Similar Triangles and Proportions
In this activity, students will investigate the relationship among the similar triangles formed when a segment is constructed parallel to one side of a triangle. They will explore the various ratios that exist between the lengths of the sides of similar triangles.https://education.ti.com/en/activity/detail/similar-triangles-and-proportions
NUMB3RS - Season 2 - "Double Down" - A Bit of Basic Blackjack
In "Double Down," three students are tied up in a money-laundering scheme involving money won in the card game blackjack. In this activity, we discuss a simplified version of blackjack and analyze the probability of winning in various situations. Because cards are drawn from the deck and not re...https://education.ti.com/en/activity/detail/numb3rs--season-2--double-down--a-bit-of-basic-blackjack
Segments Formed by Intersecting Chords, Secants, and Tangents
This activity is designed to help students discover several important theorems concerning lengths of segments formed by intersecting chords, secants, and tangents.https://education.ti.com/en/activity/detail/segments-formed-by-intersecting-chords-secants-and-tangents
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices
To Toss or To Simulate?
Students use the RandInt() command to simulate the tossing of a coin and the rolling of a die. They will collect data for several trials and use the information to investigate the Law of Large Numbers.https://education.ti.com/en/activity/detail/to-toss-or-to-simulate_1
Run Me a Hypothesis Test
This activity is designed to give students' practice in determining which type of test to run given certain background information. Additionally, it provides practice towards understanding the meaning of rejecting or failing to reject a null hypothesis.https://education.ti.com/en/activity/detail/run-me-a-hypothesis-test
You're Probably Right, It's Wrong - TI-83
In this activity, students perform a simulation to guess answers on a test and determine the experimental probability of passing the test. They then compare it with the theoretical probability.https://education.ti.com/en/activity/detail/youre-probably-right-its-wrong--ti83
NUMB3RS - Season 3 - "Democracy" - No Desk Left Behind
In "Democracy", Charlie calculates the likelihood that five people who knew each other would have died by accident in a two-week period. He estimates that the odds of this are 700 million to 1. To estimate likelihood of an event, a simulation can be used. In this activity, students use a simulati...https://education.ti.com/en/activity/detail/numb3rs--season-3--democracy--no-desk-left-behind
Some Nonparametric Tests
Students explore nonparametric tests for dependent and independent data samples.https://education.ti.com/en/activity/detail/some-nonparametric-tests
Means With Confidence
Students estimate the true mean of a population when the standard deviation is known by finding the sample mean, margin of error and confidence interval.https://education.ti.com/en/activity/detail/means-with-confidence
Testing Hypotheses (Means, Proportions, and Standard Deviations)
In this activity, students evaluate hypotheses.https://education.ti.com/en/activity/detail/testing-hypotheses-means-proportions-and-standard-deviations
NUMB3RS - Season 2 - "Toxin" - How Hard Can It Be?
In "Toxin," the FBI tracks a serial poisoner who uses contaminated drugs. In this activity, the FBI intercepted an encrypted message they believe contains a phone number that could lead to an "insider" who may be helping the poisoner. Don suggests using a computer to start trying to break the cod...https://education.ti.com/en/activity/detail/numb3rs--season-2--toxin--how-hard-can-it-be
What! A Mistake!
Students learn about Type I and Type II errors. Then, for a given scenario, they calculate the probabilities of errors and the power of the test.https://education.ti.com/en/activity/detail/what-a-mistake
Testing Claims About Proportions
Students find z-scores and critical values to test claims about proportions.https://education.ti.com/en/activity/detail/testing-claims-about-proportions
Using the TI-83/84 to Explore the Binomial Theorem
This lesson will introduce students to the binomial theorem through a variety of activities. Pascal's triangle and probabilities will be explored through problem solving. The binomial theorem, combinations formula, and the binomial probability function will also be explored. Students will dis...https://education.ti.com/en/activity/detail/using-the-ti8384-to-explore-the-binomial-theorem
NUMB3RS - Season 2 - "The O.G." - Is It Really Rare?
Suppose that historically, a shooting has occurred in Los Angeles an average of once every 6 hours. Suppose that Charlie is interested in the probability of 2 shootings occurring in a given 24-hour period. He could use a Poisson distribution to find that probability.https://education.ti.com/en/activity/detail/numb3rs--season-2--the-o-g---is-it-really-rare
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/t-distributions
Claims About Two Proportions
Students test claims about two proportions by calculating test statistics, critical values, and P-values, for both one-tailed and two-tailed tests.https://education.ti.com/en/activity/detail/claims-about-two-proportions_1
NUMB3RS - Season 2 - "Soft Target" - Are You Sure?
In "Soft Target," Charlie uses Linear Discriminant Analysis (LDA), a multiple regression method, to predict the next terrorist attack. This method, like many others used to predict events, may use a tree diagram to visualize possibilities. The use of tree diagrams is seen in probability.https://education.ti.com/en/activity/detail/numb3rs--season-2--soft-target--are-you-sure
Survey Project
Students survey other students (numerical and non numerical data) and calculate measures of central tendency (if possible) of data and make regular box-an-whisker plots and outlier box-and-whisker plots to analyze the data.https://education.ti.com/en/activity/detail/survey-project
Describing Categorical Data
Students analyze the distribution of categorical data. They calculate percents and visually compare the data sets with a bar chart.https://education.ti.com/en/activity/detail/describing-categorical-data
Collecting Data
In this activity, students investigate how to use random numbers to collect samples and how to randomly assign subjects to experiments to collect data. They also use the CBL system to collect data in real time.https://education.ti.com/en/activity/detail/collecting-data
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.https://education.ti.com/en/activity/detail/is-it-rare
NUMB3RS - Season 2 - "Mind Games" - Thumbs Up!
In "Mind Games," the FBI hires a psychic to help them solve a series of murders. To test how good he is, they show him the backs of a set of 25 playing cards and ask him to predict whether each is red or black. He gets every single one wrong. In this activity, students conduct an experiment and ...https://education.ti.com/en/activity/detail/numb3rs--season-2--mind-games--thumbs-up
Intro 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/intro-to-the-central-limit-theorem