be done as a group activity. 
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Worksheet
Curated OER

Rewrite as Single Logarithm

For Students 11th
In this algebra learning exercise, 11th graders rewrite logarithmic functions as a compression. They rewrite expanded form into condense form. There are 8 questions with an answer key.
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Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 9th - 12th
High schoolers explore the concept of logarithms.  In this logarithms lesson, students discuss the logarithm properties.  High schoolers use linear functions as a basis to develop the logarithm properites by substituting log b and log a...
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Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 10th - 12th
In this logarithm worksheet, students describe the steps in solving logarithm problems.  They determine the value of given logarithms and justify their answers.   This three-page worksheet contains 7 problems.  Answers are given at the...
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Lesson Plan
Curated OER

Logarithms

For Teachers 11th
In this algebra worksheet, 11th graders solve logarithmic functions using properties of logs. They apply the properties of exponents using exponential properties. There are 10 problems with an answer key.
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Worksheet
Curated OER

The Change of Base Formula: Logarithms

For Students 9th - 12th
In this logarithms activity, students solve 25 short answer problems.  Students use the change of base formula to solve each logarithmic expression in the calculator.
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Worksheet
Curated OER

Graphing Logarithms

For Students 9th - 11th
In this logarithms worksheet, students identify the domain and range of given logarithms. They sketch the graph on a coordinate plane. This four-page worksheet contains 12 multi-step problems. Answers are provided on the last two pages.
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Worksheet
Curated OER

The Meaning of Logarithms

For Students 9th - 11th
In this logarithms worksheet, students rewrite logarithms in exponential form. They convert other problems to logarithmic form. This four-age worksheet contains 36 problems. Answers are provided on the last two-pages.
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Worksheet
Curated OER

Logarithms #2

For Students 11th - 12th
In this Algebra II/Pre-Calculus worksheet, students simplify logarithmic expressions and use a calculator to determine the value of a logarithmic expression.  The three page worksheet contains a combination of twenty-five free response...
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Worksheet
Curated OER

Logarithms

For Students 11th - 12th
For this Algebra II worksheet, students simplify logarithmic expressions and solve logarithmic equations.  The four page worksheet contains a combination of thirty free response and multiple choice questions.  Answers are not provided. 
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Worksheet
Curated OER

Lesson 25 - Applications of Logarithmic Functions

For Students 9th - 12th
in this applications of logarithmic functions worksheet, students solve 11 short answer problems. Students use logarithms to find half lives, compound interest, and population growth given a word problem.
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Worksheet
Curated OER

PreCalculus - Logarithms #5

For Students 9th - 12th
In this logarithms learning exercise, students simplify 14 logarithms.  Students re-write each set of logarithms as a single logarithm and solve for the unknown variable.
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Interactive
Curated OER

Logarithmic Differentiation

For Students 12th
In this calculus worksheet, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply.  The one page interactive worksheet contains eleven problems.  Answers are included. 
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Lesson Plan
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
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...
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Handout
Del Mar College

Quick Reference Card

For Students 9th - 12th Standards
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. 
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Lesson Plan
EngageNY

The “WhatPower” Function

For Teachers 9th - 12th Standards
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are comfortable...