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An Application of Parabolas

Students discover how the parameters of an equation of a parabola affect its graph and affect a real-world problem.
https://education.ti.com/en/activity/detail/an-application-of-parabolas

Around the Vertex in 80 Days

Students move a quadratic function in the coordinate plane to specific points to observe how the vertex form of the equation changes.
https://education.ti.com/en/activity/detail/around-the-vertex-in-80-days

Count the Differences

Students are given data, asked to find the finite differences, and then use this to find a polynomial that models the data.
https://education.ti.com/en/activity/detail/count-the-differences_1

Constant of Variation

Students explore how the constant of variation, k, affects the graph of direct and inverse variations.
https://education.ti.com/en/activity/detail/constant-of-variation

Limacon Curve

In this activity, students will observe different graphs of polar limaçon curves. Students will discover four different types of limaçon curves and their relationship to the ratio of a to b.
https://education.ti.com/en/activity/detail/limacon-curve

Limacon Curve - 84

In this activity for the TI-84 family, students will observe different graphs of polar limaçon curves. Students will discover four different types of limaçon curves and their relationship to the ratio of a to b.
https://education.ti.com/en/activity/detail/limacon-curve-@-84

Investigating the Derivatives of Some Common Functions

In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points using the table capabilities of the graphing handheld.
https://education.ti.com/en/activity/detail/investigating-the-derivatives-of-some-common-functions_nspire

Exploring Motion in the Plane

In this activity,  students will use a TNS file for visualizing the velocity and acceleration vectors at specific times associated with a particle as it moves along a curve. 
https://education.ti.com/en/activity/detail/exploring-motion-in-the-plane

Graphing Relationships

In this activity, students will examine the graphs of functions along with their derivatives and look for relationships that exist.
https://education.ti.com/en/activity/detail/graphing-relationships_nspire

Summing Up Geometric Series

In this activity, students will explore infinite geometric series and the partial sums of geometric series. The students will determine the limits of these sequences and series using tables and graphs.
https://education.ti.com/en/activity/detail/summing-up-geometric-series

A Linear Picture

Students will use lines to create a picture.
https://education.ti.com/en/activity/detail/a-linear-picture

All On The Line

Students enter points into a spreadsheet and graph equations to help solve linear systems.
https://education.ti.com/en/activity/detail/all-on-the-line

One Step at a Time

Students solve one-step equations involving addition and multiplication by substituting possible values of a variable.
https://education.ti.com/en/activity/detail/one-step-at-a-time

Testing for Truth

Students identify whether points lie within a shaded region that is bounded by linear inequalities.
https://education.ti.com/en/activity/detail/testing-for-truth

Tri This!

Students investigate linear equations that form a triangle and determine which vertex is a solution to a system of equations.
https://education.ti.com/en/activity/detail/tri-this_1

Working Hard or Hardly Working?

Students analyze univariate and bivariate data. Questions are posed for discussion, further research, and algebraic problem solving.
https://education.ti.com/en/activity/detail/working-hard-or-hardly-working_1

Zeros of a Quadratic Function Application

Students use quadratic functions to find the width of a deck surrounding a rectangular pool.
https://education.ti.com/en/activity/detail/zeros-of-a-quadratic-function-application

Bewildered Babies

Students test the limits of the combinations formula by applying it to a labeling situation. After making charts and using logic to list possible label arrangements, students compare their results with the output of the combinations formula and nCr command.
https://education.ti.com/en/activity/detail/bewildered-babies_1

The Triangular Box Problem (and Extension)

Student will discover the relationship between the height of a box with a triangular base and its volume and student will find the height that will produce the maximum volume of the open-topped box.
https://education.ti.com/en/activity/detail/the-triangular-box-problem-and-extension

Application of Slopes

Students will apply the concept of slope to a real-world problem about building a staircase. They will use the slope ratio, vertical change over horizontal change, to find the slope of staircase. Then, students will recognize how a positive or negative slope applies in a real-world situation.
https://education.ti.com/en/activity/detail/application-of-slopes

Beat the System

This can be used as an introduction to Systems of Equations. Students can work in groups or alone. They are shown graphs of the three different types of systems of equations and then asked to write equations of lines to create another set of systems.
https://education.ti.com/en/activity/detail/beat-the-system

Quadratic Yoga: Transforming Quadratic Functions

Students will use the vertex form of a quadratic function to fit a graph to a given scatter plot. They will also graph functions given a transformation description.
https://education.ti.com/en/activity/detail/quadratic-yoga-transforming-quadratic-functions

Slopes with Starburst

Students will use Starburst to conduct an experiment that analyzes slope. The data will be entered into TI-Nspire and evaluated. Students explore concepts such as flat/steeper slopes and constant versus varied slope. Students also simulate distance versus time graphs using meter sticks and hot...
https://education.ti.com/en/activity/detail/slopes-with-starburst

Vertex form of a Parabola

Students will use graphing technology to understand a quadratic function written in vertex form.
https://education.ti.com/en/activity/detail/taks-vertex-form-of-a-parabola

Trig Patterns

In this activity, students will use the unit circle to examine patterns in the six trigonometric functions. Students will compare angles created with the x-axis in all four quadrants and discuss with one another what is happening at each coordinate as they move the point around the circle.
https://education.ti.com/en/activity/detail/trig-patterns-@ns