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
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
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
Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its derivative function.https://education.ti.com/en/activity/detail/derivative-grapher
Triangle Midsegments
Investigate the relationships between a triangle and the similar triangle formed by one of the triangle's midsegments.https://education.ti.com/en/activity/detail/triangle-midsegments
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
"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
Exploring Cavalieri's Principle
Students will explore Cavalieri's Principle for cross sectional area and volume.https://education.ti.com/en/activity/detail/exploring-cavalieris-principle_1
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 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
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
Positive and Negative Angles and Arcs
Investigate the relationships among the angles of intersection of the two lines and the intercepted arcs using positive and negative angle and arc measures.https://education.ti.com/en/activity/detail/positive-and-negative-angles-and-arcs
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
Triangle Sum Theorem
Investigate the special relationship of the angles of a triangle.https://education.ti.com/en/activity/detail/triangle-sum-theorem
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
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