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
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
Infinite Geometric Series
In this activity, students will explore infinite geometric series. They will consider the effect of the value for the common ratio and determine whether an infinite geometric series converges or diverges. Students will numerically analyze infinite geometric series using spreadsheets.https://education.ti.com/en/activity/detail/infinite-geometric-series_1
Investing in Your Future - Using Spreadsheets to Make Comparisons
This activity provides students the opportunity to make financial decisions based on different investment scenarios. Students will use the spreadsheet application of the TI-Nspire calculator to compare the results of investing in a certificate of deposit or a Money Market Account. Students will p...https://education.ti.com/en/activity/detail/investing-in-your-future--using-spreadsheets-to-make-comparisons
Rational Roots of Polynomial Functions
In this activity, students apply the Rational Root Theorem in determining the rational roots of 4 polynomial functions. Results of the application of the theorem are compared to results obtained graphically to identify the presence of irrational roots.https://education.ti.com/en/activity/detail/rational-roots-of-polynomial-functions
Plane Mirrors
In this lesson, students will investigate the relationship between an object and its image in a plane mirror. Understanding how plane mirrors work provides a useful scaffold for understanding more complex situations, such as those involving concave and convex mirrors.https://education.ti.com/en/activity/detail/plane-mirrors
Vector Components
In this lesson, students will first explore the relationship between the magnitude and direction of a vector and the components of the vector. Students will then explore how two vectors are added to produce a resultant vector.https://education.ti.com/en/activity/detail/vector-components
Sampling
Students learn about each of the four types of random sampling methods and use the randInt command to find each kind of sample from a given population.https://education.ti.com/en/activity/detail/sampling
Roll the Dice
Students compute sample spaces for coin flips, find the various probabilities associated, and graph the probabilities using the calculator.https://education.ti.com/en/activity/detail/roll-the-dice
Best Class
Students will 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/best-class
Arithmetic Sequences & Series
Students use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots whose points form a straight line.https://education.ti.com/en/activity/detail/arithmetic-sequences--series_1
Hypothesis Testing: Means
Students test a claim about a mean with a large sample size at the five-percent significance level. The test statistic is found and compared to the critical value.https://education.ti.com/en/activity/detail/hypothesis-testing-means
Law of Large Numbers: Equal Opportunities
In this activity, students will use the Probability Simulation application to roll a fair die and explore the Law of Large Numbers. They will conduct probability experiments that involve tossing a fair die, graph the results, compare the experimental probability to its theoretical probability and...https://education.ti.com/en/activity/detail/law-of-large-numbers-equal-opportunities
Off to the Races
In this activity, students set weights for factors and observe how it affects the probability of a particular outcome. They set a weight for 3 factors for each of the six horses in a race. The three factors are weighted differently in different parts of the race. They compare the experimental and...https://education.ti.com/en/activity/detail/off-to-the-races
How Random!
Students use simulations and graphs to explore the common sense notion that repeatedly flipping a coin results in "heads up" about half of the time. First, they simulate an experiment by representing single coin flips with random numbers. Next, they use a given formula to simulate multiple coin f...https://education.ti.com/en/activity/detail/how-random_1
NUMB3RS - Season 3 - "Spree" - A Pursuit Curve Problem
In "Spree", two lovers have committed a series of crimes at various locations. Agents Eppes and Edgerton have plotted a map of their movements and have enlisted Charlie's help in trying to detect a pattern. Charlie says that the map shows only half of the story, and this pattern 'is a variation o...https://education.ti.com/en/activity/detail/numb3rs--season-3--spree--a-pursuit-curve-problem
Gambler's Fallacy: Lucky Streaks and Slumps
In this activity, students determine the probability of independent and compound events. They design simulations and collect data to explore streaking behavior.https://education.ti.com/en/activity/detail/gamblers-fallacy-lucky-streaks-and-slumps
Heads Up!
In this activity, students study some important concepts of probability. They use coin tossing experiments to determine the probability of a tossed coin coming up heads. They examine both short and long term experimental probabilities and their relationship to the theoretical probability.https://education.ti.com/en/activity/detail/heads-up
Probability Simulations
In this activity, 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 se...https://education.ti.com/en/activity/detail/probability-simulations