Law of Large Numbers: Adding It Up
In this activity, students examine the relationship between relative frequency and theoretical probability to understand the Law of Large Numbers. They will explore the concept of independent events. They will also discern the difference between relative and cumulative frequencies.https://education.ti.com/en/activity/detail/law-of-large-numbers-adding-it-up
On Your Mark, Get Set, React
This session will demonstrate a novel approach to reaction time experiments done in junior science and mathematics courses. Participants will use a Calculator-Based Ranger (CBR™) and a TI-83+ to record their reaction times. A statistical extension will be presented for use in mathematics classes....https://education.ti.com/en/activity/detail/on-your-mark-get-set-react
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 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
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
Plinko - Frequency Plots and Experimental Probability
In this activity, students simulate the Plinko game from the TV show "The Price Is Right", then use Navigator to share their results for the class. A frequency plot of class results is constructed, and conjectures made as to the experimental probability of winning the big money in this game. Th...https://education.ti.com/en/activity/detail/plinko--frequency-plots-and-experimental-probability
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
Geometric Series
Students will explore infinite geometric sequences and the partial sums of geometric series. The students will determine the limits of these sequences and series using tables and graphs.https://education.ti.com/en/activity/detail/geometric-series_1
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 Inequality
In this activity the students will use Cabri Jr. to investigate the Triangle Inequality Theorm and make conjectures about their findings.https://education.ti.com/en/activity/detail/triangle-inequality
Triangle Inequality Theorem
In this activity, students will explore the concepts underlying the Triangle Inequality Theorem by comparing side lengths and angle measures of a triangle. They will use an interactive construction to see why this theorem is true.https://education.ti.com/en/activity/detail/triangle-inequality-theorem_1
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
NUMB3RS - Season 3 - "Hardball" - Is It for Real
In "Hardball," an amateur mathematician uncovers an equation that uses baseball statistics to identify which players are using performance enhancing substances. By analyzing player performance, he is able to determine when an athlete began using a performance enhancing substance. Students will us...https://education.ti.com/en/activity/detail/numb3rs--season-3--hardball--is-it-for-real
Evaluating the Products of Chords of a Circle
In this activity, the students will investigate if two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.https://education.ti.com/en/activity/detail/evaluating-the-products-of-chords-of-a-circle
NUMB3RS - Season 2 - "Mind Games" - Walkabout
In "Mind Games," Charlie uses the Fokker-Planck equation to predict the movement of illegal immigrants. The equation is used to predict the likely movement of something under the influence of external forces. It was originally developed to study Brownian motion, the apparently random movement of ...https://education.ti.com/en/activity/detail/numb3rs--season-2--mind-games--walkabout
Candy Pieces
Students use a chi-square test for goodness-of-fit to determine if there is a significant difference between the proportions they find in the sample, and the proportions they would expect if the manufacturer produced equal proportions of each color.https://education.ti.com/en/activity/detail/candy-pieces
Finding the Maximum Product
In this activity, students use the CellSheet™ Application to organize data. They solve a problem of finding two positive integers equal to or greater than zero with a given sum and the maximum product.https://education.ti.com/en/activity/detail/finding-the-maximum-product
Fractions Number Line
A number line showing equivalent fractions.https://education.ti.com/en/activity/detail/fractions-number-line
Equations of Circles
In this activity, students will explore the relationship among the location of the center of the circle, the radius of a circle, and the equation of a circle in a plane. They will also investigate the relationship between the points inside, on, and outside a circle, and the equation of the circle.https://education.ti.com/en/activity/detail/equations-of-circles_1
Isosceles Triangle
In this activity, students construct isosceles and equilateral triangles. They discover that if two sides of a triangle are congruent, then the angles opposite them are congruent. They understand that an equilateral triangle is also equiangular.https://education.ti.com/en/activity/detail/isosceles-triangle
Exploring the Equation of a Circle
Use Cabri® Jr to connect a circle's equation to its location on a coordinate grid and the size of its radiushttps://education.ti.com/en/activity/detail/exploring-the-equation-of-a-circle_1
Got the sum of remote interior angles equal to the measure of the exterior angle? with Cabri Jr.
Draw a triangle with exterior angle. Measure the exterior angle and each remote interior angle. Use the Alpha hand to check that the sum of the remote interior angles is always equal to the exterior angle.https://education.ti.com/en/activity/detail/got-the-sum-of-remote-interior-angles-equal-to-the-measure-of-the-exterior-angle---with-cabri-jr