Average Value
Examine areas as integrals and as rectangles for given functions.https://education.ti.com/en/activity/detail/average-value
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
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
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
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
Discovering the Circumcenter and Centroid of a Triangle
The students will find the circumcenter by constructing perpendicular bisectors of the sides of a triangle. They will also find the centroid by constructing the medians of a triangle and discover that the centroid is 2/3 of the distance from each vertex along each median.https://education.ti.com/en/activity/detail/discovering-the-circumcenter-and-centroid-of-a-triangle
Points of Concurrency in Triangles
In this activity, students will use their Nspire handhelds to discover the different points of concurrencies in triangles. The students will take advantage of the dynamic capabilities to discover the circumcenter, incenter, and centroid of triangles.https://education.ti.com/en/activity/detail/points-of-concurrency-in-triangles
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
Exploring Limits of a Sequence
Perform numerical investigations of the limits of sequences and sum of a series.https://education.ti.com/en/activity/detail/limit-of-a-sequence
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
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
Calculator City
Students help Calculator City determine where to place the statue of Mr. Tex Instruments by finding the circumcenter and incenter of a triangle.https://education.ti.com/en/activity/detail/calculator-city
Balancing Point
In this activity, students will explore the median and the centroid of a triangle. Students will discover that the medians of a triangle are concurrent. The point of concurrency is the centroid. Students should discover that the center of mass and the centroid are the same for a triangle.https://education.ti.com/en/activity/detail/balancing-point
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
The Hinge Theorems
Students will explore the inequality relationships that arise when some of the triangle congruence conditions are in place but others are not. The SAS Inequality Theorem and the SSS Inequality Theorem are often referred to as the Hinge Theorem and its converse. These two theorems concern inequali...https://education.ti.com/en/activity/detail/the-hinge-theorems_1
Special Segments in Triangles
In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...https://education.ti.com/en/activity/detail/special-segments-in-triangles_1
Sailing Away
In this activity, students will explore AAA and SSS relationships in triangles to support understanding of the concepts of triangle similarity and congruence.https://education.ti.com/en/activity/detail/sailing-away
Exploring Vertical Asymptotes
Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.https://education.ti.com/en/activity/detail/exploring-vertical-asymptotes
Balancing Equations
This lesson involves understanding what it means for an equation to be balanced in the process of solving linear equations with one variable.https://education.ti.com/en/activity/detail/balancing-equations
Long Run
This lesson involves investigating simulations used to observe long-run relative frequencies.https://education.ti.com/en/activity/detail/long-run