Graphs of Polynomial Functions
The activity begins by having students compare functions to introduce the concept of end behavior. Then they graph cubics and quartics, noting the respective end behaviors for positive and negative leading coefficients. Finally, they compare quadratics to quartics and cubics to quintics to discov...https://education.ti.com/en/activity/detail/graphs-of-polynomial-functions
Influencing Regression
This lesson involves a least-squares regression line fit to a set of nine values.https://education.ti.com/en/activity/detail/influencing-regression
Influence and Outliers
In this activity, students will identify outliers that are influential with respect to the least-squares regression line. Students will describe the role of the location of a point relative to the other data in determining whether that point has influence on the least-squares regression line.https://education.ti.com/en/activity/detail/influence-and-outliers
Slope Fields Forever
Dynamically explore a particular solution to a differential equation for different initial conditions and investigate slope fields.https://education.ti.com/en/activity/detail/slope-fields-forever_1
Simple Harmonic Motion
With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.https://education.ti.com/en/activity/detail/simple-harmonic-motion_1
Sequences
Graphically evaluate the limit of a sequence.https://education.ti.com/en/activity/detail/sequences
Second Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its second derivative.https://education.ti.com/en/activity/detail/second-derivative-grapher
Sign of the Derivative
Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.https://education.ti.com/en/activity/detail/sign-of-the-derivative
Margin of Error and Sample Size
This activity investigates the margin of error for a confidence interval and the relationship between sample size and the margin of error.https://education.ti.com/en/activity/detail/margin-of-error-and-sample-size
Makin' It Through The Winter
Students simulate a binomial distribution and calculate probabilities for a variety of situations involving binomial probability distributions.https://education.ti.com/en/activity/detail/makin-it-through-the-winter_1
Looking Normal
This lesson involves examining multiple samples taken from a single approximately normal population.https://education.ti.com/en/activity/detail/looking-normal
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
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
Somewhere in the Middle
In this activity, students will explore the Mean Value Theorem. Students will find out when the tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the MVT. Students will also test functions where the hy...https://education.ti.com/en/activity/detail/somewhere-in-the-middle_1
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
Tossing Dice
This lesson involves simulating tossing two fair dice, recording the sum of the faces, and creating a dotplot of the sums.https://education.ti.com/en/activity/detail/tossing-dice
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
Tootsie Pops & Hand Span
Students will collect data, find the linear regression model of the data, and address aspects of the data that affect regression.https://education.ti.com/en/activity/detail/tootsie-pops--hand-span
Why np Min?
This lesson involves examining the general shape of binomial distributions for a variety of values of n and p.https://education.ti.com/en/activity/detail/why-np-min
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices_1
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
Type 2 Error
This activity allows students to experiment with different alpha levels and alternative hypotheses to investigate the relationship among types of error and power.https://education.ti.com/en/activity/detail/type-2-error
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