Polar Coordinates - 84
This lesson involves a brief introduction to the polar coordinate system.https://education.ti.com/en/activity/detail/polar-coordinates_84
The Radian Sector
In this activity, students will explore properties of sectors. Students will derive the formula for the arc length of a sector and the area of a sector.https://education.ti.com/en/activity/detail/the-radian-sector
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
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
Proving the Pythagorean Theorem - President Garfield's Proof
This is the same proof that is found on the TI-Exchange website for the 84 plus, but I modified it for the Nspire handhelds.https://education.ti.com/en/activity/detail/proving-the-pythagorean-theorem--president-garfields-proof
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
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
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
Transformations: Reflections and Rotations
This activity is designed to be used in a middle-school or high-school geometry classroom. An understanding of labeling points in the coordinate plane is necessary. This is an exploration using reflections to move a polygon about the coordinate plane.https://education.ti.com/en/activity/detail/transformations--reflections-and-rotations
Elevator: Height and Velocity
Introduce ideas related to rectilinear motion.https://education.ti.com/en/activity/detail/elevator-height-and-velocity
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
Equations of a Circle
In this activity, the students can be partnered up and will discover how the equation of a circle changes when you move the circle around the coordinate plane.https://education.ti.com/en/activity/detail/equations-of-a-circle
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 Parts
Students investigate the product rule of differentiation and integration by parts.https://education.ti.com/en/activity/detail/integration-by-parts_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
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
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
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
Volume- IB
Students define right and oblique three dimensional figures and calculate the volume for prisms, pyramids, cylinders, and cones.https://education.ti.com/en/activity/detail/volume_1
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
Limits of Functions
Investigate limits of functions at a point numerically.https://education.ti.com/en/activity/detail/limits-of-functions
First Derivative Test
Visualize the connections between the first derivative of a function, critical points, and local extrema.https://education.ti.com/en/activity/detail/first-derivative-test
Exponential Functions and the Natural Logarithm
Discover a surprising property involving the relative growth rate of an exponential function.https://education.ti.com/en/activity/detail/exponential-functions-and-the-natural-logarithm