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Interactive
CK-12 Foundation

Solving Logarithmic Equations

For Students 11th - Higher Ed Standards
Pupils follow a chain of reasoning in deconstructing a logarithmic equation step by step. Using their knowledge of logarithms, learners compare the solutions of logarithmic equations when the bases are changed.
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Interactive
CK-12 Foundation

Change of Base: River Logs

For Students 11th - Higher Ed Standards
Using the answers to the challenge questions, class members work through simplifying a complex logarithmic expression that requires changing bases. Pupils drag values to fill in the steps to arrive at a numerical equivalent expression.
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Lesson Plan
Curated OER

Logarithmic Functions

For Teachers 9th - 12th
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
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Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 11th
In this algebra worksheet, 11th graders solve logarithmic problems using the properties of logs. They condense and expand logs using the correct properties. There are 78 problems with an answer key.
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Interactive
CK-12 Foundation

Logarithm Properties: The Log Properties

For Students 11th - Higher Ed Standards
Roll a log into an equivalent expression. Given four expanded logarithmic expressions, pupils write an equivalent condensed expression. They identify which properties allows for the simplification.
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Worksheet
University of Kansas

Exponential and Logarithm Problems

For Students 9th - 12th Standards
This worksheet manages to provide both fun and serious work solving exponential and logarithmic application problems in engaging story lines and real-life situations. A strong emphasis on science applications and numbers pulled straight...
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Interactive
CK-12 Foundation

Logarithms: Logarithm Triangle

For Students 10th - 12th Standards
Study logarithmic properties using a triangle. A clever manipulative shows how a triangle can represent the three parts of a logarithmic or exponential equation. Pupils review the concept and then answer guiding questions to further...
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Interactive
CK-12 Foundation

Logarithmic Differentiation: Graphing the Derivative of a Logarithm

For Students 11th - Higher Ed
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
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Handout
1
1
Shoreline Community College

Properties of Logarithmic Functions

For Students 9th - 12th Standards
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its connection to...
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Lesson Plan
Curated OER

Reading Graphs with a Logarithmic Scale

For Teachers 7th - 12th
Guide high school meteorologists through a detailed examination of oxygen concentration data. The learners analyze a line graph containing logarithmic data and employ the use of a graphing calculator. A comprehensive worksheet and links...
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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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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

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
1
1
Teach Engineering

Common and Natural Logarithms and Solving Equations

For Teachers 9th - 12th Standards
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
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Worksheet
Curated OER

The Change of Base Formula: Logarithms

For Students 9th - 12th
In this logarithms worksheet, 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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Lesson Plan
Curated OER

Logarithmic Transformations

For Teachers 9th - 12th Standards
Using the TI calculator to visualize and make predictions, students perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
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Lesson Plan
Curated OER

Graph Logarithms

For Teachers 9th - 12th Standards
Mathematicians graph logarithmic equations. Teach your students how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.
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Lesson Plan
Curated OER

Properties of Logarithmic Functions

For Teachers 8th - 10th
Students solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
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Worksheet
Curated OER

Logarithmic Functions as Inverses

For Students 10th - 12th Standards
In this algebra worksheet, students solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
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Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 9th - 12th
Students explore the concept of logarithms.  In this logarithms lesson, students graph logarithms on their Ti-Nspire calculator.  Students describe the shapes of their graphs by identifying slope, y-intercepts, and roots.  Students...
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Lesson Plan
EngageNY

Percent Rate of Change

For Teachers 10th - 12th Standards
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
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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
2
2
West Contra Costa Unified School District

Fractional Exponents

For Teachers 9th - 12th Standards
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson plan introduces and thoroughly explains the Algebra II concept, and closes with a variety of example...
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Worksheet
Curated OER

Change of Base Rule

For Students 9th - 12th
In this change of base rule learning exercise, students rewrite 6 logarithm problems as a single logarithm using the change of base rule.  Students rewrite division of logarithms with the same base as a single logarithm.