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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

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

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

Local Linearity

Students explore zooming in on various functions including piecewise functions.
https://education.ti.com/en/activity/detail/local-linearity

Diffusion Data Collection Lab

In this lesson, students will use varying molarities of a salt solution to observe diffusion through a membrane.
https://education.ti.com/en/activity/detail/diffusion-data-collection-lab

Function Notation

Investigate and understand the symbolic language in the notation of functions used in mathematics.
https://education.ti.com/en/activity/detail/function-notation_1

Logarithmic Transformations

Test knowledge and determine the logarithmic function for a given graph.
https://education.ti.com/en/activity/detail/logarithmic-transformations

Vernier - Chill Out: How Hot Objects Cool

Students use a temperature probe to collect data as the warmed probe cools. Students investigate Newton's law of cooling and model cooling data with an exponential function. They fit the data to a mathematical model after analysis.
https://education.ti.com/en/activity/detail/vernier--chill-out-how-hot-objects-cool

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

Sail Problem (Parallel Lines & Segment Relationships)

In this activity, students will explore the proportional relationships involved in multiple parallel lines being cut by transversals. These relationships are approached through exploration of a sail design problem, where students are to find the lengths of pieces of fabric along the edge of a s...
https://education.ti.com/en/activity/detail/sail-problem-parallel-lines--segment-relationships

Compound Interest: Show Me the Money

This is an activity at the conclusion of the exponential relationship unit where students have experience with equations in the form y=a*b^x. Students use the random integer function on the TI-83 Plus to generate a rate of return for the investment profile they choose.
https://education.ti.com/en/activity/detail/compound-interest-show-me-the-money

Cell Phone Range

Students will learn to identify the domain and range of various real-world step functions. They will graphically explore numerical data points and observe step functions.
https://education.ti.com/en/activity/detail/cell-phone-range

Linear Equations Jeopardy

This activity is designed as a review of linear equations. Students will review slope, functions, writing equations in slope-intercept form, and point-slope form.
https://education.ti.com/en/activity/detail/linear-equations-jeopardy

Linear Functions using the CBL 2™

Students will generate data on the CBL 2™ to represent a linear function. They will investigate the slope of a direct variation. Then they will use different starting points to represent y intercept.
https://education.ti.com/en/activity/detail/linear-functions-using-the-cbl-2

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

Multiplicity of Zeros of Functions

In this activity for the TI-84 Plus CE Family,  students will utilize graphs and equations of polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis or is tangent to the x-axis at the zeros.
https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions_1