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 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
Investigation of Similar Rectangles
This activity shows how the ratios of perimeters and the ratios of areas of similar rectangles compare to the similarity ratios.https://education.ti.com/en/activity/detail/investigation-of-similar-rectangles
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
How to Find the Center of a Circle Determined by Three Non-Collinear Points
...roblem 3 worksheet guides the novice user to perform the task using the TI-Nspire handheld. Several of the calculator tools and utilities are used in completing the activity to find the center and measure the radius of the circle. Problem 4 includes instruction for writing the equation of the cir...https://education.ti.com/en/activity/detail/how-to-find-the-center-of-a-circle-determined-by-three-noncollinear-points
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
Exploring Probability with Dice and Test Scores
1. In this activity students will investigate probabilities of independent events and interpret the probabilities they calculate. 2. At the 8th grade level, this activity can be used to solve simple problems involving probability and compare probabilities of events.https://education.ti.com/en/activity/detail/exploring-probability-with-dice-and-test-scores
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
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
F Distribution
Students study the characteristics of the F distribution and discuss why the distribution is not symmetric (skewed right) and only has positive values. Students then use the Fcdf command to find probabilities and to confirm percentiles. They move on to find critical values and then compute a conf...https://education.ti.com/en/activity/detail/f-distribution_1
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
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_1
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
...e come from a manufacturing 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 produ...https://education.ti.com/en/activity/detail/candy-pieces_1
Chi-Square Distributions
Students compare the Chi-Square distribution to the standard normal distribution and determine how the Chi-Square distribution changes as they increase the degrees of freedom.https://education.ti.com/en/activity/detail/chisquare-distributions_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
Complex Roots: A Graphical Solution
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph.https://education.ti.com/en/activity/detail/complex-roots-a-graphical-solution
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
Exploring Complex Roots
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph. Open the file CollegeAlg_ComplexRoots.tns on your TI-Nspire handheld device to work through the activity.https://education.ti.com/en/activity/detail/exploring-complex-roots
Difference Between Two Proportions
Students use confidence intervals to estimate the difference of two population proportions. First they find the intervals by calculating the critical value and the margin of error. Then, they use the 2-propZInterval command. Students find confidence intervals for differences in proportions in rea...https://education.ti.com/en/activity/detail/difference-between-two-proportions_1
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