The Classic Box Problem - Calculus
The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire to enact the problem in multiple representations: diagramatic, graphic, numeric, geometric, and symbolic. The problem is posed on the title screen shown at the right.https://education.ti.com/en/activity/detail/the-classic-box-problem--calculus
Rectangle and Trapezoid Approximations to Definite Integrals
Use visual representation of area estimation methods in order to determine which is most accurate.https://education.ti.com/en/activity/detail/trapezoid-and-midpoint-rules
Velocity, Position, Distance
Work with linked representations of the horizontal motion of an object.https://education.ti.com/en/activity/detail/velocity-position-distance
Is it Rare?
Students use the Poisson distribution to determine the probabilities for various numbers of hurricanes hitting the United States in a given year. Students will also explore the graph of the Poisson distribution and how it behaves.https://education.ti.com/en/activity/detail/is-it-rare_1
Hypothesis Testing: Means
Students test a claim about a mean with a large sample size using the test statistic and the critical value. They also find the area under the curve to find the p value. Then, students will see how the result would change if they used a one-percent significance level or smaller sample size. An op...https://education.ti.com/en/activity/detail/hypothesis-testing-means_1
Random Samples
Compare the results of the three estimation methods to show that random samples of rectangles provide estimates that, on average, are closer to the true population mean than the other two methods.https://education.ti.com/en/activity/detail/random-samples
Resampling
This lesson involves approximate sampling distributions obtained from simulations based directly on a single sample. The focus of the lesson is on conducting hypothesis tests in situations for which the conditions of more traditional methods are not met.https://education.ti.com/en/activity/detail/resampling
Trend or Noise?
This lesson involves investigating aspects of statistical information reported in the media or other venues, aspects that are often misunderstood by those unfamiliar with sampling.https://education.ti.com/en/activity/detail/trend-or-noise
Family of t Curves
This lesson involves investigating how a t-distribution compares to a normal distribution.https://education.ti.com/en/activity/detail/family-of-t-curves
Why t?
This lesson involves examining the variability of individual elements and their related standardized test statistics when those elements are drawn randomly from a given normally-distributed population.https://education.ti.com/en/activity/detail/why-t
Why Divide by n-1?
Students will investigate calculating a sample variance using both n and n-1 as the divisor for samples drawn with and without replacement.https://education.ti.com/en/activity/detail/why-divide-by-n1
What’s My Model?
Students will investigate several different regression models and determine which of the models makes the most sense, based upon a real-world situation (cooling a cup of hot chocolate).https://education.ti.com/en/activity/detail/whats-my-model
Probability Distributions
Students will describe how the distribution of a random sample of outcomes provides information about the actual distribution of outcomes in a discrete sample space.https://education.ti.com/en/activity/detail/probability-distributions_1
NASA - Spacewalk Training
In this activity, students will plot data, looks at patterns, and draw conclusions given a real-world context of astronauts training in the Neutral Buoyancy Laboratory (NBL) in Houston, TX.https://education.ti.com/en/activity/detail/nasa--spacewalk-training
NASA - Maintaining Bone Mineral Density
In this activity students perform an appropriate test to determine the answer to the question "Is using the iRED exercise method significantly better than using the treadmill and bicycle in maintaining bone density?"https://education.ti.com/en/activity/detail/nasa--maintaining-bone-mineral-density
Re-Expressing Data
The students will learn to re-express data as a linear relationship even though the raw data does not fit a linear model. Students will learn important concepts involving data transformation and re-expression.https://education.ti.com/en/activity/detail/reexpressing-data
Catching the Rays
Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.https://education.ti.com/en/activity/detail/catching-the-rays
Area of a Triangle
The student will use three methods for finding the area of a triangle. They will find the area using the determinant of a matrix, two sides and the included angle (trig) and Heron's formula (three sides).https://education.ti.com/en/activity/detail/area-of-a-triangle
Modeling Daylight Hours
Students are provided with data on the daylight hours for two Canadian cities measured three times per month in 2007. The student's task is to create graphical and algebraic models of the data and to interpret the meaning of each of the parameters in the algebraic models. The student will also ...https://education.ti.com/en/activity/detail/modeling-daylight-hours
Make the Basket
Students will use parametric equations to model two physical situations: making a free throw (basketball) and hitting a home run (baseball). Students will begin exploring the models by using sliders to change to the angle and velocity of the shot or hit. They will then move the time slider to see...https://education.ti.com/en/activity/detail/make-the-basket
Investigating Sine and Cosine Functions Graphically
Students will use Sliders on the TI-Nspire to change coefficients of the basic sine and cosine function. Students will investigate how the graph changes by looking at different coefficients. Students will also investigate the sine and cosine graphs by comparing intersection points. Download t...https://education.ti.com/en/activity/detail/investigating-sine-and-cosine-functions-graphically
Inverse Trig Functions
This activity works backwards by giving students the inverse functions and having them discover how they relate to the original functions. By tracing along the inverse function, data is collected and then plotted on a statplot. The variables are then switched on the statplot. The new plot and ...https://education.ti.com/en/activity/detail/inverse-trig-functions
Linear Equation Games Unit: Activity #5 Mini Golf Course Challenge
This activity involves students using the coordinates of two points to find the equation that runs from the 'tee' to the golf 'hole'.https://education.ti.com/en/activity/detail/linear-equation-games-unit-activity-5-mini-golf-course-challenge
Linear Equation Games Unit: Activity #8 POOL Game
In this activity of the unit, the student's object is to create a linear equation through the cue ball, pool ball, and hole.https://education.ti.com/en/activity/detail/linear-equation-games-unit-activity-8-pool-game
Linear Equation Games Unit: Activity #9 9 Ball Game
This activity provides a ‘9 Ball Pool Table’ on a graph page. Students are to begin the game by clicking on the ‘play’ button to start the animation of the pool balls. They move the 'cue' ball around and find equations that go through the 'cue' ball, another ball(s) and the hole.https://education.ti.com/en/activity/detail/linear-equation-games-unit-activity-9-9-ball-game