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
Hitting Homeruns
It is a study of the way a hit baseball moves through the air in the sense of using a quadratic function.https://education.ti.com/en/activity/detail/hitting-homeruns
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
Radical Transformations
Students will use sliders to examine how the square root function is transformed on the coordinate plane.https://education.ti.com/en/activity/detail/radical-transformations_1
The Ambiguous Case of the Sine Law
Investigation and practice of the Ambiguous Case of the Law of Sines using the TI-Nspire.https://education.ti.com/en/activity/detail/the-ambiguous-case-of-the-sine-law
Parameters in Secondary School: Logistics Functions
Designed for prospective secondary mathematics teachers, this activity has students predict, test and justify the effects of changing parameters d and b for the logistic function family given by f(x) = a/(1+b(e)^(cx)) + d. Reflection questions draw attention to the role of claims and evidence, in...https://education.ti.com/en/activity/detail/parameters-in-secondary-school-logistics-functions
Laws of Sines and Cosines - IB
Students explore the proofs of the Laws of Sine and Cosine, investigate various cases where they are utilized, and apply them to solve problems.https://education.ti.com/en/activity/detail/laws-of-sines-and-cosines_ns_ib
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
Quadratic Formula and Discriminant
This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant
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
Modeling with a Quadratic Function
In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.https://education.ti.com/en/activity/detail/modeling-with-a-quadratic-function
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
Areas of Polygons
Use determinants of matrices as a tool to find the areas of triangles and quadrilaterals.https://education.ti.com/en/activity/detail/areas-of-polygons
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
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
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
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
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
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
Graphic Designing with Transformed Functions
Create an image using transformed functions with restricted domains.https://education.ti.com/en/activity/detail/graphic-designing-with-transformed-functions