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
Circles - Angles and Arcs
In this TI-84 family activity, students explore angles constructed in a circle and how their measures are related to the measures of the intercepted arcs.https://education.ti.com/en/activity/detail/angles-and-arcs
ASA Triangle Congruence
1.Construct an triangle and select two angles and the contained side to copy to a second triangle. 2.Measure sides and angles to visualize congruence properties 3.Try to alter the properties of their construction by moving the vertices of the original trianglehttps://education.ti.com/en/activity/detail/asa-triangle-congruence
The Pythagorean Theorem
Students will construct figures that prove the Pythagorean Theorem in two different ways.https://education.ti.com/en/activity/detail/the-pythagorean-theorem
Constructing Regular Polygons
Constructing regular polygonshttps://education.ti.com/en/activity/detail/constructing-regular-polygons
The Discovery of Pi
The Discovery of Pi With Cabri Jr., and hands on materials Students will measure the diameter and circumference of various round objects and compare them to determine pi. They will then perform this acivity again utilizing the Cabri Jr. App on the TI 84 Calculator.https://education.ti.com/en/activity/detail/the-discovery-of-pi
Constructing Similar Triangles
Students investigate three different methods of constructing similar triangles.https://education.ti.com/en/activity/detail/constructing-similar-triangles_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
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
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
Perpendicular Bisector of a Line Segment
Students learn to draw a segment and its perpendicular bisector. They understand right angles and congruent segments. Students observe that changing the length or orientation of the segment changes the perpendicular bisector. NCTM Geometry Standard covered: Analyze characteristics and properties ...https://education.ti.com/en/activity/detail/perpendicular-bisector-of-a-line-segment
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