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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

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

Exponential Growth

The purpose of this exploration is to investigate properties of exponential functions including the relationship between the graphical and algebraic forms of the functions.
https://education.ti.com/en/activity/detail/exponential-growth

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

Interpreting R -squared

This lesson involves predicting values of a particular variable.
https://education.ti.com/en/activity/detail/interpreting-r-squared

Graphical Analysis

Students will analyze graphs of polynomials finding intervals over which the function is increasing or decreasing and positive or negative, as well as the function’s relative minimum and maximum values and x- and y-intercepts.
https://education.ti.com/en/activity/detail/graphical-analysis

The Area Between

Students will find the area between two curves while determining the required amount of concrete needed for a winding pathway and stepping stones.
https://education.ti.com/en/activity/detail/the-area-between_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

Influencing Regression

This lesson involves a least-squares regression line fit to a set of nine values.
https://education.ti.com/en/activity/detail/influencing-regression

How Many? (Precalculus)

Students will be presented a situation in which they must use linear programming to determine the optimum production level to maximize profits.
https://education.ti.com/en/activity/detail/how-many-precalculus

Influence and Outliers

In this activity, students will identify outliers that are influential with respect to the least-squares regression line. Students will describe the role of the location of a point relative to the other data in determining whether that point has influence on the least-squares regression line.
https://education.ti.com/en/activity/detail/influence-and-outliers

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

Slope Fields

Use a visual representation of the family of solutions to a differential equation.
https://education.ti.com/en/activity/detail/slope-fields

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

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

Secant/Tangent Line Connection

Students will explore a real situation by minimizing the distance between two points on a secant line; ultimately making a connection to the slope of the tangent line and the difference quotient. Students will explore this graphically, numerically, and analytically. An extension at the end allo...
https://education.ti.com/en/activity/detail/secanttangent-line-connection

Sign of the Derivative

Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.
https://education.ti.com/en/activity/detail/sign-of-the-derivative