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
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
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
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
Graphs of Polynomial Functions
The activity begins by having students compare functions to introduce the concept of end behavior. Then they graph cubics and quartics, noting the respective end behaviors for positive and negative leading coefficients. Finally, they compare quadratics to quartics and cubics to quintics to discov...https://education.ti.com/en/activity/detail/graphs-of-polynomial-functions
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
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
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
Looking Normal
This lesson involves examining multiple samples taken from a single approximately normal population.https://education.ti.com/en/activity/detail/looking-normal
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
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
Too Many Choices!
Students investigate the fundamental counting principle, permutations, and combinations.https://education.ti.com/en/activity/detail/too-many-choices_1
Normal Probability Plot
This lesson involves creating a normal probability plot for several data sets involving height to examine the appearance of such plots when the distribution is approximately normal.https://education.ti.com/en/activity/detail/normal-probability-plot
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
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
Can You Make My Graph?
Students are to find the equations of graphs of trigonometric functions (using sine and cosine) and will also identify values for the amplitude, period, phase shift, and vertical shift. This activity is a modified version of the activity "What's the Equation?" originally made by Lauren Jensen.https://education.ti.com/en/activity/detail/can-you-make-my-graph
Multiplicity of Zeros of Functions
Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the d...https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions
Multiplication & Division of Functions
Students will determine the resulting functions produced from the multiplication and division of two functions. They will explore the graphical representation of the resulting function and support their algebraic solution by determining if the graphs coincide. Additionally, students will evaluate...https://education.ti.com/en/activity/detail/multiplication--division-of-functions
Modeling Situations Using Piecewise Functions
In this activity, the students use piecewise functions to describe and model everyday situations.https://education.ti.com/en/activity/detail/modeling-situations-using-piecewise-functions