Graphing Quadratic Functions
Students graph quadratic functions and study how the constants in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs. The first part of the activity focuses on the vertex form, while the second part focuses on the standard form. Both activities include...https://education.ti.com/en/activity/detail/graphing-quadratic-functions_1
Binomial Probabilities
Students simulate rolling a die and keeping track of the numbers of successes and failures by using the randBin command.https://education.ti.com/en/activity/detail/binomial-probabilities
Arithmetic Sequences & Series
Students use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots whose points form a straight line.https://education.ti.com/en/activity/detail/arithmetic-sequences--series_1
Distances in the Coordinate Plane
Students will explore distances in the coordinate plane. After finding the coordinates of a segment’s endpoints, students will substitute these values into the distance formula and compare the results to the measured length of the segment. Then students will find the distance between the endpoint...https://education.ti.com/en/activity/detail/distances-in-the-coordinate-plane_1
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
One- and Two-Variable Statistics--Review
Students review one-variable topics such as graphing quantitative variables, calculating measures of central tendency and spread, and making comparisons.https://education.ti.com/en/activity/detail/one-and-twovariable-statisticsreview
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
Off to the Races
In this activity, students set weights for factors and observe how it affects the probability of a particular outcome. They set a weight for 3 factors for each of the six horses in a race. The three factors are weighted differently in different parts of the race. They compare the experimental and...https://education.ti.com/en/activity/detail/off-to-the-races
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
NUMB3RS - Season 3 - "Traffic" - What is Random
In "Traffic", Charlie lectures about randomness, explaining that 'our brains misperceive evenness as random and wrongly assume that groupings are deliberate'. In mathematics, we expect to see some clustering, or an occasional appearance of a pattern, when examining truly random events. In this ac...https://education.ti.com/en/activity/detail/numb3rs--season-3--traffic--what-is-random
NUMB3RS - Season 3 - "The Art of Reckoning" - Spies Like Us
In "The Art of Reckoning," Charlie discusses the security of a prison. "It's a hyper-secure system, but prisoners have nothing to do except think about how to crack it. Like two opposing armies." Charlie explains that analyzing such a situation involves determining the 'probabilities of penetrati...https://education.ti.com/en/activity/detail/numb3rs--season-3--the-art-of-reckoning--spies-like-us
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
NUMB3RS - Season 3 - "Spree" - A Pursuit Curve Problem
In "Spree", two lovers have committed a series of crimes at various locations. Agents Eppes and Edgerton have plotted a map of their movements and have enlisted Charlie's help in trying to detect a pattern. Charlie says that the map shows only half of the story, and this pattern 'is a variation o...https://education.ti.com/en/activity/detail/numb3rs--season-3--spree--a-pursuit-curve-problem
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!
In this activity, students study some important concepts of probability. They use coin tossing experiments to determine the probability of a tossed coin coming up heads. They examine both short and long term experimental probabilities and their relationship to the theoretical probability.https://education.ti.com/en/activity/detail/heads-up
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
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 - "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
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
Now You See It, Now You Don't - TI-83
In this activity, students study the relationship between age and near point accommodation (NPA). They predict a person's age using NPA distance values. They use exponential regression, create box-and-whisker plots and histograms.https://education.ti.com/en/activity/detail/now-you-see-it-now-you-dont--ti83
Relationship of Angles to the Circle
In this activity, students recognize the relationship of angles to its circles. They study the Inscribed Angle Theorem and its corollaries.https://education.ti.com/en/activity/detail/relationship-of-angles-to-the-circle
NUMB3RS - Season 2 - "All's Fair" - Guess My Type or Lose
In "All's Fair," Charlie attempts to use social image typology to analyze motivations and strategies to determine which person(s) would be most likely to commit a terrorist act. With social image typology, one can study why people make decisions that they do. Based on what they know about each su...https://education.ti.com/en/activity/detail/numb3rs--season-2--alls-fair--guess-my-type-or-lose
Triangle Inequality Theorem
In this activity, students will explore the concepts underlying the Triangle Inequality Theorem by comparing side lengths and angle measures of a triangle. They will use an interactive construction to see why this theorem is true.https://education.ti.com/en/activity/detail/triangle-inequality-theorem_1
Ratios in Right Triangles
The study of properties of right triangles is a major topic in mathematics. In this activity, you will investigate three common right triangle trigonometric ratios.https://education.ti.com/en/activity/detail/ratios-in-right-triangles
Measure Up
Students compare their height with the average height of students in the classroom. They create histograms to analyze the data, and construct boxplots to summarize the height statistics.https://education.ti.com/en/activity/detail/measure-up_1