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
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
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
Exponential Growth Experiment
Students will work in pairs and will conduct a growth experiment. They will record their answers for 7 to 10 trials. They will make a scatterplot of their data and share their graphs with the class.https://education.ti.com/en/activity/detail/exponential-growth-experiment
Estimating and Finding Confidence Intervals
In this activity, students estimate statistical measures and find confidence intervals.https://education.ti.com/en/activity/detail/estimating-and-finding-confidence-intervals
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
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
Get on the Stick
Students use a CBR 2™ to measure the reaction time of catching a stick. They also learn how to interpret a box plot and make a five number summary of a single variable data set.https://education.ti.com/en/activity/detail/get-on-the-stick
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
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
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
Plotting a Normal Curve
This activity introduces students to the graph of the normal curve and the affect of changing the standard deviation on the shape of the graph. Students, with the aid of their TI calculators and TI-Navigator system, each find ten random numbers from a normal distribution whose mean is 12 and whos...https://education.ti.com/en/activity/detail/plotting-a-normal-curve
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
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
Angles Formed By Parallel Lines
Students will use Cabri Jr. to construct parallel lines and transversals. They will make conjectures about the angles that are formed.https://education.ti.com/en/activity/detail/angles-formed-by-parallel-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
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