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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

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

Graphing Exponentials

Investigate the graphs of the family of exponential functions.
https://education.ti.com/en/activity/detail/graphing-exponentials

Graphic Designing with Transformed Functions

Create an image using transformed functions with restricted domains.
https://education.ti.com/en/activity/detail/graphic-designing-with-transformed-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

Graph Logarithms

Investigate the graphs of a family of logarithm functions by changing the a-value over the internal 0 to 4.
https://education.ti.com/en/activity/detail/graph-logarithms

Transformations: Translating Functions

Translate different types of function graphs using sliders.
https://education.ti.com/en/activity/detail/transformations-translating-functions

Exploring Power Functions 2

Investigate power functions by clicking on a slider.
https://education.ti.com/en/activity/detail/exploring-power-functions-2

Exploring Power Functions 1

Examine the graphs of power functions with even and odd positive integer exponents.
https://education.ti.com/en/activity/detail/exploring-power-functions-1

Application of Function Composition

Determine the domain and range of two functions and the composite functions.
https://education.ti.com/en/activity/detail/application-of-function-composition

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

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

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

Vertex and Factored Form of Quadratic Functions

Determine the effect of parameters have upon the graph of the quadratic function in vertex and factored form.
https://education.ti.com/en/activity/detail/vertex-and-factored-form-of-quadratic-functions

Families of Functions

Change sliders and observe the effects on the graphs of the functions.
https://education.ti.com/en/activity/detail/families-of-functions

Function Composition

Explore the composition of a linear and a quadratic function.
https://education.ti.com/en/activity/detail/function-composition

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

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

Function or Not a Function

Examine some input-output relations to determine if a relation is a function.
https://education.ti.com/en/activity/detail/function-or-not-a-function