The Euler Line and Its Ratios
In this activity, students will explore the Euler Line of a triangle. Students will discover that the centroid, circumcenter, and orthocenter are collinear. Students will also find that if the triangle is isosceles, then the centroid, circumcenter, incenter, and orthocenter are all collinear. Stu...https://education.ti.com/en/activity/detail/the-euler-line-and-its-ratios
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
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
Transformation
In this activity, students study different types of transformations.https://education.ti.com/en/activity/detail/transformation
Nevada's Population
Students examine patterns and use these patterns to try to predict different aspects of an event. They study the statistical patterns for the population of the state of Nevada over a period of hundred years, and predict the population in the year 2010. Students learn to graph scatter plots, graph...https://education.ti.com/en/activity/detail/nevadas-population
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
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: Basic Constructions
Students use the Cabri™ Jr. application to draw triangles and construct perpendicular bisectors on the sides of a triangles. They study the properties of a triangle and understand how the measures of angles of a triangle is always 180 degrees.https://education.ti.com/en/activity/detail/dynamic-geometry-basic-constructions
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
Simple Constructions
In this skill activity, students will use the Constructions Tools Menu in Cabri™ Jr. to contruct a parallelogram. They will also construct an altitude, an angle bisector and a median of a triangle.https://education.ti.com/en/activity/detail/simple-constructions
NUMB3RS - Season 3 - "Hardball" - Is It for Real
In "Hardball," an amateur mathematician uncovers an equation that uses baseball statistics to identify which players are using performance enhancing substances. By analyzing player performance, he is able to determine when an athlete began using a performance enhancing substance. Students will us...https://education.ti.com/en/activity/detail/numb3rs--season-3--hardball--is-it-for-real
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
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
Some Nonparametric Tests
Students explore nonparametric tests for dependent and independent data samples.https://education.ti.com/en/activity/detail/some-nonparametric-tests
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
What is A Kanban?
In this activity, students use the CellSheet™ Application to understand how to track inventory and predict future trends based on average daily use. They will collect data, analyze it and make predictions. They also learn to use linear regression model to predict future trends.https://education.ti.com/en/activity/detail/what-is-a-kanban
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
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
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
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
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