Max Area, Fixed Perimeter
The student will use a rectangle of fixed perimeter to find the dimensions of the rectangle of maximum area.https://education.ti.com/en/activity/detail/max-area-fixed-perimeter
Completing the Square
Complete the square in an algebraic expression.https://education.ti.com/en/activity/detail/completing-the-square
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
Dilations with Matrices
In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.https://education.ti.com/en/activity/detail/dilations-with-matrices_1
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
Application of Polynomials
Students use the volume formula to find cubic polynomials in order to determine the dimensions of four different-size boxes used for packaging trash bags.https://education.ti.com/en/activity/detail/application-of-polynomials
Application of Linear Systems
Students will solve a real-world problem about parking cars and buses using a system of linear inequalities.https://education.ti.com/en/activity/detail/application-of-linear-systems
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
Analyzing an Electricity Bill
This investigation guides the students through using a piecewise function to model an electric bill.https://education.ti.com/en/activity/detail/analyzing-an-electricity-bill
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
Watch Your P' and Q's
Students use the Rational Zero Theorem to find all rational zeros of a polynomial.https://education.ti.com/en/activity/detail/watch-your-p-and-qs
The Park Problem
The goal of this activity is for students to see a real world application of a minimization problem. Students have to determine where to place a track inside a park to minimize the total distance of the track in Lazy Town.https://education.ti.com/en/activity/detail/the-park-problem
The Painted Cube
This lesson involves having the students hypothesize about the different relationships that exist between the size of the cube and the number of cubes that have paint on one, two, three, and zero faces. In order to help students visualize the problem, interlocking cubes could be made available.https://education.ti.com/en/activity/detail/the-painted-cube
Function Composition
Explore the composition of a linear and a quadratic function.https://education.ti.com/en/activity/detail/function-composition
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
Solving Systems of Equations Check
This is just a Nspire file that affords the teacher some flexibility in terms of approach. It consists of ten problems with simple substitution.https://education.ti.com/en/activity/detail/solving-systems-of-equations-check
Solve Systems of Equations Activity Part 2
This activity was created to try to make solving systems more engaging for students by using images from three major movies.https://education.ti.com/en/activity/detail/solve-systems-of-equations-activity-part-2
Solving Systems Using Pictures!
This activity consists of three separate problems where students have to use systems of linear equations to find the points of intersection of various objects.https://education.ti.com/en/activity/detail/solving-systems-using-pictures
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
End Behavior of Polynomial Functions
Students will use a slider to scroll through the graphs of power functions with a coefficient of positive and negative 1 and determine similarities and differences among the functions. Students will generalize the end-behavior properties of various power functions.https://education.ti.com/en/activity/detail/end-behavior-of-polynomial-functions
Radical Functions
Students use a nomograph to investigate functions defined by square roots. Nomographs consist of two or more parallel axes, one for inputs and another for outputs. Input, output pairs that belong to the function are graphed as corresponding points on the axes connected by a ray drawn from the inp...https://education.ti.com/en/activity/detail/radical-functions_1
Exploring the Cycloid Curve
The TI Nspire's animation feature is used to show how a point on a rotating circle creates the cycloid curve. Students then examine the parametric equation of the cycloid. Finally, students are tasked with going online to investigate the terms brachistochronous and tautochronous and their relat...https://education.ti.com/en/activity/detail/exploring-the-cycloid-curve