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
Exploring Asymptotes
In this activity, students will explore asymptotes and singularities, paying particular attention to the connection between the algebraic and graphical representations.https://education.ti.com/en/activity/detail/exploring-asymptotes
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
Rectangle and Trapezoid Approximations to Definite Integrals
Use visual representation of area estimation methods in order to determine which is most accurate.https://education.ti.com/en/activity/detail/trapezoid-and-midpoint-rules
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
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
Difference in Means
This activity involves investigating whether a difference really seems to exist between two sample means.https://education.ti.com/en/activity/detail/difference-in-means
Investigating Correlation
This lesson involves investigating the connection between the scatterplot of bivariate data and the numerical value of the correlation coefficient.https://education.ti.com/en/activity/detail/investigating-correlation
Introduction to the Central Limit Theorem
Students discover the Central Limit Theorem by simulating rolls of two, four, and seven number cubes via the random number generator.https://education.ti.com/en/activity/detail/introduction-to-the-central-limit-theorem_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
Slope Fields Forever
Dynamically explore a particular solution to a differential equation for different initial conditions and investigate slope fields.https://education.ti.com/en/activity/detail/slope-fields-forever_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
Hypothesis Testing: Means
Students test a claim about a mean with a large sample size using the test statistic and the critical value. They also find the area under the curve to find the p value. Then, students will see how the result would change if they used a one-percent significance level or smaller sample size. An op...https://education.ti.com/en/activity/detail/hypothesis-testing-means_1
Sequences
Graphically evaluate the limit of a sequence.https://education.ti.com/en/activity/detail/sequences
Second Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its second derivative.https://education.ti.com/en/activity/detail/second-derivative-grapher
Taylor Polynomials with CAS
Powerful tool for discussing graphs of Taylor polynomials.https://education.ti.com/en/activity/detail/taylor-polynomials
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
Somewhere in the Middle
In this activity, students will explore the Mean Value Theorem. Students will find out when the tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the MVT. Students will also test functions where the hy...https://education.ti.com/en/activity/detail/somewhere-in-the-middle_1
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
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
Trend or Noise?
This lesson involves investigating aspects of statistical information reported in the media or other venues, aspects that are often misunderstood by those unfamiliar with sampling.https://education.ti.com/en/activity/detail/trend-or-noise
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
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