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
Finding the Maximum Product
In this activity, students use the CellSheet™ Application to organize data. They solve a problem of finding two positive integers equal to or greater than zero with a given sum and the maximum product.https://education.ti.com/en/activity/detail/finding-the-maximum-product
Math TODAY: Wing Tabs Save Fuel
Using the USA TODAY® Infograph, 'Wing Tabs Save Fuel,' ratios and proportions will be used to explore the concept of similarity between a drawing/model and the actual dimensions. The effects of dilation (size change) on an image and pre-image will also be explored. In addition, students will look...https://education.ti.com/en/activity/detail/math-today-wing-tabs-save-fuel
Isosceles Triangle
In this activity, students construct isosceles and equilateral triangles. They discover that if two sides of a triangle are congruent, then the angles opposite them are congruent. They understand that an equilateral triangle is also equiangular.https://education.ti.com/en/activity/detail/isosceles-triangle
Dilations in the Plane
A dilation is a transformation that produces a figure with a different size from that of the original figure. In this activity, you will explore the properties of dilations and the relationships between the original and image figures.https://education.ti.com/en/activity/detail/dilations-in-the-plane
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
Exploring the Circumcenter of a Triangle
In this activity, students develop an understanding of the circumcenter of a triangle. Students construct perpendicular bisectors of three sides of a triangle and find the circumcenter. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shape...https://education.ti.com/en/activity/detail/exploring-the-circumcenter-of-a-triangle
Exploring the Diameter and Circumference of a Circle
In this activity, students explore the relationship between a circles' circumference and its diameter which leads them to their own "discovery" of a value for pi. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematic...https://education.ti.com/en/activity/detail/exploring-the-diameter-and-circumference-of-a-circle
Organized Guess and Check using CellSheet
Students will use the APP CellSheet to aid in answering a typical guess and test problem. The activity will help in their organizational ability as well as with cell sheet usage. Their answers will be shared using Navigatorhttps://education.ti.com/en/activity/detail/organized-guess-and-check-using-cellsheet
Extension: Parallel Lines and the Sum of the Angles
Students construct a line parallel to the base of a triangle and measure the angles formed. They use the construction to prove that the sum of the measures of the interior angles of a triangle is 180 degrees.https://education.ti.com/en/activity/detail/extension-parallel-lines-and-the-sum-of-the-angles
Exploring the Orthocenter of a Triangle
In this activity, students use the Cabri™ Jr. tools to draw altitudes in a triangle. They construct a line perpendicular to a given line and through a given point. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathemat...https://education.ti.com/en/activity/detail/exploring-the-orthocenter-of-a-triangle
Exploring Quadratic Data with Transformation Graphing
Students practice with the parameters of the vertex form of the parabola and their effect on the shape of the curve. They use this concept to find a quadratic model. They also use translation and dilation to change the general parabola.https://education.ti.com/en/activity/detail/exploring-quadratic-data-with-transformation-graphing
Give Me a Hand or Leaf Me Alone - TI-83
In this activity, students find the surface area of geometric shapes cut from card paper and relate it to its mass. They use this data to find the surface area of irregularly shaped objects.https://education.ti.com/en/activity/detail/give-me-a-hand-or-leaf-me-alone--ti83
Exploring Quadratic Data
Students will analyze the vertex form of a parabola and find an approximate fit of a model. They will study the quadratic function (parabola) and its properties by developing quadratic models. They also use translation and dilation to change the general parabola.https://education.ti.com/en/activity/detail/exploring-quadratic-data
It's a Bug's Temp
Uses information provided in a table to determine what if any relationship exists between the air temperature and the temperature of an insect.https://education.ti.com/en/activity/detail/its-a-bugs-temp
Centers of a Triangle
The centroid, circumcenter, orthocenter, and incenter are the four classic centers of a triangle that are studied in geometry. In this activity, you will construct these center points and discover their properties.https://education.ti.com/en/activity/detail/centers-of-a-triangle