Infinite Geometric Series
Students 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.https://education.ti.com/en/activity/detail/infinite-geometric-series
Similar Figures
Observe what happens to ratios of pairs of side of rectangles and triangles.https://education.ti.com/en/activity/detail/similar-figures
Proving Angles Congruent
In this activity students will be introduced to proofs, including 2-column proofs, paragraph proofs and flow-proofs. They will also look at different diagrams to decide what the diagram is telling them and what they can infere. They will also look at complementary, supplementary, adjacent and v...https://education.ti.com/en/activity/detail/proving-angles-congruent_1
Triangle Midsegment Exploration
The activity has the students investigate the relationship of the midsegment to the third side of the triangle. In addition the students investigate the area of the smaller triangles compared to the larger one and uses the results to solve the "campground" problem. There is a set of follow-up q...https://education.ti.com/en/activity/detail/triangle-midsegment-exploration
Angles of a Triangle
This activity explores the various relationships of the angles of a triangle. It starts with an interior angle and its corresponding exterior angle. Then the sum of the interior angles. Finally, the relationship between one exterior angle and its remote interior angles. The students are prov...https://education.ti.com/en/activity/detail/angles-of-a-triangle_2
Applications of Similar Figures
Students will identify corresponding parts of figures and use the definition of similar figures to solve real-world applications involving rectangles and triangles.https://education.ti.com/en/activity/detail/applications-of-similar-figures
Are all Constructions Created Equal?
This activity is designed to give preservice teachers an introduction to the circle, compass and line tools in the Graphs & Geometry application of the TI-NSpire. The set of four investigations are designed to provide them with ideas on how to assess geometric constructions by identifying the dif...https://education.ti.com/en/activity/detail/are-all-constructions-created-equal
Nested Similar Triangles
Discover the conditions that make triangles similar by moving the sides opposite the common angle in nested triangles.https://education.ti.com/en/activity/detail/nested-similar-triangles
The Pirate Problem
...after the palm tree in the treasure map disappears? What begins with inductive reasoning ends with a formal proof. This lesson, easily adapted to middle school, utilizes knowledge of quadrilaterals, congruent triangles, reflection, and symmetry. This high school version requires a healthy dos...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
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
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
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
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
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
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
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