Chi-Square Distributions
Students compare the Chi-Square distribution to the standard normal distribution and determine how the Chi-Square distribution changes as they increase the degrees of freedom.https://education.ti.com/en/activity/detail/chisquare-distributions_1
Solving Systems of Linear Equations with Row Reductions to Echelon Form on Augmented Matrices
This activity shows the user how to interpret a system of linear equations as an augmented matrix, row reduce the matrix to echelon form, and interpret the output to give a unique solution, generate infinite solutions, or conclude no solutions exist. The activity also shows how to check unique so...https://education.ti.com/en/activity/detail/solving-systems-of-linear-equations-with-row-reductions-to-echelon-form-on-augmented-matrices
Cancer Clusters
Students will investigate cancer incidence rates in a number of states. Hypothesis testing is introduced and used along with a two-proportion z-test to compare cancer rates. This activity helps students to determine when a difference in data is actually statistically significant. This should enco...https://education.ti.com/en/activity/detail/cancer-clusters
Move Those Chains
In this activity, students will explore the Chain Rule. Students are asked to make a conjecture of the derivative of f(x) = (2x + 1)2 based on the Power Rule. They are then asked to graph their derivative function and compare it to the graph of f´(x). They will then examine "true" statements abou...https://education.ti.com/en/activity/detail/move-those-chains
Complex Roots: A Graphical Solution
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph.https://education.ti.com/en/activity/detail/complex-roots-a-graphical-solution
But What Do You Mean?
In this activity, students learn about the concept of mean or average, in addition to learning several ways to find the mean on the TI-Nspire handheld (including using a spreadsheet and the mean command). Students also use these methods to find the mean when given the frequencies of each number i...https://education.ti.com/en/activity/detail/but-what-do-you-mean
The Derivatives of Logs
Students will use the Chain Rule to find the derivative of more complex exponential and logarithmic functions.https://education.ti.com/en/activity/detail/the-derivatives-of-logs
Exploring Complex Roots
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph. Open the file CollegeAlg_ComplexRoots.tns on your TI-Nspire handheld device to work through the activity.https://education.ti.com/en/activity/detail/exploring-complex-roots
Difference Between Two Proportions
Students use confidence intervals to estimate the difference of two population proportions. First they find the intervals by calculating the critical value and the margin of error. Then, they use the 2-propZInterval command. Students find confidence intervals for differences in proportions in rea...https://education.ti.com/en/activity/detail/difference-between-two-proportions_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
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
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
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
t Distributions
Students compare the t distribution to the standard normal distribution and use the invT command to find critical values for a t distribution.https://education.ti.com/en/activity/detail/iti-distributions_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
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices_1
Probability Simulations
Students use the random integer (randInt) command to simulate probability experiments. They also graph the number of trials and corresponding probabilities to observe the Law of Large Numbers. Simulated experiments involve tossing a coin, spinning a spinner, and observing the gender of children i...https://education.ti.com/en/activity/detail/probability-simulations_1
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
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
Position and Piecewise Velocity
This lesson involves creating and comparing graphical representations of velocity and position based on real-life scenarios.https://education.ti.com/en/activity/detail/position-and-piecewise-velocity
Box Plots & Histograms
Students create and explore a box plot and histogram for a data set. They then compare the two data displays by viewing them together and use the comparison to draw conclusions about the data.https://education.ti.com/en/activity/detail/box-plots--histograms
Motorcycle Tire Balancing
In this activity, students will explore linear and angular velocities and the relationship between them. This exploration is based on using a spin balancer to balance motorcycle tires of different sizes. Since a spin balancer rotates at a constant velocity, the linear and angular velocities of th...https://education.ti.com/en/activity/detail/motorcycle-tire-balancing
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
Investigating Logistic Functions and Applications
Students will investigate the graphs of logistic functions, function characteristics, and solving logistic equations in Problem 1. Application problems that are modeled by logistic functions are completed in Problem 2-4. This activity is appropriate for Algebra II or Precalculus.https://education.ti.com/en/activity/detail/investigating-logistic-functions-and-applications