How Many Solutions to the System?
Understand the difference between systems that have one, infinitely many , or no solution.https://education.ti.com/en/activity/detail/how-many-solutions-to-the-system
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
Parabolic Paths
Manipulate the equation of a quadratic function so that its graph passes through a particular point.https://education.ti.com/en/activity/detail/parabolic-paths
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
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
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
Systems of Linear Inequalities 1
Solutions to a system of linear inequalities is the intersection of each of the corresponding half planes.https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-1
Sums and Difference of Cubes
Factor expressions that are either the sum of cubes or the difference of cubes.https://education.ti.com/en/activity/detail/sums-and-difference-of-cubes
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
How Many Solutions 2
Recognize that a system of two equations in two variables can have no solution, one or more solutions, or infinitely many solutions.https://education.ti.com/en/activity/detail/how-many-solutions-2
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
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
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
Vertex and Factored Form of Quadratic Functions
Determine the effect of parameters have upon the graph of the quadratic function in vertex and factored form.https://education.ti.com/en/activity/detail/vertex-and-factored-form-of-quadratic-functions
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
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
The Painted Cube
This lesson involves having the students hypothesize about the different relationships that exist between the size of the cube and the number of cubes that have paint on one, two, three, and zero faces. In order to help students visualize the problem, interlocking cubes could be made available.https://education.ti.com/en/activity/detail/the-painted-cube
Solving Systems of Equations Check
This is just a Nspire file that affords the teacher some flexibility in terms of approach. It consists of ten problems with simple substitution.https://education.ti.com/en/activity/detail/solving-systems-of-equations-check
Solving Systems Using Pictures!
This activity consists of three separate problems where students have to use systems of linear equations to find the points of intersection of various objects.https://education.ti.com/en/activity/detail/solving-systems-using-pictures
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
Elliptic Variations
This lesson involves exploring the curves that result from varying the defining conditions of an ellipse.https://education.ti.com/en/activity/detail/elliptic-variations