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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

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

Average Value

Examine areas as integrals and as rectangles for given functions.
https://education.ti.com/en/activity/detail/average-value

A Tale of Two Lines

Demonstrate a visual justification for l'Hôpital's Rule.
https://education.ti.com/en/activity/detail/a-tale-of-two-lines

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: Reflections

Explore what a reflection does to an object.
https://education.ti.com/en/activity/detail/transformations-reflections

Elevator: Height and Velocity

Introduce ideas related to rectilinear motion.
https://education.ti.com/en/activity/detail/elevator-height-and-velocity

Transformations: Translations

Investigate what a triangle will look like when it is translated horizontally or vertically.
https://education.ti.com/en/activity/detail/transformations-translations

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

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

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

Creating Perpendicular Bisectors

Construct the perpendicular bisector of a line segment in several different ways and consider the role of circles in the construction.
https://education.ti.com/en/activity/detail/creating-perpendicular-bisectors

Cyclic Quadrilaterals

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

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

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

Integration By Parts

Students investigate the product rule of differentiation and integration by parts.
https://education.ti.com/en/activity/detail/integration-by-parts_1

Inflection Points

Students investigate points of inflection on a function and its first and second derivatives, and discover how they relate to each other.
https://education.ti.com/en/activity/detail/inflection-points

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

Infestation to Extermination

Students investigate exponential growth and decay through the situation of infestation and extermination.
https://education.ti.com/en/activity/detail/infestation-to-extermination_1

Implicit Differentiation

Students find the derivative of a relation, F(x,y), that is not solved for y.
https://education.ti.com/en/activity/detail/implicit-differentiation_4

Points, Lines, and Planes

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

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

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