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Graphs of Polynomial Functions

The activity begins by having students compare functions to introduce the concept of end behavior. Then they graph cubics and quartics, noting the respective end behaviors for positive and negative leading coefficients. Finally, they compare quadratics to quartics and cubics to quintics to discov...
https://education.ti.com/en/activity/detail/graphs-of-polynomial-functions

One- and Two-Variable Statistics--Review

In this activity, students will review the concepts that they have learned thus far in statistics. The first part of the activity includes one-variable topics such as graphing quantitative variables, calculating measures of central tendency and spread, and making comparisons. The second part incl...
https://education.ti.com/en/activity/detail/one-and-twovariable-statisticsreview_1

Solids of Revolution

Students will investigate 3D visualizations of volumes created by rotating a function about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theo...
https://education.ti.com/en/activity/detail/solids-of-revolution

Taylor Polynomial Examples

Taylor polynomials associated with five common functions.
https://education.ti.com/en/activity/detail/taylor-polynomial-examples

t Distributions

Students compare the t distribution to the standard normal distribution and use the invT command to find critical values for a t distribution.
https://education.ti.com/en/activity/detail/iti-distributions_1

Probability Distributions

Students will describe how the distribution of a random sample of outcomes provides information about the actual distribution of outcomes in a discrete sample space.
https://education.ti.com/en/activity/detail/probability-distributions_1

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

Infinite Geometric Series

In this activity, students will explore infinite geometric series. They will consider the effect of the value for the common ratio and determine whether an infinite geometric series converges or diverges. Students will numerically analyze infinite geometric series using spreadsheets.
https://education.ti.com/en/activity/detail/infinite-geometric-series_1

Investing in Your Future - Using Spreadsheets to Make Comparisons

This activity provides students the opportunity to make financial decisions based on different investment scenarios. Students will use the spreadsheet application of the TI-Nspire calculator to compare the results of investing in a certificate of deposit or a Money Market Account. Students will p...
https://education.ti.com/en/activity/detail/investing-in-your-future--using-spreadsheets-to-make-comparisons

It's a Parallelogram, You Say?

Students represent complex numbers in the complex plane as points or vectors and display the sum and difference of two complex numbers as diagonals of the parallelograms they define.
https://education.ti.com/en/activity/detail/its-a-parallelogram-you-say_1

Graph Sine and Cosine

Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...
https://education.ti.com/en/activity/detail/graph-sine-and-cosine

Introducing Absolute Value

This activity introduces absolute value from a data value perspective. Students examine data by comparing individual data points to the mean by finding the difference (positive or negative) and the distance from the mean. They then plot the distances vs. the differences and examine the shape of t...
https://education.ti.com/en/activity/detail/introducing-absolute-value

Quadratic Formula and Discriminant

This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...
https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant

NASA - Newton's Cool in the Pool

To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in...
https://education.ti.com/en/activity/detail/nasa--newtons-cool-in-the-pool

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

Complex Numbers: Plotting and Polar Form

This activity is designed for students who have had prior experience with complex numbers. They first refresh their memories of basic operations with complex numbers. Students then learn to plot complex numbers. Students learn the basics of writing complex numbers in their polar forms and compari...
https://education.ti.com/en/activity/detail/complex-numbers-plotting-and-polar-form

Living on the Edge

Students build a solution to a rather complex problem: Finding the edge length of an octahedron given its volume by solving two simpler problems first.
https://education.ti.com/en/activity/detail/living-on-the-edge_1

Calculations at the Crazy Cookie Company

Performing matrix multiplication for the first time, students are prompted to use reasoning skills to determine if matrix products are possible for given pairs of matrices. The tutorial leads them through matrix product operations to find rules for matrix multiplication and predicting dimensions ...
https://education.ti.com/en/activity/detail/calculations-at-the-crazy-cookie-company

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

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

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

Vector Components

In this lesson, students will first explore the relationship between the magnitude and direction of a vector and the components of the vector. Students will then explore how two vectors are added to produce a resultant vector.
https://education.ti.com/en/activity/detail/vector-components

Sampling

Students learn about each of the four types of random sampling methods and use the randInt command to find each kind of sample from a given population.
https://education.ti.com/en/activity/detail/sampling

Linear Regression: Wing Span/Height

Students take measurements of individual's wing span and height and create a coordinate graph. The activity should include at least three different grade levels. Students submit an equation through "Activity Center" and the class compares the different equations.
https://education.ti.com/en/activity/detail/linear-regression-wing-spanheight

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