The First Fundamental Theorem of Calculus
Make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus
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
The Mean Value Theorem
Students are presented with a several examples of functions to discover the hypotheses and conclusion of the Mean Value theorem. They will explore the concept of continuity and differentiability as related to the Mean Value Theorem.https://education.ti.com/en/activity/detail/the-mean-value-theorem
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
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
Velocity, Position, Distance
Work with linked representations of the horizontal motion of an object.https://education.ti.com/en/activity/detail/velocity-position-distance
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
Slopes of Secant Lines
Collect data about the slope of a secant line and then predict the value of the slope of the tangent line.https://education.ti.com/en/activity/detail/slopes-of-secant-lines
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
Margin of Error and Sample Size
This activity investigates the margin of error for a confidence interval and the relationship between sample size and the margin of error.https://education.ti.com/en/activity/detail/margin-of-error-and-sample-size
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
Olympic Gold (Regression Wisdom)
This activity takes a deeper look into the use of linear regressions. It addresses some of the limitations and common mistakes encountered with regressions.https://education.ti.com/en/activity/detail/olympic-gold-regression-wisdom
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
Percentiles
The goal of this activity is for students to use the area to the left of a value in a normal distribution to find its percentile. The process will then be reversed to find the value for a given percentile.https://education.ti.com/en/activity/detail/percentiles_ib_ns
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
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
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
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
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