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MVT for Integrals

Demonstrate how the average value of a function over an interval is related to the definite integral.
https://education.ti.com/en/activity/detail/mvt-for-integrals

The Second Fundamental Theorem of Calculus

Students make visual connections between a function and its definite integral.
https://education.ti.com/en/activity/detail/the-second-fundamental-theorem-of-calculus_1

Areas In Intervals

Students use several methods to determine the probability of a given normally distributed value being in a given interval. First, they use the Integral tool to find areas under the curve and to the left of given values. Students continue the activity to find probabilities for which the correspond...
https://education.ti.com/en/activity/detail/areas-in-intervals

Box Plots Introduction

This lesson involves representing distributions of data using box plots. The emphasis is on helping students understand the relationship between individual data values and the five-number summary. Students will move data within a dot plot and observe the changes within the corresponding box plot...
https://education.ti.com/en/activity/detail/box-plots-introduction

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_1

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

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.tns
https://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

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

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

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

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

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

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

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

Solids Of Revolution Between Two Curves

Students will investigate 3D visualizations of volumes created by rotating two functions 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 t...
https://education.ti.com/en/activity/detail/solids-of-revolution-between-two-curves

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

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

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

NASA - Maintaining Bone Mineral Density

In this activity students perform an appropriate test to determine the answer to the question "Is using the iRED exercise method significantly better than using the treadmill and bicycle in maintaining bone density?"
https://education.ti.com/en/activity/detail/nasa--maintaining-bone-mineral-density