The Geometric Mean
In this activity, students will establish that several triangles are similar and then determine that the altitude to the hypotenuse of a right triangle is the geometric mean between the segments into which it divides the hypotenuse.https://education.ti.com/en/activity/detail/the-geometric-mean_1
Regular Polygons - Angle Measurements
Students will investigate the number of degrees in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the sum of the measures of the degrees of the polygons.https://education.ti.com/en/activity/detail/regular-polygons--angle-measurements
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
Special Segments in Triangles
In this activity, students construct medians, altitudes, angle bisectors, and perpendicular bisectors of triangles. They then drag the vertices to see where the intersections of the segments lie in relation to the triangle, and they measure distances to identify relationships. They see that the i...https://education.ti.com/en/activity/detail/special-segments-in-triangles_1
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
Ratios of Similar Triangles
In this activity, students will explore two ways of comparing side lengths of similar triangles. They will calculate ratios and change the triangles to see how the ratio changes. Then they will write proportions using the ratios.https://education.ti.com/en/activity/detail/ratios-of-similar-triangles_1
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
Representing the Solution Process by Graphing
In this activity, students will explore the relationships in equations. Students will validate inquiries by graphing expressions from both sides of an equation. Students will rationalize the characteristics of graphing equations. At the Pre-Algebra level, this activity can be used to compare equ...https://education.ti.com/en/activity/detail/representing-the-solution-process-by-graphing
Perpendicular Slopes
Students investigate the 'negative reciprocal' relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as they are led through an algebraic proof of the relationship. Optional geometric activities (problems 5 and 6 of the ....https://education.ti.com/en/activity/detail/perpendicular-slopes
Interior Angles of Regular Polygons
Explore the interior angles of regular polygons by dividing the polygons into triangles.https://education.ti.com/en/activity/detail/interior-angles-of-regular-polygons
Algebra Nomograph
...mation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find the rule of a hidden function by entering domain values and observing how they are transformed. They also use a nomograph with three vertical number lines to expl...https://education.ti.com/en/activity/detail/algebra-nomograph
Using Sliders and Parameters in Linear Functions
Students will have the opportunity to see the impact of the slope parameter m on a graph of a line in slope-intercept form by using a slider or by changing the values of the parameter. They will have the same opportunity to manipulate b. Questions follow to determine the degree to which the stude...https://education.ti.com/en/activity/detail/using-sliders-and-parameters-in-linear-functions
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
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
Slope - Confidence Interval and Hypothesis Test
This lesson involves investigating the confidence interval and hypothesis test for the slope of a regression line.https://education.ti.com/en/activity/detail/slope--confidence-interval-and-hypothesis-test
Statistical Inference: Confidence Intervals
The students will construct 1-proportion confidence intervals. This lesson begins by having the students construct a confidence interval with the formula and then leads them through the steps needed to use the Nspire's statistical applications to construct confidence intervals. Students would do ...https://education.ti.com/en/activity/detail/statistical-inference-confidence-intervals
Confidence Intervals for 2 Sample Proportions
Do senior citizens and college students have different memories about high school? The activity Confidence Intervals: 2-Sample Proportions involves investigating random samples from two populations from a large Midwestern city with respect to the question: "When you were in high school, did you h...https://education.ti.com/en/activity/detail/confidence-intervals-for-2-sample-proportions
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
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
Influence and Outliers
In this activity, students will identify outliers that are influential with respect to the least-squares regression line. Students will describe the role of the location of a point relative to the other data in determining whether that point has influence on the least-squares regression line.https://education.ti.com/en/activity/detail/influence-and-outliers
Random Samples
Compare the results of the three estimation methods to show that random samples of rectangles provide estimates that, on average, are closer to the true population mean than the other two methods.https://education.ti.com/en/activity/detail/random-samples
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
Make the Basket
Students will use parametric equations to model two physical situations: making a free throw (basketball) and hitting a home run (baseball). Students will begin exploring the models by using sliders to change to the angle and velocity of the shot or hit. They will then move the time slider to see...https://education.ti.com/en/activity/detail/make-the-basket
Linear Equation Games Unit: Activity #9 9 Ball Game
This activity provides a ‘9 Ball Pool Table’ on a graph page. Students are to begin the game by clicking on the ‘play’ button to start the animation of the pool balls. They move the 'cue' ball around and find equations that go through the 'cue' ball, another ball(s) and the hole.https://education.ti.com/en/activity/detail/linear-equation-games-unit-activity-9-9-ball-game
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