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...
Kenan Fellows
Half-Life
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 lesson of seven integrating chemistry and algebra. Combining...
Balanced Assessment
A Loud Noise
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...
Concord Consortium
Betweenness IV
Challenge your classes to think between the curves. Given two function formed by the combination of two exponential functions, individuals must write three functions in which all values would lie between the given. The question is...
Howard County Schools
Discounting Tickets
A boss who can't do math? Oh, no! Young entrepreneurs use linear and exponential models to determine which discount will yield the most profit on ticket sales.
West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
Mathematics Assessment Project
Multiplying Cells
Powers of two: it's a matter of doubling. A short summative assessment task asks pupils to determine a process to calculate the number of cells at given time intervals. They use powers of two in order to calculate the number of...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Curated OER
Exploring Exponential Growth and Decay Functions
Learners differentiate between exponential growth and decay. In this algebra lesson, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
Curated OER
Linear and Exponential Models
Learners investigate the differences between linear and exponential models. In this linear and exponential models instructional activity, students make a table of given data. Learners determine if the data is linear or...
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
Curated OER
Linear or Exponential?
Your learners analyze various real-life contexts to decide if each is a linear or exponential model. This could be used as an assessment of learners' skills of discerning between a linear and an exponential model.
Curated OER
Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
EngageNY
Bean Counting
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
EngageNY
Modeling a Context from a Graph
Collaborative pairs develop functions that model a graph from a context using the modeling cycle. They then analyze their function models in order to answer questions about the scenario.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
Curated OER
Math 312 Spring 98 - Complex Exponential Functions
In this function worksheet, students solve complex exponential and logarithm functions. This two-page worksheet contains approximately six problems.
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Radford University
Business Ownership
Let's learn a little bit about business! Given information about a t-shirt company, young mathematicians explore the revenue, costs, profits, and future sales. They develop mathematical models for these quantities using linear,...
Curated OER
Rising Gas Prices – Compounding and Inflation
Financial literacy skills and exponential models are connected by the compound interest formula in this task centered on inflation calculations. Collaborative learners get experience collecting data from the given websites and exploring...