The Area Between
Students will find the area between two curves while determining the required amount of concrete needed for a winding pathway and stepping stones.https://education.ti.com/en/activity/detail/the-area-between_1
How Many? (Precalculus)
Students will be presented a situation in which they must use linear programming to determine the optimum production level to maximize profits.https://education.ti.com/en/activity/detail/how-many-precalculus
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
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
Slope Fields
Use a visual representation of the family of solutions to a differential equation.https://education.ti.com/en/activity/detail/slope-fields
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
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
Secant/Tangent Line Connection
Students will explore a real situation by minimizing the distance between two points on a secant line; ultimately making a connection to the slope of the tangent line and the difference quotient. Students will explore this graphically, numerically, and analytically. An extension at the end allo...https://education.ti.com/en/activity/detail/secanttangent-line-connection
Olympic Gold (Regression Wisdom)
This activity takes a deeper look into the use of linear regressions. It addresses some of the limitations and common mistakes encountered with regressions.https://education.ti.com/en/activity/detail/olympic-gold-regression-wisdom
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 Polynomials with CAS
Powerful tool for discussing graphs of Taylor polynomials.https://education.ti.com/en/activity/detail/taylor-polynomials
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
Transforming Univariate Data
This lesson involves square root, logarithmic, square, and exponentiation transformations of skewed univariate data using a given data set.https://education.ti.com/en/activity/detail/transforming-univariate-data
Transforming Relationships
In this activity, students will assess the strength of a linear relationship using a residual plot. They will also calculate the correlation coefficient and coefficient of determination to assess the data set. Students will then learn to transform one or two variables in the relationship to creat...https://education.ti.com/en/activity/detail/transforming-relationships_1
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
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
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 list outcomes for probability experiments such as flipping a coin, rolling number cubes, and observing the sex of each child born in a family. They use these outcomes to record the values of random variables, such as number of tails, sum of the cubes, and number of boys. Students then cr...https://education.ti.com/en/activity/detail/probability-distributions_2
Normal Probability Plot
This lesson involves creating a normal probability plot for several data sets involving height to examine the appearance of such plots when the distribution is approximately normal.https://education.ti.com/en/activity/detail/normal-probability-plot
Multiple Boxplots
This lesson involves analyzing three parallel boxplots.https://education.ti.com/en/activity/detail/multiple-boxplots
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
Computing with Mathematical Formulas
Evaluate formulas for given values of a variable.https://education.ti.com/en/activity/detail/computing-with-mathematical-formulas