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Polar Conics

This lesson involves exploration of polar equations for conic sections.
https://education.ti.com/en/activity/detail/polar-conics

Properties of Parabolas

This investigation offers an approach to show students the basic definition of a parabola as the locus of all points equidistant from a fixed point (focus) and a fixed line (directrix). Students will also interpret the equation for a parabola in vertex form and gain a visual understanding of a pa...
https://education.ti.com/en/activity/detail/properties-of-parabolas

Radical Transformations

Students will use sliders to examine how the square root function is transformed on the coordinate plane.
https://education.ti.com/en/activity/detail/radical-transformations_1

Summing up Geometric Series

This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.
https://education.ti.com/en/activity/detail/sum-of-infinite-geometric-series

Parameters in Secondary School: Logistics Functions

Designed for prospective secondary mathematics teachers, this activity has students predict, test and justify the effects of changing parameters d and b for the logistic function family given by f(x) = a/(1+b(e)^(cx)) + d. Reflection questions draw attention to the role of claims and evidence, in...
https://education.ti.com/en/activity/detail/parameters-in-secondary-school-logistics-functions

Outbreak

Students explore a geometric sequence related to an outbreak of the flu, extrapolate to make predictions based on given data, and apply summation notation to determine the sum of any number of terms, n, in a series.
https://education.ti.com/en/activity/detail/outbreak

Quadratic Functions and Stopping Distance

Analyze data in real-life applications of the quadratic function.
https://education.ti.com/en/activity/detail/quadratic-functions-and-stopping-distance

Remember When

In this activity, students will model the relationship between the year and average income, average price of a house, and average price of a car using exponential functions. Then students will answer questions related to the models to gain a deeper understanding of exponential functions.
https://education.ti.com/en/activity/detail/remember-when

Modeling with a Quadratic Function

In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.
https://education.ti.com/en/activity/detail/modeling-with-a-quadratic-function

Systems of Linear Inequalities 2

Examine the graphical and algebraic representations of a system of inequalities.
https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-2

Systems of Linear Inequalities 1

Solutions to a system of linear inequalities is the intersection of each of the corresponding half planes.
https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-1

Areas of Polygons

Use determinants of matrices as a tool to find the areas of triangles and quadrilaterals.
https://education.ti.com/en/activity/detail/areas-of-polygons

Elliptical Orbits

This lesson involves generating equations of best fit for an ellipse.
https://education.ti.com/en/activity/detail/elliptical-orbits

Standard Form of Quadratic Functions

Use sliders to determine the effect the parameters have upon a quadratic function in standard form.
https://education.ti.com/en/activity/detail/standard-form-of-quadratic-functions

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 Systems and Calories

Set up and solve systems of equations.
https://education.ti.com/en/activity/detail/linear-systems-and-calories

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

Discriminant Testing

Discover the relationship between the value of the discriminant and the nature of the roots of quadratic functions.
https://education.ti.com/en/activity/detail/discriminant-testing

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