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
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
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
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
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
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 Quadrilaterals
The students will investigate the properties of a parallelogram, rhombus, rectangle, square, kite, trapezoid, and isosceles trapezoid by using the measurement tools of the TI-Npsire. The students will record their results on the chart. The time for the activity will vary based on the ability of...https://education.ti.com/en/activity/detail/properties-of-quadrilaterals
Integration By Substitution
Students explore methods for computing integrals of functions that are not in one of the standard forms.https://education.ti.com/en/activity/detail/integration-by-substitution_1
Proportional Segments
The purpose of this activity is to investigate the relationship between segments formed by drawing a line parallel to one side of a triangle or by drwing and angle bisector of one the angles.https://education.ti.com/en/activity/detail/proportional-segments
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
Properties of Parallelograms
In this activity, students will discover the properties of a parallelogram. Students will measure various components of a parallelogram to make conjectures about its properties.https://education.ti.com/en/activity/detail/properties-of-parallelograms
Exploring Midpoints
This is a quick activity to help students see the relationship of the midpoint of a segment.https://education.ti.com/en/activity/detail/exploring-midpoints
Exploring Midsegments of a Triangle
Students will discover the relationships between a midsegment of a triangle and its third side.https://education.ti.com/en/activity/detail/exploring-midsegments-of-a-triangle
Exploring Parallel Lines and Angles
Students will explore the relationships between pairs of angles formed when two parallel lines are cut by a transversal. They will identify special pairs of angles, measure all the angles formed by two parallel lines cut by a transversal, and then look for patterns among the measures.https://education.ti.com/en/activity/detail/exploring-parallel-lines-and-angles
Can I Make a Triangle?
This TI-Nspire activity is for the Triangle Inequality Theorem. There are 3 problems that contain 3 segments each. The student tries to make triangles with these segments. They compare the lengths of the shortest to the length of the longest to see if the inequality is true or false. For the...https://education.ti.com/en/activity/detail/can-i-make-a-triangle
Cell Phone Towers
In this activity students explore the locus of a point that is located twice as far from a given point A as it is from given point B. The locus is Apollonius circle. Students discover that the locus is a circle and then prove it. The key property: If a ray bisects an angle of a triangle, then it ...https://education.ti.com/en/activity/detail/cell-phone-towers
Area of a Triangle Between Parallel Lines
This is an investigation of what happens to the area of a triangle when one vertex moves along a line parallel to the side opposite the vertex.https://education.ti.com/en/activity/detail/area-of-a-triangle-between-parallel-lines
Balancing Act
Students will explore the centriod of a triangle. They will discover that it is the center of gravity. They will balance a cardboard triangle on the end of a pencil. Then they will construct the medians with folds and pencil. After students have seen that the center of gravity is the point ...https://education.ti.com/en/activity/detail/balancing-act
Extrema
Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.https://education.ti.com/en/activity/detail/extrema
Angle-Side-Side Exploration
Does knowing two sides and a non-included angle of a triangle guarantee it is a unique triangle? This activity will allow students to discover the answer by moving a point on a triangle to determine if another triangle given the same sides and non-included angle is possible.https://education.ti.com/en/activity/detail/anglesideside-exploration
Minimizing Surface Area of a Cylinder Given a Fixed Volume
Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume
Angles in Polygons
This is a self-contained activity that is designed to incorporate the TI-Nspire Navigator system which provides for a paperless activity that can be easily managed during and after the class period. Students will investigate the relationships of the interior and exterior angles in a polygon. T...https://education.ti.com/en/activity/detail/angles-in-polygons
A Sprinkler System Activity for the TI-Nspire TouchPad
This lesson involves the student in constructing and then creating their own designs using circles to indicate water spray from sprinklers set to full, half, and quarter circle patterns. The students learn to appreciate the ART of Math in the designs created with the Nspire TouchPad. The students...https://education.ti.com/en/activity/detail/a-sprinkler-system-activity-for-the-tinspire-touchpad