Exploring Parallel Lines and Angles
Students will explore the relationships between pairs of angles formed when two parallel lines are cut by a transversal. They will identify special pairs of angles, measure all the angles formed by two parallel lines cut by a transversal, and then look for patterns among the measures.https://education.ti.com/en/activity/detail/exploring-parallel-lines-and-angles
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
Area of a Triangle Between Parallel Lines
This is an investigation of what happens to the area of a triangle when one vertex moves along a line parallel to the side opposite the vertex.https://education.ti.com/en/activity/detail/area-of-a-triangle-between-parallel-lines
Balancing Act
Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...https://education.ti.com/en/activity/detail/balancing-act
Constructing Regular Polygons - Angles of Rotational Symmetry
This activity is designed to be used with the Geometry textbook "Math Connections - 2B" p. 295: #4https://education.ti.com/en/activity/detail/constructing-regular-polygons--angles-of-rotational-symmetry
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
A Sprinkler System Activity for the TI-Nspire TouchPad
This lesson involves the student in constructing and then creating their own designs using circles to indicate water spray from sprinklers set to full, half, and quarter circle patterns. The students learn to appreciate the ART of Math in the designs created with the Nspire TouchPad. The students...https://education.ti.com/en/activity/detail/a-sprinkler-system-activity-for-the-tinspire-touchpad
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
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
Angle and Perpendicular Bisectors in a Triangle
The students will examine where the perpendicular bisectors and angle bisectors of a triangle intersect. The students will circumscribe a circle around the triangle and will inscribe a circle within the triangle. There is a page at the end of each activity with the circle constructed if the s...https://education.ti.com/en/activity/detail/angle-and-perpendicular-bisectors-in-a-triangle
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, 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
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
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
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
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