The Classic Box Problem - Calculus
The Box_Problem_Calculus.tns document takes a classic problem from calculus and uses the dynamic linking capabilities of TI-Nspire to enact the problem in multiple representations: diagramatic, graphic, numeric, geometric, and symbolic. The problem is posed on the title screen shown at the right.https://education.ti.com/en/activity/detail/the-classic-box-problem--calculus
Blocking Introduction
This lesson involves investigating the effectiveness of two mosquito sprays in a large tract of land by using two different experimental designs - one randomized design and one randomized block designs.https://education.ti.com/en/activity/detail/blocking-introduction
Exploring Complex Roots
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph. Open the file CollegeAlg_ComplexRoots.tns on your TI-Nspire handheld device to work through the activity.https://education.ti.com/en/activity/detail/exploring-complex-roots
Binomial Pdf- Eye Color
This lesson involves binomial trials, distributions, and probabilities. Students can create the tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tnshttps://education.ti.com/en/activity/detail/binomial-pdf-eye-color
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 tr...https://education.ti.com/en/activity/detail/binomial-experiments
Exploring Quadratic Equations
Students will stretch and translate the parabola given by y = x2 and determine the effects on the equation. Students will also explore finding the vertex and zeros of a parabola and relate them to the equation.https://education.ti.com/en/activity/detail/exploring-quadratic-equations
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...https://education.ti.com/en/activity/detail/assessing-normality
Volume by Cross Sections
Students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.https://education.ti.com/en/activity/detail/volume-by-cross-sections_1
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
Is it Rare?
Students use the Poisson distribution to determine the probabilities for various numbers of hurricanes hitting the United States in a given year. Students will also explore the graph of the Poisson distribution and how it behaves.https://education.ti.com/en/activity/detail/is-it-rare_1
Independence Is the Word
Students use a simulation to find the experimental probability of independent events. They will find the sample space and then compare the experimental and theoretical probabilities.https://education.ti.com/en/activity/detail/independence-is-the-word
Simple Harmonic Motion
With an example of the motion of a child on a swing, the activity begins with the trigonometric function between time and displacement and differentiates up to acceleration.https://education.ti.com/en/activity/detail/simple-harmonic-motion_1
Solids of Revolution
Students will investigate 3D visualizations of volumes created by rotating a function about the x-or y-axis. They will understand the concept and reason for the volume formula in order to be prepared for generalizations. Students will solve the definite integral by hand using the fundamental theo...https://education.ti.com/en/activity/detail/solids-of-revolution
Makin' It Through The Winter
Students simulate a binomial distribution and calculate probabilities for a variety of situations involving binomial probability distributions.https://education.ti.com/en/activity/detail/makin-it-through-the-winter_1
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
It's To Be Expected
Students use a tree diagram to find theoretical probabilities and use this information in a spreadsheet to find the expected value.https://education.ti.com/en/activity/detail/its-to-be-expected_1
Resampling
This lesson involves approximate sampling distributions obtained from simulations based directly on a single sample. The focus of the lesson is on conducting hypothesis tests in situations for which the conditions of more traditional methods are not met.https://education.ti.com/en/activity/detail/resampling
Transforming Univariate Data
This lesson involves square root, logarithmic, square, and exponentiation transformations of skewed univariate data using a given data set.https://education.ti.com/en/activity/detail/transforming-univariate-data
How Many?
Students will explore Bernoulli probabilities. They will use them to calculate the probabilities of various single and cumulative events. They will also explore the Bernoulli probability distribution.https://education.ti.com/en/activity/detail/how-many
Transforming Relationships
In this activity, students will assess the strength of a linear relationship using a residual plot. They will also calculate the correlation coefficient and coefficient of determination to assess the data set. Students will then learn to transform one or two variables in the relationship to creat...https://education.ti.com/en/activity/detail/transforming-relationships_1
Why t?
This lesson involves examining the variability of individual elements and their related standardized test statistics when those elements are drawn randomly from a given normally-distributed population.https://education.ti.com/en/activity/detail/why-t
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices_1
What’s Normal, Anyway?
In this activity, students explore the normal distribution and several of its most interesting properties. First, they use a histogram of data from a binomial experiment to examine the general shape of a normal curve. Then, they use a dynamic illustration to make observations, using sliders to ch...https://education.ti.com/en/activity/detail/whats-normal-anyway
Population Mean: σ unknown
Students calculate confidence intervals to estimate the true population mean when the standard deviation of the population is not known.https://education.ti.com/en/activity/detail/population-mean-σ-unknown
Normal Probability Plot
This lesson involves creating a normal probability plot for several data sets involving height to examine the appearance of such plots when the distribution is approximately normal.https://education.ti.com/en/activity/detail/normal-probability-plot