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
Hide and Seek on the Coordinate Plane
The activity is designed as an introduction to the activity center on TI-Navigator™. Prior to the activity students should have covered graphing points on the coordinate plane, adding, subtracting, multiplying and dividing integers, as well as absolute value and comparing and ordering integers.https://education.ti.com/en/activity/detail/hide-and-seek-on-the-coordinate-plane
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
Operations of Integers
This set of multiple choice questions asks students to find the intercepts and vertices of quadratic functions. Solutions are included.https://education.ti.com/en/activity/detail/operations-of-integers
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
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
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 - "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
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
Points on the Perpendicular Bisector of a Segment
In this activity, students use the drawing and measurement tools of Cabri™ Jr., to learn and understand the concept of "equidistant from the endpoints of a segment." They observe the changes if they move a point on the perpendicular bisector. NCTM Geometry Standard covered: Analyze characteristic...https://education.ti.com/en/activity/detail/points-on-the-perpendicular-bisector-of-a-segment
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
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
Which Trapezoids Are Special?
Cabri Jr. allows students to look at several kinds of trapezoids in order to see which ones are special. With this activity students can see that an isosceles trapezoid is a special one. In a parallel manner, students can see why a parallelogram can be considered a special trapezoid. This acti...https://education.ti.com/en/activity/detail/which-trapezoids-are-special
Working with Point Rotations in the Coordinate Plane
Using Cabri Jr. and the properties of rotations to get a true understanding of how a figure is rotated about a point.https://education.ti.com/en/activity/detail/working-with-point-rotations-in-the-coordinate-plane
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
The Euler Line and Its Ratios
In this activity, students will explore the Euler Line of a triangle. Students will discover that the centroid, circumcenter, and orthocenter are collinear. Students will also find that if the triangle is isosceles, then the centroid, circumcenter, incenter, and orthocenter are all collinear. Stu...https://education.ti.com/en/activity/detail/the-euler-line-and-its-ratios
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
Tangents from the same exterior point with CABRI JR.
Use Cabri™ Jr. to discover what happens when we have two tangents from the same exterior point. After students investigate with Cabri Jr. they have a questions and a flow-proof to complete.https://education.ti.com/en/activity/detail/tangents-from-the-same-exterior-point-with-cabri-jr
Taxicab Geometry
Students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab perpendicular bisect...https://education.ti.com/en/activity/detail/taxicab-geometry_1
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
Transforming "F" on the coordinate plane
Students move their cursor in activity center to occupy a unique point on a background letter "F" in quadrant 1. Students then together follow a rule for going to a different point (such as "use the opposite of the original x coordinate") and sketch the resulting transformation on their worksheet...https://education.ti.com/en/activity/detail/transforming-f-on-the-coordinate-plane
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
Reflecting a Triangle in the Coordinate Plane
In this activity, students use the drawing and measurement tools of Cabri™ Jr. to blend coordinate geometry with drawing tools. They visualize symmetry and reflect a point across the y-axis. NCTM Geometry Standards: Specify locations and describe spatial relationships using coordinate geometry a...https://education.ti.com/en/activity/detail/reflecting-a-triangle-in-the-coordinate-plane