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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

Laws of Sines and Cosines - IB

Students explore the proofs of the Laws of Sine and Cosine, investigate various cases where they are utilized, and apply them to solve problems.
https://education.ti.com/en/activity/detail/laws-of-sines-and-cosines_ns_ib

Polar Point Plotting

The student will be given a brief overview of the Polar Coordinate system. Students will be able to manipulate the radius of a polar point while graphing it on the plane or manipulate the angle and see the polar coordinate graphed on the plane. This activity is meant as an introduction to polar p...
https://education.ti.com/en/activity/detail/polar-point-plotting

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

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

Systems of Linear Inequalities 1

Solutions to a system of linear inequalities is the intersection of each of the corresponding half planes.
https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-1

Matrix Multiplication

Examine matrix multiplication to identify the conditions necessary to be able to multiply two matrices.
https://education.ti.com/en/activity/detail/matrix-multiplication

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

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

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

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 Inequalities

Linear programming is a technique used to solve problems that are encountered in business and industry. These problems usually involve maximizing or minimizing profit or expenses. The solution will consist of graphing the region that satisfies all the inequalities. The solution will produce a fea...
https://education.ti.com/en/activity/detail/linear-inequalities

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

Discriminant Testing

Discover the relationship between the value of the discriminant and the nature of the roots of quadratic functions.
https://education.ti.com/en/activity/detail/discriminant-testing

Constructing an Ellipse

Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at th...
https://education.ti.com/en/activity/detail/constructing-an-ellipse_1