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
Graphs of Tangent, Cotangent, Secant, and Cosecant
The goal of this activity is for students to see how the graphs of tangent, cotangent, secant, and cosecant are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot. Students discover a way to relate each of th...https://education.ti.com/en/activity/detail/graphs-of-tangent-cotangent-secant-and-cosecant
Graph Sine and Cosine
Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...https://education.ti.com/en/activity/detail/graph-sine-and-cosine
Zeros of a Cubic
This activity introduces students to a relationship between the zeros of a cubic function with 3 distinct zeros.https://education.ti.com/en/activity/detail/zeros-of-a-cubic
Proof of Identity
Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.https://education.ti.com/en/activity/detail/proof-of-identity_1
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
Compositions Graphically
Students will use graphs and tables to find compositions of functions. Two of the compositions presented in this activity represent real-world situations, which should aid in students understanding the concept of compositions.https://education.ti.com/en/activity/detail/compositions-graphically
Composition of Functions
Students will determine the resulting functions produced from the composition of two functions. They will explore the graphical representation of the resulting function and support the algebraic solution by determining if the graphs coincide. Additionally, students will evaluate two points using ...https://education.ti.com/en/activity/detail/composition-of-functions
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
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
...is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find the rule of hidden functions by entering different domain values. They also use a nomograph with three vertical number lines to explore composite functions, including the composition of in...https://education.ti.com/en/activity/detail/advanced-algebra-nomograph
Functions and Inverses
Grab and drag a point along graphs of different functions to determine the relationship of ordered pairs.https://education.ti.com/en/activity/detail/functions-and-inverses
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
Radio Station KTNS
This lesson involves determining the distance one can hear a radio station as a function of the range of the station.https://education.ti.com/en/activity/detail/radio-station-ktns
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
Local Linearity
Students explore zooming in on various functions including piecewise functions.https://education.ti.com/en/activity/detail/local-linearity
Stacking Bricks
This activity presents a real-world situation--stacking bricks in a pile--that can be modeled by a polynomial function.https://education.ti.com/en/activity/detail/stacking-bricks_1
Stacking Bricks - 84
This activity presents a real-world situation--stacking bricks in a pile--that can be modeled by a polynomial function. Students create a small table to show how the number of bricks relates to the number of rows, and calculate the first, second, and third differences of the data. Next they use t...https://education.ti.com/en/activity/detail/stacking-bricks
Trigonometric Transformations
Students will use a slider to animate the graphing of a function of time that models the height of a capsule on the London Eye observation wheel as the wheel turns. Students will discover the concepts of amplitude, frequency, period, and midline. Students will create an appropriate equation to mo...https://education.ti.com/en/activity/detail/trigonometric-transformations
Graphing Quadratic Functions
Students graph quadratic functions and study how the constants in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs. The first part of the activity focuses on the vertex form, while the second part focuses on the standard form. Both activities include...https://education.ti.com/en/activity/detail/graphing-quadratic-functions_1
Area of Rectangles with Fixed Perimeter
The students will construct several rectangles with different dimensions, all having the same perimeter. The area of each rectangle is then computed and plotted against the width of each rectangle. The students will discover that the area is a quadratic function of the width. They will also dis...https://education.ti.com/en/activity/detail/area-of-rectangles-with-fixed-perimeter
Around the Vertex in 80 Days
Students move a quadratic function in the coordinate plane to specific points to observe how the vertex form of the equation changes.https://education.ti.com/en/activity/detail/around-the-vertex-in-80-days_1