MVT for Derivatives
The MVT relates the average rate of change of a function to an instantaneous rate of change.https://education.ti.com/en/activity/detail/mvt-for-derivatives
Breaking Up is Not Hard to Do
In this activity, students will split rational functions into sums of partial fractions. Graphing is utilized to verify accuracy of results and to support the understanding of functions being represented in multiple ways.https://education.ti.com/en/activity/detail/breaking-up-is-not-hard-to-do_1
Crossing the Asymptote
This lesson involves determining when the graph of a rational function crosses its horizontal asymptote.https://education.ti.com/en/activity/detail/crossing-the-asymptote
Investigation of End Behavior
Students explore end behavior of rational functions graphically, algebraically, and by using tables. They will use multiple representations to look at values a given function approaches as the independent variable goes to positive or negative infinity. Tools are provided which support them in usi...https://education.ti.com/en/activity/detail/investigation-of-end-behavior
Coin Toss
Students will run two experiments that simulate pouring out coins from a bag.https://education.ti.com/en/activity/detail/coin-toss_1
Identifying Sinusoidal Graphs
This lesson involves examining graphs, or partial graphs, of sinusoidal functions to determine the values of their parameters and to express them in various ways involving sine and cosine functions.https://education.ti.com/en/activity/detail/identifying-sinusoidal-graphs
Stay Tuned Lab Sound Waveform Models
In this activity, students' will record the sound waveform of a tuning fork and analyze the waveform to determine frequency, period and amplitude information. They will model the waveform using trigonometric functions. This activity has been modified for TI-Nspire with the data in the activity file.https://education.ti.com/en/activity/detail/stay-tuned-lab-sound-waveform-models
Transitions
Students will explore converting rectangular equations to polar form and vice versa. Familiar trigonometric identities and circle relationships are applied in making the conversions.https://education.ti.com/en/activity/detail/transitions_1
Trig Proofs
Students perform trigonometric proofs and verifying each proof through graphing.https://education.ti.com/en/activity/detail/trig-proofs
Can You Hear Me Now?
Students will explore logarithmic equations relating to sound intensity and pH.https://education.ti.com/en/activity/detail/can-you-hear-me-now
Let the Sun Shine
Students will explore daylights times of cities at different latitudes. They will create a scatterplot of the data and then find the cosine equation that matches the data. This should be worked in groups of 4, each student choosing a city of a different latitude. An extension at the end would ...https://education.ti.com/en/activity/detail/let-the-sun-shine
Two Models are Better than One
This lesson involves modeling the amount of carbon dioxide in the air over a 12-month period.https://education.ti.com/en/activity/detail/two-models-are-better-than-one
Trig Ratios - IB
Students will use the handheld to discover the relationship between the trigonometric functions: sine, cosine and tangent and the side length ratios of a right triangle.https://education.ti.com/en/activity/detail/trig-ratios_1
Sinusoidal Modeling
This lesson involves writing an equation to predict the average monthly temperature for a certain location based on past data.https://education.ti.com/en/activity/detail/sinusoidal-modeling
Reflective Property of Conics
This lesson involves investigating the properties of basic reflective principles of conics.https://education.ti.com/en/activity/detail/reflective-property-of-conics
Nonlinear Systems of Equations
Students will be introduced to nonlinear systems of equations. It begins by allowing students to move figures around the screen to see ways certain types of graphs (linear/conic and conic/conic) can intersect each other and how many possible intersection points are possible. The activity conclude...https://education.ti.com/en/activity/detail/nonlinear-systems-of-equations
Ride the Rollercoaster
Students use polynomial regression to develop and assess the fit of equations modeling data. The equation models are then evaluated for reasonableness in their use for extrapolating beyond the given data sets.https://education.ti.com/en/activity/detail/ride-the-rollercoaster
Cryptology and Matrices
This lesson involves using matrices to encode and decode a message.https://education.ti.com/en/activity/detail/cryptology-and-matrices
Coin Toss
Students will run two experiments that simulate pouring out coins from a bag.https://education.ti.com/en/activity/detail/coin-toss
Transitions
In this activity, students review some basic relationships relating to the unit circle and apply these relationships in the conversion of a rectangular circle equation to polar form.https://education.ti.com/en/activity/detail/transitions
Very Interesting
Students explore interest related to consumer loans, credit, and savings accounts.https://education.ti.com/en/activity/detail/very-interesting
Reduce It!
Students write augmented matrices for systems of equations and then solve the system by writing the augmented matrix in reduced row-echelon form.https://education.ti.com/en/activity/detail/reduce-it
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
Helicopter Bungee Jump
In this activity, students will observe a simulation of a record breaking bungee jump, consider a mathematical model of the height as a function of time, and take the derivative to determine points of interest like the minimum height, maximum velocity, acceleration, and maximum jerk. Students wil...https://education.ti.com/en/activity/detail/helicopter-bungee-jump_1
Exploring Linear Equations
Students will enter "life expectancy" data into lists and set up scatter plots and trace the scatter plot to select two points. Secondly, they will use the points to calculate slope and write a linear equation. Finally, they will use the Transformation Graphing App to fit the data using a linea...https://education.ti.com/en/activity/detail/exploring-linear-equations_2