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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

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

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

When Is Tangent, tangent?

This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...
https://education.ti.com/en/activity/detail/when-is-tangent-tangent

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

Getting Ready for Quadratics

This activity is intended as a skill-building exercise to familiarize students with TI-Nspire skills they will need to work through a unit studying the properties of quadratic functions. The activity includes exercises on Creating a Scatter Plot, Finding a Curve of Best Fit, and Tracing a Function.
https://education.ti.com/en/activity/detail/getting-ready-for-quadratics

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

The Park Problem

The goal of this activity is for students to see a real world application of a minimization problem. Students have to determine where to place a track inside a park to minimize the total distance of the track in Lazy Town.
https://education.ti.com/en/activity/detail/the-park-problem

Factoring Trinomials

Discover how the coefficients of a given trinomial affect the factors.
https://education.ti.com/en/activity/detail/factoring-trinomials

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

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 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

Eccentricity of Polar Equations of Conics

This activity will give students a series of polar equations of conics to discover a pattern of the eccentricity of each type of conic.
https://education.ti.com/en/activity/detail/eccentricity-of-polar-equations-of-conics

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

Expanding Binomials

In this activity, students will explore the link between Pascal's Triangle and the expansion of binomials in the development of the Binomial Theorem.
https://education.ti.com/en/activity/detail/expanding-binomials_1

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

What does "i" do?

The purpose of our lesson is to allow students to foster an understanding of what happens geometrically when a number is multiplied by i. This shall be achieved by working through the lesson using an investigative approach.
https://education.ti.com/en/activity/detail/what-does-i-do

Introduction to CAS. Adding polynomials, solving equations, factoring trinomials, expanding

This series of activities provides an introduction to some Algebra concelpts using CAS. The activities start with Algebra tiles and CAS. Patterning is modelled for the students so that they can construct the knowledge rather than be given a set of rules. The activities look at adding and subtr...
https://education.ti.com/en/activity/detail/introduction-to-cas--adding-polynomials-solving-equations-factoring-trinomials-expanding

Martinsville Chase

In this activity, students will analyze attaching a wing to a Sprint Cup car.
https://education.ti.com/en/activity/detail/martinsville-chase