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
The Pythagorean Theorem And Classifying Triangles
Students will use the converse of the Pythagorean Theorem to predict a triangle's classification. The Cabri Jr. App on the TI-83+/84+ family will be used to create triangles and find their measurements.https://education.ti.com/en/activity/detail/the-pythagorean-theorem-and-classifying-triangles
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
Transforming "F" on the coordinate plane
Students move their cursor in activity center to occupy a unique point on a background letter "F" in quadrant 1. Students then together follow a rule for going to a different point (such as "use the opposite of the original x coordinate") and sketch the resulting transformation on their worksheet...https://education.ti.com/en/activity/detail/transforming-f-on-the-coordinate-plane
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
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
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
The Tangent Ratio
In this activity students explore the tangent ratio. Students construct a right triangle using perpendicular lines, and a line that forms the hypotenuse of the triangle. When students construct the hypotenuse line it is very important that the second point that forms the line is not on the perpen...https://education.ti.com/en/activity/detail/the-tangent-ratio
Transformation
In this activity, students study different types of transformations.https://education.ti.com/en/activity/detail/transformation
Nevada's Population
Students examine patterns and use these patterns to try to predict different aspects of an event. They study the statistical patterns for the population of the state of Nevada over a period of hundred years, and predict the population in the year 2010. Students learn to graph scatter plots, graph...https://education.ti.com/en/activity/detail/nevadas-population
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
Does Your Euler Line "Wiggle"?
The students will construct an Euler line and demonstrate it is an Euler line by "wiggling" the triangle to guarantee the correct centers remain on the line.https://education.ti.com/en/activity/detail/does-your-euler-line-wiggle
NUMB3RS - Season 2 - "Better or Worse" - Creating Random Numbers
Random numbers are used every day in many different ways. Banks use random numbers to make codes to send information over the internet; lotteries use random numbers to choose winners; computer games use random numbers to determine what will happen next. Depending on their use, it may be important...https://education.ti.com/en/activity/detail/numb3rs--season-2--better-or-worse--creating-random-numbers
Special Midpoint Quadrilaterals
Midpoint Quadrilaterals are quadrilaterals that are formed when consecutive midpoints of a quadrilateral are connected. This activity will use Cabri® Jr. to investigate what properties an exterior quadrilateral has if its midpoint quarilateral has some special properties of its own.https://education.ti.com/en/activity/detail/special-midpoint-quadrilaterals
Explore Parallel and Perpendicular Lines
Students will use a graphing calculator to explore graphs of parallel and perpendicular lines. Students will find that parallel lines have the same slope and different y-intercepts and that the slopes of two perpendicular lines are opposite reciprocals of each other. This Technology Lab accompa...https://education.ti.com/en/activity/detail/explore-parallel-and-perpendicular-lines
NUMB3RS - Season 2 - "Double Down" - A Bit of Basic Blackjack
In "Double Down," three students are tied up in a money-laundering scheme involving money won in the card game blackjack. In this activity, we discuss a simplified version of blackjack and analyze the probability of winning in various situations. Because cards are drawn from the deck and not re...https://education.ti.com/en/activity/detail/numb3rs--season-2--double-down--a-bit-of-basic-blackjack
NUMB3RS - Season 3 - "Killer Chat" - Stylometry
In "Killer Chat," the FBI has obtained a collection of online chat dialogues from a suspected killer. Charlie proposes he use Statistical Linguistic Analysis to identify the author. The style and language can essentially fingerprint the writing. Stylometry, the practice of applying statistical an...https://education.ti.com/en/activity/detail/numb3rs--season-3--killer-chat--stylometry
To Replace or Not to Replace? That Is The Question
In this activity, students explore situations that involve compound events with and without replacement. They use different ways to conceptualize theoretical probability.https://education.ti.com/en/activity/detail/to-replace-or-not-to-replace-that-is-the-question
What's Normal, Anyway?
Students explore normal distribution and several properties. First, simulate a binomial experiment and use a histogram of the data to examine the general shape of a normal curve. They graph a normal distribution given the mean and standard deviation. They see how the graph changes when just the m...https://education.ti.com/en/activity/detail/whats-normal-anyway_1
NUMB3RS - Season 3 - "Contenders" - Dialing Ben
In "Contenders," David's friend, Ben Ellis, is a suspect of two murders. The FBI can not find Ben when he stops using his cell phone. Charlie explains that Ben may be using a friend's cell phone and might be identified by his unique calling pattern, so he compares the cell phone records of Ben an...https://education.ti.com/en/activity/detail/numb3rs--season-3--contenders--dialing-ben
Means With Confidence
Students estimate the true mean of a population when the standard deviation is known by finding the sample mean, margin of error and confidence interval.https://education.ti.com/en/activity/detail/means-with-confidence
Testing Goodness-of-Fit and Two-Way Table Chi-Square
Students perform chi-square tests to see if data follows a hypothesized distribution. They also study the two-way table analysis.https://education.ti.com/en/activity/detail/testing-goodnessoffit-and-twoway-table-chisquare
What! A Mistake!
Students learn about Type I and Type II errors. Then, for a given scenario, they calculate the probabilities of errors and the power of the test.https://education.ti.com/en/activity/detail/what-a-mistake
NUMB3RS - Season 2 - "The O.G." - Is It Really Rare?
Suppose that historically, a shooting has occurred in Los Angeles an average of once every 6 hours. Suppose that Charlie is interested in the probability of 2 shootings occurring in a given 24-hour period. He could use a Poisson distribution to find that probability.https://education.ti.com/en/activity/detail/numb3rs--season-2--the-o-g---is-it-really-rare
NUMB3RS - Season 2 - "Soft Target" - Are You Sure?
In "Soft Target," Charlie uses Linear Discriminant Analysis (LDA), a multiple regression method, to predict the next terrorist attack. This method, like many others used to predict events, may use a tree diagram to visualize possibilities. The use of tree diagrams is seen in probability.https://education.ti.com/en/activity/detail/numb3rs--season-2--soft-target--are-you-sure