Is an equilateral triangle a special case of isosceles?
The definition of isosceles triangle can determine whether an equilateral triangle is a special case of an isosceles triangle. Using the Cabri Jr. application, students can get a feel for which definition makes the most sense. Along the way, they get experience with a perpendicular bisector, me...https://education.ti.com/en/activity/detail/is-an-equilateral-triangle-a-special-case-of-isosceles
Is a square a special case of rectangle?
The definition of square can determine whether it is a special case of a rectangle. Using the Cabri Jr. application, students can get a feel for why its definition makes sense. Along the way, they get experience with perpendiculars, parallels, measuring lengths, and an informal look at the inte...https://education.ti.com/en/activity/detail/is-a-square-a-special-case-of-rectangle
Perimeter and Area of a Square
Students study the perimeter and area of a square, and explore the relationship between them and the length of the side of the square.https://education.ti.com/en/activity/detail/perimeter-and-area-of-a-square
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 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 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
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
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
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
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
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
Angles of a Triangle
In this activity, students will measure angles and investigate the relationships between interior and exterior angles of a triangle. They understand the definition of interior angles, exterior angles, adjacent angles, supplementary angles, and remote interior angles.https://education.ti.com/en/activity/detail/angles-of-a-triangle
Angles in a Polygon
Students will expore the interior and exterior angle of 3 polygons and develop the formula to calculate the sum of degrees without the measurement of the angles being taken.https://education.ti.com/en/activity/detail/angles-in-a-polygon
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
Angles Formed by Two Intersecting Lines
Students will investigate the properties of angles formed by intersecting lines. They examine the definition of adjacent angles, supplementary angles, and vertical angles and learn about two important geometric theorems dealing with vertical and supplementary angles.https://education.ti.com/en/activity/detail/angles-formed-by-two-intersecting-lines
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
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
Triangle Congruence with Activity Center
When the activity is started in Navigator, students receive a diagram on their calculators with 6 regions representing the possible answers to a triangle congruence problem. The teacher displays a pair of triangles on the overhead projector or whiteboard and students move their cursor to the regi...https://education.ti.com/en/activity/detail/triangle-congruence-with-activity-center
Triangle Inequalities
In this activity, students will discover the Triangle Inequality Theorem and explore the possible lengths of the third side of a triangle given the other two side lengths. Students will also classify the type of triangle as acute, obtuse, or right using the Pythagorean inequalities.https://education.ti.com/en/activity/detail/triangle-inequalities_1
Triangle Inequalities
This activity will help students visualize the properties of triangles stated in the theorems. By dragging the vertices, the students can see that the properties hold regardless of the size of the triangles and which sides are the longest or shortest.https://education.ti.com/en/activity/detail/triangle-inequalities_2
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