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
Elliptical Orbits
This lesson involves generating equations of best fit for an ellipse.https://education.ti.com/en/activity/detail/elliptical-orbits
Inverse Fun
Investigate inverses of functions.https://education.ti.com/en/activity/detail/inverse-fun
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
Zeros of Polynomials
Students graph polynomials to determine the value and number of zeros for a given polynomial.https://education.ti.com/en/activity/detail/zeros-of-polynomials
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
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
Graphing Exponentials
Investigate the graphs of the family of exponential functions.https://education.ti.com/en/activity/detail/graphing-exponentials
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
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
Coded Messages
Determine the product of two matrices and calculate the inverse of the 2 X 2 matrix.https://education.ti.com/en/activity/detail/coded-messages
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
Dilations with Matrices
In this activity, students will use matrices to perform dilations centered at the origin of triangles. Students will explore the effect of the scale factor on the size relationship between the preimage and image of a polygon.https://education.ti.com/en/activity/detail/dilations-with-matrices_1
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
Exploring Power Functions 2
Investigate power functions by clicking on a slider.https://education.ti.com/en/activity/detail/exploring-power-functions-2
Exploring Power Functions 1
Examine the graphs of power functions with even and odd positive integer exponents.https://education.ti.com/en/activity/detail/exploring-power-functions-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
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
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
Exponential vs. Power
Compare rates of growth between an exponential function and a power function for positive x-values.https://education.ti.com/en/activity/detail/exponential-vs--power
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
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