Shortest Distance Between Points and Lines
This activity investigates concepts such as the shortest distance between two points in a plane, and the shortest distance between a line and a point not on the line. The analytical explanation of these concepts is supported with visual illustrations.https://education.ti.com/en/activity/detail/shortest-distance-between-points-and-lines
On Your Mark, Get Set, React
This session will demonstrate a novel approach to reaction time experiments done in junior science and mathematics courses. Participants will use a Calculator-Based Ranger (CBR™) and a TI-83+ to record their reaction times. A statistical extension will be presented for use in mathematics classes....https://education.ti.com/en/activity/detail/on-your-mark-get-set-react
Perimeter and Area of a Square
Students study the perimeter and area of a square, and explore the relationship between them and the length of the side of the square.https://education.ti.com/en/activity/detail/perimeter-and-area-of-a-square
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
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
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
NUMB3RS - Season 3 - "Waste Not" - Different or Not?
In the episode, the FBI discovers that children in the area of a sinkhole seem to have an unusually high occurrence of cancer. FBI agent Megan Reeves believes that this might represent a "cancer cluster," but Charlie warns her not to jump to this conclusion too quickly. Students will use a statis...https://education.ti.com/en/activity/detail/numb3rs--season-3--waste-not--different-or-not
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
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
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
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
Exponential Growth Experiment
Students will work in pairs and will conduct a growth experiment. They will record their answers for 7 to 10 trials. They will make a scatterplot of their data and share their graphs with the class.https://education.ti.com/en/activity/detail/exponential-growth-experiment
Exploring Exponential Decay
Students will work in pairs and conduct an experiment with M&M's where they start with a cupful and continue to decrease the n umber of M&M's in their cup.https://education.ti.com/en/activity/detail/exploring-exponential-decay
Properties of the Centers of a Triangle
Students investigate the sum of the measures of the interior angles of a triangle. This activity explores interior angles, and their relationship with the exterior angles of a triangle.https://education.ti.com/en/activity/detail/properties-of-the-centers-of-a-triangle
Does a Correlation Exist?
Students determine, by examining a graph, if a data set has a positive or negative correlation coefficient.https://education.ti.com/en/activity/detail/does-a-correlation-exist_1
Fun with P(Geo), Parts 1 - 3, and quiz
Using Cabri Jr. and various "areas" to explore using P(Geo).https://education.ti.com/en/activity/detail/fun-with-pgeo-parts-1--3-and-quiz
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
Points on a Perpendicular Bisector
Students will explore the relationship between a line segment and its perpendicular bisector. Once the concept of a point that is equidistant from two points is illustrated, extensions including isosceles triangles, kites, and chords in a circle may be explored.https://education.ti.com/en/activity/detail/points-on-a-perpendicular-bisector_1
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
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