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
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
Fitting an Equation to Bivariate Data
In this activity, students fit a linear least-square regression line to a population data. They explore various functions to model the given data.https://education.ti.com/en/activity/detail/fitting-an-equation-to-bivariate-data
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
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
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
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
Trig Ratios - Exploring Sine, Cosine and Tangent
Using the Cabri Jr. App and the 83+/84+ calculators, student will explore and calculate the various trig ratios. This is an easy construction that and allow plenty of time of exploration and completion of the worksheet questions in class.https://education.ti.com/en/activity/detail/trig-ratios--exploring-sine-cosine-and-tangent
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 of a Triangle
In this activity, students investigate the sum of the measures of the interior angles of a triangle. They will explore interior angles, and their relationship with the exterior angles of a triangle.https://education.ti.com/en/activity/detail/angles-of-a-triangle_1
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
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