F Distribution
Students study the characteristics of the F distribution and discuss why the distribution is not symmetric (skewed right) and only has positive values.https://education.ti.com/en/activity/detail/f-distribution
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
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
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
Angle Bisectors and Medians of Quadrilaterals
In this activity, students will construct angle bisectors and medians in quadrilaterals and explore the properties that appear to be true for four-sided figures. They may find it necessary to review the definitions and properties of special quadrilaterals in order to construct the figures.https://education.ti.com/en/activity/detail/angle-bisectors-and-medians-of-quadrilaterals
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 Intersecting Chords, Secants, and Tangents
In this activity, students will investigate properties of angles and arcs formed when chords, secants, and tangents intersect and intercept arcs in a circle. They discover several important theorems concerning circles and arc sizes. They make use of the Central Angle theorem, which ensures that t...https://education.ti.com/en/activity/detail/angles-formed-by-intersecting-chords-secants-and-tangents
Taxicab Geometry
Students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab perpendicular bisect...https://education.ti.com/en/activity/detail/taxicab-geometry_1
Now You See It, Now You Don't - TI-83
In this activity, students study the relationship between age and near point accommodation (NPA). They predict a person's age using NPA distance values. They use exponential regression, create box-and-whisker plots and histograms.https://education.ti.com/en/activity/detail/now-you-see-it-now-you-dont--ti83
Sin, Cos, and Tan of Right Triangles
In this activity, students explore a right angled triangle and its trigonometric concepts. They investigate the trigonometric ratios for the angles of the triangle.https://education.ti.com/en/activity/detail/sin-cos-and-tan-of-right-triangles
NUMB3RS - Season 2 - "Better or Worse" - Creating Random Numbers
Random numbers are used every day in many different ways. Banks use random numbers to make codes to send information over the internet; lotteries use random numbers to choose winners; computer games use random numbers to determine what will happen next. Depending on their use, it may be important...https://education.ti.com/en/activity/detail/numb3rs--season-2--better-or-worse--creating-random-numbers
Special Parallelograms
In this activity, students will study special types of parallelograms like rhombus and rectangle, and investigate properties related to their diagonals.https://education.ti.com/en/activity/detail/special-parallelograms_1
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
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
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
NUMB3RS - Season 2 - "Rampage" - I...It...Itera...Iteration
In "Rampage," a suspect enters the FBI Bullpen and moves about, apparently shooting people at random. Charlie examines a diagram of the killer's path through the Bullpen and suggests it might resemble Brownian motion. In this activity, students first model this motion with ten iterations by hand...https://education.ti.com/en/activity/detail/numb3rs--season-2--rampage--i---it---itera---iteration
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
NUMB3RS - Season 2 - "Mind Games" - Walkabout
In "Mind Games," Charlie uses the Fokker-Planck equation to predict the movement of illegal immigrants. The equation is used to predict the likely movement of something under the influence of external forces. It was originally developed to study Brownian motion, the apparently random movement of ...https://education.ti.com/en/activity/detail/numb3rs--season-2--mind-games--walkabout
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
Demonstrating Probability, Simulations, and Probability Distributions
This activity demonstrates the probability of an event happening with the simulation of a coin toss. Students will learn how probabilities can be computed. They will simulate distributions to check the reasonableness of the results. They also explore various probability distributions.https://education.ti.com/en/activity/detail/demonstrating-probability-simulations-and-probability-distributions
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
NUMB3RS - Season 2 - "Mind Games" - Right or Wrong
In "Mind Games," a psychic shocks Charlie by incorrectly guessing the color (black or red) of 25 cards in a row. As Larry says, "the probability of getting them all wrong is the same as getting them all right." This activity applies the binomial theorem to the probability of correctly guessing a ...https://education.ti.com/en/activity/detail/numb3rs--season-2--mind-games--right-or-wrong
NUMB3RS - Season 2 - "Double Down" - That's So Random
In "Double Down," three college students attempt to get an edge in a casino card game by analyzing the mechanical randomization process used to shuffle the cards. As Charlie explains, the auto-shuffler relies on an algorithm to deal the cards in random order. The students are able to crack the al...https://education.ti.com/en/activity/detail/numb3rs--season-2--double-down--thats-so-random
Exploring the Centroid of a Triangle
In this activity, students investigate what happens when all three medians of a triangle are drawn. They learn how to locate the centroid. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geome...https://education.ti.com/en/activity/detail/exploring-the-centroid-of-a-triangle