The Flag Problem
Students explore the area of a triangle with the base being one of the legs of a right angled trapezoid, and an opposite vertex being a point on the other leg of the trapezoid.https://education.ti.com/en/activity/detail/the-flag-problem
The Geometric Mean
In this activity, students will establish that several triangles are similar and then determine that the altitude to the hypotenuse of a right triangle is the geometric mean between the segments into which it divides the hypotenuse.https://education.ti.com/en/activity/detail/the-geometric-mean_1
The Ladder Problem Revisited
In this activity students explore the locus of mid-point of the hypotenuse of a fixed length geometrically and algebraically and discover that the median a right triangle is equal to half the length of the hypotenuse. Students then prove this property. The problem: A ladder leans upright against ...https://education.ti.com/en/activity/detail/the-ladder-problem-revisited
The Pirate Problem
The classic geometry problem developed in 1947 by George Gamow comes alive with the interactive platform of TI-Nspire. Will the treasure still be found after the palm tree in the treasure map disappears? What begins with inductive reasoning ends with a formal proof. This lesson, easily adapte...https://education.ti.com/en/activity/detail/the-pirate-problem
The Pythagorean Theorem—and More
Students construct a triangle and find all angle and side measures. They practice dragging the vertices to form certain types of triangles, and then they confirm the Pythagorean Theorem for right triangles. Moreover, they discover the types of triangle that occur when c2 a2 + b2 or when c2 > a2 +...https://education.ti.com/en/activity/detail/the-pythagorean-theoremand-more
The Lunes of Hippocrates
In this activity, students will explore a figure that involves lunes - the area enclosed between arcs of intersecting circles. When lunes are constructed on the sides of a right triangle, an interesting result occurs.https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates_1
The Art Project
Students explore the locus of points in the interior of the right angle such that the sum of the distances to the sides of the angle is constant.https://education.ti.com/en/activity/detail/the-art-project
Solving for Sides in a Right Triangle
This activity was designed for the Grade 11 College Math course in the Ontario curriculum. Students are expected to solve problems, including those that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratio...https://education.ti.com/en/activity/detail/solving-for-sides-in-a-right-triangle
Supertall Skyscrapers
In this activity, students use their handhelds to measure scale drawings of famous “supertall” skyscrapers. They first check that the Sears Tower is drawn to scale and then use their measurements to calculate that scale. Next, they write and solve proportions to find the heights of other skyscrap...https://education.ti.com/en/activity/detail/supertall-skyscrapers
Lines of Fit
This lesson involves informally fitting a straight line for a given data set that represents mean verbal and mathematics scores on SAT in 2004 across all 50 states and Washington, D.C.https://education.ti.com/en/activity/detail/lines-of-fit
Flatland: The TI-Book
One of the best geometry books of all time is Flatland. Written over a century ago, there is no copyright for this book and you can find it available free as a podcast or a text file. However, nothing beats a TI-book with nicely produced diagrams.https://education.ti.com/en/activity/detail/flatland-the-tibook
Printing Your Own Books - is it more cost effective?
In this activity, students will create functions based on real-life scenarios, fill out a table of values, and critically analyze characteristics of graphs.https://education.ti.com/en/activity/detail/printing-books
Perpendicular Slopes
Students investigate the 'negative reciprocal' relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship. Optional geometric activities (problems 5 and 6 of the ....https://education.ti.com/en/activity/detail/perpendicular-slopes
Factoring Special Cases
Students explore geometric proofs for two factoring rules: a2 + 2ab + b2 = (a + b)2 and x2 – a2 = (x – a)(x + a). Given a set of shapes whose combined areas represent the left-hand expression, they manipulate them to create rectangles whose areas are equal to the right-hand expression.https://education.ti.com/en/activity/detail/factoring-special-cases_1
Inscribed Angles
Students use animation to discover that the measure of an inscribed angle is half the measure of its intercepted arc, that two angles that intercept the same, or congruent, arcs are congruent, and that an angle inscribed in a semi-circle is a right angle. They then discover that the opposite angl...https://education.ti.com/en/activity/detail/inscribed-angles_1
Algebra Nomograph
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...https://education.ti.com/en/activity/detail/algebra-nomograph
Similarity with Shadows
Students use the measurement of their height/shadows and similar triangles to find the height of tall objects.https://education.ti.com/en/activity/detail/similarity-with-shadows
Polythagoras
This activity explores (a) relationships among non-square regular polygons constructed on the sides of a right triangle and (b) visual and numerical proofs of the Pythagorean Theorem using rotations and non-square polygons.https://education.ti.com/en/activity/detail/polythagoras
Comparing Pi's and Roots
This lesson involves manipulating the radius of a circle and the sides of a right triangle in an attempt to set the circumference of the circle equal to the hypotenuse of the right trianglehttps://education.ti.com/en/activity/detail/comparing-pis-and-roots
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. Students then use the Fcdf command to find probabilities and to confirm percentiles. They move on to find critical values and then compute a conf...https://education.ti.com/en/activity/detail/f-distribution_1
But What Do You Mean?
In this activity, students learn about the concept of mean or average, in addition to learning several ways to find the mean on the TI-Nspire handheld (including using a spreadsheet and the mean command). Students also use these methods to find the mean when given the frequencies of each number i...https://education.ti.com/en/activity/detail/but-what-do-you-mean
The Classic Box Problem - Calculus
The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire to enact the problem in multiple representations: diagramatic, graphic, numeric, geometric, and symbolic. The problem is posed on the title screen shown at the right.https://education.ti.com/en/activity/detail/the-classic-box-problem--calculus
Normal Probability Plot
This lesson involves creating a normal probability plot for several data sets involving height to examine the appearance of such plots when the distribution is approximately normal.https://education.ti.com/en/activity/detail/normal-probability-plot
Catching the Rays
Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.https://education.ti.com/en/activity/detail/catching-the-rays
Modeling Daylight Hours
Students are provided with data on the daylight hours for two Canadian cities measured three times per month in 2007. The student's task is to create graphical and algebraic models of the data and to interpret the meaning of each of the parameters in the algebraic models. The student will also ...https://education.ti.com/en/activity/detail/modeling-daylight-hours