Lesson Plan
Curated OER

Leap Into Exponential Functions

For Teachers 8th - 10th
Pupils use properties of exponents to solve equations. For this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
Lesson Plan
Curated OER

Save Your Change

For Teachers 9th - 10th
Students solve problems involving exponential, logarithmic, and scientific notations. Using calculators, students explore investment problems. They use a formula and logarithms to determine the years to earn a particular income, figure...
Lesson Plan
Curated OER

Classifying Functions

For Teachers 11th
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
Lesson Plan
Curated OER

Properties of Fractals

For Teachers All
Pupils build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using logs.
Lesson Plan
Curated OER

L'Hopital's Rule

For Teachers 11th - 12th
Students discover and perfect methods of calculation based on rewriting, simplifying, and logarithmic L'Hopital when the traditional applications fail to produce a result.
Lesson Plan
Curated OER

Properties of Fractals

For Teachers 6th - 8th
Middle schoolers build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...
Lesson Plan
Curated OER

Lesson #106 Logs and Long Division

For Teachers 12th
  Students investigate a method of evaluating integrals using long division.  In this calculus lesson, 12th graders examine a method of using long division to perform integration.  The lesson includes a bingo worksheet on...
Worksheet
Curated OER

Differentiation

For Students Higher Ed
In this college level calculus activity, students differentiate functions including logarithms and trigonometric functions.  The two page activity contains twenty-six problems.  Answers are not provided. 
Lesson Plan
Curated OER

Student Reading Log

For Teachers 4th
Fourth graders read on a daily basis to enhance their reading experiences, and record their reading activities in reading log database at least every two weeks to practice their keyboarding skills.
Lesson Plan
Curated OER

What's a Tree Worth?

For Teachers 9th - 12th
Students calculate the board footage of a tree. For this forestry lesson, students use a Biltmore tree scale stick to calculate the number of board feet that would be produced. They quantify the economic value of a tree from this...
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...
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...
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.
Lesson Plan
Curated OER

Buying Cars/Financing Cars Compound Interest

For Teachers 11th - 12th
Provide a real world context in which exponential functions are used to determine a eal world phenomena such as compound interest and exponential growth. This lesson should be taught after students have mastered the laws of exponents 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...
Assessment
Achieve

Spread of Disease

For Students 9th - 12th Standards
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
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...
Lesson Plan
Curated OER

Graphing Exponentials

For Teachers 9th - 12th Standards
Bring your Algebra class to the computer lab! Using materials created by Texas Instruments, they explore exponentiasl and graphs. Be sure to download the correct materials (on the right side of the webpage) before having them walk...
Lesson Plan
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Curated OER

Rumors

For Teachers 9th - 12th Standards
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
Lesson Plan
Chymist

Visualizing pH

For Teachers 9th - 12th
Why are acids and bases important in our daily lives? Lead the class in answering this question, among others, as they experiment with pH paper and classify where various substances belong on the pH scale. They also taste common acids...
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
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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