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 Radian Sector
In this activity, students will explore properties of sectors. Students will derive the formula for the arc length of a sector and the area of a sector.https://education.ti.com/en/activity/detail/the-radian-sector
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
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
Side Length, Perimeter, and Area of a Rectangle
Explore the effects of changing base (or height) of a rectangle on it's perimeter and area.https://education.ti.com/en/activity/detail/side-length-perimeter-and-area-of-a-rectangle
Side-Side-Angle: The Ambiguous Case
Experiment with segment lengths and angle measures.https://education.ti.com/en/activity/detail/sidesideangle-the-ambiguous-case
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
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
Patterns in Area - Impact of Changes in Length and Width
Students will explore what happens to the area of a rectangle if you double the length and width.https://education.ti.com/en/activity/detail/patterns-in-area--impact-of-changes-in-length-and-width
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
Average Value
Examine areas as integrals and as rectangles for given functions.https://education.ti.com/en/activity/detail/average-value
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
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
Elevator: Height and Velocity
Introduce ideas related to rectilinear motion.https://education.ti.com/en/activity/detail/elevator-height-and-velocity
Area Function Problems
Understand the relationship between the area under a derivative curve and the antiderivative function.https://education.ti.com/en/activity/detail/area-function-problems
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
"Picking" Your Way Through Area Problems
Students will discover Pick's Theorem by finding the relationship between area and the number of boundary points and interior points of a lattice polygon.https://education.ti.com/en/activity/detail/picking-your-way-through-area-problems
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
Applications of Critical Points
Students will examine the relationship between critical points and local extrema through real-world examples. Students will zoom in on the critical points to see if the curve becomes linear to determine if the function is differentiable at the critical point. They will then discover that the sign...https://education.ti.com/en/activity/detail/applications-of-critical-points