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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

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 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

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

Transformers

Students explore a special subset of the transformations of a square called the symmetry group.
https://education.ti.com/en/activity/detail/transformers

Transformations With Lists

Students use list operations to perform reflections, rotations, translations and dilations on a figure, and graph the resulting image using a scatter plot.
https://education.ti.com/en/activity/detail/transformations-with-lists_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: 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 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

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

Properties of Parallelograms

Students will manipulate parallelograms to discover the relationships between the sides, angles, and diagonals of parallelograms.
https://education.ti.com/en/activity/detail/properties-of-parallelograms_7

Equations of Circles

This activity will enable the student to discover BOTH equations of a circle. The Nspire activity will show three different interactive circles: the first with only the radius able to be manipulated, the second with only the center and the third with both. While the student works with both the ...
https://education.ti.com/en/activity/detail/equations-of-circles

Animating 3D Graphs With TI Nspire CAS (CX)

Demonstrates how to animate 3D graphs using your TI Nspire.
https://education.ti.com/en/activity/detail/animating-3d-graphs-with-ti-nspire-cas-cx

Properties of Trapezoids and Kites

Students investigate the properties of trapezoids, isosceles trapezoids, and kites by measuring sides and angles in the figures and by constructing and measuring the diagonals of the figures. By dragging vertices of each figure, they can make and test conjectures by seeing which properties hold t...
https://education.ti.com/en/activity/detail/properties-of-trapezoids-and-kites

Exploring Circle Equations

Students explore the equation of a circle. They will make the connection with the coordinates of the center of the circle and length of the radius to the corresponding parts of the equation. Then, students apply what they have learned to find the equation of the circles in several circular designs.
https://education.ti.com/en/activity/detail/exploring-circle-equations_1

Polygons & Angles: Looking for Patterns

This activity explores the relationships of various polygons and their angles. This is a discovery lesson and leads students through data and asks them to make conjectures about the angles of a triangle, quadrilateral, and pentagon. This lesson explores interior angles, exterior angles, and as...
https://education.ti.com/en/activity/detail/polygons--angles--looking-for-patterns

Exploring the Black Box of Quadrilaterals

The exploration will begin with students dragging the quadrilateral given to them about the screen. Initially, they will be asked to simply identify the quadrilateral's type by sight. This will require simply a visual recognition of the quadrilaterals parallelogram, rectangle, square, rhombus, ...
https://education.ti.com/en/activity/detail/exploring-the-black-box-of-quadrilaterals

Possible Lengths of Sides of Triangles

The first problem in this activity has students explore the varying length of the third side of a triangle when 2 sides are given. They will discover that the length of the third side must be between the difference and the sum of the other 2 sides. The second problem extends this idea of the le...
https://education.ti.com/en/activity/detail/possible-lengths-of-sides-of-triangles

Properties of Parallel Lines

This activity is designed to incorporate the TI-Nspire Navigator system to provide a paperless activity. Students will investigate the relationships formed when two parallel lines are cut by a transversal. They will make observations from angle measurements. This is a great activity for beginn...
https://education.ti.com/en/activity/detail/properties-of-parallel-lines