Using the TI-83/84 to Explore the Binomial Theorem
This lesson will introduce students to the binomial theorem through a variety of activities. Pascal's triangle and probabilities will be explored through problem solving. The binomial theorem, combinations formula, and the binomial probability function will also be explored. Students will dis...https://education.ti.com/en/activity/detail/using-the-ti8384-to-explore-the-binomial-theorem
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
Survey Project
Students survey other students (numerical and non numerical data) and calculate measures of central tendency (if possible) of data and make regular box-an-whisker plots and outlier box-and-whisker plots to analyze the data.https://education.ti.com/en/activity/detail/survey-project
Car Sales
In this activity, students' will create a box and whisker plot using a list. The list will be sent using TI-Navigator™ and contains the number of car sales since 1970. They will determine the values in the box plot and answer some additional questions.https://education.ti.com/en/activity/detail/car-sales
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
Collecting Pens
Students explore simulation strategies to solve real world problems involving probability and randomness. They use the Monte Carlo procedure to simulate the collecting of six different colored felt-tipped markers from boxes of Kellogg's cereals. They examine and analyze summary statistics and sta...https://education.ti.com/en/activity/detail/collecting-pens
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
Describing Bivariate Data (Two Quantitative Variables)
Students explore the relationship between two quantitative variables in bivariate data using various x-y plots. They compare the relationships for several categories on the same plot. Students calculate the correlation coefficient to measure the strength and direction of the linear relationship t...https://education.ti.com/en/activity/detail/describing-bivariate-data-two-quantitative-variables
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
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
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
Interpreting Confidence Intervals
This activity is used in conjuntion with the famous M&M's experiment for introducing confidence intervals in AP Statistics. Navigator is used to allow each student to contribute the endpoints of a CI obtained from their own sample of M&M's. Quick polls are used to questions student confidence i...https://education.ti.com/en/activity/detail/interpreting-confidence-intervals
Approximation of Pi Using Statistical Testing
Students will use a Monte Carlo method to collect data. This data, along with an area model of pi, will be used to approximate pi.https://education.ti.com/en/activity/detail/approximation-of-pi-using-statistical-testing
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
A Simulation
In this activity, students use the CellSheet™ Application to simulate a probability event. This activity simulates an experiment performing a survey. Students can see that the results of a random survey can vary widely if a small sample size is used.https://education.ti.com/en/activity/detail/a-simulation
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: Dangerous Births
Using the USA TODAY® Snapshot "Dangerous Births," students will explore the geometric relationships of triangles using perpendicular bisectors of the sides, bisectors of the angles and medians of the triangle. They will explore the three concurrent lines formed that pass through a single point. S...https://education.ti.com/en/activity/detail/math-today-dangerous-births
Equations of Circles
In this activity, students will explore the relationship among the location of the center of the circle, the radius of a circle, and the equation of a circle in a plane. They will also investigate the relationship between the points inside, on, and outside a circle, and the equation of the circle.https://education.ti.com/en/activity/detail/equations-of-circles_1
Discovering the Quadrilateral Properties
This activity will use Cabri™ Jr. to allow students' the ability to discover all of the properties of each quadrilateral, rather than simply copying them out of a textbook.https://education.ti.com/en/activity/detail/discovering-the-quadrilateral-properties
NUMB3RS - Season 2 - "Soft Target" - Is This Seat Taken?
In "Soft Target," Alan is considering how to arrange people in seats at a wedding. Charlie points out that although there are many possibilities for seating arrangements, you reduce those possibilities if you decide who needs to sit next to whom.https://education.ti.com/en/activity/detail/numb3rs--season-2--soft-target--is-this-seat-taken
Measures of Central Tendency Activity: Height of the Class
The purpose of this lesson is to have students create a box and whiskers plot from collecting class data of each person's height.https://education.ti.com/en/activity/detail/measures-of-central-tendency-activity-height-of-the-class
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
Points in the Coordinate Plane
In this activity, students will use the Cabri™ Jr. Application to explore the coordinate system.https://education.ti.com/en/activity/detail/points-in-the-coordinate-plane