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Proof of Identity

Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.
https://education.ti.com/en/activity/detail/proof-of-identity_1

Power Function Inverses

Examine the graphs of power functions with even and odd integer powers.
https://education.ti.com/en/activity/detail/power-function-inverses

Polynomials: Factors, Roots and Zeroes

Investigate graphical and algebraic representations of a polynomial function and its linear factors.
https://education.ti.com/en/activity/detail/polynomials-factors-roots-and-zeroes

Parabolic Paths

Manipulate the equation of a quadratic function so that its graph passes through a particular point.
https://education.ti.com/en/activity/detail/parabolic-paths

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

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

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

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 2

Examine the graphical and algebraic representations of a system of inequalities.
https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-2

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

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

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

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

Graph Logarithms

Investigate the graphs of a family of logarithm functions by changing the a-value over the internal 0 to 4.
https://education.ti.com/en/activity/detail/graph-logarithms

Transformations: Translating Functions

Translate different types of function graphs using sliders.
https://education.ti.com/en/activity/detail/transformations-translating-functions

Exploring Power Functions 1

Examine the graphs of power functions with even and odd positive integer exponents.
https://education.ti.com/en/activity/detail/exploring-power-functions-1

Given the Graph of a Parabola, State its Equation in Vertex Form

This activity is designed for students to study on their own. It is designed in a 'StudyCard' format. A graph of a parabola will be shown. The student is asked to find the equation of the parabola in vertex form: y = a*(x - h)^(2) + v. Press enter on the double up arrow in the Ans... section t...
https://education.ti.com/en/activity/detail/given-the-graph-of-a-parabola-state-its-equation-in-vertex-form

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

G11 - Math Linear Ineaqualities

تمثيل المتباينات الخطية ومتباينات القيمة المطلقة بيانياً Graphing Linear and Absolute Value Inequalities
https://education.ti.com/en/activity/detail/g11--math-linear-ineaqualities

Functions and Inverses

Grab and drag a point along graphs of different functions to determine the relationship of ordered pairs.
https://education.ti.com/en/activity/detail/functions-and-inverses

Vertex and Factored Form of Quadratic Functions

Determine the effect of parameters have upon the graph of the quadratic function in vertex and factored form.
https://education.ti.com/en/activity/detail/vertex-and-factored-form-of-quadratic-functions

Families of Functions

Change sliders and observe the effects on the graphs of the functions.
https://education.ti.com/en/activity/detail/families-of-functions

Solving Systems of Linear Equations from Four Perspectives

Using the on-screen directions and the more detailed directions here, students will investigate four ways to solve systems of linear equations: graphically, numerically, with a data table and by matrices. Some prior familiarity with the basic functions of the TI-nspire CAS is needed. Students sho...
https://education.ti.com/en/activity/detail/solving-systems-of-linear-equations-from-four-perspectives