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
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 Magic of Central Angles
This activity allows students to investigate the relationship between central angles and the arcs they intercept.https://education.ti.com/en/activity/detail/the-magic-of-central-angles
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
Ratios of Similar Figures
Students explore the ratio of perimeter, area, surface area, and volume of similar figures in two and three dimensional figures.https://education.ti.com/en/activity/detail/ratios-of-similar-figures_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
Supplements and Complements
The attached files contain a supplementary angle and complementary angle for students to explore. They are asked which point changes the measure of the angle. They can move various parts of the construction. The files are designed to be used with your current instructional materials.https://education.ti.com/en/activity/detail/supplements-and-complements
Taxicab Geometry
In this activity, students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab pe...https://education.ti.com/en/activity/detail/taxicab-geometry
Secants and Angles in a Circle
This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles formed by secants drawn from a common external point outside a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.https://education.ti.com/en/activity/detail/secants-and-angles-in-a-circle
Sine. It's the Law.
Students will investigate the ratio of the sine of an angle to the length of the opposite side.https://education.ti.com/en/activity/detail/sine--its-the-law_1
SSA Ambiguity
This activity allows students to investigate the reason for the ambiguity in the SSA case.https://education.ti.com/en/activity/detail/ssa-ambiguity
Secants and Segments in a Circle
This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segments formed by two secants drawn from a common external point to a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.https://education.ti.com/en/activity/detail/secants-and-segments-in-a-circle
Secants, Tangents, And Angle Measures
This activity is intended to be used as an interactive tool to help students learn about the relationships between the the angles and arcs formed with intersecting secant and tangent lines.https://education.ti.com/en/activity/detail/secants-tangents-and-angle-measures
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
Special Segments in Triangles
In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...https://education.ti.com/en/activity/detail/special-segments-in-triangles_1
Rhombi, Kites, and Trapezoids
Students discover properties of the diagonals of rhombi and kites, and the properties of angles in rhombi, kites, and trapezoids.https://education.ti.com/en/activity/detail/rhombi-kites-and-trapezoids_1
Sailing Away
In this activity, students will explore AAA and SSS relationships in triangles to support understanding of the concepts of triangle similarity and congruence.https://education.ti.com/en/activity/detail/sailing-away