Curated OER
Rhinos and M&M's
Students analyze patterns of exponential models by collecting data in paper folding and M&M investigations. They use graphing calculators to create scatter plots that lead to equations for the exponential models. They then apply this...
Curated OER
Properties of Logarithms
High schoolers explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. High schoolers use linear functions as a basis to develop the logarithm properites by substituting log b...
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.
National Research Center for Career and Technical Education
Safety and Sanitation
Your microbiologists explore the graphing of exponential growth functions using bacteria, like e. coli and salmonella, in a well-written, career and technology lesson.
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
Shodor Education Foundation
Recursion
Perform the operation ... and then do it again. Scholars investigate recursive formulas by creating and graphing them. Using the interactive, pupils set the variable, determine the initial value, and type in a recursive formula.The...
Curated OER
Analyze This Function
In this derivatives activity, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
Curated OER
Graphs and Functions
Pupils are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
Curated OER
Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
Concord Consortium
Rule of 72
Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Curated OER
Exploration Sequence of Bounces
New skills are developed as students use graphing calculators and ranger technology to capture and graph the sequence of bounces a ball makes when dropped. After recording the height of four or more bounces, they use the collected data...
Curated OER
Charging Up, Charging Down
Learners collect and analyze voltage data. Then, they investigate exponential functions using the TI and a Voltage Probe and graph their data and analyze it using a table.
Curated OER
PreCalculus: Final Examination
For this final examination worksheet, students find the tangent function and sine function. They graph problems on a polar coordinate. Students describe trigonometric properties. This twelve-page worksheet contains 80...
Curated OER
The King's Chessboard
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 3)
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
Mathematics Assessment Project
College and Career Readiness Mathematics Test B2
Use a nine-page evaluation to cover material from algebra, geometry, and algebra II. It incorporates short answer, applied reasoning, and conversion problems.
Curated OER
Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
Curated OER
NUMB3RS Activity: A Matter of Half-Life and Death
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...
Curated OER
Get a Half Life!
Eighth graders use M&M's to experiment with data. They use a graphing calculator to determine the best equation for their data; linear, quadratic or exponential. They analyze the data to find the half-life of their M&M's.