Integration By Substitution
Students explore methods for computing integrals of functions that are not in one of the standard forms.https://education.ti.com/en/activity/detail/integration-by-substitution_1
Extrema
Students will learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use Trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.https://education.ti.com/en/activity/detail/extrema
Minimizing Surface Area of a Cylinder Given a Fixed Volume
Students will discover the relationship between radius and height of a cylinder so that surface area of a cylinder can be minimized while maintaining a fixed volume. This is just an introduction to a project that they will begin after this investigation. Once this is completed, they will redesig...https://education.ti.com/en/activity/detail/minimizing-surface-area-of-a-cylinder-given-a-fixed-volume
Logic
This document reviews logical reasoning with problems on compound statements, conditional statements, and algebraic proofs.https://education.ti.com/en/activity/detail/logic
The Pirate Problem
The classic geometry problem developed in 1947 by George Gamow comes alive with the interactive platform of TI-Nspire. Will the treasure still be found after the palm tree in the treasure map disappears? What begins with inductive reasoning ends with a formal proof. This lesson, easily adapte...https://education.ti.com/en/activity/detail/the-pirate-problem
Secants and Angles in a Circle
This activity is designed to allow students to gain an understanding of the relationship between the arcs and angles formed by secants drawn from a common external point outside a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.https://education.ti.com/en/activity/detail/secants-and-angles-in-a-circle
Secants and Segments in a Circle
This activity is designed to allow students an opportunity to gain an understanding of the relationship among the segments formed by two secants drawn from a common external point to a circle. It includes an interactive geometry page, some circle problems, and a Euclidean proof.https://education.ti.com/en/activity/detail/secants-and-segments-in-a-circle
Soda Problem: Finding the relationship between Sodium and Sugar
The students will use nutrition label data of certain sodas to create and analyze a scatterplot of the amount of sodium versus the amount of sugar in various soft drinks. They will put the data into lists, create scatterplots, discuss correlations, acquire the line of best fit, and predict other...https://education.ti.com/en/activity/detail/soda-problem-finding-the-relationship-between-sodium-and-sugar
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/algebra-nomograph
Trains in Motion
Compare and contrast the motion of two objects and how it corresponds to distance as a function of time.https://education.ti.com/en/activity/detail/trains-in-motion_1
Box Plot Comparison
In this activity, students will create dot plots and box-and-whisker plots of the temperatures of three different cities along the United States' East Coast: Caribou, Maine, Washington, DC, and Tampa, Florida. Students will make dot plots for each city and compare the representations to one ano...https://education.ti.com/en/activity/detail/box-plot-comparison
Helping students learn how to use built-in functions on the TI nspire
Students will follow step-by-step directions to become familiar with how to use the TI nspire's built in functions. Tutorial includes converting to decimal, approximating fractions, finding remainders, finding LCM, using factorials, creating mixed numbers, and factoring numbers to their prime fac...https://education.ti.com/en/activity/detail/helping-students-learn-how-to-use-builtin-functions-on-the-ti-nspire
Composite Rectangular Figures
Students will find the perimeter and area of a composite rectangular figure. They will explain how to find the measures (lengths) of unknown sides as well as the area of the entire polygon by dividing the figure into smaller rectangular figures.https://education.ti.com/en/activity/detail/composite-rectangular-figures
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
The Integrated Medical Model
As NASA is designing a new spacecraft capable of taking humans into deep space, and with the future advent of commercial spaceflight, a deeper and better understanding of medical risk has become even more vital for maintaining spaceflight safety and health for humans.https://education.ti.com/en/activity/detail/the-integrated-medical-model
Testing Claims About Proportions
Students find z-scores and critical values to test claims about proportions. To verify the results, they find P-values by either finding the area under the curve with the Integral tool, or by using the 1-Prop z Test command.https://education.ti.com/en/activity/detail/testing-claims-about-proportions_1
Z-Scores
This lesson involves finding the area under the standard normal curve with mean 0 and standard deviation 1 for a given distance from the mean and compare this to the area under the curve for another member of the family of normal curves.https://education.ti.com/en/activity/detail/zscores
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
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
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
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
Olympic Gold (Regression Wisdom)
This activity takes a deeper look into the use of linear regressions. It addresses some of the limitations and common mistakes encountered with regressions.https://education.ti.com/en/activity/detail/olympic-gold-regression-wisdom
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices_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