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Chirp, Jump, Scatter

In this activity, students will find a best fit line for data graphed as scatter plots. Applications of linear relationships provide motivation for students and improve their skills and understanding of finding the equation of a line from two known points. Movable lines make this activity approac...
https://education.ti.com/en/activity/detail/chirp-jump-scatter_1

Rates of Change and Slope

This lesson was designed for the Grade 10 Applied curriculum in Ontario. In that course, students are expected to connect the rate of change of a linear relationship to the slope of a line.
https://education.ti.com/en/activity/detail/rates-of-change-and-slope

Exploring Functions

Students will explore functions and identify domain and range using graphs, equations, and function tables. This activity was created for students who have had a lesson of functions and have some basic knowledge of TI-Nspire technology.
https://education.ti.com/en/activity/detail/exploring-functions

Examining Patterens in a Table, Function Rule, and Graphs

In this activity, students will identify characteristics of proportional and non-proportional linear relationships by examining patterns in a table, function rules, and a graph. Students will distinguish between proportional and non-proportional relationships by comparing patterns in table, funct...
https://education.ti.com/en/activity/detail/examining-patterens-in-a-table-function-rule-and-graphs

Finding Extraneous Solutions

Students will solve different types of equations step by step graphically. They will discover that some of the equations have an extraneous solution and they will investigate at which step in solving the equation that these "extra" solutions appear.
https://education.ti.com/en/activity/detail/finding-extraneous-solutions

Move Those Chains

In this activity, students will explore the Chain Rule. Students are asked to make a conjecture of the derivative of f(x) = (2x + 1)2 based on the Power Rule. They are then asked to graph their derivative function and compare it to the graph of f´(x). They will then examine "true" statements abou...
https://education.ti.com/en/activity/detail/move-those-chains

How Many Solutions?

Students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.
https://education.ti.com/en/activity/detail/how-many-solutions

The Derivatives of Logs

Students will use the Chain Rule to find the derivative of more complex exponential and logarithmic functions.
https://education.ti.com/en/activity/detail/the-derivatives-of-logs

Assessing Normality

In this activity, students will learn four characteristics of a normal curve: the distribution is symmetric and mound-shaped; the mean and median are approximately equal; the distribution meets the 68-95.5-99.7 rule; and the normal probability plot is linear. They will use these to determine if a...
https://education.ti.com/en/activity/detail/assessing-normality

Graphical Analysis

Students will analyze graphs of polynomials finding intervals over which the function is increasing or decreasing and positive or negative, as well as the function’s relative minimum and maximum values and x- and y-intercepts.
https://education.ti.com/en/activity/detail/graphical-analysis

Simple Harmonic Motion

With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.
https://education.ti.com/en/activity/detail/simple-harmonic-motion_1

Resampling

This lesson involves approximate sampling distributions obtained from simulations based directly on a single sample. The focus of the lesson is on conducting hypothesis tests in situations for which the conditions of more traditional methods are not met.
https://education.ti.com/en/activity/detail/resampling

Normal Probability Plot

This lesson involves creating a normal probability plot for several data sets involving height to examine the appearance of such plots when the distribution is approximately normal.
https://education.ti.com/en/activity/detail/normal-probability-plot

Multiplicity of Zeros of Functions

Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the d...
https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions

Investigating Sine and Cosine Functions Graphically

Students will use Sliders on the TI-Nspire to change coefficients of the basic sine and cosine function. Students will investigate how the graph changes by looking at different coefficients. Students will also investigate the sine and cosine graphs by comparing intersection points. Download t...
https://education.ti.com/en/activity/detail/investigating-sine-and-cosine-functions-graphically

Inverse Trig Functions

This activity works backwards by giving students the inverse functions and having them discover how they relate to the original functions. By tracing along the inverse function, data is collected and then plotted on a statplot. The variables are then switched on the statplot. The new plot and ...
https://education.ti.com/en/activity/detail/inverse-trig-functions

Investing in Your Future - Using Spreadsheets to Make Comparisons

...ation of the TI-Nspire calculator to compare the results of investing in a certificate of deposit or a Money Market Account. Students will predict which investment scenario produces a greater return on their investment. Students will manipulate the formula in a spreadsheet to determine the total ...
https://education.ti.com/en/activity/detail/investing-in-your-future--using-spreadsheets-to-make-comparisons

Application of Maximum-Minimum Problems

Students will use a graphing approach to find the minimum costs of running a new line from a power station to a point on an island. Students will begin with a scaled drawing and follow the prompts. They will also manually collect data and find a curve of best fit.
https://education.ti.com/en/activity/detail/application-of-maximumminimum-problems

Area Under a Curve

Students will approximate the area under a polynomial curve using rectangles. Each of the polynomials in this activity represents a real-world situation to enable students to see the importance of finding the area under a curve.
https://education.ti.com/en/activity/detail/area-under-a-curve

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

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

Summing up Geometric Series

This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.
https://education.ti.com/en/activity/detail/sum-of-infinite-geometric-series

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

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