Triangle Congruence with Activity Center
...le congruence problem. The teacher displays a pair of triangles on the overhead projector or whiteboard and students move their cursor to the region that represents their answer. The teacher can give hints and immediately see the effect on student thinking by the movement of the cursors. Finish w...https://education.ti.com/en/activity/detail/triangle-congruence-with-activity-center
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
Triangle Inequalities
This activity will help students visualize the properties of triangles stated in the theorems. By dragging the vertices, the students can see that the properties hold regardless of the size of the triangles and which sides are the longest or shortest.https://education.ti.com/en/activity/detail/triangle-inequalities_2
Ryan's Puppy Problem
This problem can be used in Geometry of Algebra. Ryan desires to build a rectangluar fence to keep his puppy in. What shape should he use if he has 8 meters of fencing?https://education.ti.com/en/activity/detail/ryans-puppy-problem
The Tangent Ratio
In this activity students explore the tangent ratio. Students construct a right triangle using perpendicular lines, and a line that forms the hypotenuse of the triangle. When students construct the hypotenuse line it is very important that the second point that forms the line is not on the perpen...https://education.ti.com/en/activity/detail/the-tangent-ratio
TI-83/84 Scavenger Hunt
A short activity that can be used to teach your students about the graphing calculator. Written by a student to ensure that students can understand it. Includes teacher's key.https://education.ti.com/en/activity/detail/ti8384-scavenger-hunt
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
Drawing a Line Tangent to a Circle
Students use the drawing and measurement tools of Cabri™ Jr. to draw a line tangent to a circle. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships.https://education.ti.com/en/activity/detail/drawing-a-line-tangent-to-a-circle
Dynamic Geometry: Program Basics
Students use the Cabri™ Jr. application to draw triangles and explore properties of perpendicular bisectors of the three sides of different types of the triangles. They study the measures of angles of a triangle and understand that the sum of the measures of angles of a triangle is always 180 deg...https://education.ti.com/en/activity/detail/dynamic-geometry-program-basics
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
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
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
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
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
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
Collecting Pens (Continued)
In this activity, students learn how to instruct the calculator to collect and organize the results from several trials of a simulation designed to find out how many boxes of cereals a customer would have to buy to collect all six color pens. Students enter a prewritten program, analyze the resul...https://education.ti.com/en/activity/detail/collecting-pens-continued
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
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
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
NUMB3RS - Season 2 - "Judgement Call" - Filtering Suspects
In "Judgement Call,"Charlie helps the FBI sort through their case files for relevant suspects. He applies a logical filter to find the files most relevant to a specific crime. This activity explores Bayesian Filtering and exposes students to how math can be seen in the world around them.https://education.ti.com/en/activity/detail/numb3rs--season-2--judgement-call--filtering-suspects
NUMB3RS - Season 2 - "Harvest" - Markov Chain Links
In "Harvest," Charlie is trying to identify possible destinations and unrecorded routes of an ambulance driver suspected of transporting stolen organs. Charlie tells Colby that they can use a Hidden Markov Model to help narrow down these possibilities.https://education.ti.com/en/activity/detail/numb3rs--season-2--harvest--markov-chain-links
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