Operations of Integers
This set of multiple choice questions asks students to find the intercepts and vertices of quadratic functions. Solutions are included.https://education.ti.com/en/activity/detail/operations-of-integers
Makin' It Through The Winter
Students simulate a binomial distribution and calculate probabilities for a variety of situations involving binomial probability distributions.https://education.ti.com/en/activity/detail/makin-it-through-the-winter
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
NUMB3RS - Season 3 - "Waste Not" - Sharpshooter
It is believed that an unusually high occurrence of cancer in a small area may represent a "cancer cluster." Because this is rare, it is more likely to be a case of "Texas Sharpshooting." For example, suppose a person randomly shoots a gun several times at the side of a barn and draws a circle ar...https://education.ti.com/en/activity/detail/numb3rs--season-3--waste-not--sharpshooter
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
How Many? (Stats)
Students explore Bernoulli Probabilities. They will use them to calculate the probabilities of various single and cumulative events.https://education.ti.com/en/activity/detail/how-many-stats
Forecasting
Students use regression to forecast values from a data. They study exponential smoothing. They also use the program FORECAST to automate a multiplicative model.https://education.ti.com/en/activity/detail/forecasting
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
Gambler's Fallacy: Lucky Streaks and Slumps
In this activity, students determine the probability of independent and compound events. They design simulations and collect data to explore streaking behavior.https://education.ti.com/en/activity/detail/gamblers-fallacy-lucky-streaks-and-slumps
Heads Up! (continued)
In this activity, students explore how to write and enter a calculator program that will simulate coin tossing for a given number of times and count the number of heads and tails. They analyze the program and modify it.https://education.ti.com/en/activity/detail/heads-up-continued
Polygon Area
Students will compare areas of different polygons with a fixed perimeter and find the shape that gives the maximum areahttps://education.ti.com/en/activity/detail/polygon-area
NUMB3RS - Season 3 - "Longshot" - Not So Great Expectations
In "Longshot," Charlie explains that the racetrack uses a pari-mutual betting system - the odds of winning vary with the amount bet on each horse. This system not only calculates proportional payoffs for the bettors, but also guarantees a profit for the racetrack owners by removing a percentage o...https://education.ti.com/en/activity/detail/numb3rs--season-3--longshot--not-so-great-expectations
Geometric Distributions
Students simulate a geometric distribution of rolling a die to determine experimental probabilities and calculate theoretical probabilities.https://education.ti.com/en/activity/detail/geometric-distributions
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
Angles in a Polygon
Students will expore the interior and exterior angle of 3 polygons and develop the formula to calculate the sum of degrees without the measurement of the angles being taken.https://education.ti.com/en/activity/detail/angles-in-a-polygon
Plinko - Frequency Plots and Experimental Probability
In this activity, students simulate the Plinko game from the TV show "The Price Is Right", then use Navigator to share their results for the class. A frequency plot of class results is constructed, and conjectures made as to the experimental probability of winning the big money in this game. Th...https://education.ti.com/en/activity/detail/plinko--frequency-plots-and-experimental-probability
NUMB3RS - Season 3 - "Longshot" - Expected Value
In "Longshot", a man is murdered after the horse he bet on won a race. A notebook filled with horse racing data and equations is found on the victim. Charlie finds that the equations were designed to pick the second place finisher. He explains that the racetrack uses a pari-mutuel betting system,...https://education.ti.com/en/activity/detail/numb3rs--season-3--longshot--expected-value
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
Taxicab Geometry
Students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab perpendicular bisect...https://education.ti.com/en/activity/detail/taxicab-geometry_1
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices
The Spread of Disease
In this activity, students simulate the spread of a disease in a population. They use the Probability Simulation application to learn that certain sums occur more often than others because of combinations of addends of those sums.https://education.ti.com/en/activity/detail/the-spread-of-disease
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