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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

Elliptical Orbits

This lesson involves generating equations of best fit for an ellipse.
https://education.ti.com/en/activity/detail/elliptical-orbits

Inverse Fun

Investigate inverses of functions.
https://education.ti.com/en/activity/detail/inverse-fun

Standard Form of Quadratic Functions

Use sliders to determine the effect the parameters have upon a quadratic function in standard form.
https://education.ti.com/en/activity/detail/standard-form-of-quadratic-functions

How Many Solutions 2

Recognize that a system of two equations in two variables can have no solution, one or more solutions, or infinitely many solutions.
https://education.ti.com/en/activity/detail/how-many-solutions-2

Zeros of Polynomials

Students graph polynomials to determine the value and number of zeros for a given polynomial.
https://education.ti.com/en/activity/detail/zeros-of-polynomials

Modeling Engine Power

In this activity, students use the TI-Nspire handheld to determine if a linear model or a quadratic model best fits a set of given data involving engine power. Students look at the pattern of data points and the sum of squares of the deviations to determine which model fits the data.
https://education.ti.com/en/activity/detail/modeling-engine-power

Hose Problem

Investigating the behaviour of water jets from a hose. Suitable for Year 10 extension or Year 11 students. Graphing parabolas, features of quadratic functions, regression lines. Using TI-Nspire.
https://education.ti.com/en/activity/detail/hose-problem

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

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

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

Maximizing the Area of a Garden

In this activity, students explore the area of a garden with a rectangular shape that is attached to a barn. Exactly three sides of the garden must be fenced. Students will sketch possible gardens and enter their data into a spreadsheet.
https://education.ti.com/en/activity/detail/maximizing-the-area-of-a-garden

Graphing Exponentials

Investigate the graphs of the family of exponential functions.
https://education.ti.com/en/activity/detail/graphing-exponentials

Investigating the Graphs of Quadratic Equations

A graph of a quadratic equation will be shown. Also shown is the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. And an ordered pair for one the points on the parabola will be shown on the screen. Use the pointer tool to double click on the equation on the graph screen. This wil...
https://education.ti.com/en/activity/detail/investigating-the-graphs-of-quadratic-equations

Matrix Transformations

Grab vertices of a polygon undergoing reflections and rotations in the coordinate plane to determine the transformation’s type.
https://education.ti.com/en/activity/detail/matrix-transformations

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

Coded Messages

Determine the product of two matrices and calculate the inverse of the 2 X 2 matrix.
https://education.ti.com/en/activity/detail/coded-messages

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

Linear Systems and Calories

Set up and solve systems of equations.
https://education.ti.com/en/activity/detail/linear-systems-and-calories