Shortest Distance Between Points and Lines
This activity investigates concepts such as the shortest distance between two points in a plane, and the shortest distance between a line and a point not on the line. The analytical explanation of these concepts is supported with visual illustrations.https://education.ti.com/en/activity/detail/shortest-distance-between-points-and-lines
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 Discovery Activity
Students will use Cabri Jr. to discover two properties of similar triangles: corresponding angles are congruent and corresponding sides are proportional.https://education.ti.com/en/activity/detail/similar-figures-discovery-activity
Perimeter of a Rectangel with Fixed Area
Students will investigate the relationship between the base of a rectangle with area of 35 or 36 and its perimeter.https://education.ti.com/en/activity/detail/perimeter-of-a-rectangel-with-fixed-area
Perimeters, Areas, and Slopes - Oh, My!
Students create geometric figures, and use analytic and coordinate geometry to investigate their attributes. They go through the process of proving that a quadrilateral is a parallelogram.https://education.ti.com/en/activity/detail/perimeters-areas-and-slopes--oh-my
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
How Random!
...imulate an experiment by representing single coin flips with random numbers. Next, they use a given formula to simulate multiple coin flips at once, allowing them to perform a large number of trials easily. Lastly, they create a histogram of their data, observing that the data clusters around the...https://education.ti.com/en/activity/detail/how-random_1
Perpendicular Bisector Theorem
This activity uses distance measures to investigate the relationship between a point in the plane and the distance to the endpoints of a segment. Students will investigate the implication these relationships have for the position of the point in the plane.https://education.ti.com/en/activity/detail/perpendicular-bisector-theorem
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
Parallel Lines Cut By A Transversal
In this activity, students learn and increase their knowledge about the angles formed when parallel lines are cut by a transversal. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric re...https://education.ti.com/en/activity/detail/parallel-lines-cut-by-a-transversal_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 - "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
Follow the Golden Rule - TI-83
Students find ratios and calculate measures of central tendency for sets of data. They understand the concept of the Golden Ratio. They use box-and-whisker plots to analyze data.https://education.ti.com/en/activity/detail/follow-the-golden-rule--ti83
Financial Mathematics
We at COMAP have a free download course in financial mathematics, with emphisis on personal finance, for upper high school and undergraduate college. The course includes extensive code for the TI83/84. To see the course, go to COMAP.com, register, and COMAP will e-mail your a password. An art...https://education.ti.com/en/activity/detail/financial-mathematics
Properties of Parallelograms
In this activity, students go through the process of proving a quadrilateral to be a parallelogram. They understand the various characteristics of a parallelogram.https://education.ti.com/en/activity/detail/properties-of-parallelograms_5
Properties of Parallelograms
Students will use Cabri Jr. to construct a parallelogram. They discover three properties of parallelograms in this activity: opposite sides are congruent, opposites angles are congruent, and diagonals bisect each other.https://education.ti.com/en/activity/detail/properties-of-parallelograms_6
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
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
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
Properties of Parallel Lines Cut by a Transversal
In this activity, students create parallel lines and a transversal, and study the properties of the lines and their angles.https://education.ti.com/en/activity/detail/properties-of-parallel-lines-cut-by-a-transversal
What Quadrilateral Is It?
Students will algebraically determine what type of quadrilateral that is pictured in the activity center.https://education.ti.com/en/activity/detail/what-quadrilateral-is-it