Hypothesis Testing: Means
Students test a claim about a mean with a large sample size at the five-percent significance level. The test statistic is found and compared to the critical value.https://education.ti.com/en/activity/detail/hypothesis-testing-means
Law of Large Numbers: Equal Opportunities
In this activity, students will use the Probability Simulation application to roll a fair die and explore the Law of Large Numbers. They will conduct probability experiments that involve tossing a fair die, graph the results, compare the experimental probability to its theoretical probability and...https://education.ti.com/en/activity/detail/law-of-large-numbers-equal-opportunities
Law of Large Numbers: Adding It Up
In this activity, students examine the relationship between relative frequency and theoretical probability to understand the Law of Large Numbers. They will explore the concept of independent events. They will also discern the difference between relative and cumulative frequencies.https://education.ti.com/en/activity/detail/law-of-large-numbers-adding-it-up
Law of Large Numbers: A Weighty Decision
In this activity, students will explore the Law of Large Numbers. By examining unfair models, they will expand their understanding of probability. They predict the weighting of an unfair model by analyzing experimental data and distributions. They will also formulate and test a hypothesis on the ...https://education.ti.com/en/activity/detail/law-of-large-numbers-a-weighty-decision
It's a Two-Way Street
Students will be introduced to two-way tables by calculating marginal and conditional distributions using formulas in a spreadsheet.https://education.ti.com/en/activity/detail/its-a-twoway-street
Perpendicular Bisector of a Line Segment
Students learn to draw a segment and its perpendicular bisector. They understand right angles and congruent segments. Students observe that changing the length or orientation of the segment changes the perpendicular bisector. NCTM Geometry Standard covered: Analyze characteristics and properties ...https://education.ti.com/en/activity/detail/perpendicular-bisector-of-a-line-segment
How Random!
Students use simulations and graphs to explore the common sense notion that repeatedly flipping a coin results in "heads up" about half of the time. First, they simulate an experiment by representing single coin flips with random numbers. Next, they use a given formula to simulate multiple coin f...https://education.ti.com/en/activity/detail/how-random_1
Perpendicular Segments in a Circle
Students learn about chords of a circle. They draw a line perpendicular to the chord and passing through the center of the circle. They explore the lengths of the two segments of the chord. They investigate with a different chord and with different sized circles. NCTM Geometry Standard covered: A...https://education.ti.com/en/activity/detail/perpendicular-segments-in-a-circle
Parallel Lines Cut By A Transversal
In this activity, students learn and increase their knowledge about the angles formed when parallel lines are cut by a transversal. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric re...https://education.ti.com/en/activity/detail/parallel-lines-cut-by-a-transversal_1
NUMB3RS - Season 3 - "Take Out" - Outliers
In "Take Out," Amita and Charlie help the FBI track financial transfers from the US to Mexico . There are so many transfers that it is difficult to find the specific transfer. Charlie explains that it is 'a matter of using a target-specific optimization model. Something called Outlier Detection.'...https://education.ti.com/en/activity/detail/numb3rs--season-3--take-out--outliers
Financial Mathematics
We at COMAP have a free download course in financial mathematics, with emphisis on personal finance, for upper high school and undergraduate college. The course includes extensive code for the TI83/84. To see the course, go to COMAP.com, register, and COMAP will e-mail your a password. An art...https://education.ti.com/en/activity/detail/financial-mathematics
Points on the Perpendicular Bisector of a Segment
In this activity, students use the drawing and measurement tools of Cabri™ Jr., to learn and understand the concept of "equidistant from the endpoints of a segment." They observe the changes if they move a point on the perpendicular bisector. NCTM Geometry Standard covered: Analyze characteristic...https://education.ti.com/en/activity/detail/points-on-the-perpendicular-bisector-of-a-segment
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
NUMB3RS - Season 3 - "Hardball" - Less it More
In "Hardball", an amateur mathematician named Oswald Kettner creates a mathematical process that uses baseball statistics to identify players who are abusing steroids. The FBI, with Charlie's assistance, is called in to protect Oswald from being a murder target for his findings. In this activity,...https://education.ti.com/en/activity/detail/numb3rs--season-3--hardball--less-it-more
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
To Toss or To Simulate?
Students use the RandInt() command to simulate the tossing of a coin and the rolling of a die. They will collect data for several trials and use the information to investigate the Law of Large Numbers.https://education.ti.com/en/activity/detail/to-toss-or-to-simulate_1
Means With Confidence
Students estimate the true mean of a population when the standard deviation is known by finding the sample mean, margin of error and confidence interval.https://education.ti.com/en/activity/detail/means-with-confidence
NUMB3RS - Season 2 - "The Running Man" - The Eyes Have It
The FBI is investigating a robbery at the research facility of a large company. The FBI believes that the robbers were employees of the company, because they were able to bypass the iris recognition security scan and gain entrance. However, a security camera was able to capture a partial image of...https://education.ti.com/en/activity/detail/numb3rs--season-2--the-running-man--the-eyes-have-it
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 - "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
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
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
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