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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

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

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

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

Limits of Functions

Investigate limits of functions at a point numerically.
https://education.ti.com/en/activity/detail/limits-of-functions

Extrema

Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.
https://education.ti.com/en/activity/detail/extrema

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

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

Mystery Quadrilateral!

This activity could be used as an assessment after a unit on special quadrilaterals. Students are given an unknown mystery quadrilateral that looks like a square. By dragging the vertices of the mystery quadrilateral, students conjecture the true name of the quadrilateral. Students support their ...
https://education.ti.com/en/activity/detail/mystery-quadrilateral

The Pirate Problem

The classic geometry problem developed in 1947 by George Gamow comes alive with the interactive platform of TI-Nspire. Will the treasure still be found after the palm tree in the treasure map disappears? What begins with inductive reasoning ends with a formal proof. This lesson, easily adapte...
https://education.ti.com/en/activity/detail/the-pirate-problem

Solving for Sides in a Right Triangle

This activity was designed for the Grade 11 College Math course in the Ontario curriculum. Students are expected to solve problems, including those that arise from real-world applications, by determining the measures of the sides and angles of right triangles using the primary trigonometric ratio...
https://education.ti.com/en/activity/detail/solving-for-sides-in-a-right-triangle

Growing Patterns

This lesson involves using pattern growth to construct functions.
https://education.ti.com/en/activity/detail/growing-patterns

Quadratic Unit Activity #1: Graphing a Parabola

This is the first activity in a series on vertex form of a quadratic for algebra I. This introduces the 'squaring' function.
https://education.ti.com/en/activity/detail/quadratic-unit-activity-1-graphing-a-parabola

Quadratic Unit Activity #2: What's the Equation? Quadratic Functions

This is the second activity for the Quadratic Unit. This activity allows students to use sliders to match various quadratic functions in vertex form.
https://education.ti.com/en/activity/detail/quadratic-unit-activity-2-whats-the-equation-quadratic-functions

Quadratic Unit Activity #7: Angry Birds

All the files in this unit are steps to the final activity-Angry Birds. Students are to find the values for a, b, and c in the vertex form of a quadratic function.
https://education.ti.com/en/activity/detail/quadratic-unit-activity-7-angry-birds

Domain and Range of Exponential Functions

Determine the domain and range of an exponential function f(x) = bx.
https://education.ti.com/en/activity/detail/domain-and-range-of-exponential-functions

Exploring Transformations

Explore transformations of an absolute value function.
https://education.ti.com/en/activity/detail/exploring-transformations

Perpendicular Slopes

Students investigate the 'negative reciprocal' relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship. Optional geometric activities (problems 5 and 6 of the ....
https://education.ti.com/en/activity/detail/perpendicular-slopes

Applications of Equations

Students will apply equations to a real-world problem about the number of people attending a museum. They will study the parts of an equation that represents the situation. Then, students will use a dynamic model to find the solution to the equation and interpret what the result means in the real...
https://education.ti.com/en/activity/detail/applications-of-equations

Back In Time?

Students will explore the definition of a function through use of a graph, a set of ordered pairs, and an input-output diagram.
https://education.ti.com/en/activity/detail/back-in-time_1

Interior Angles of Polygons

In the following activity, students discover the rule for finding the number of total degrees in the angles of a polygon. Students will use both the TI-Nspire and student worksheet to find the rule and will apply it in predictions.
https://education.ti.com/en/activity/detail/interior-angles-of-polygons_1

Trains in Motion

Compare and contrast the motion of two objects and how it corresponds to distance as a function of time.
https://education.ti.com/en/activity/detail/trains-in-motion_1