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...
Curated OER
Newton's Law of Cooling
Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.
Illustrative Mathematics
Carbon 14 Dating in Practice I
How old is the plant? Here is a task that presents the exponential decay function for carbon 14 in a plant. Pupils use the function to estimate the amount of carbon 14 in the plant when it died and analyze the function to find what...
Serendip
Understanding and Predicting Changes in Population Size – Exponential and Logistic Population Growth Models vs. Complex Reality
Salmonella poisoning impacts over 200,000 people in the United States each year. Scholars learn about the growth of these bacteria using multiple approaches. Then they apply the same growth calculations to endangered species and think...
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to...
Beyond Benign
The Big Melt: Arctic Ice Caps
Are the Arctic ice caps really melting out of existence? Junior climatologists examine the statistics of ice decline through four math-based lessons. Each activity incorporates data, climate information, and environmental impact into an...
Curated OER
Dead Body Math
Students solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
Curated OER
Rhinos and M&M's
High schoolers 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...
Curated OER
What "Ohm's" You?
Students use the CBL and voltage probe to observe electricity. In this algebra lesson plan, students use the TI calculator with the CBL to explore Ohm's Law. They discuss exponential equations and how it relates to Ohm's Law.
Curated OER
Black Hole...Fade-out!
In this black hole worksheet, students read about how images fade to black when they reach an event horizon of a black hole. Students solve 3 problems about black holes using a given equation for luminosity. They find the time it takes...
Curated OER
Fertilizers, Pesticides and Health
Learners apply real data to create and calculate algebraic equations. Students create a visual to represent the concentration for one part per million and apply unit analysis to verify measurement computations. Learners define the use...
Curated OER
Get a Half-life!
Pupils 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. Pupils...
Curated OER
Introduction to Graphical Representation of Data Sets in Connection to Cellular Growth
Students practice graphing relationships between variables by studying topics such as exponential growth and decay. They conduct a series of numerical experiments using a computer model and a variety of physical experiments using mold,...
Curated OER
Why Are Hot Things Red?
In this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....
Curated OER
Introduction to Graphical Representation of Data Sets in Connection with Nuclear Decay
Students record data, make observations, and share in experimentation and discussion of numerical experiments.
Alabama Learning Exchange
The Composition of Seawater
Young scholars explore the concept of finding the composition of seawater. In this finding the composition of seawater instructional activity, students make a saturated salt water solution. Young scholars discuss why there is...
Illustrative Mathematics
Illustrative Mathematics: F Le.4 Graphene
This task provides a real-world context for examining the power of exponential growth and decay. Learners experiment, at the macro level, using scotch tape to pull a chip of graphite apart into two pieces. They are asked to find about...
Illustrative Mathematics
Illustrative Mathematics: N q.a.3 and F le.a.4: Accuracy of Carbon 14 Dating Ii
This task is a refinement of "Carbon 14 dating" which focuses on accuracy. Aligns with N-Q.A.3 and F-LE.A.4.