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
NUMB3RS - Season 3 - "The Art of Reckoning" - Spies Like Us
In "The Art of Reckoning," Charlie discusses the security of a prison. "It's a hyper-secure system, but prisoners have nothing to do except think about how to crack it. Like two opposing armies." Charlie explains that analyzing such a situation involves determining the 'probabilities of penetrati...https://education.ti.com/en/activity/detail/numb3rs--season-3--the-art-of-reckoning--spies-like-us
Points on a Perpendicular Bisector
Students will explore the relationship between a line segment and its perpendicular bisector. Once the concept of a point that is equidistant from two points is illustrated, extensions including isosceles triangles, kites, and chords in a circle may be explored.https://education.ti.com/en/activity/detail/points-on-a-perpendicular-bisector_1
Proof of the Pythagorean Theorem using Transformations
In this activity, students will explore visual proofs of the Pythagorean Theorem using area and transformations. They will use the Cabri™ Jr. app to perform translations on the squares constructed on the two legs and the hypotenuse of a right triangle to consolidate their understanding of the Pyt...https://education.ti.com/en/activity/detail/proof-of-the-pythagorean-theorem-using-transformations
Gambler's Fallacy: Longest Streaks
In this activity, students explore longest the streak for 7 tosses of a coin. They understand the relationship between relative frequency and Theoretical probability. They will be able to clear misconceptions about probabilities of streaks.https://education.ti.com/en/activity/detail/gamblers-fallacy-longest-streaks
Visualizing Vectors
In this activity, students use the CellSheet™ Application to graph vectors. They also learn to find the sum of two vectors.https://education.ti.com/en/activity/detail/visualizing-vectors
Angles of a Triangle
In this activity, students will measure angles and investigate the relationships between interior and exterior angles of a triangle. They understand the definition of interior angles, exterior angles, adjacent angles, supplementary angles, and remote interior angles.https://education.ti.com/en/activity/detail/angles-of-a-triangle
Angles and Transversals
Students explore the relationships of angles formed when two parallel or non-parallel lines are cut by a transversal. This activity investigates the terms: Transversal, corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior an...https://education.ti.com/en/activity/detail/angles-and-transversals
Angles Formed by Two Intersecting Lines
Students will investigate the properties of angles formed by intersecting lines. They examine the definition of adjacent angles, supplementary angles, and vertical angles and learn about two important geometric theorems dealing with vertical and supplementary angles.https://education.ti.com/en/activity/detail/angles-formed-by-two-intersecting-lines
Triangle Inequalities
In this activity, students will discover the Triangle Inequality Theorem and explore the possible lengths of the third side of a triangle given the other two side lengths. Students will also classify the type of triangle as acute, obtuse, or right using the Pythagorean inequalities.https://education.ti.com/en/activity/detail/triangle-inequalities_1
Rotations in the Plane
In this activity, students will explore the properties of rotations and the relationships between the original and image figures.https://education.ti.com/en/activity/detail/rotations-in-the-plane
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
Reflecting a Triangle in the Coordinate Plane
In this activity, students use the drawing and measurement tools of Cabri™ Jr. to blend coordinate geometry with drawing tools. They visualize symmetry and reflect a point across the y-axis. NCTM Geometry Standards: Specify locations and describe spatial relationships using coordinate geometry a...https://education.ti.com/en/activity/detail/reflecting-a-triangle-in-the-coordinate-plane
Easy Programming of geometry formualas
Area, surface area, premiter, volume, you get the catch. All done so the student only has to input one or two numbers.https://education.ti.com/en/activity/detail/easy-programming-of-geometry--formualas
Experimentally Calculating Pi
Because the diameter of a circle is related to the circumference of a circle, we can find this constant relationship by measuring several lids and fitting a regression line to the data. The slope of this line is pi. This is a great activity to allow students to discover that Pi is the relations...https://education.ti.com/en/activity/detail/experimentally-calculating-pi
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
TI Using the Chi-Squared Significance Test
Students will apply the chi-squared test for independence to a data set of high school AP Statistics Exam scores. They will set up a two-way table and calculate the chi-squared test statistic by hand.https://education.ti.com/en/activity/detail/ti-using-the-chisquared-significance-test
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
Testing Goodness-of-Fit and Two-Way Table Chi-Square
Students perform chi-square tests to see if data follows a hypothesized distribution. They also study the two-way table analysis.https://education.ti.com/en/activity/detail/testing-goodnessoffit-and-twoway-table-chisquare
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
Chi-Squared Tests
In this activity, students will look at a problem situation that involves categorical data and will determine which is the appropriate chi-square test to use: the chi-squared goodness of fit or the chi-squared two-way test.https://education.ti.com/en/activity/detail/chisquare-distributions
Comparing Two Means
Students test hypotheses concerning means of two populations by calculating the test statistic and the critical values and graphing the critical region.https://education.ti.com/en/activity/detail/comparing-two-means
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
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
Difference Between Two Proportions
Students use confidence intervals to estimate the difference of two population proportions.https://education.ti.com/en/activity/detail/difference-between-two-proportions