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
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
Law of Large Numbers: A Weighty Decision
In this activity, students will explore the Law of Large Numbers. By examining unfair models, they will expand their understanding of probability. They predict the weighting of an unfair model by analyzing experimental data and distributions. They will also formulate and test a hypothesis on the ...https://education.ti.com/en/activity/detail/law-of-large-numbers-a-weighty-decision
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
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 - "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
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
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
Opposite Angles in a Cyclic Quadrilateral
This activity uses Cabri™ Jr. to discover that opposite angles in a cyclic quadrilateral are supplementaryhttps://education.ti.com/en/activity/detail/opposite-angles-in-a-cyclic-quadrilateral
F Distribution
Students study the characteristics of the F distribution and discuss why the distribution is not symmetric (skewed right) and only has positive values.https://education.ti.com/en/activity/detail/f-distribution
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
Does a Correlation Exist?
Students determine, by examining a graph, if a data set has a positive or negative correlation coefficient.https://education.ti.com/en/activity/detail/does-a-correlation-exist_1
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
How Far Am I Off?
Students calculate a confidence interval using the chi-square distribution to estimate a population variance.https://education.ti.com/en/activity/detail/how-far-am-i-off
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
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