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 - "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
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
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
Proof of the Pythagorean Theorem using Transformations
In this activity, students will explore visual proofs of the Pythagorean Theorem using area and transformations. They will use the Cabri™ Jr. app to perform translations on the squares constructed on the two legs and the hypotenuse of a right triangle to consolidate their understanding of the Pyt...https://education.ti.com/en/activity/detail/proof-of-the-pythagorean-theorem-using-transformations
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
Altitude, Median, and Angle Bisector of a Triangle
In this activity, you will construct special segments of a triangle named altitudes, medians, and angle bisectors, using their definitions. You will look at how an altitude, a median, and an angle bisector divide the area of a triangle.https://education.ti.com/en/activity/detail/altitude-median-and-angle-bisector-of-a-triangle
Angle Bisectors and Medians of Quadrilaterals
In this activity, students will construct angle bisectors and medians in quadrilaterals and explore the properties that appear to be true for four-sided figures. They may find it necessary to review the definitions and properties of special quadrilaterals in order to construct the figures.https://education.ti.com/en/activity/detail/angle-bisectors-and-medians-of-quadrilaterals
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
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
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
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
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!
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
Dynamic Geometry: Basic Constructions
Students use the Cabri™ Jr. application to draw triangles and construct perpendicular bisectors on the sides of a triangles. They study the properties of a triangle and understand how the measures of angles of a triangle is always 180 degrees.https://education.ti.com/en/activity/detail/dynamic-geometry-basic-constructions
Simple Constructions
In this skill activity, students will use the Constructions Tools Menu in Cabri™ Jr. to contruct a parallelogram. They will also construct an altitude, an angle bisector and a median of a triangle.https://education.ti.com/en/activity/detail/simple-constructions
NUMB3RS - Season 3 - "Hardball" - Is It for Real
In "Hardball," an amateur mathematician uncovers an equation that uses baseball statistics to identify which players are using performance enhancing substances. By analyzing player performance, he is able to determine when an athlete began using a performance enhancing substance. Students will us...https://education.ti.com/en/activity/detail/numb3rs--season-3--hardball--is-it-for-real
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
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices
To Replace or Not to Replace? That Is The Question
In this activity, students explore situations that involve compound events with and without replacement. They use different ways to conceptualize theoretical probability.https://education.ti.com/en/activity/detail/to-replace-or-not-to-replace-that-is-the-question
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