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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

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 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

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

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

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

Making Hay While the Sun Shines & Not Losing It in the Rain (The Geometry of the Big Round Bale)

This activity explores the volume of the hay bale and the percent of loss as the radius of the bale decreases. The extension collects data from the constructed cylinder in a spreadsheet and graphs it. The graphs are modeled with quadratic functions and transformations of quadratic functions can...
https://education.ti.com/en/activity/detail/making-hay-while-the-sun-shines--not-losing-it-in-the-rain--the-geometry-of-the-big-round-bale

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

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

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

Dinner Party

Students investigate the total cost of a private party at three restaurants and then model the cost of a party at each restaurant with the graph of a linear function.
https://education.ti.com/en/activity/detail/dinner-party_1

Printing Your Own Books - is it more cost effective?

In this activity, students will create functions based on real-life scenarios, fill out a table of values, and critically analyze characteristics of graphs.
https://education.ti.com/en/activity/detail/printing-books

Dog Days or Dog Years?

Students use ordered pairs, table of values, and a scatter plot to determine a function that represents real world data.
https://education.ti.com/en/activity/detail/dog-days-or-dog-years

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

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