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
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