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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

Soda Problem: Finding the relationship between Sodium and Sugar

The students will use nutrition label data of certain sodas to create and analyze a scatterplot of the amount of sodium versus the amount of sugar in various soft drinks. They will put the data into lists, create scatterplots, discuss correlations, acquire the line of best fit, and predict other...
https://education.ti.com/en/activity/detail/soda-problem-finding-the-relationship-between-sodium-and-sugar

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

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

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

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

Linear Inequalities

Students first look at tables of values to see that inequalities are true for some values of the variable and not for others. They then graph simple inequalities, comparing the handheld output with graphs they create on paper. The last two problems have students solve one-step linear inequalities...
https://education.ti.com/en/activity/detail/linear-inequalities

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

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

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

t Distributions

Students compare the t distribution to the standard normal distribution and use the invT command to find critical values for a t distribution.
https://education.ti.com/en/activity/detail/iti-distributions_1

Family of t Curves

This lesson involves investigating how a t-distribution compares to a normal distribution.
https://education.ti.com/en/activity/detail/family-of-t-curves

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

Probability Distributions

Students list outcomes for probability experiments such as flipping a coin, rolling number cubes, and observing the sex of each child born in a family. They use these outcomes to record the values of random variables, such as number of tails, sum of the cubes, and number of boys. Students then cr...
https://education.ti.com/en/activity/detail/probability-distributions_2

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

Infinite Geometric Series

In this activity, students will 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. Students will numerically analyze infinite geometric series using spreadsheets.
https://education.ti.com/en/activity/detail/infinite-geometric-series_1

Graphing Quadratic Functions

Students graph quadratic functions and study how the variables in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs.
https://education.ti.com/en/activity/detail/graphing-quadratic-functions

Introducing Absolute Value

This activity introduces absolute value from a data value perspective. Students examine data by comparing individual data points to the mean by finding the difference (positive or negative) and the distance from the mean. They then plot the distances vs. the differences and examine the shape of t...
https://education.ti.com/en/activity/detail/introducing-absolute-value

NASA - Newton's Cool in the Pool

To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in...
https://education.ti.com/en/activity/detail/nasa--newtons-cool-in-the-pool