Is a square a special case of rectangle?
The definition of square can determine whether it is a special case of a rectangle. Using the Cabri Jr. application, students can get a feel for why its definition makes sense. Along the way, they get experience with perpendiculars, parallels, measuring lengths, and an informal look at the inte...https://education.ti.com/en/activity/detail/is-a-square-a-special-case-of-rectangle
Shortest Distance Problem
This is a great follow-up to the Introduction to Properties in Reflections. Students may have trouble producing a scaled drawing. Using a scale of 1 to 5 works well. See the figure below for a possible scaled construction.https://education.ti.com/en/activity/detail/shortest-distance-problem
Similar Figures
In this activity, students investigate the properties of similar triangles.https://education.ti.com/en/activity/detail/similar-figures_1
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
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
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
Properties of Reflections
I use this activity in the beginning of the school year when introducing terminology such as angles, lines, segments, measures, perpendicular etc. The original material is from the SIMMS Integrated Mathematics Using Technology, I have adapted the activities to fit my objectives. Students have be...https://education.ti.com/en/activity/detail/properties-of-reflections
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
Gambler's Fallacy: Longest Streaks
In this activity, students explore longest the streak for 7 tosses of a coin. They understand the relationship between relative frequency and Theoretical probability. They will be able to clear misconceptions about probabilities of streaks.https://education.ti.com/en/activity/detail/gamblers-fallacy-longest-streaks
Walking the Fence Line
In this activity, students use the Geoboard to determine the perimeter of polygons. They learn to picture square roots visually as the side length of a square.https://education.ti.com/en/activity/detail/walking-the-fence-line
Visualizing Vectors
In this activity, students use the CellSheet™ Application to graph vectors. They also learn to find the sum of two vectors.https://education.ti.com/en/activity/detail/visualizing-vectors
Angles Formed by Two Intersecting Lines
Students will investigate the properties of angles formed by intersecting lines. They examine the definition of adjacent angles, supplementary angles, and vertical angles and learn about two important geometric theorems dealing with vertical and supplementary angles.https://education.ti.com/en/activity/detail/angles-formed-by-two-intersecting-lines
The Tangent Ratio
In this activity students explore the tangent ratio. Students construct a right triangle using perpendicular lines, and a line that forms the hypotenuse of the triangle. When students construct the hypotenuse line it is very important that the second point that forms the line is not on the perpen...https://education.ti.com/en/activity/detail/the-tangent-ratio
Measure Up!
In this activity, students' create a plot showing the heights of some of their classmates. They determine the extreme values and the median for the height data and construct a box-and-whisker plot to summarize the height statistics.https://education.ti.com/en/activity/detail/measure-up
NUMB3RS - Season 2 - "Assassin" - The Escape Game
In "Assassin," Charlie is trying to figure out where a killer might strike given that he knows who the victim will be. By analyzing the movements of the would-be victim, Charlie models the decisions that the assassin will make. This is an example of behavioral game theory, where the motives of tw...https://education.ti.com/en/activity/detail/numb3rs--season-2--assassin--the-escape-game
Easy Programming of geometry formualas
Area, surface area, premiter, volume, you get the catch. All done so the student only has to input one or two numbers.https://education.ti.com/en/activity/detail/easy-programming-of-geometry--formualas
Similar Triangles and Proportions
In this activity, students will investigate the relationship among the similar triangles formed when a segment is constructed parallel to one side of a triangle. They will explore the various ratios that exist between the lengths of the sides of similar triangles.https://education.ti.com/en/activity/detail/similar-triangles-and-proportions
NUMB3RS - Season 3 - "Killer Chat" - Stylometry
In "Killer Chat," the FBI has obtained a collection of online chat dialogues from a suspected killer. Charlie proposes he use Statistical Linguistic Analysis to identify the author. The style and language can essentially fingerprint the writing. Stylometry, the practice of applying statistical an...https://education.ti.com/en/activity/detail/numb3rs--season-3--killer-chat--stylometry
Run me a Linear Regression
This activity is designed to give students the opportunity to estimate the least squares line given a set of points. The students are then able to check their "best fit" line by running a linear regression using the graphing calculator.https://education.ti.com/en/activity/detail/run-me-a-linear-regression
NUMB3RS - Season 3 - "Democracy" - No Desk Left Behind
In "Democracy", Charlie calculates the likelihood that five people who knew each other would have died by accident in a two-week period. He estimates that the odds of this are 700 million to 1. To estimate likelihood of an event, a simulation can be used. In this activity, students use a simulati...https://education.ti.com/en/activity/detail/numb3rs--season-3--democracy--no-desk-left-behind