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Transformations: Translating Functions

Translate different types of function graphs using sliders.
https://education.ti.com/en/activity/detail/transformations-translating-functions

Exponential Growth and Decay

This activity is a few word problems that involve some formulas that use exponential growth and decay.
https://education.ti.com/en/activity/detail/exponential-growth-and-decay

Constructing an Ellipse

Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at th...
https://education.ti.com/en/activity/detail/constructing-an-ellipse_1

Application of Polynomials

Students use the volume formula to find cubic polynomials in order to determine the dimensions of four different-size boxes used for packaging trash bags.
https://education.ti.com/en/activity/detail/application-of-polynomials

Application of Linear Systems

Students will solve a real-world problem about parking cars and buses using a system of linear inequalities.
https://education.ti.com/en/activity/detail/application-of-linear-systems

Why is the Sky Blue and When Will We Ever Use This?

Have you ever tried to come up with a real life example for a rational function with an exponent to the negative four? Have you ever wondered why the sky is blue? Here is a short example of the uses of a rational function.
https://education.ti.com/en/activity/detail/why-is-the-sky-blue-and-when-will-we-ever-use-this

Analyzing an Electricity Bill

This investigation guides the students through using a piecewise function to model an electric bill.
https://education.ti.com/en/activity/detail/analyzing-an-electricity-bill

Extraneous Solutions

Discover solutions of radical equations and investigate extraneous solutions.
https://education.ti.com/en/activity/detail/extraneous-solutions

Given the Graph of a Parabola, State its Equation in Vertex Form

This activity is designed for students to study on their own. It is designed in a 'StudyCard' format. A graph of a parabola will be shown. The student is asked to find the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. Press enter on the double up arrow in the Ans... section t...
https://education.ti.com/en/activity/detail/given-the-graph-of-a-parabola-state-its-equation-in-vertex-form

Watch Your P' and Q's

Students use the Rational Zero Theorem to find all rational zeros of a polynomial.
https://education.ti.com/en/activity/detail/watch-your-p-and-qs

Advanced Algebra Nomograph

This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...
https://education.ti.com/en/activity/detail/advanced-algebra-nomograph

Solving Systems using Elimination

Solve systems of three equations using the elimination method.
https://education.ti.com/en/activity/detail/solving-systems-using-elimination

Solving Systems of Linear Equations from Four Perspectives

Using the on-screen directions and the more detailed directions here, students will investigate four ways to solve systems of linear equations: graphically, numerically, with a data table and by matrices. Some prior familiarity with the basic functions of the TI-nspire CAS is needed. Students sho...
https://education.ti.com/en/activity/detail/solving-systems-of-linear-equations-from-four-perspectives

Solving Systems of Equations Check

This is just a Nspire file that affords the teacher some flexibility in terms of approach. It consists of ten problems with simple substitution.
https://education.ti.com/en/activity/detail/solving-systems-of-equations-check

The Factor Connection

In this activity, students will explore the connection between linear factors and quadratic functions. Transformations of quadratic functions will be used to develop and enhance the connection between factors, zeros, and graphs. It will make full use of the dynamic ability to manipulate graphs...
https://education.ti.com/en/activity/detail/the-factor-connection

Solve Systems of Equations Activity Part 2

This activity was created to try to make solving systems more engaging for students by using images from three major movies.
https://education.ti.com/en/activity/detail/solve-systems-of-equations-activity-part-2

Solving Systems Using Pictures!

This activity consists of three separate problems where students have to use systems of linear equations to find the points of intersection of various objects.
https://education.ti.com/en/activity/detail/solving-systems-using-pictures

Solving Systems with Row Operations 1

Use row operations to reduce an augmented matrix to its reduced row-echelon form.
https://education.ti.com/en/activity/detail/solving-systems-with-row-operations-1

Solving Systems with Row Operations 2

Use matrices as a tool to solve a system of three equations with three unknowns.
https://education.ti.com/en/activity/detail/solving-systems-with-row-operations-2

End Behavior of Polynomial Functions

Students will use a slider to scroll through the graphs of power functions with a coefficient of positive and negative 1 and determine similarities and differences among the functions. Students will generalize the end-behavior properties of various power functions.
https://education.ti.com/en/activity/detail/end-behavior-of-polynomial-functions

Radical Functions

Students use a nomograph to investigate functions defined by square roots. Nomographs consist of two or more parallel axes, one for inputs and another for outputs. Input, output pairs that belong to the function are graphed as corresponding points on the axes connected by a ray drawn from the inp...
https://education.ti.com/en/activity/detail/radical-functions_1

Exploring the Cycloid Curve

The TI Nspire's animation feature is used to show how a point on a rotating circle creates the cycloid curve. Students then examine the parametric equation of the cycloid. Finally, students are tasked with going online to investigate the terms brachistochronous and tautochronous and their relat...
https://education.ti.com/en/activity/detail/exploring-the-cycloid-curve

Equations of Parabolas

Students draw and measure lines and segments to discover properties of parabolas, specifically that the distance from any point on the parabola is equidistant to the focus and the directrix. They work with parabolas whose vertex is on the origin as well as off the origin and they also with parabo...
https://education.ti.com/en/activity/detail/equations-of-parabolas

Extraneous Solutions

Students will solve quadratic equations step by step graphically. They will discover that some of the equations have an extraneous solution and they will investigate at which step in solving the equation that these extra solutions appear.
https://education.ti.com/en/activity/detail/extraneous-solutions

Inverse of Two Temps

Students find a conversion equation that will calculate the corresponding Celsius temperature for any given Fahrenheit temperature. Students learn to graph scatter plots, analyze and graph linear equations, compute and model slope, derive and apply a conversion equation, and analyze inverse relat...
https://education.ti.com/en/activity/detail/inverse-of-two-temps