Midsegments of Triangles
Students explore the properties of the midsegment, a segment that connects the midpoints of two sides of a triangle.https://education.ti.com/en/activity/detail/midsegments-of-triangles
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
Inference for Correlation and Regression
In this activity, students test if a significant relationship exists between a bivariate data set, and then calculate the confidence and predictive intervals. They also improve the interval-prediction capabilities by automating the process.https://education.ti.com/en/activity/detail/inference-for-correlation-and-regression
Independence is the Word
Students use a simulation to find the experimental probability of independent events.https://education.ti.com/en/activity/detail/independence-is-the-word_1
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
One- and Two-Variable Statistics--Review
Students review one-variable topics such as graphing quantitative variables, calculating measures of central tendency and spread, and making comparisons.https://education.ti.com/en/activity/detail/one-and-twovariable-statisticsreview
Similar Figures
In this activity, students investigate the properties of similar triangles.https://education.ti.com/en/activity/detail/similar-figures_1
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
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
Perimeter of a Rectangel with Fixed Area
Students will investigate the relationship between the base of a rectangle with area of 35 or 36 and its perimeter.https://education.ti.com/en/activity/detail/perimeter-of-a-rectangel-with-fixed-area
Perimeters, Areas, and Slopes - Oh, My!
Students create geometric figures, and use analytic and coordinate geometry to investigate their attributes. They go through the process of proving that a quadrilateral is a parallelogram.https://education.ti.com/en/activity/detail/perimeters-areas-and-slopes--oh-my
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
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
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
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
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
In this activity, students go through the process of proving a quadrilateral to be a parallelogram. They understand the various characteristics of a parallelogram.https://education.ti.com/en/activity/detail/properties-of-parallelograms_5
Properties of the Centers of a Triangle
Students investigate the sum of the measures of the interior angles of a triangle. This activity explores interior angles, and their relationship with the exterior angles of a triangle.https://education.ti.com/en/activity/detail/properties-of-the-centers-of-a-triangle
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