Sine and Cosine Identities
Students will explore the relationship between the measure of an angle and its sine and cosine. Students will develop two trigonometric identities: sinA / cosA= tanA sin2A + cos2A = 1https://education.ti.com/en/activity/detail/sine-and-cosine-identities
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
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
Summing up Geometric Series
This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.https://education.ti.com/en/activity/detail/sum-of-infinite-geometric-series
Matrix Multiplication
Examine matrix multiplication to identify the conditions necessary to be able to multiply two matrices.https://education.ti.com/en/activity/detail/matrix-multiplication
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
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
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
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
Transformations: Translating Functions
Translate different types of function graphs using sliders.https://education.ti.com/en/activity/detail/transformations-translating-functions
Exploring Power Functions 2
Investigate power functions by clicking on a slider.https://education.ti.com/en/activity/detail/exploring-power-functions-2
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
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
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
Families of Functions
Change sliders and observe the effects on the graphs of the functions.https://education.ti.com/en/activity/detail/families-of-functions
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
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
Introduction to CAS. Adding polynomials, solving equations, factoring trinomials, expanding
This series of activities provides an introduction to some Algebra concelpts using CAS. The activities start with Algebra tiles and CAS. Patterning is modelled for the students so that they can construct the knowledge rather than be given a set of rules. The activities look at adding and subtr...https://education.ti.com/en/activity/detail/introduction-to-cas--adding-polynomials-solving-equations-factoring-trinomials-expanding
Domain and Range 2
Identify the domain and range of a relation from its graph.https://education.ti.com/en/activity/detail/domain-and-range-2
Martinsville Chase
In this activity, students will analyze attaching a wing to a Sprint Cup car.https://education.ti.com/en/activity/detail/martinsville-chase
Which Fish?
In this lesson, students learn about basic fish biology and will identify a variety of fish species.https://education.ti.com/en/activity/detail/which-fish
Molecular Titration
In this lesson, students explore a simulation of a pH titration that includes a molecular view of the chemical changes that occur as a strong base (NaOH) is added to a beaker containing a strong acid (HCl) solution.https://education.ti.com/en/activity/detail/molecular-titration