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
Particle Motion1
This lesson involves the motion of a particle along a straight, horizontal line.https://education.ti.com/en/activity/detail/particle-motion1
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
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
Outbreak
Students explore a geometric sequence related to an outbreak of the flu, extrapolate to make predictions based on given data, and apply summation notation to determine the sum of any number of terms, n, in a series.https://education.ti.com/en/activity/detail/outbreak
Quadratic Functions and Stopping Distance
Analyze data in real-life applications of the quadratic function.https://education.ti.com/en/activity/detail/quadratic-functions-and-stopping-distance
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
NASA - Newton's Cool in the Pool
To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in...https://education.ti.com/en/activity/detail/nasa--newtons-cool-in-the-pool
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
Standard Form of Quadratic Functions
Use sliders to determine the effect the parameters have upon a quadratic function in standard form.https://education.ti.com/en/activity/detail/standard-form-of-quadratic-functions
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
Complex Numbers: Plotting and Polar Form
...Students then learn to plot complex numbers. Students learn the basics of writing complex numbers in their polar forms and comparing them to their rectangular form. Finally, students plot complex numbers in polar form by entering their modulus and arguments into a spreadsheet linked to a Graphs &...https://education.ti.com/en/activity/detail/complex-numbers-plotting-and-polar-form
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
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
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
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
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
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
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
Radio Station KTNS
This lesson involves determining the distance one can hear a radio station as a function of the range of the station.https://education.ti.com/en/activity/detail/radio-station-ktns
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