Mean Value Theorem
Calculate slopes of secant lines, create tangent lines with the same slope, and note observations about the functions and slopes.https://education.ti.com/en/activity/detail/mean-value-theorem_1
Comparing Two Means
In this activity, students will test hypotheses concerning means of two populations. They calculate the test statistic and the critical values and then graph the critical region and plot the value of the test statistic.https://education.ti.com/en/activity/detail/comparing-two-means_1
Confidence Levels for Means
Students will interpret a confidence level as the average success rate of the process used to produce an interval intended to contain the true mean of the population. Students will recognize that as the confidence level increases, on average, the confidence interval increases in width.https://education.ti.com/en/activity/detail/confidence-levels-for-means
Local Linearity
Visualize the idea of derivative as local slope.https://education.ti.com/en/activity/detail/local-linearity
Confidence Levels
Students will interpret a confidence level as the average success rate of the process used to produce an interval intended to contain the true mean of the population. They will recognize that as the confidence level increases, on average, the confidence interval increases in width.https://education.ti.com/en/activity/detail/confidence-levels
Confidence Intervals for Means
This activity investigates generating a confidence interval for the mean of a random sample of size 100 from an unknown population.https://education.ti.com/en/activity/detail/confidence-intervals-for-means_1
Confidence Intervals for 2 Sample Proportions
Do senior citizens and college students have different memories about high school? The activity Confidence Intervals: 2-Sample Proportions involves investigating random samples from two populations from a large Midwestern city with respect to the question: "When you were in high school, did you h...https://education.ti.com/en/activity/detail/confidence-intervals-for-2-sample-proportions
Intersecting the Solutions
In this teacher-led activity, students will learn to solve systems of equations graphically. They will learn the relationship between the algebraic and graphical solutions and create equations that draw upon this connection.https://education.ti.com/en/activity/detail/intersecting-the-solutions
How Many Solutions?
Students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.https://education.ti.com/en/activity/detail/how-many-solutions
Half-Life
Students will explore exponential decay through an experiment and use the gathered data to generate an exponential regression equation. Students will then repeat the process with a data set and forecast future results.https://education.ti.com/en/activity/detail/halflife
Areas In Intervals
Students use several methods to determine the probability of a given normally distributed value being in a given interval. First, they use the Integral tool to find areas under the curve and to the left of given values. Students continue the activity to find probabilities for which the correspond...https://education.ti.com/en/activity/detail/areas-in-intervals
Box Plots Introduction
This lesson involves representing distributions of data using box plots. The emphasis is on helping students understand the relationship between individual data values and the five-number summary. Students will move data within a dot plot and observe the changes within the corresponding box plot...https://education.ti.com/en/activity/detail/box-plots-introduction
Binomial Pdf- Eye Color
This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tnshttps://education.ti.com/en/activity/detail/binomial-pdf-eye-color
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
Assessing Normality
In this activity, students will learn four characteristics of a normal curve: the distribution is symmetric and mound-shaped; the mean and median are approximately equal; the distribution meets the 68-95.5-99.7 rule; and the normal probability plot is linear. They will use these to determine if a...https://education.ti.com/en/activity/detail/assessing-normality
Difference in Means
This activity involves investigating whether a difference really seems to exist between two sample means.https://education.ti.com/en/activity/detail/difference-in-means
Graphical Analysis
Students will analyze graphs of polynomials finding intervals over which the function is increasing or decreasing and positive or negative, as well as the function’s relative minimum and maximum values and x- and y-intercepts.https://education.ti.com/en/activity/detail/graphical-analysis
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
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
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
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
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