Curated OER
Exponential Decay
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...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
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...
EngageNY
Modeling with Exponential Functions
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.
EngageNY
Base 10 and Scientific Notation
Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
Curated OER
New Functions From Old, Part 1
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
Curated OER
Dead Body Math
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...
Teach Engineering
Light Intensity Lab
Let there be light. The last installment of a seven-part series has pupils conduct an experiment on light attenuation through different numbers of transparency sheets. They then relate the results back to how X-rays measure bone density.
Curated OER
Test on Limits and Continuity
Learners 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.
Curated OER
Integrating Functions
In this math instructional activity, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
EngageNY
Bacteria and Exponential Growth
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.
Curated OER
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math instructional activity, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to...
Curated OER
Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Curated OER
Integrating Special Functions
In this math worksheet, students practice reading the examples of integrating special functions. The examples have the formulas included.
Curated OER
Pi Day (March 14)
Fourth graders determine the value of ? by measuring the circumference and diameter of circular objects such as soup cans, Oreo cookies, etc..
Curated OER
Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Derivatives of Logarithmic and Exponential Functions
Students learn how to compute the derivative of logarithmic and exponential functions. The tutorial explores the calculus concepts through notes and examples. Review exercises and a topic summary are included.
Hofstra University
Derivatives of Logarithmic and Exponential Functions
This site explains the derivatives of standard logarithmic and exponential functions. The site has example problems and grades your work, explaining errors you may have made when attempting the problem.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Logarithmic and Exponential Functions
Here is a site that clearly and thoroughly explains how to find the derivative of exponential and logarithmic functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Interactive Mathematics
Interactive Mathematics: Derivatives of Logarithmic Functions
The formulas for finding the derivatives of logarithmic functions are presented, then demonstrated with several examples. The solutions are hidden to allow students to work the problems without help.
Analyze Math
Analyze Math: Differentiation of Logarithmic Functions
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Using and Deriving Algebraic Properties of Logarithms
The resource investigates how to use and derive algebraic properties of logarithms. Students learn about the concepts through notes and examples. Practice problems are included.
Interactive Mathematics
Interactive Mathematics: Applications of Derivatives
The derivatives of logarithmic and exponential functions are used in problems dealing with earthquake measurement and air resistance. The problems allow students to see how these derivatives are applied with practice.