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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

Quadratic Formula and Discriminant

This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...
https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant

Rational Roots of Polynomial Functions

In this activity, students apply the Rational Root Theorem in determining the rational roots of 4 polynomial functions. Results of the application of the theorem are compared to results obtained graphically to identify the presence of irrational roots.
https://education.ti.com/en/activity/detail/rational-roots-of-polynomial-functions

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

Compositions Graphically

Students will use graphs and tables to find compositions of functions. Two of the compositions presented in this activity represent real-world situations, which should aid in students understanding the concept of compositions.
https://education.ti.com/en/activity/detail/compositions-graphically

Composition of Functions

Students will determine the resulting functions produced from the composition of two functions. They will explore the graphical representation of the resulting function and support the algebraic solution by determining if the graphs coincide. Additionally, students will evaluate two points using ...
https://education.ti.com/en/activity/detail/composition-of-functions

Complex Numbers

Students calculate problems from the student worksheet to determine the rules for adding, subtracting, multiplying, and dividing complex numbers.
https://education.ti.com/en/activity/detail/complex-numbers_1

Complex Numbers: Plotting and Polar Form

This activity is designed for students who have had prior experience with complex numbers. They first refresh their memories of basic operations with complex numbers. Students then learn to plot complex numbers. Students learn the basics of writing complex numbers in their polar forms and compari...
https://education.ti.com/en/activity/detail/complex-numbers-plotting-and-polar-form

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

Calculations at the Crazy Cookie Company

Performing matrix multiplication for the first time, students are prompted to use reasoning skills to determine if matrix products are possible for given pairs of matrices. The tutorial leads them through matrix product operations to find rules for matrix multiplication and predicting dimensions ...
https://education.ti.com/en/activity/detail/calculations-at-the-crazy-cookie-company

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

Why is the Sky Blue and When Will We Ever Use This?

Have you ever tried to come up with a real life example for a rational function with an exponent to the negative four? Have you ever wondered why the sky is blue? Here is a short example of the uses of a rational function.
https://education.ti.com/en/activity/detail/why-is-the-sky-blue-and-when-will-we-ever-use-this

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

When Is Tangent, tangent?

This activity combines the ideas of unit circle, and a line tangent to the unit circle to explain how Tangent (the trig. ratio) is related to the concept of tangent to a figure (from geometry). The intent is to briefly explore the mathematical history of the trigonometric ratio "tangent" through ...
https://education.ti.com/en/activity/detail/when-is-tangent-tangent

Advanced Algebra Nomograph

This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...
https://education.ti.com/en/activity/detail/advanced-algebra-nomograph

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

Complex Number Addition

This lesson involves the addition of two complex numbers.
https://education.ti.com/en/activity/detail/complex-number-addition

Inverse of Two Temps

Students find a conversion equation that will calculate the corresponding Celsius temperature for any given Fahrenheit temperature. Students learn to graph scatter plots, analyze and graph linear equations, compute and model slope, derive and apply a conversion equation, and analyze inverse relat...
https://education.ti.com/en/activity/detail/inverse-of-two-temps

Vernier - Freezing and Melting of Water

In this experiment, the cooling and warming behavior of a familiar substance, water, will be investigated. By examining graphs of the data, the freezing and melting temperatures of water will be determined and compared.
https://education.ti.com/en/activity/detail/vernier--freezing-and-melting-of-water_1