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
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
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
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
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
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
One Year Makes a Difference
This lesson involves drawing informal comparative inferences about two populations.https://education.ti.com/en/activity/detail/one-year-makes-a-difference
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
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
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
Candy Pieces
Students will be introduce to hypothesis testing. Students are given the number of pieces by color in a bag of candy. They are asked if they think the bag could have come from a manufacturing process designed to produce equal proportions of each color. They will then use a chi-square test for goo...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
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
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
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
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
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