Triangle Sides & Angles
Students will explore side and angle relationships in a triangle. First, students will discover where the longest (and shortest) side is located relative to the largest (and smallest) angle. Then, students will explore the Isosceles Triangle Theorem and its converse. Finally, students will determ...https://education.ti.com/en/activity/detail/triangle-sides--angles
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
Regular Polygons - Angle Measurements
Students will investigate the number of degrees in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the sum of the measures of the degrees of the polygons.https://education.ti.com/en/activity/detail/regular-polygons--angle-measurements
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
Special Angles formed by Parallel Lines
This activity will help students see the relationship among the angles formed by two parallel lines and the transversal cuts through the lines.https://education.ti.com/en/activity/detail/special-angles-formed-by-parallel-lines
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
Mystery Point!
Students will discover the nature of the 'Mystery Point' in a triangle. The Mystery Point is a triangle center, constructed through algebraic and vector means, so students can not "un-hide" the construction to discover the center. The students will have to test various center constructions to dis...https://education.ti.com/en/activity/detail/mystery-point
Finding the Minimal Path to Put Out a Fire
A camper (at position A) must quickly put out a campfire (at position B). The river is represented by the horizontal line segment CD passing through point P. Where should point P be positioned on the river so that the camper will travel the shortest (minimal) path from point A, to the river at po...https://education.ti.com/en/activity/detail/finding-the-minimal-path-to-put-out-a-fire
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
Any 2 Points Make A Line
Students will use the TI-nspire to plot 2 points then draw the line through them. Students will find coordinates, calculate slope for diagonal , vertical and horizontal lines, then verify results using menu choices on their handheld. This activity has a student worksheet that questions students a...https://education.ti.com/en/activity/detail/any-2-points-make-a-line
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
Back In Time?
Students will explore the definition of a function through use of a graph, a set of ordered pairs, and an input-output diagram.https://education.ti.com/en/activity/detail/back-in-time_1
Visualizing Integers
Understand the additive inverse property through simple integer equalities.https://education.ti.com/en/activity/detail/visualizing-integers
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
Transformations of Functions 2
Investigate vertical stretches and reflections through the x-axis of a function.https://education.ti.com/en/activity/detail/transformations-of-functions-2