Rational Functions
Students investigate the graphs of functions of the form y = 1/(x - a). They will discover that the graph of such a function has a vertical asymptote at x = a, and a horizontal asymptote at y = 0. They will investigate the graphic and numeric consequences of such asymptotic behavior by observing ...https://education.ti.com/en/activity/detail/rational-functions_2
Evaluating Logarithms
In problem 1, students explore the logarithm (base 10) function and compare the functions y = 10x and y = log 10x first through a table of values, then through a graph. In problem 2, students explore logarithms with other bases via tables, graphs, the calculator application and the change of base...https://education.ti.com/en/activity/detail/evaluating-logarithms
Applications of Domain and Range
Determine domain and range in real-world situations. Writing and graphing equations to model problems. Recognize the meaning of domain and range in the real-world situations.https://education.ti.com/en/activity/detail/applications-of-domain-and-range
An Application of Parabolas
Students discover how the parameters of an equation of a parabola affect its graph and affect a real-world problem.https://education.ti.com/en/activity/detail/an-application-of-parabolas
Around the Vertex in 80 Days
Students move a quadratic function in the coordinate plane to specific points to observe how the vertex form of the equation changes.https://education.ti.com/en/activity/detail/around-the-vertex-in-80-days
Constant of Variation
Students explore how the constant of variation, k, affects the graph of direct and inverse variations.https://education.ti.com/en/activity/detail/constant-of-variation
Limacon Curve
In this activity, students will observe different graphs of polar limaçon curves. Students will discover four different types of limaçon curves and their relationship to the ratio of a to b.https://education.ti.com/en/activity/detail/limacon-curve
Investigating the Derivatives of Some Common Functions
In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a function. They gather evidence toward some common derivative for...https://education.ti.com/en/activity/detail/investigating-the-derivatives-of-some-common-functions
Graphing Relationships
In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn that the second derivative is positive when the graph is con...https://education.ti.com/en/activity/detail/graphing-relationships
Order Pears
In this activity, students will interactively investigate ordered pairs. They will graphically explore the coordinates of a point on a Cartesian plane, identifying characteristics of a point corresponding to the coordinate. Students will plot ordered pairs of a function, list these in a table of ...https://education.ti.com/en/activity/detail/order-pears_1
The Box Method
Students discover how to factor a quadratic function using the Box Method.https://education.ti.com/en/activity/detail/the-box-method
Closure Tables
In this activity, students create and complete closure tables to determine if the sets of whole numbers, integers, even numbers, and odd numbers are closed under the operations of addition, subtraction, multiplication, and division.https://education.ti.com/en/activity/detail/closure-tables
The Dirty Dawg Salon
In this activity, students will work through a scenario of a business venture involving washing dogs. They will translate fixed and variable costs to a cost function and make a decision about how much to charge to wash per dog. When the break-even point is found, students must interpret it to ans...https://education.ti.com/en/activity/detail/the-dirty-dawg-salon
Bewildered Babies
Students test the limits of the combinations formula by applying it to a labeling situation. After making charts and using logic to list possible label arrangements, students compare their results with the output of the combinations formula and nCr command.https://education.ti.com/en/activity/detail/bewildered-babies_1
What Is My Rule?
This activity encourages students to gain experience with the language of the Cartesian coordinate system. Each of the problems shows two points, z and w. Point z can be dragged, and point w moves in response. In describing the rule that governs the location of point w, students will most likely ...https://education.ti.com/en/activity/detail/what-is-my-rule
Points on a Line
The Points on a Line activity is intended to develop student understanding of slope of a line. This activity is based on the concept of vertical change and horizontal change when moving between two points on a line. Students will perform an action on the TNS file and observe the consequences of ...https://education.ti.com/en/activity/detail/points-on-a-line
The Triangular Box Problem (and Extension)
Student will discover the relationship between the height of a box with a triangular base and its volume and student will find the height that will produce the maximum volume of the open-topped box.https://education.ti.com/en/activity/detail/the-triangular-box-problem-and-extension
Application of Slopes
Students will apply the concept of slope to a real-world problem about building a staircase. They will use the slope ratio, vertical change over horizontal change, to find the slope of staircase. Then, students will recognize how a positive or negative slope applies in a real-world situation.https://education.ti.com/en/activity/detail/application-of-slopes
Common Denominator
In this activity, students will use an interactive model that multiplies the fraction by "1" to help determine the common denominator. Then they will use what they have learned to add and subtract fractions without the same denominators.https://education.ti.com/en/activity/detail/common-denominator_1
Families of Rectangles
Students create a family of similar rectangles and then write the equation of the curve that will connect the upper-right vertex of each rectangle. Students will then create a family of rectangles that have the same area and will write the equation of the curve that connects the upper-right verti...https://education.ti.com/en/activity/detail/families-of-rectangles
Triangles and Slope - Is the Triangle Possible?
Students will construct triangles that match specific criteria. If it is possible to construct the triangle, the students have to construct the triangle and state the slope of each side. If the triangle is impossible to construct, the students must write a detailed explanation as to why it is im...https://education.ti.com/en/activity/detail/triangles-and-slope--is-the-triangle-possible