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Classroom Activities Author Level Technology

10% Rule

This lesson involves investigating the differences between the standard deviations of sampling distributions of means for samples taken from finite populations with and without replacement.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
3287

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.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
2640

A Data and Statistics Example

This is an introduction to the TI-Nspire Data and Statistics feature. Real data from Subway is used to find the mean, create a histogram and box-and-whisker plots, and find a regression equation. Concepts:
Central tendencies spread of data, histogram, box and whisker plots, and regression equation.
Alignment :  Standards  Textbook
  • 6-8
  • 9-12
  • College
  • TI-Nspire™
  • TI-Nspire™ CAS
2979

A Piece of Pi: An Investigation into Geometric Probability and Pi

Have you ever noticed in how many places π turns up? Students will take part in a Buffon's Needle experiment and see how close they can get to 3.14.

To set up the lesson, there will be a brief historical tour of Pi as well as a clip from NUMB3RS, SEASON 2, Judgment Call. Next, the students will do an experiment and then transfer the data collected to the TI-nSpire where it will be analyzed and interpreted. Last, they will get to explore the problem using a simulated version.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2489

ACT Scores

Students review work with univariate and bivariate data in this quick activity appropriate for AP Statistics review.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2194

An Approximation to the Binomial Distribution

Students will investigate the binomial distribution for a small sample size of 10 with several different values for the probability of a success. Then students will graph a normal density curve along with the binomial distribution to roughly judge how accurately that model fits. Finally, students will discover that the larger the sample size, the less important the probability being close to 0.5 becomes. So, the normal distribution is a reasonable approximation to the binomial distribution.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2278

Analyzing the 2008 Steelers' Super Bowl Year

Use the TOUCHPAD Nspire to explore using:
the List & Spreadsheet Page to capture data previously entered as well as insert a column with new data;
the Data & Statistics Page to create and interprete graphs of Dot Plots, Box Plots, and scatterplots.

The learner will also analyze the data using the five number summary, measures of central tendencies, determine the LSRL and use graphs of the residuals and the square of the residuals to verify appropriateness of the y=mx+b regression model.
Alignment :  Standards  Textbook
  • 6-8
  • 9-12
  • College
  • TI-Nspire™
  • TI-Nspire™ CAS
2253

Application of Power

Students use the concept of power to explore how the probability of rejecting the null hypothesis, when it is false, plays a role in a real-world scenario.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
2079

Application of Sampling Distributions

In this activity, students examine samples from a normal population and observing the distribution of the means of those samples. Then they will observe how the sampling distribution changes as the sample size changes. Students will apply what they have learned to a real-world situation.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2116

Are They Truly Random?

Students will develop lists of random numbers generated by the TI-Nspire handheld. They will explore their set of numbers and engage in a discussion of whether the random number generator is truly generating numbers at random.

In addition, students will look at statistical models of their numbers and discuss whether "patterns" they see in the set of random numbers are possible if the numbers are truly random.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2073

Are You Confident?

A brief review of the normal distribution in Problem 1 followed by a visual development of confidence intervals in Problem 2 using simulated data.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2040

Areas In Intervals

Students use several methods to determine the probability of a given normally distributed value being in a given interval. First, they use the Integral tool to find areas under the curve and to the left of given values. Students continue the activity to find probabilities for which the corresponding area is greater than a given value, and then they conclude the activity by finding areas between z scores.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
  • TI-Nspire™
  • TI-Nspire™ CAS
2234

Assessing Normality

In this activity, students will learn four characteristics of a normal curve: the distribution is symmetric and mound-shaped; the mean and median are approximately equal; the distribution meets the 68-95.5-99.7 rule; and the normal probability plot is linear. They will use these to determine if a data set it normal.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™ CX
  • TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
4703

Binomial Distribution and Gender Biased Jury Selection

A high profile criminal case in our area gave me the idea of creating a binomial distribution using jury selection based on a selection by gender. Many cases could possibly be determined by the selection of men or women.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2092

Binomial Experiments

Students use the multiplication rule for independent events to find the probability of the first success in the nth trial. Students use their results to derive and test a general formula. Then, students expand on this foundation to derive and test a rule for the probability of x successes in n trials.
Alignment :  Standards  Textbook
  • 9-12
  • TI-Nspire™
  • TI-Nspire™ CAS
2069
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