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...
Lesson Plan
EngageNY

Properties of Logarithms

For Teachers 10th - 12th Standards
Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...
Lesson Plan
EngageNY

Transformations of the Graphs of Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Transform your lesson on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they examine...
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...
Lesson Plan
EngageNY

Why Were Logarithms Developed?

For Teachers 10th - 12th Standards
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Lesson Plan
EngageNY

The Inverse Relationship Between Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Introducing inverse functions! The 20th installment of a 35-part lesson plan encourages scholars to learn the definition of inverse functions and how to find them. The lesson plan considers all types of functions, not just exponential...
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...
Lesson Plan
EngageNY

Graphing the Logarithmic Function

For Teachers 10th - 12th Standards
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
Lesson Plan
EngageNY

Building Logarithmic Tables

For Teachers 9th - 12th Standards
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson has scholars use given...
Lesson Plan
EngageNY

Logarithms—How Many Digits Do You Need?

For Teachers 9th - 12th Standards
Forget your ID number? Your pupils learn to use logarithms to determine the number of digits or characters necessary to create individual ID numbers for all members of a group. 
Lesson Plan
EngageNY

Graphs of Exponential Functions and Logarithmic Functions

For Teachers 10th - 12th Standards
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
Lesson Plan
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This activity examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs when...
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,...
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...
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...
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 lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and tangent...
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...
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...
Lesson Plan
EngageNY

Integer Exponents

For Teachers 9th - 12th Standards
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
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...
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...
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.
Lesson Plan
Curated OER

Dead Body Math

For Teachers 9th - 12th
Students solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
Lesson Plan
Curated OER

Test on Limits and Continuity

For Teachers 11th - 12th
Students review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.