Secrets in the Triangle
Students will use the geometry screens of the TI-Nspire™ to find points of concurrency by constructing the altitudes, perpendicular bisectors, and medians in triangles. The Euler Line will be found and extensions given.https://education.ti.com/en/activity/detail/secrets-in-the-triangle
Tessellations
Students will explore tessellations of triangles and quadrilaterals. They will use the transformation tools of symmetry, reflections, rotations, and/or translations.https://education.ti.com/en/activity/detail/tessellations_1
Continuity and Differentiability of Functions
Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.https://education.ti.com/en/activity/detail/continuity-and-differentiability-of-functions
Segments and Chords in a Circle
This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segment measures 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/segments-and-chords-in-a-circle
The Sprinkler and the Lawn
Students will apply the concepts of angle bisector, incenter of a triangle, and percentages to solve a real-world problem involving a circular sprinkler and a triangular-shaped lawn.https://education.ti.com/en/activity/detail/the-sprinkler-and-the-lawn
Shortest Distance
Students will discover, through exploration, that the shortest distance from a point on a line to the origin is a measure of a perpendicular line segment. You will investigate this minimization problem and support the analytical explanations with interactive explorations.https://education.ti.com/en/activity/detail/shortest-distance
Shortest Distances
Students will explore three situations involving distances between points and lines. First, the minimum distance between two points leads to the Triangle Inequality Theorem. Then, the shortest distance from a point to a line is investigated. Finally, students find the smallest total distan...https://education.ti.com/en/activity/detail/shortest-distances
Transformtions and Tessellations
In this activity you will construct a variety of transformations. In Problem #1 you will create a reflection of a pentagon, in Problem #2 a translation of a regular hexagon, in Problem #3 a rotation of a quadrilateral in two ways, in Problem #4 a dilation of a triangle. In each case you will ob...https://education.ti.com/en/activity/detail/transformtions-and-tessellations
Secant Angle Investigation
This activity will allow students to discover the relationship between the secant angle and the corresponding central angles.https://education.ti.com/en/activity/detail/secant-angle-investigation
Putting limits on Pi
This activity has the students calculate the perimeter of inscribed and circumscribed regular polygons about a circle and then use the calculated values to determine pi.https://education.ti.com/en/activity/detail/putting-limits-on-pi
Triangle Inequality Theorem
Given the measures of any three segments, will you always be able to make a triangle?https://education.ti.com/en/activity/detail/triangle-inequality-theorem
Proving Angles Congruent
In this activity students will be introduced to proofs, including 2-column proofs, paragraph proofs and flow-proofs. They will also look at different diagrams to decide what the diagram is telling them and what they can infere. They will also look at complementary, supplementary, adjacent and v...https://education.ti.com/en/activity/detail/proving-angles-congruent_1
Paths of Rectangles
This exploration for preservice teachers, looks at how the lengths of the sides of rectangles with equal areas are related. The rectangles are constructed so that one vertex is at the origin. The path of the opposite vertex is an example of indirect variation and demonstrates a connection between...https://education.ti.com/en/activity/detail/paths-of-rectangles
Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its derivative function.https://education.ti.com/en/activity/detail/derivative-grapher
Transformers
Students explore a special subset of the transformations of a square called the symmetry group.https://education.ti.com/en/activity/detail/transformers
Definite Integral
Make visual connections between the definite integral of a function and the signed area between the function and the x-axis.https://education.ti.com/en/activity/detail/definite-integral
The Tale of Two Tangents
This activity allows students to investigate the relationship between the angle formed by two tangents to a circle and the arcs they intercept.https://education.ti.com/en/activity/detail/the-tale-of-two-tangents
Derivatives of Trigonometric Functions
Students will use the graph of the sine function to estimate the graph of the cosine function. They will do this by inspecting the slope of a tangent to the graph of the sine function at several points and using this information to construct a scatter plot for the derivative of the sine. Students...https://education.ti.com/en/activity/detail/derivatives-of-trigonometric-functions
Average Value
Examine areas as integrals and as rectangles for given functions.https://education.ti.com/en/activity/detail/average-value
A Tale of Two Lines
Demonstrate a visual justification for l'Hôpital's Rule.https://education.ti.com/en/activity/detail/a-tale-of-two-lines
Transformational Puppet
This activity allows students to practice their skills of reflecting on a line and translating on a vector. The instructions don't ask for creativity but students who finish early can enjoy being creative with this activity.https://education.ti.com/en/activity/detail/transformational-puppet
Parallel Lines and Angles
Students will use TI-Nspire technology to investigate the relationships between two corresponding angles and between two alternate interior angles. At the end of this activity, students should be able to discover that if two parallel lines are cut by a transversal the pairs of corresponding angle...https://education.ti.com/en/activity/detail/parallel-lines-and-angles
Transformations: Translations
Investigate what a triangle will look like when it is translated horizontally or vertically.https://education.ti.com/en/activity/detail/transformations-translations
Parallel Lines and the Transversals that Cross Them!
Students will explore the relationships between angles formed by parallel lines crossed by transversals. While there are other activities that may address similar topics, the questions presented to students in this activity bring a fresh perspective to student discovery.https://education.ti.com/en/activity/detail/parallel-lines-and-the-transversals-that-cross-them
Dog Run
This activity allows students to investigate the maximum area of a rectangle with a fixed perimeter.https://education.ti.com/en/activity/detail/dog-run