EngageNY
An Application of Linear Equations
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more accessible...
EngageNY
Writing and Evaluating Expressions—Exponents
Bring your young mathematicians into the fold. Scholars conduct an activity folding paper to see the relationship between the number of folds and the number of resulting layers in the 23rd installment of a 36-part module. The results of...
EngageNY
Properties of Logarithms
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...
Mathematics Vision Project
Module 7: Connecting Algebra and Geometry
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Curated OER
Derivatives of Exponential Functions
Students take derivatives of exponential functions. In this taking derivatives of exponential functions instructional activity, students prove the derivative of an exponential function is the exponential function. Students find...
Radford University
Feeding the World
Using technology, pupils find an exponential function to model the population growth of the US. With more information, learners derive the population growth formula for the world. Ultimately, they determine the amount of protein needed...
Mathalicious
Pandemic
Young scientists use exponential growth and logarithms to model how a virus spreads through a population. Pupils watch a news clip about the 2012 outbreak of Ebola. Scholars then manipulate inactive graphs to see how various factors...
Macquarie University
Logarithms and Exponentials
Introduce logarithmic functions and their properties with a straightforward lesson plan. It provides an introduction to new material, examples, and practice problems. The variety of problem types keeps learners engaged while practicing...
Curated OER
Precalculus: Unit 3 Test 2
In this Pre-calculus instructional activity, students solve advanced logarithmic and exponential equations. The seven page instructional activity contains thirty-two problems. Answers are not provided.
Curated OER
Tilted Squares and Right Triangles
Learners investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
NASA
Newton’s Cool in the Pool
Pupils work together to investigate the cooling of NASA’s Neutral Buoyancy Laboratory. Using data collected as the pool cooled, groups determine the values needed in Newton's Law of Cooling equation to model the situation. They...
Radford University
Earthquake Problem
Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...
Teach Engineering
Common and Natural Logarithms and Solving Equations
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...
EngageNY
Percent Rate of Change
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...
Curated OER
Math Handbook: Calculus
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...
EngageNY
Changing the Base
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,...
Curated OER
Reading Graphs
Working independently or in teams, your class practices connecting graphs, formulas and words. This activity includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.
Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
Curated OER
The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
Curated OER
Intermediate Algebra Worksheet 2.6
In this intermediate algebra worksheet, learners solve logarithms, write equations in exponential, logarithm, and exponential form.. They find the sum and difference of logarithms and solve answers to three decimal places.
Curated OER
e, pi, and Exponential Functions
Students investigate e, pi and exponents. In this calculus lesson, students define constants and non-constants using, pi, e and exponents as an example. They use the TI to work the problems in this lesson.
Curated OER
Derivatives of Exponential Functions
Learners 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. Learners listen as...
Shoreline Community College
Properties of Logarithmic Functions
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...
Curated OER
Slope & Rate of Change
This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....