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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

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

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

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

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

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

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

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

Transformations: Dilating Functions

Dilate and reflect different types of function graphs by grabbing points.
https://education.ti.com/en/activity/detail/transformations-dilating-functions