NUMB3RS - Season 3 - "Traffic" - What is Random
In "Traffic", Charlie lectures about randomness, explaining that 'our brains misperceive evenness as random and wrongly assume that groupings are deliberate'. In mathematics, we expect to see some clustering, or an occasional appearance of a pattern, when examining truly random events. In this ac...https://education.ti.com/en/activity/detail/numb3rs--season-3--traffic--what-is-random
Fitting an Equation to Bivariate Data
In this activity, students fit a linear least-square regression line to a population data. They explore various functions to model the given data.https://education.ti.com/en/activity/detail/fitting-an-equation-to-bivariate-data
Exploring Exponential Decay
Students will work in pairs and conduct an experiment with M&M's where they start with a cupful and continue to decrease the n umber of M&M's in their cup.https://education.ti.com/en/activity/detail/exploring-exponential-decay
Does a Correlation Exist?
Students determine, by examining a graph, if a data set has a positive or negative correlation coefficient.https://education.ti.com/en/activity/detail/does-a-correlation-exist_1
How Far Am I Off?
Students calculate a confidence interval using the chi-square distribution to estimate a population variance.https://education.ti.com/en/activity/detail/how-far-am-i-off
NUMB3RS - Season 3 - "Longshot" - Not So Great Expectations
In "Longshot," Charlie explains that the racetrack uses a pari-mutual betting system - the odds of winning vary with the amount bet on each horse. This system not only calculates proportional payoffs for the bettors, but also guarantees a profit for the racetrack owners by removing a percentage o...https://education.ti.com/en/activity/detail/numb3rs--season-3--longshot--not-so-great-expectations
Geometric Distributions
Students simulate a geometric distribution of rolling a die to determine experimental probabilities and calculate theoretical probabilities.https://education.ti.com/en/activity/detail/geometric-distributions
Which Trapezoids Are Special?
Cabri Jr. allows students to look at several kinds of trapezoids in order to see which ones are special. With this activity students can see that an isosceles trapezoid is a special one. In a parallel manner, students can see why a parallelogram can be considered a special trapezoid. This acti...https://education.ti.com/en/activity/detail/which-trapezoids-are-special
NUMB3RS - Season 3 - "Longshot" - Expected Value
In "Longshot", a man is murdered after the horse he bet on won a race. A notebook filled with horse racing data and equations is found on the victim. Charlie finds that the equations were designed to pick the second place finisher. He explains that the racetrack uses a pari-mutuel betting system,...https://education.ti.com/en/activity/detail/numb3rs--season-3--longshot--expected-value
Geometric Series
Students will explore infinite geometric sequences and the partial sums of geometric series. The students will determine the limits of these sequences and series using tables and graphs.https://education.ti.com/en/activity/detail/geometric-series_1
NUMB3RS - Season 2 - "Assassin" - The Escape Game
In "Assassin," Charlie is trying to figure out where a killer might strike given that he knows who the victim will be. By analyzing the movements of the would-be victim, Charlie models the decisions that the assassin will make. This is an example of behavioral game theory, where the motives of tw...https://education.ti.com/en/activity/detail/numb3rs--season-2--assassin--the-escape-game
NUMB3RS - Season 3 - "Finders Keepers" - The Leaf Drops
In "Finders Keepers," a world-class racing yacht sinks in the ocean. The NSA has the exact location where its homing beacon shut down and assumes that is where the ship sank. The NSA is stumped when they cannot find the yacht at this location because they assumed the boat sank directly to the bot...https://education.ti.com/en/activity/detail/numb3rs--season-3--finders-keepers--the-leaf-drops
NUMB3RS - Season 3 - "Killer Chat" - Stylometry
In "Killer Chat," the FBI has obtained a collection of online chat dialogues from a suspected killer. Charlie proposes he use Statistical Linguistic Analysis to identify the author. The style and language can essentially fingerprint the writing. Stylometry, the practice of applying statistical an...https://education.ti.com/en/activity/detail/numb3rs--season-3--killer-chat--stylometry
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
What's Normal, Anyway?
Students explore normal distribution and several properties. First, simulate a binomial experiment and use a histogram of the data to examine the general shape of a normal curve. They graph a normal distribution given the mean and standard deviation. They see how the graph changes when just the m...https://education.ti.com/en/activity/detail/whats-normal-anyway_1
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
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
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
Square it Up!
Students investigate the method of least squares by finding the residuals and the sum of the squares of the residuals.https://education.ti.com/en/activity/detail/square-it-up_1
Assessing Normalcy
Students use four criteria to determine if a data set is normal. They begin by looking at a histogram to determine if it is symmetric and bell-shaped.https://education.ti.com/en/activity/detail/assessing-normalcy
Density Curves
Students will be introduced to density curves as a simple analysis of a data set. They also will investigate where the median and mean lie on symmetric or skewed graphs.https://education.ti.com/en/activity/detail/density-curves
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
Candy Pieces
Students use a chi-square test for goodness-of-fit to determine if there is a significant difference between the proportions they find in the sample, and the proportions they would expect if the manufacturer produced equal proportions of each color.https://education.ti.com/en/activity/detail/candy-pieces
A Simulation
In this activity, students use the CellSheet™ Application to simulate a probability event. This activity simulates an experiment performing a survey. Students can see that the results of a random survey can vary widely if a small sample size is used.https://education.ti.com/en/activity/detail/a-simulation