Exploring the Geometric Means of a Right Triangle - When the Altitude to the Hypotenuse Is Drawn
Students will explore the concept of geometric mean and solve right triangle problems using geometric mean proportions. A TI-Nspire activity demonstrates interactively the geometric mean relationship, and an activity sheet applies the relationship to solve triangle problem. Most discussions of g...https://education.ti.com/en/activity/detail/exploring-the-geometric-means-of-a-right-triangle--when-the-altitude-to-the-hypotenuse-is-drawn
Exploring Transformations
Investigate translating and reflecting shapes in the coordinate plane and observe how the new image is related to the original shape.https://education.ti.com/en/activity/detail/exploring-transformations
Volume- IB
Students define right and oblique three dimensional figures and calculate the volume for prisms, pyramids, cylinders, and cones.https://education.ti.com/en/activity/detail/volume_1
Angles of a Triangle
This activity explores the various relationships of the angles of a triangle. It starts with an interior angle and its corresponding exterior angle. Then the sum of the interior angles. Finally, the relationship between one exterior angle and its remote interior angles. The students are prov...https://education.ti.com/en/activity/detail/angles-of-a-triangle_2
Filling the Urn
Work with linked representations of the related rates of change of volume and height of fluid.https://education.ti.com/en/activity/detail/filling-the-urn
Area Formula Investigations
It's easy to just plug in the numbers without thinking, right? Even better, just use the calculator to find the area for you! Well, not today! Students will construct altitude and calculate the area of 5 geometric shapes using the measurement tools.https://education.ti.com/en/activity/detail/area-formula-investigations
Minimizing Surface Area of a Cylinder Given a Fixed Volume
Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume
Angles in Polygons
This is a self-contained activity that is designed to incorporate the TI-Nspire Navigator system which provides for a paperless activity that can be easily managed during and after the class period. Students will investigate the relationships of the interior and exterior angles in a polygon. T...https://education.ti.com/en/activity/detail/angles-in-polygons
Addition of Parts
This activity is a self-contained discussion of the topic of segment and angle addition and allows the teacher to focus on the flow of the class rather than explanation. Students will be able to work through this activity easily and reach usable conclusions on their own. Also, examples are prov...https://education.ti.com/en/activity/detail/addition-of-parts
Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)
This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale
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 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 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
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
Linear Equations, How Can I Tell?
This is a lesson to be used when introducing linear equations. The class is to determine parallel slopes, slope of the line, and slope- intercept form while investigating the graphs.https://education.ti.com/en/activity/detail/linear-equations-how-can-i-tell
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
Geyser Water Park
This activity deals with the slope-intercept (y=mx+b) formula. It is a good introductory lesson for using the formulas. It also includes setting up a chart and the students have to enter the data into the calculator and graph the results.https://education.ti.com/en/activity/detail/geyser-water-park
Glide Reflections
Explore using a translated figure to create a glide reflection.https://education.ti.com/en/activity/detail/glide-reflections
Quadratic Unit Activity #2: What's the Equation? Quadratic Functions
This is the second activity for the Quadratic Unit. This activity allows students to use sliders to match various quadratic functions in vertex form.https://education.ti.com/en/activity/detail/quadratic-unit-activity-2-whats-the-equation-quadratic-functions