Curated OER
Buying Cars/Financing Cars Compound Interest
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...
Curated OER
Comparing Investments
Money, money, money. A complete activity that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and...
Radford University
Population Project
How fast does it grow? Scholars work on two tasks dealing with exponential growth, one on population growth and the second on investments. Learners research a country's population over the past century and make predictions of the current...
Curated OER
biology - 9th Grade
The clear cartoon style slides in this presentation contain details that affect population growth. Natural disasters and other external factors are listed as density independent factors, and density dependent factors, such as competition...
101 Questions
Blocks
Block play can teach children about gravity, physics, and spatial relationships. A hands-on lesson incorporates these concepts with an activity in which learners examine the relationship between levels in a pile. Scholars begin to...
Curated OER
Complex Analysis: Complex Exponential
In this complex exponential activity, students answer questions about the characteristics of a function. They sketch the image in a coordinate plane. This two-page activity contains six problems.
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
Exercise Set 3.2: Logarithmic Functions
In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.
Curated OER
Making Money Work For You
Learners differentiate between saving and investing money. In this algebra lesson, students compare different investment options, recognizing the risks and rewards of investing and integrate investing into their financial planning.
Curated OER
Exponential Models
Students fit a continuous change exponential model to U.S. population data and use the model to predict future population.
Curated OER
Logarithmic Forms
There are 10 different problems related to particular logarithmic forms for learners to solve. They express each exponential form equation given in logarithmic form and write out the opposite of each form as illustrated.
Curated OER
Exponential Growth Introduced
Students study exponential growth in problems using chess boards and grains of rice. In this exponential growth lesson, students watch a video about a chess wager and complete an exponential growth worksheet. Students then complete a...
Curated OER
Derivatives of Exponential Functions
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...
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...
Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic expressions.
Howard Hughes Medical Institute
Population Dynamics
Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...
Curated OER
Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Curated OER
Skeeter Populations and Exponential Growth
Middle schoolers perform investigations on the growth of populations and use exponential functions to represent that growth. They watch a video clip of growth patterns. Students work in groups to determine the "population" of each color...
Curated OER
Exponents
Pupils solve exponential problems using exponential properties. In this algebra lesson, students discuss the meaning of exponents, and bases raised to different powers. They explore exponential functions using a computer.
Curated OER
Get a Half-life!
Young scholars explore decay functions and the half-life of a substance. Through an M&M activity with calculators, students collect and graph data. They determine the linear, quadratic and exponential functions of the graph. Young...
National Museum of Nuclear Science & History
Nuclear Popcorn
Make your lesson on radioactive decay pop with this lab exercise. Using popcorn kernels spread over a tabletop, participants pick up all of those that point toward the back of the room, that is, those that represent decayed atoms. As the...
Curated OER
Chill Out: How Hot Objects Cool
Teach how to explore exponential equations. In this Algebra II lesson, students investigate the graph that occurs as a hot liquid cools. Students model the data algebraically.
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