TI-89 Riemann Sum Activities for Calculus
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of Riemann sums, and also convert Riemann sum limits to defini...https://education.ti.com/en/activity/detail/ti89-riemann-sum-activities-for-calculus
Solution 34694: Using the fnInt Function Integral Command on the TI-84 Plus Family of Graphing Calculators.
Solution 34694: Using the fnInt Function Integral Command on the TI-84 Plus Family of Graphing Calculators. Solution 34694: Using the fnInt Function Integral Command on the TI-84 Plus Family of Graphing Calculators. global Solution 34694: Using the fnInt Function Integral Command on the...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/34694
Solution 13341: Using the fnInt Function Integral Command on the TI-83 Plus Family of Graphing Calculators.
Solution 13341: Using the fnInt Function Integral Command on the TI-83 Plus Family of Graphing Calculators. Solution 13341: Using the fnInt Function Integral Command on the TI-83 Plus Family of Graphing Calculators. global Solution 13341: Using the fnInt Function Integral Command on the...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/13341
Convergence of Taylor Series
A Taylor Series for a function becomes the function as the number of terms increases towards infinity.https://education.ti.com/en/activity/detail/convergence-of-taylor-series
Applications of Critical Points
Students will examine the relationship between critical points and local extrema through real-world examples. Students will zoom in on the critical points to see if the curve becomes linear to determine if the function is differentiable at the critical point. They will then discover that the sign...https://education.ti.com/en/activity/detail/applications-of-critical-points
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
Taxicab Geometry
In this activity, students begin a study of taxicab geometry by discovering the taxicab distance formula. They then use the definition of radius to draw a taxicab circle and make comparisons between a circle in Euclidean geometry and a circle in taxicab geometry. Lastly, they construct taxicab pe...https://education.ti.com/en/activity/detail/taxicab-geometry
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
Finding Pi
Students discover that pi is the ratio of a circle's circumference to its diameter using manipulatives and the Nspire's data capture feature. This activity can be accomplished individually or in groups of 2 or 3.https://education.ti.com/en/activity/detail/finding-pi
Factoring Special Cases
Students explore geometric proofs for two factoring rules: a2 + 2ab + b2 = (a + b)2 and x2 – a2 = (x – a)(x + a). Given a set of shapes whose combined areas represent the left-hand expression, they manipulate them to create rectangles whose areas are equal to the right-hand expression.https://education.ti.com/en/activity/detail/factoring-special-cases_1
Dice Rolling and Probability
Students will utilize the Spreadsheet and Data and Statistics applications in the TI-Nspire handheld. They will create randomly generated data and will plot it in a Dot Plot to recognize relative frequency of outcomes.https://education.ti.com/en/activity/detail/dice-rolling-and-probability
Angles for a Solution
This lesson involves looking at several sketches of intersecting lines and determining the measures of the missing angles using the facts about supplementary, complementary, vertical, and adjacent angles.https://education.ti.com/en/activity/detail/angles-for-a-solution
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
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
Square it Up!
Students investigate the method of least squares by adding the squares to a scatter plot and moving a line to find the minimum sum. Then they compare their line to the built-in linear regression model.https://education.ti.com/en/activity/detail/square-it-up
Candy Pieces
...g process designed to produce equal proportions of each color. They will then use a chi-square test for goodness-of-fit to determine if there is a significant difference between the proportions they find in the sample and those they would expect if the manufacturer produced equal proportions of e...https://education.ti.com/en/activity/detail/candy-pieces_1
Cancer Clusters
Students will investigate cancer incidence rates in a number of states. Hypothesis testing is introduced and used along with a two-proportion z-test to compare cancer rates. This activity helps students to determine when a difference in data is actually statistically significant. This should enco...https://education.ti.com/en/activity/detail/cancer-clusters
NASA:Taking a Walk in the Neuroscience Laboratories
Within the Neuroscience Laboratories, many different functions are tested. For example, researchers in the Motion Laboratory focus on the post-flight disturbances in balance and gait control—areas with which many astronauts struggle. This laboratory develops training programs that will faci...https://education.ti.com/en/activity/detail/nasa--taking-a-walk
But What Do You Mean?
In this activity, students learn about the concept of mean or average, in addition to learning several ways to find the mean on the TI-Nspire handheld (including using a spreadsheet and the mean command). Students also use these methods to find the mean when given the frequencies of each number i...https://education.ti.com/en/activity/detail/but-what-do-you-mean
Independence Is the Word
Students use a simulation to find the experimental probability of independent events. They will find the sample space and then compare the experimental and theoretical probabilities.https://education.ti.com/en/activity/detail/independence-is-the-word
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
Probability Simulations
Students use the random integer (randInt) command to simulate probability experiments. They also graph the number of trials and corresponding probabilities to observe the Law of Large Numbers. Simulated experiments involve tossing a coin, spinning a spinner, and observing the gender of children i...https://education.ti.com/en/activity/detail/probability-simulations_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