Exponential Growth
The purpose of this exploration is to investigate properties of exponential functions including the relationship between the graphical and algebraic forms of the functions.https://education.ti.com/en/activity/detail/exponential-growth
Velocity, Position, Distance
Work with linked representations of the horizontal motion of an object.https://education.ti.com/en/activity/detail/velocity-position-distance
Exponentialis ~ Logarithmus
In this story-style activity, students work through a step-by-step review of solving exponential equations using logarithms. At first, they are guided through process of using logarithms and checking them, with the help of 'Terry Plotter the mathemagician'. Then, students review identities and pr...https://education.ti.com/en/activity/detail/exponentialis--logarithmus
Investigating Correlation
This lesson involves investigating the connection between the scatterplot of bivariate data and the numerical value of the correlation coefficient.https://education.ti.com/en/activity/detail/investigating-correlation
Introduction to the Central Limit Theorem
Students discover the Central Limit Theorem by simulating rolls of two, four, and seven number cubes via the random number generator.https://education.ti.com/en/activity/detail/introduction-to-the-central-limit-theorem_1
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
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
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 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
Independence Is the Word
Students use a simulation to find the experimental probability of independent events. They will find the sample space and then compare the experimental and theoretical probabilities.https://education.ti.com/en/activity/detail/independence-is-the-word
One- and Two-Variable Statistics--Review
In this activity, students will review the concepts that they have learned thus far in statistics. The first part of the activity includes one-variable topics such as graphing quantitative variables, calculating measures of central tendency and spread, and making comparisons. The second part incl...https://education.ti.com/en/activity/detail/one-and-twovariable-statisticsreview_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
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
Solids of Revolution
Students will investigate 3D visualizations of volumes created by rotating a function about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theo...https://education.ti.com/en/activity/detail/solids-of-revolution
Solids Of Revolution Between Two Curves
Students will investigate 3D visualizations of volumes created by rotating two functions about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental t...https://education.ti.com/en/activity/detail/solids-of-revolution-between-two-curves
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 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
Percentiles
The goal of this activity is for students to use the area to the left of a value in a normal distribution to find its percentile. The process will then be reversed to find the value for a given percentile.https://education.ti.com/en/activity/detail/percentiles_ib_ns
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
It's To Be Expected
Students use a tree diagram to find theoretical probabilities and use this information in a spreadsheet to find the expected value.https://education.ti.com/en/activity/detail/its-to-be-expected_1