Graphing Quadratic Functions
Students graph quadratic functions and study how the variables in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs.https://education.ti.com/en/activity/detail/graphing-quadratic-functions
Folding Parabolas
In this activity, students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value. They then calculate the average of the x-values of these points and discover that not only do all the points have the same x-value, but the average is equal to the...https://education.ti.com/en/activity/detail/folding-parabolas
How Much Does Bubble Gum Stretch a Rubber Band?
Students will conduct an experiment where they determine how much various quantities of bubble gum affect the length of a rubber band.https://education.ti.com/en/activity/detail/how-much-does-bubble-gum-stretch-a-rubber-band
Polar Conics
This lesson involves exploration of polar equations for conic sections.https://education.ti.com/en/activity/detail/polar-conics
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
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
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
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
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
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
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
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
Function Composition
Explore the composition of a linear and a quadratic function.https://education.ti.com/en/activity/detail/function-composition
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
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
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
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