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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

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

Inverse Fun

Investigate inverses of functions.
https://education.ti.com/en/activity/detail/inverse-fun

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

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

Exponential vs. Power

Compare rates of growth between an exponential function and a power function for positive x-values.
https://education.ti.com/en/activity/detail/exponential-vs--power

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

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

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