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- Grade Range
- 10th - 12th
- Rating
Students compile and analyze data pertaining to College Credit AP Exams. They pose questions - Which exam is the easiest? - determine answers from their data and display their results. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the curve. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students calculate the rate of change between two points on a curve by determining the slope of the line joining those two points. They then extend this method to estimate the instantaneous rate of change at a given point by taking two points very close to and on either side of the given point. Full Review »
- Grade Range
- 11th - 12th
- Rating
Students complete problems involving rates of change, optimization, distance, velocity and acceleration. In groups, they graph and interpret the slope of a tangent line. After completing problems, students discuss real life situations that involve rates of change. Additionally, they use interactive computer software to solve equations. Full Review »
- Grade Range
- 12th
- Rating
Students pretend they have been hired by the Parks department to examine the procedures lifeguards follow. Using the internet, they determine which route to take to save a swimmer who is drowning. They write a report on their findings and offer solutions to share with the class. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students apply the application of differentiation in an experiment with the inflation of a balloon in order to observe the relationship between the rate its volume is changing and the rate points on its surface are getting closer to each other. They then utilize the symbolic capacity of their calculator and calculus to determine the exact rate of change. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series. Full Review »
- Grade Range
- 10th - 12th
- Rating
Students define a Taylor polynomial approximation to a function f of degree n about a point x = a. After completing several problems with using guided practice, students graph convergence of Taylor polynomials and use them to approximate function values. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students, with the assistance of their TI-89 calculators, create graphs and tables of values for functions. They then utilize this graphical and numerical information to explore limits and solve equations in a variety of formats and designs. Full Review »
- Grade Range
- 9th - 12th
- Rating
Students practice calculating and analyzing Riemann sums and illustrate when Riemann sums will over/under-approximate a definite integral. They view how the convergence of Riemann sums as the number of subintervals get larger. Full Review »
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