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
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
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
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
Duckweed: Exponential Growth
Students will count the fronds of duckweed for nine days to observe the growth phase. Students will need one class period to start the experiment and one day for the final work and 15 minutes per day between start and finish.https://education.ti.com/en/activity/detail/duckweed--exponential-growth
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
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
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
Getting Ready for Quadratics
This activity is intended as a skill-building exercise to familiarize students with TI-Nspire skills they will need to work through a unit studying the properties of quadratic functions. The activity includes exercises on Creating a Scatter Plot, Finding a Curve of Best Fit, and Tracing a Function.https://education.ti.com/en/activity/detail/getting-ready-for-quadratics
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
Factoring Trinomials
Discover how the coefficients of a given trinomial affect the factors.https://education.ti.com/en/activity/detail/factoring-trinomials
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
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
Drawing Dynamic Vectors with NSpire
This is a "how to" file for drawing vectors with a split screen with NSpire.https://education.ti.com/en/activity/detail/drawing-dynamic-vectors-with-nspire
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
Elliptic Variations
This lesson involves exploring the curves that result from varying the defining conditions of an ellipse.https://education.ti.com/en/activity/detail/elliptic-variations
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
Equations of Parabolas
Students draw and measure lines and segments to discover properties of parabolas, specifically that the distance from any point on the parabola is equidistant to the focus and the directrix. They work with parabolas whose vertex is on the origin as well as off the origin and they also with parabo...https://education.ti.com/en/activity/detail/equations-of-parabolas
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
Roots of Radical Equations
In this activity, students will solve radical equations graphically. Several square and cubic root equations are given for students to graph and find intersections with the x-axis. Students will also use the distance formula to solve an extension problem.https://education.ti.com/en/activity/detail/roots-of-radical-equations
Polar Necessities
Students will graphically and algebraically find the slope of the tangent line at a point on a polar graph. Finding the area of a region of a polar curve will be determined using the area formula.https://education.ti.com/en/activity/detail/polar-necessities