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This children's book is an introduction to how shapes can be created out of other shapes and has the opportunity to work well with a hands-on activity where students use yarn to represent the different shapes discussed in the story.

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Interactive Read Aloud: Geometry:  The Greedy Triangle with questions embedded

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Pythagorean Theorem "Proof Without Words" Video

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Pythagorean Theorem "Proof Without Words" Video

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Relationship states that if a square in constructed on each side of a right triangle, the areas of the two smaller squares will together equal the area of the square on the longest side, the hypotenuse. This video gives an example of how this relationship can be explained and tested by students.

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Pythagorean Theorem - Proof Without Words

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Elementary students: manipulate dynamic models of fractions, number lines, and geometric patterns.
Middle school students: explore ratio and proportion, rate of change, and functional relationships through numeric, tabular, and graphical representations.
High school students: use Sketchpad to construct and transform geometric shapes and functions—from linear to trigonometric—promoting deep understanding.

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The Geometer's Sketchpad® is the world's leading software for teaching mathematics. Sketchpad® gives students at all levels-from third grade through college-a tangible, visual way to learn mathematics that increases their engagement, understanding, and achievement. Make math more meaningful and memorable using Sketchpad. Elementary students can manipulate dynamic models of fractions, number lines, and geometric patterns.

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This interactive tool can be used to create dynamic drawings on isometric dot paper. Shapes can be rotated, shifted, and viewed in 2D/3D.

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Select the cube, face, or segment along the left navigation.

Then, place the object on the grid where you want it. If your selection is red, on the grid, then it is a location where you can not place the object.

HINT

Draw your shape from back to front and from bottom to top, to assure proper alignment of cubes.

When adding adjacent cubes, be sure to click on the face of the cube you want to be touching.

Create Mode

There are two ways to move objects:

1. Using the Arrow. Simply select and drag the object(s) to a new location.

2. Unit Movement Buttons

The other buttons along the top navigation serve various functions:

Rotate the entire figure by dragging the image or by using the sliders.

Use the Eraser to erase individual objects. You can also select multiple objects with the Pointer and then use the eraser to erase those objects.

Explode- Change all cubes into faces. If two cubes share a face, the face will not be shown. Note that you can not undo this action.

Use the Paint Brush to select a color before you create an object. You can also change the color once an object is created by selecting the object with the color you wish it to be.

Inspect Mode

In the Inspect Mode, you can:

See a 3D or 2D version of your isometric drawing.

Print your isometric drawing, as it is shown in the workspace.

Rotate your isometric drawing.

Choose to display your isometric drawing with or without axis.

Choose to display a solid or transparent isometric drawing.

You can reset all the view at any point by choosing the Reset View button.

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Select the cube, face, or segment along the left navigation. Then, place the object on the grid where you want it. If your selection is red, on the grid, then it is a location where you can not place the object. Draw your shape from back to front and from bottom to top, to assure proper alignment of cubes.

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Dynamic Mathematical apps for two and three-dimensional graphing, geometry, algebra, calculus, and statistics. Van de Walle suggests using this resource so "students can explore not one shape but an enormous number of examples from that class of shape."

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GeoGebra - the world's favorite, free math tools used by over 100 million students and teachers

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Free digital tools for class activities, graphing, geometry, collaborative whiteboard and more