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Forensics Case 12 - Hit and Run: Using information from an event data recorder to reconstruct an ac

Students learn how distance traveled, velocity, and acceleration are related to one another and how the appearance of an acceleration, velocity, or distance vs. time graph can be used to predict the appearance of the other graphs. They show how accident scenes can be recreated through an analysis...
https://education.ti.com/en/activity/detail/forensics-case-12--hit-and-run-using-information-from-an-event-data-recorder-to-reconstruct-an-ac

Exploring the Area Under a Curve

Students explore Riemann sums to find the approximate area under the graph of a parabola on the interval [0, 1].
https://education.ti.com/en/activity/detail/exploring-the-area-under-a-curve

Interesting Properties of Cubic Functions

This Computer Algebra System (CAS) activity encourages students to investigate numerical and graphical properties of cubic functions, and to verify the results using CAS.
https://education.ti.com/en/activity/detail/interesting-properties-of-cubic-functions

Optimization - IB

In this activity, students will learn how to use the second derivative test to find maxima and minima in word problems and solve optimization in functions and parametric functions.
https://education.ti.com/en/activity/detail/optimization_84_ib

Exponential Reflections

In this activity, you will investigate the inverse of an exponential function. You will also investigate the symmetry of the exponential function and its inverse.
https://education.ti.com/en/activity/detail/exponential-reflections_1

Change Of Base

Discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.
https://education.ti.com/en/activity/detail/change-of-base

Change Of Base

In this activity, students discover the change of base rule for logarithms by examining the ratio of two logarithmic functions with different bases.
https://education.ti.com/en/activity/detail/change-of-base

The Sprinkler and the Lawn

Students will apply the concepts of angle bisector, incenter of a triangle, and percentages to solve a real-world problem involving a circular sprinkler and a triangular-shaped lawn.
https://education.ti.com/en/activity/detail/the-sprinkler-and-the-lawn

Concavity

Examine the relationship between the first and second derivative and shape of a function.
https://education.ti.com/en/activity/detail/concavity

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

Derivative Function

Transition from thinking of the derivative at a point to thinking of the derivative as a function.
https://education.ti.com/en/activity/detail/derivative-function

Patterns in Area - Impact of Changes in Length and Width

Students will explore what happens to the area of a rectangle if you double the length and width.
https://education.ti.com/en/activity/detail/patterns-in-area--impact-of-changes-in-length-and-width

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

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

Diagonal Classification

This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown quadrilateral constructed with a given diagonal property. By dragging the vertices of the quadrilateral, students conjecture as to the names of the quadrilaterals that can be constru...
https://education.ti.com/en/activity/detail/diagonal-classification

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 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

Area of a Triangle Between Parallel Lines

This is an investigation of what happens to the area of a triangle when one vertex moves along a line parallel to the side opposite the vertex.
https://education.ti.com/en/activity/detail/area-of-a-triangle-between-parallel-lines

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

Applications of Similar Figures

Students will identify corresponding parts of figures and use the definition of similar figures to solve real-world applications involving rectangles and triangles.
https://education.ti.com/en/activity/detail/applications-of-similar-figures

Are all Constructions Created Equal?

This activity is designed to give preservice teachers an introduction to the circle, compass and line tools in the Graphs & Geometry application of the TI-NSpire. The set of four investigations are designed to provide them with ideas on how to assess geometric constructions by identifying the dif...
https://education.ti.com/en/activity/detail/are-all-constructions-created-equal

A Sprinkler System Activity for the TI-Nspire TouchPad

This lesson involves the student in constructing and then creating their own designs using circles to indicate water spray from sprinklers set to full, half, and quarter circle patterns. The students learn to appreciate the ART of Math in the designs created with the Nspire TouchPad. The students...
https://education.ti.com/en/activity/detail/a-sprinkler-system-activity-for-the-tinspire-touchpad