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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

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

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

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

"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

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

Cyclic Quadrilaterals

Explore the relationship between chords of a circle and their perpendicular bisectors.
https://education.ti.com/en/activity/detail/cyclic-quadrilaterals

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

Diameter and Circumference Relationship

A short activity that helps to demonstrate the relationship between diameter and circumference.
https://education.ti.com/en/activity/detail/diameter-and-circumference-relationship

Points, Lines, and Distance

Investigate the distance between two points, a point and a line, and two lines.
https://education.ti.com/en/activity/detail/points-lines-and-distance

Points, Lines, and Planes

Explore the relationships between points, lines, and planes.
https://education.ti.com/en/activity/detail/points-lines-and-planes

Exploring Diameter and Circumference

Explore the relationship between the diameter and circumference of a circle.
https://education.ti.com/en/activity/detail/exploring-diameter-and-circumference

Limits

Students will investigate finding the value of limits using graphical and numerical methods. Students will also learn that a limit can exist at points where there is a hole or removable discontinuity. The concept of left and right-sided limits will also be explored as well as some situations in w...
https://education.ti.com/en/activity/detail/limits

Polygons - Diagonals

Students will investigate the number of diagonals in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the number of diagonals of the polygons. Some prior familiarity with constructing segments and basic functions of the TI-Nsp...
https://education.ti.com/en/activity/detail/polygons--diagonals

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

Exploring Special Right Triangles

...ag the vertex of the triangle and collect sample data. After they collect the data it is used on a calculator page to to explore the relationship between the side oppsite the 30 degree angle and the hypotenuse and the side opposite the 60 degree angle and the hypotenuse. Questions are then prese...
https://education.ti.com/en/activity/detail/exploring-special-right-triangles

Exploring the Geometric Means of a Right Triangle - When the Altitude to the Hypotenuse Is Drawn

Students will explore the concept of geometric mean and solve right triangle problems using geometric mean proportions. A TI-Nspire activity demonstrates interactively the geometric mean relationship, and an activity sheet applies the relationship to solve triangle problem. Most discussions of g...
https://education.ti.com/en/activity/detail/exploring-the-geometric-means-of-a-right-triangle--when-the-altitude-to-the-hypotenuse-is-drawn

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

Inverse Derivative

Visualize the reciprocal relationship between the derivative of a function and the derivative of its inverse.
https://education.ti.com/en/activity/detail/inverse-derivative

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

Corresponding Parts of Similar Triangles

Change the scale factor (r) between similar triangles; identify the corresponding parts and establish relationships between them.
https://education.ti.com/en/activity/detail/corresponding-parts-of-similar-triangles

Chords of a Circle

Explore the relationship between chords of a circle and their perpendicular bisectors.
https://education.ti.com/en/activity/detail/chords-of-a-circle

Angles of a Triangle

This activity explores the various relationships of the angles of a triangle. It starts with an interior angle and its corresponding exterior angle. Then the sum of the interior angles. Finally, the relationship between one exterior angle and its remote interior angles. The students are prov...
https://education.ti.com/en/activity/detail/angles-of-a-triangle_2