Perpendicular Segments in a Circle
Students learn about chords of a circle. They draw a line perpendicular to the chord and passing through the center of the circle. They explore the lengths of the two segments of the chord. They investigate with a different chord and with different sized circles. NCTM Geometry Standard covered: A...https://education.ti.com/en/activity/detail/perpendicular-segments-in-a-circle
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 - "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
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 Quadrilaterals
This activity focuses on the properties of special quadrilaterals.https://education.ti.com/en/activity/detail/properties-of-quadrilaterals_2
Properties of Reflections
I use this activity in the beginning of the school year when introducing terminology such as angles, lines, segments, measures, perpendicular etc. The original material is from the SIMMS Integrated Mathematics Using Technology, I have adapted the activities to fit my objectives. Students have be...https://education.ti.com/en/activity/detail/properties-of-reflections
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
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
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
Angles in Circles
The student will use the Cabri Jr. APP to discover the relationship between inscribed and central angles in a circle.https://education.ti.com/en/activity/detail/angles-in-circles
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 - "Longshot" - Expected Value
In "Longshot", a man is murdered after the horse he bet on won a race. A notebook filled with horse racing data and equations is found on the victim. Charlie finds that the equations were designed to pick the second place finisher. He explains that the racetrack uses a pari-mutuel betting system,...https://education.ti.com/en/activity/detail/numb3rs--season-3--longshot--expected-value
Angles Formed by Intersecting Chords, Secants, and Tangents
In this activity, students will investigate properties of angles and arcs formed when chords, secants, and tangents intersect and intercept arcs in a circle. They discover several important theorems concerning circles and arc sizes. They make use of the Central Angle theorem, which ensures that t...https://education.ti.com/en/activity/detail/angles-formed-by-intersecting-chords-secants-and-tangents
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
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
Relationship of Angles to the Circle
In this activity, students recognize the relationship of angles to its circles. They study the Inscribed Angle Theorem and its corollaries.https://education.ti.com/en/activity/detail/relationship-of-angles-to-the-circle
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
Ryan's Puppy Problem
This problem can be used in Geometry of Algebra. Ryan desires to build a rectangluar fence to keep his puppy in. What shape should he use if he has 8 meters of fencing?https://education.ti.com/en/activity/detail/ryans-puppy-problem
REAL LIFE REAL WORLD - Avalanche Rescue
When hikers and skiers go into terrain with a risk of avalanches, they take safety equipment including avalanche rescue beacons. An avalanche rescue beacon sends and receives electromagnetic field signals that travel in circular patterns. The search pattern used to locate a beacon buried in the...https://education.ti.com/en/activity/detail/real-life-real-world--avalanche-rescue
REAL LIFE REAL WORLD Activity - Carpentry
Carpenters use applications of geometry in their work, including the properties of right triangles and circles. This activity uses Cabri Jr. Geometry software to make measurements and solve problems based on carpentry situations.https://education.ti.com/en/activity/detail/real-life-real-world-activity--carpentry
NUMB3RS - Season 2 - "Assassin" - The Escape Game
In "Assassin," Charlie is trying to figure out where a killer might strike given that he knows who the victim will be. By analyzing the movements of the would-be victim, Charlie models the decisions that the assassin will make. This is an example of behavioral game theory, where the motives of tw...https://education.ti.com/en/activity/detail/numb3rs--season-2--assassin--the-escape-game
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
Drawing a Line Tangent to a Circle
Students use the drawing and measurement tools of Cabri™ Jr. to draw a line tangent to a circle. NCTM Geometry Standard covered: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships.https://education.ti.com/en/activity/detail/drawing-a-line-tangent-to-a-circle