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Translating and Scaling Sine and Cosine Functions - Explore Math

Grades
11 to 12
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This activity, designed for advanced math classes such as 11-12 grade trigonometry, allows students to graph sine and cosine functions. Students can observe how amplitude, period,...more
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This activity, designed for advanced math classes such as 11-12 grade trigonometry, allows students to graph sine and cosine functions. Students can observe how amplitude, period, and frequency are related to both the graph and equations.

tag(s): charts and graphs (182)

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Translating and Scaling Functions - Explore Math

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11 to 12
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This activity, designed for advanced math classes such as 11-12 grade calculus, allows students to compare several graphs for quadratic functions. This is a good hands-on activity for...more
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This activity, designed for advanced math classes such as 11-12 grade calculus, allows students to compare several graphs for quadratic functions. This is a good hands-on activity for the visual learner.

tag(s): functions (59)

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Quadratics: Vertex Form - Explore Math

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11 to 12
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This activity, designed for advanced math classes such as 11-12 grade calculus, allows students to visualize the graph of a quadratic in vertex form. Students calculate vertex and...more
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This activity, designed for advanced math classes such as 11-12 grade calculus, allows students to visualize the graph of a quadratic in vertex form. Students calculate vertex and y-intercept locations, and can also visualize the relationship between the vertex and the polynomial forms.

tag(s): quadratics (27)

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Quadratics: Polynomial Form - Explore Math

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11 to 12
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This activity, designed for advanced math classes such as 11-12 grade calculus, provides a graphical representation of a quadratic in polynomial form. Students can change a, b, and...more
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This activity, designed for advanced math classes such as 11-12 grade calculus, provides a graphical representation of a quadratic in polynomial form. Students can change a, b, and c, and visualize the related changes in the graph.

tag(s): polynomials (21)

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Quadratic Inequalities - Explore Math

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11 to 12
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This activity, designed for advanced math classes such as 11-12 grade calculus, provides students with a visual representation of quadratic inequalities in polynomial form. This is...more
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This activity, designed for advanced math classes such as 11-12 grade calculus, provides students with a visual representation of quadratic inequalities in polynomial form. This is a good hands-on activity that allows students to manipulate the solution sets and see the related changes on a graph.

tag(s): inequalities (27), polynomials (21)

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Points in the Complex Plane - Explore Math

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11 to 12
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This activity, designed for advanced math classes such as 11-12 grade introductory calculus, allows students to visualize the graphical representation of complex numbers. This is a...more
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This activity, designed for advanced math classes such as 11-12 grade introductory calculus, allows students to visualize the graphical representation of complex numbers. This is a good hands-on activity for the visual learner.

tag(s): numbers (121)

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Points in Coordinates Planes - Explore Math

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7 to 9
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This activity, designed for lower level math classes such as 7-9 grade algebra, allows students to plot points and view their coordinates in the polar plane. ...more
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This activity, designed for lower level math classes such as 7-9 grade algebra, allows students to plot points and view their coordinates in the polar plane.

tag(s): charts and graphs (182)

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Point-Form Slope of a Line - Explore Math

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7 to 10
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This activity, designed for lower level math classes such as 7-9 grade algebra, allows students to visualize the relationship between the point-slope form and the slope-intercept form...more
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This activity, designed for lower level math classes such as 7-9 grade algebra, allows students to visualize the relationship between the point-slope form and the slope-intercept form of a line. This is a good hands-on activity for the visual learner.

tag(s): charts and graphs (182)

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Parabolas - Explore Math

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11 to 12
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This activity, designed for higher level math classes such as 11-12 grade trigonometry, allows students to manipulate focus, directrix, and vertex, as well as visualize the string property,...more
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This activity, designed for higher level math classes such as 11-12 grade trigonometry, allows students to manipulate focus, directrix, and vertex, as well as visualize the string property, with parabolas. You must register for a free account to access this game.

tag(s): charts and graphs (182)

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Perimeter and Area of Rectangles - Explore Math

Grades
11 to 12
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This activity, designed for higher level math classes such as 11-12 grade trigonometry, demonstrates how changing the area of a rectangle affects the perimeter. This is a good hands-on...more
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This activity, designed for higher level math classes such as 11-12 grade trigonometry, demonstrates how changing the area of a rectangle affects the perimeter. This is a good hands-on activity for the visual learner.

tag(s): area (52), charts and graphs (182)

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Logarithmic Functions: Translating and Scaling - Explore Math

Grades
11 to 12
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This activity, designed for higher level math classes such as 11-12 grade trigonometry, allows students to change the base of logarithms and visualize the corresponding exponential...more
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This activity, designed for higher level math classes such as 11-12 grade trigonometry, allows students to change the base of logarithms and visualize the corresponding exponential function.

tag(s): charts and graphs (182), equations (129)

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Linear Programming - Explore Math

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7 to 9
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This activity, designed for lower level math classes such as 7-9 grade algebra, allows students to experiment with the values of linear functions with linear restrictions on x and y....more
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This activity, designed for lower level math classes such as 7-9 grade algebra, allows students to experiment with the values of linear functions with linear restrictions on x and y. This is a good hands-on activity that allows students to visualize linear functions.

tag(s): functions (59)

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Linear Inequalities (Slope-Intercept Form) - Explore Math

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7 to 9
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The Slope-Intercept Form of a Line Gizmo helps students explore the relationship between a linear equation written in slope-intercept form (y = mx + b) and its graph. By adjusting ...more
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The Slope-Intercept Form of a Line Gizmo helps students explore the relationship between a linear equation written in slope-intercept form (y = mx + b) and its graph. By adjusting the slope and y-intercept using interactive controls, students immediately see how each value affects the line's position and steepness on the coordinate plane. The simulation encourages students to make connections between equations, tables, and graphs while developing a deeper understanding of linear functions through hands-on exploration. It is well-suited for middle school algebra, Algebra 1, and introductory high school mathematics classes.

tag(s): charts and graphs (182), inequalities (27)

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Least Squares Fit Line - Explore Math

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11 to 12
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This activity, designed for advanced level math classes such as 11-12 grade introductory calculus, allows students to manipulate points on a graph and determine the least squares fit...more
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This activity, designed for advanced level math classes such as 11-12 grade introductory calculus, allows students to manipulate points on a graph and determine the least squares fit line for the data. This activity can also be used in a physics class.

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Hyperbolas - Explore Math

Grades
9 to 12
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This activity, designed for intermediate level math classes such as 10-11 grade geometry, allows students to manipulate vertices and foci, and visualize asymptotes and the string property...more
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This activity, designed for intermediate level math classes such as 10-11 grade geometry, allows students to manipulate vertices and foci, and visualize asymptotes and the string property with a hyperbola.

tag(s): charts and graphs (182)

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Exponential Functions - Explore Math

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7 to 9
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This hands-on activity, designed for lower level math classes such as 7-9 grade algebra, allows students to visualize exponential functions on a graph. Students may also approximate...more
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This hands-on activity, designed for lower level math classes such as 7-9 grade algebra, allows students to visualize exponential functions on a graph. Students may also approximate doubling and halving intervals.

tag(s): charts and graphs (182), exponents (38), functions (59)

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Ellipse - Explore Math

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9 to 12
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This hands-on activity, designed for intermediate level math classes such as 10-11 grade geometry, allows students to change vertices and foci in an ellipse, visualize the string property,...more
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This hands-on activity, designed for intermediate level math classes such as 10-11 grade geometry, allows students to change vertices and foci in an ellipse, visualize the string property, and experiment with an ellipse.

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Distance Formula - Explore Math

Grades
7 to 9
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This activity, designed for lower level math classes such as 7-9 grade introductory algebra, allows students to set points on a graph and then measure the distance between the points...more
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This activity, designed for lower level math classes such as 7-9 grade introductory algebra, allows students to set points on a graph and then measure the distance between the points using a ruler as well as with the distance formula. This is a good activity to show students how the distance formula works.

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Points in a Complex Plane - Explore Learning

Grades
10 to 12
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This hands-on math activity, designed for advanced math classes such as 11th-12th-grade trigonometry, allows students to visualize numbers in polar form and their relationship to Cartesian...more
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This hands-on math activity, designed for advanced math classes such as 11th-12th-grade trigonometry, allows students to visualize numbers in polar form and their relationship to Cartesian coordinates.

tag(s): charts and graphs (182), numbers (121)

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Area Probability (Throw Darts!) - Explore Learning

Grades
7 to 11
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This math activity, designed for lower level math classes such as 8-10 grade upper algebra, allows students to manipulate the area of a circle and a rectangle to determine probability....more
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This math activity, designed for lower level math classes such as 8-10 grade upper algebra, allows students to manipulate the area of a circle and a rectangle to determine probability. This is a good hands-on activity that students will enjoy and will help them see the relationship between area and probability

tag(s): probability (132), statistics (128)

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