Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
Worksheet
Curated OER

Chapter 8 Review: Exponential Growth

For Students 10th - 12th
In this exponential growth worksheet, students find the exponential growth and exponential decay of given situations. They simplify problems with exponents and evaluate logarithms. This four-page worksheet contains 23 multi-step problems.
Lesson Plan
Kenan Fellows

Half-Life

For Teachers 9th - 12th Standards
Scholars shake their way to understanding half-life with the help of candy. They observe and record which side candy lands on to graph the exponential decay in the fifth instructional activity of seven integrating chemistry and algebra....
Unit Plan
Radford University

Transformational Graphing in the Real World: Bacteria – Growth or Decay?

For Teachers 9th - 12th Standards
Grow—not decay—your knowledge of exponential functions. Young mathematicians graph exponential functions and explore how transformations affect the graphs. They decide whether the functions represent growth or decay in the context of...
Worksheet
Curated OER

Exploring Exponential Models

For Students 11th Standards
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced. 
Lesson Plan
Virginia Department of Education

Exponential Modeling

For Teachers 10th - 12th
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Unit Plan
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1
Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Lesson Plan
Curated OER

Exploring the Exponential Function

For Teachers 9th - 12th Standards
Learners collect and analyze data regarding exponential functions of the form y = abx.  Students explore the affects of changing parameters on the graph of the function. 
Worksheet
Curated OER

Penny Toss - Exponential Growth and Decay

For Students 9th - 10th
In this penny toss worksheet, students collect statistical data by tossing pennies and then create a scatter plot of the data. They use formulas for exponential growth and decay and then plot the function. This two-page document...
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

NUMB3RS Activity: A Matter of Half-Life and Death

For Teachers 11th - 12th Standards
Students investigate exponential decay.  Students explore the biological half-life of Cesium-137.  Students investigate the Goiania Accident of 1987 which is considered one of the worst incidents in the history of the Atomic...
Worksheet
Curated OER

Twenty-Nine Various Exponential Function Problems

For Students 11th - Higher Ed
In this exponential growth and decay worksheet, students identify equations as growth or decay, find balance in an account, find half-life, identify interest rate, identify the initial amount, and identify the growth factor. 
Worksheet
Curated OER

Pre-calculus Unit 3 Test 2

For Students 10th - 12th
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
Lesson Plan
Curated OER

Exponential Functions f(x) = abx

For Teachers 9th - 12th Standards
Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
Lesson Plan
Curated OER

Making Money and Spreading the Flu!

For Teachers 9th - 11th Standards
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...
Lesson Plan
Curated OER

Murder in the First Degree - The Death of Mr. Spud

For Teachers 9th - 12th Standards
Secondary learners investigate exponential functions in a real-world scenario. They collect data on the temperature of a cooling baked potato, enter the data into lists, and graph the data using a scatter plot before finding an...
Worksheet
Curated OER

Exponential Growth and Decay

For Students 11th
In this Algebra II worksheet, 11th graders solve verbal problems that involve exponential growth or decay.  The two page worksheet contains a combination of seven multiple choice and free response questions.  Answers are...
Lesson Plan
Curated OER

Chill Out: How Hot Objects Cool

For Teachers 9th - 12th Standards
Teach how to explore exponential equations.  In this Algebra II instructional activity, learners investigate the graph that occurs as a hot liquid cools.  Students model the data algebraically.
Interactive
CK-12 Foundation

Geometric Sequences: Bacteria Colony

For Students 11th - Higher Ed Standards
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
Performance
Radford University

Population Project

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

Algebra 1: Unit 5 Review

For Students 6th
In this problem solving worksheet, 6th graders determine if 4 functions are exponential growth or decay, sketch 4 graphs and compare 2 sets of functions. Students write the rule, linear or exponential, for 4 tables.
Worksheet
Curated OER

Graphing Functions

For Students 9th - 12th
For this graphing functions worksheet, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page worksheet...
Lesson Plan
National Museum of Nuclear Science & History

Nuclear Popcorn

For Teachers 7th - 12th
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...