Square it Up!
Students investigate the method of least squares by adding the squares to a scatter plot and moving a line to find the minimum sum. Then they compare their line to the built-in linear regression model.https://education.ti.com/en/activity/detail/square-it-up
Relating Rates - IB
Students are given a situation of water draining out of a cylindrical tank in order to explain the process of solving related rates questions.https://education.ti.com/en/activity/detail/relating-rates_1
Natural Logarithm
Construct the graph of the natural logarithm function from its definition.https://education.ti.com/en/activity/detail/natural-logarithm
Stretching the Quads
In this activity, 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/stretching-the-quads
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
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 num...https://education.ti.com/en/activity/detail/are-they-truly-random
Complex Roots: A Graphical Solution
In this activity, you will explore the relationship between the complex roots of a quadratic equation and the related parabola's graph.https://education.ti.com/en/activity/detail/complex-roots-a-graphical-solution
But What Do You Mean?
In this activity, students learn about the concept of mean or average, in addition to learning several ways to find the mean on the TI-Nspire handheld (including using a spreadsheet and the mean command). Students also use these methods to find the mean when given the frequencies of each number i...https://education.ti.com/en/activity/detail/but-what-do-you-mean
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 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
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 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
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
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 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
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
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 My Model?
Students will investigate several different regression models and determine which of the models makes the most sense, based upon a real-world situation (cooling a cup of hot chocolate).https://education.ti.com/en/activity/detail/whats-my-model
Re-Expressing Data
The students will learn to re-express data as a linear relationship even though the raw data does not fit a linear model. Students will learn important concepts involving data transformation and re-expression.https://education.ti.com/en/activity/detail/reexpressing-data
Comparing Linear and Exponential Functions
Compare data from two different scenarios -- linear and exponential growth.https://education.ti.com/en/activity/detail/comparing-linear-and-exponential-functions_1
Computing with Mathematical Formulas
Evaluate formulas for given values of a variable.https://education.ti.com/en/activity/detail/computing-with-mathematical-formulas
Cell Phone Range
Students will learn to identify the domain and range of various real-world step functions. They will graphically explore numerical data points and observe step functions. Open and closed points on a graph are investigated and discussed.https://education.ti.com/en/activity/detail/cell-phone-range_1