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
Trigonometric Patterns
Students use the unit circle to examine patterns in the six trigonometric functions.https://education.ti.com/en/activity/detail/trigonometric-patterns@84
Higher Order Derivatives
Students calculate the second derivative of functions, inspect a graph and give the intervals for concave up and concave down and find the point of inflection.https://education.ti.com/en/activity/detail/higher-order-derivatives_1
Polly, Want Some Division?
In this activity, students will use polynomial calculations to determine quotients and remainders when performing polynomial division using CAS commands. The Remainder Theorem is introduced and applied to identify roots or zeros and to determine function values. Graphs are incorporated to visuall...https://education.ti.com/en/activity/detail/polly-want-some-division
Logarithmic Transformations of Data
This lesson involves three real-world data sets in which the relationship between each pair of variables is non-linear. Students will be asked to describe the original relationship between each pair of variables, and observe how each transformation is used to achieve a linear relationship.https://education.ti.com/en/activity/detail/logarithmic-transformations-of-data
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
Parametrizing the Unit Circle
The purpose of this activity is to use parametric equations to "unwrap" the unit circle. This process will allow students to obtain the graph of the function y = sin(x).https://education.ti.com/en/activity/detail/parametrizing-the-unit-circle
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
Accelerated Returns
Students compare periodic and continuous compounding and apply continuous compounding to a variety of problem situations.https://education.ti.com/en/activity/detail/accelerated-returns
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
Properties of an Ellipse
Students discover properties of an ellipse, such as the set of all points such that the sum of the distances from these points to two fixed points is constant.https://education.ti.com/en/activity/detail/properties-of-an-ellipse_1
It's a Parallelogram, You Say?
Students represent complex numbers in the complex plane as points or vectors and display the sum and difference of two complex numbers as diagonals of the parallelograms they define.https://education.ti.com/en/activity/detail/its-a-parallelogram-you-say
Exploring the Parabola
Students explore the key features of the parabola, both geometrically and algebraically.https://education.ti.com/en/activity/detail/exploring-the-parabola
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