Cell Phone Towers
In this activity students explore the locus of a point that is located twice as far from a given point A as it is from given point B. The locus is Apollonius circle. Students discover that the locus is a circle and then prove it. The key property: If a ray bisects an angle of a triangle, then it ...https://education.ti.com/en/activity/detail/cell-phone-towers
Building 3-D Initials with a Vanishing Point
Students will use a vanishing point for a one point perspective drawing of an initial of their choice.https://education.ti.com/en/activity/detail/building-3d-initials-with-a-vanishing-point
Construction of the Lute of Pythagoras to investigate polynomials
The student will construct the Lute of Pythagoras and investigate the many geometric shapes created.https://education.ti.com/en/activity/detail/construction-of-the-lute-of-pythagoras-to-investigate-polynomials
Angle-Side-Side Exploration
Does knowing two sides and a non-included angle of a triangle guarantee it is a unique triangle? This activity will allow students to discover the answer by moving a point on a triangle to determine if another triangle given the same sides and non-included angle is possible.https://education.ti.com/en/activity/detail/anglesideside-exploration
Exterior Angle Sum Theorem
This activity illustrates the exterior angle sum theorem by taking regular polygons with an exterior angle constructed, one at each vertex, and pulling all the vertices together to show that all exterior angles form a circle.https://education.ti.com/en/activity/detail/exterior-angle-sum-theorem
Congruent Triangles - Conditions that Prove Congruency
Students will investigate what conditions are necessary to prove two triangles are congruent.https://education.ti.com/en/activity/detail/congruent-triangles--conditions-that-prove-congruency
Approximating Pi -- Archimedes method
Students will be assigned different regular polygons to construct. They will then construct a circumscribed circle, measure diameter, circumference and perimeter. The measurements will be placed into a spreadsheet and the ratios of circumference/diameter and perimeter/diameter will be calculated.https://education.ti.com/en/activity/detail/approximating-pi--archimedes-method
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
Maximizing a Paper Cone's Volume
The net for a conical paper cup is formed by cutting a sector from a circular piece of paper. What sector angle creates a net that maximizes the cone's volume? In this activity students will build concrete models, measure the dimensions and calculate the volume. Next, students will use a const...https://education.ti.com/en/activity/detail/maximizing-a-paper-cones-volume
Altitudes of Triangles
Students investigate the intersection of the altitudes of a triangle.https://education.ti.com/en/activity/detail/altitudes-of-triangles
Mystery Quadrilateral!
This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown mystery quadrilateral that looks like a square. By dragging the vertices of the mystery quadrilateral, students conjecture the true name of the quadrilateral. Students support their ...https://education.ti.com/en/activity/detail/mystery-quadrilateral
Angles & Chords in a Circle
This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles formed by intersecting chords in a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.https://education.ti.com/en/activity/detail/angles--chords-in-a-circle
Triangle: Side Lengths and Angle Measures
The main purpose of this activity is to allow students to use TI-Nspire or TI-Nspire CAS to explore and decide which sides and angles of a triangle are the smallest and which are the largest.https://education.ti.com/en/activity/detail/triangle-side-lengths-and-angle-measures
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 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 Lunes of Hippocrates
In this activity the students discover a property of this historical figure.https://education.ti.com/en/activity/detail/the-lunes-of-hippocrates
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
Reflections in Motion
Students will use reflected images of triangles to observe similarities retained under vertical and horizontal stretching and shrinking transformations.https://education.ti.com/en/activity/detail/reflections-in-motion
Square Root Spiral and Function Graphs
In this activity, students will investigate the spiral formed by square roots of consecutive numbers, numerical approximations for square roots, the plot of the square root spiral arm lengths, and the graph of the square root function.https://education.ti.com/en/activity/detail/square-root-spiral-and-function-graphs
Soap Warehouse: The Shortest Distance Between Stores
In this investigation we are going to determine the best place to build a warehouse so that it can service three stores with the least amount of travel.https://education.ti.com/en/activity/detail/soap-warehouse-the-shortest-distance-between-stores
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