Critical Points and Local Extrema
Visualize the connections between the critical points and local extrema.https://education.ti.com/en/activity/detail/critical-points-and-local-extrema
Convergence of Taylor Series
A Taylor Series for a function becomes the function as the number of terms increases towards infinity.https://education.ti.com/en/activity/detail/convergence-of-taylor-series
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
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
Continuity and Differentiability 2
Explore piecewise graphs and determine conditions for continuity and differentiability.https://education.ti.com/en/activity/detail/continuity-and-differentiability-2
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
The sum of the interior angles of regular polygons
The students will construct triangles within regular-sided polygons to determine the sum of the interior angles. They will then, using statistics, create a linear regression to determine the relationship between the number of sides of a regular polygon and the sum of its interior angles.https://education.ti.com/en/activity/detail/the-sum-of-the-interior-angles-of-regular-polygons
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
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
Similar Figures - Using Ratios to Discover Properties
Students will explore similar triangles and set up ratios to discover properties of similar triangles.https://education.ti.com/en/activity/detail/similar-figures--using-ratios-to-discover-properties
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
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
Triangle Midsegment Exploration
The activity has the students investigate the relationship of the midsegment to the third side of the triangle. In addition the students investigate the area of the smaller triangles compared to the larger one and uses the results to solve the "campground" problem. There is a set of follow-up q...https://education.ti.com/en/activity/detail/triangle-midsegment-exploration
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
Perpendicular Bisector
In this activity, students will explore the perpendicular bisector theorem and discover that if a point is on the perpendicular bisector of a segment, then the point is equidistant from the endpoints. This is an introductory activity, where students will need to know how to change between pages, ...https://education.ti.com/en/activity/detail/perpendicular-bisector_1
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
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
3D Parametric
In this activity, students will review the concepts of parametric and polar equations. By using the 3D graphing capabilities of the TI-Nspire handheld, students will be able to extend these ideas to the area of solids of revolution, arc length and kinematics.https://education.ti.com/en/activity/detail/3d-parametric
Transformations: Reflections and Rotations
This activity is designed to be used in a middle-school or high-school geometry classroom. An understanding of labeling points in the coordinate plane is necessary. This is an exploration using reflections to move a polygon about the coordinate plane.https://education.ti.com/en/activity/detail/transformations--reflections-and-rotations
Transformations: Rotations
Explore clockwise and counterclockwise rotations to discover the properties of the pre-image and image of a triangle.https://education.ti.com/en/activity/detail/transformations-rotations
Transformations: Rotations
Explore clockwise and counterclockwise rotations to discover the properties of the pre-image and image of a triangle.https://education.ti.com/en/activity/detail/transformations-rotations_1
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
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
Perspective Drawings
In this activity, students will draw figures in one- and two-point perspective, comparing and contrasting the two types of drawings. They then create an isometric drawing and compare it to the other drawings.https://education.ti.com/en/activity/detail/perspective-drawings