Investigating Logistic Functions and Applications
Students will investigate the graphs of logistic functions, function characteristics, and solving logistic equations in Problem 1. Application problems that are modeled by logistic functions are completed in Problem 2-4. This activity is appropriate for Algebra II or Precalculus.https://education.ti.com/en/activity/detail/investigating-logistic-functions-and-applications
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_1
Law of Sines
Students will investigate all the cases in which the Law of Sines can be used to solve a triangle. An animation is provided in the lesson which will help students to gain a better understanding of the ambiguous case SSA.https://education.ti.com/en/activity/detail/law-of-sines_1
Law of Sines: The Ambiguous Case
A simple model is used to illustrate the various possibilities of the ambiguous case of the Law of Sines. Students manipulate the model to create each of the possible cases and then make conjectures about the relationship between the various given measurements and the number of possible triangle...https://education.ti.com/en/activity/detail/law-of-sines-the-ambiguous-case
Verifying Trigonometric Identities
The student will look at the different tools needed to verify trigonometric identitites including reciprocals, cofunctions, quotient, and Pythagorean identities. Students will also be introduced to the "Hexagon".https://education.ti.com/en/activity/detail/verifying-trigonometric-identities
It's All About Food Activity
This is a follow up activity to You Are What You Eat where students are comparing estimated calories versus actual calories and making conjectures based on their scatterplot graphs.https://education.ti.com/en/activity/detail/its-all-about-food-activity
Graphing Quadratic Functions
Students graph quadratic functions and study how the variables in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs.https://education.ti.com/en/activity/detail/graphing-quadratic-functions
Graph Sine and Cosine
Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...https://education.ti.com/en/activity/detail/graph-sine-and-cosine
Properties of Logarithms - IB
In this activity, students will compare logarithmic properties to their exponential counterparts.https://education.ti.com/en/activity/detail/properties-of-logarithms
Permutations & Combinations
Students explore permutations and combinations by arranging letters when order does and does not make a difference.https://education.ti.com/en/activity/detail/permutations--combinations_1
The Slope of the Curve Where Two Points Meet
Students will enter a function and investigate the slope of the secant as it moves closer to becoming a tangent.https://education.ti.com/en/activity/detail/the-slope-of-the-curve-where-two-points-meet
Parameters in Secondary School: Logistics Functions
Designed for prospective secondary mathematics teachers, this activity has students predict, test and justify the effects of changing parameters d and b for the logistic function family given by f(x) = a/(1+b(e)^(cx)) + d. Reflection questions draw attention to the role of claims and evidence, in...https://education.ti.com/en/activity/detail/parameters-in-secondary-school-logistics-functions
The Function Elevator
This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.https://education.ti.com/en/activity/detail/the-function-elevator
Remember When
In this activity, students will model the relationship between the year and average income, average price of a house, and average price of a car using exponential functions. Then students will answer questions related to the models to gain a deeper understanding of exponential functions.https://education.ti.com/en/activity/detail/remember-when
Compound Interest
This lesson involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.https://education.ti.com/en/activity/detail/compound-interest
NASA - Newton's Cool in the Pool
To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in...https://education.ti.com/en/activity/detail/nasa--newtons-cool-in-the-pool
Have You Lost Your Marbles?
In this activity, students will create a bridge between two chairs and use a slinky to attach a bucket to the bridge. Students will add objects to the bucket and determine the relationship between the number of items added and the distance from the floor.https://education.ti.com/en/activity/detail/have-you-lost-your-marbles
Completing the Square Algebraically
Complete the square algebraically to rewrite a quadratic expression.https://education.ti.com/en/activity/detail/completing-the-square-algebraically
Completing the Square
Complete the square in an algebraic expression.https://education.ti.com/en/activity/detail/completing-the-square
Combinations
This activity introduces students to combinations. They derive the formula for the number of combinations of n objects taken r at a time by starting with a list of permutations and eliminating those that name the same group, just in a different order. From here they see how the number of combinat...https://education.ti.com/en/activity/detail/combinations
Living on the Edge
Students build a solution to a rather complex problem: Finding the edge length of an octahedron given its volume by solving two simpler problems first.https://education.ti.com/en/activity/detail/living-on-the-edge_1
Application of Function Composition
Determine the domain and range of two functions and the composite functions.https://education.ti.com/en/activity/detail/application-of-function-composition
Exponential vs. Power
Compare rates of growth between an exponential function and a power function for positive x-values.https://education.ti.com/en/activity/detail/exponential-vs--power
Function Composition
Explore the composition of a linear and a quadratic function.https://education.ti.com/en/activity/detail/function-composition
Complex Number Multiplication
This lesson involves the product of complex numbers, powers of i and complex conjugates.https://education.ti.com/en/activity/detail/complex-number-multiplication