Paths of Rectangles
This exploration for preservice teachers, looks at how the lengths of the sides of rectangles with equal areas are related. The rectangles are constructed so that one vertex is at the origin. The path of the opposite vertex is an example of indirect variation and demonstrates a connection between...https://education.ti.com/en/activity/detail/paths-of-rectangles
Definite Integral
Make visual connections between the definite integral of a function and the signed area between the function and the x-axis.https://education.ti.com/en/activity/detail/definite-integral
Exploring Circle Equations
Students explore the equation of a circle. They will make the connection with the coordinates of the center of the circle and length of the radius to the corresponding parts of the equation. Then, students apply what they have learned to find the equation of the circles in several circular designs.https://education.ti.com/en/activity/detail/exploring-circle-equations_1
Constructing Regular Polygons - Angles of Rotational Symmetry
This activity is designed to be used with the Geometry textbook "Math Connections - 2B" p. 295: #4https://education.ti.com/en/activity/detail/constructing-regular-polygons--angles-of-rotational-symmetry
First Derivative Test
Visualize the connections between the first derivative of a function, critical points, and local extrema.https://education.ti.com/en/activity/detail/first-derivative-test
Medians in a Triangle
Students will study medians and some of their properties. A median of a triangle connects a vertex of the triangle with the midpoint of the opposite side.https://education.ti.com/en/activity/detail/medians-in-a-triangle
Understanding Slope
Make connections between the sign of the ratio of the vertical and horizontal change as they relate to the sign of the slope.https://education.ti.com/en/activity/detail/understanding-slope
Algebra Nomograph
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...https://education.ti.com/en/activity/detail/algebra-nomograph
Rates of Change and Slope
This lesson was designed for the Grade 10 Applied curriculum in Ontario. In that course, students are expected to connect the rate of change of a linear relationship to the slope of a line.https://education.ti.com/en/activity/detail/rates-of-change-and-slope
Intersecting the Solutions
In this teacher-led activity, students will learn to solve systems of equations graphically. They will learn the relationship between the algebraic and graphical solutions and create equations that draw upon this connection.https://education.ti.com/en/activity/detail/intersecting-the-solutions
The Second Fundamental Theorem of Calculus
Students make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-second-fundamental-theorem-of-calculus_1
The First Fundamental Theorem of Calculus
Make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus_1
The First Fundamental Theorem of Calculus
Make visual connections between a function and its definite integral.https://education.ti.com/en/activity/detail/the-first-fundamental-theorem-of-calculus
Exploring Asymptotes
In this activity, students will explore asymptotes and singularities, paying particular attention to the connection between the algebraic and graphical representations.https://education.ti.com/en/activity/detail/exploring-asymptotes
Exponentialis ~ Logarithmus
In this story-style activity, students work through a step-by-step review of solving exponential equations using logarithms. At first, they are guided through process of using logarithms and checking them, with the help of 'Terry Plotter the mathemagician'. Then, students review identities and pr...https://education.ti.com/en/activity/detail/exponentialis--logarithmus
Investigating Correlation
This lesson involves investigating the connection between the scatterplot of bivariate data and the numerical value of the correlation coefficient.https://education.ti.com/en/activity/detail/investigating-correlation
Secant/Tangent Line Connection
Students will explore a real situation by minimizing the distance between two points on a secant line; ultimately making a connection to the slope of the tangent line and the difference quotient. Students will explore this graphically, numerically, and analytically. An extension at the end allo...https://education.ti.com/en/activity/detail/secanttangent-line-connection
Sign of the Derivative
Make a connection between the sign of the derivative and the increasing or decreasing nature of the graph.https://education.ti.com/en/activity/detail/sign-of-the-derivative
Unit Circle
Students will use the unit circle to find the value of trigonometric functions of various angles. Students will find connections between the unit circle and the trigonometric functions sine and cosine.https://education.ti.com/en/activity/detail/unit-circle_2
Slope and Tangent
This lesson provides opportunities for students to explore the connections between the slope of a line and the tangent of the angle between the line and the horizontal.https://education.ti.com/en/activity/detail/slope-and-tangent
Graphs of Linear Functions
Students investigate the connections between the points on a line and the equation of the line written in slope-intercept form.https://education.ti.com/en/activity/detail/graphs-of-linear-functions
Advanced Algebra Nomograph
This activity is similar to a function machine. The nomograph is comprised of two vertical number lines, input on the left and output on the right. The transformation of input to output is illustrated dynamically by an arrow that connects a domain entry to its range value. Students try to find th...https://education.ti.com/en/activity/detail/advanced-algebra-nomograph
The Factor Connection
In this activity, students will explore the connection between linear factors and quadratic functions. Transformations of quadratic functions will be used to develop and enhance the connection between factors, zeros, and graphs. It will make full use of the dynamic ability to manipulate graphs...https://education.ti.com/en/activity/detail/the-factor-connection
Radical Functions
Students use a nomograph to investigate functions defined by square roots. Nomographs consist of two or more parallel axes, one for inputs and another for outputs. Input, output pairs that belong to the function are graphed as corresponding points on the axes connected by a ray drawn from the inp...https://education.ti.com/en/activity/detail/radical-functions_1
Creating a Midpoint Quad
Explore special outer and inner quadrilaterals formed by the connected midpoints and investigate the area relationships.https://education.ti.com/en/activity/detail/creating-a-midpoint-quad