Elliptical Orbits
This lesson involves generating equations of best fit for an ellipse.https://education.ti.com/en/activity/detail/elliptical-orbits
How Many Solutions 2
Recognize that a system of two equations in two variables can have no solution, one or more solutions, or infinitely many solutions.https://education.ti.com/en/activity/detail/how-many-solutions-2
Modeling Engine Power
In this activity, students use the TI-Nspire handheld to determine if a linear model or a quadratic model best fits a set of given data involving engine power. Students look at the pattern of data points and the sum of squares of the deviations to determine which model fits the data.https://education.ti.com/en/activity/detail/modeling-engine-power
Hose Problem
Investigating the behaviour of water jets from a hose. Suitable for Year 10 extension or Year 11 students. Graphing parabolas, features of quadratic functions, regression lines. Using TI-Nspire.https://education.ti.com/en/activity/detail/hose-problem
Completing the Square Algebraically
Complete the square algebraically to rewrite a quadratic expression.https://education.ti.com/en/activity/detail/completing-the-square-algebraically
Completing the Square
Complete the square in an algebraic expression.https://education.ti.com/en/activity/detail/completing-the-square
Investigating the Graphs of Quadratic Equations
A graph of a quadratic equation will be shown. Also shown is the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. And an ordered pair for one the points on the parabola will be shown on the screen. Use the pointer tool to double click on the equation on the graph screen. This wil...https://education.ti.com/en/activity/detail/investigating-the-graphs-of-quadratic-equations
Linear-Quadratic Inequalities
Explore the solutions of a linear-quadratic and quadratic-quadratic system of inequalities.https://education.ti.com/en/activity/detail/linearquadratic-inequalities
Linear Inequalities
Linear programming is a technique used to solve problems that are encountered in business and industry. These problems usually involve maximizing or minimizing profit or expenses. The solution will consist of graphing the region that satisfies all the inequalities. The solution will produce a fea...https://education.ti.com/en/activity/detail/linear-inequalities
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 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
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
G11 - Math Linear Ineaqualities
تمثيل المتباينات الخطية ومتباينات القيمة المطلقة بيانياً Graphing Linear and Absolute Value Inequalitieshttps://education.ti.com/en/activity/detail/g11--math-linear-ineaqualities
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 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
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
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
Vernier - Freezing and Melting of Water
In this experiment, the cooling and warming behavior of a familiar substance, water, will be investigated. By examining graphs of the data, the freezing and melting temperatures of water will be determined and compared.https://education.ti.com/en/activity/detail/vernier--freezing-and-melting-of-water_1