Trigonometry: What's My Move?
This can be used as a discovery or review activity for students to learn the various transformations of a trigonometric curve in the form of y=AcosB(x-C)+D.https://education.ti.com/en/activity/detail/trigonometry-whats-my-move
Wrapping Functions
This activity introduces students to various functions of a circular angle. They are shown a unit circle and a point P that can be dragged around the circle. As the point is dragged, different measures are captured, including angle measures, linear distance, and the area of a sector. The activity...https://education.ti.com/en/activity/detail/wrapping-functions
Math Man On The Slopes
In this activity, students will practice identifying slopes with informal pictures, and can self-check their understanding with one of the measurement tools. The students will also identify the slope and intercept of a given graph and will choose the correct equation in a multiple choice format.https://education.ti.com/en/activity/detail/math-man-on-the-slopes_1
Slope and Tangent
This lesson provides opportunities for students to explore the connections between the slope of a line and the tangent of the angle between the line and the horizontal.https://education.ti.com/en/activity/detail/slope-and-tangent
Focus/Directrix Definition of Conics
This lesson involves observing and describing relationships between the focus and the directrix of each conic: parabolas, ellipses, and hyperbolas.https://education.ti.com/en/activity/detail/focusdirectrix-definition-of-conics
Graphing the Tangent to a Curve
Students will graph a function and the graph of the tangent line's slope as a point moves around the curve.https://education.ti.com/en/activity/detail/graphing-the-tangent-to-a-curve
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
Horizontal and Vertical Lines
Examine the vertical and horizontal changes when moving from one point to another on a line.https://education.ti.com/en/activity/detail/horizontal-and-vertical-lines
Parabola Construction
Students will construct a parabola using the focus and directrix definition. An extension problem has students explore how the location of the focus with respect to the directrix affects the shape of the parabola.https://education.ti.com/en/activity/detail/parabola-construction_1
Properties of Parabolas
This investigation offers an approach to show students the basic definition of a parabola as the locus of all points equidistant from a fixed point (focus) and a fixed line (directrix). Students will also interpret the equation for a parabola in vertex form and gain a visual understanding of a pa...https://education.ti.com/en/activity/detail/properties-of-parabolas
The Unit Circle
Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.https://education.ti.com/en/activity/detail/the-unit-circle
Matrix Inverses
Modify a 2 X 2 matrix being multiplied by another 2 X 2 matrix until their product is the identity matrix.https://education.ti.com/en/activity/detail/matrix-inverses
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
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
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
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
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
Extraneous Solutions
Discover solutions of radical equations and investigate extraneous solutions.https://education.ti.com/en/activity/detail/extraneous-solutions
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
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
Birthday Problem
Investigate the probability of two people having the same birthday in a crowd of a given size.https://education.ti.com/en/activity/detail/birthday-problem
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 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
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