Curated OER
Bouncing Ball Experiment
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.
Curated OER
"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
Kenan Fellows
Using Motion Sensors to Explore Graph Sketching
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
Curated OER
Is there Treasure in Trash?
More people, more garbage! Young environmentalists graph population growth against the amount of garbage generated per year and find a linear model that best fits the data. This is an older resource that could benefit from more recent...
Curated OER
Graphs and Data
Students investigate poverty using graphs. In this algebra lesson plan, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
Curated OER
Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...
Curated OER
Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
Curated OER
Seeing Mathematics in the Forces of Nature
Students study waves and their characteristics. In this wave instructional activity students calculate the speed of waves, wavelength and the period.
Curated OER
Cannonball
Young scholars calculate the speed, motion and distance of a projectile. In this geometry lesson, students obtain measurements while calculating velocity. They graph their results and make predictions.
Curated OER
Between The Extremes
Students analyze graphs for specific properties. In this algebra lesson, students solve equations and graph using the TI calculator. They find the different changes that occur in each graph,including maximum and minimum.
Curated OER
Translations, Reflections, and Rotations
Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.
Curated OER
Creating a Mathematical Model Using Weather Data
Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...
Curated OER
Fractals
Students explore the concept of fractals. In this fractal lesson, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...
Hofstra University
Hofstra University: Calculus Applied to the Real World
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Other
Karl's Calculus Tutor: L'hopital's Rule
This site provides a detailed overview of L'Hopital's Rule, and includes numerous examples and exercises. The site begins with a lengthy real world example, page-down until you see L'Hopital's Rule in red if you wish to skip the real...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Creating a Family Trust
Students apply statistics concepts to a real world example. Topics include normal and beta distributions.
Wolfram Research
Wolfram Science World: Cl Circuit
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
Interactive Mathematics
Interactive Mathematics: Even Crash Test Dummies Use Calculus
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Applications of Maxima and Minima
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Department of Defense
Do Dea: Ap Calculus: Radioactivity and Half Life [Pdf]
Apply the Law of Exponential Change to solve a "real-world" science problem. Formulas and examples are provided. Great review for the AP Calculus test!
Khan Academy
Khan Academy: Analyzing Problems Involving Rates of Change in Applied Contexts
Differential calculus is all about instantaneous rate of change. Let's see how this can be used to solve real-world word problems.
Khan Academy
Khan Academy: Analyzing Problems Involving Definite Integrals
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Duke University
Duke University: Web Feats Ii: Free Donuts
This is an excellent interactive site which walks the student through the process of finding the maximum volume for a box given the length and width of a piece of cardboard. The site poses numerous multiple choice questions for the...