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The Math Forum
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The Math Forum
Activities with Rigor & Coherence - ARCs
Student Explorations in Mathematics
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NCTM Publications 2018-19
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Mathematics Teacher: Learning and Teaching PK-12
Journal for Research in Mathematics Education
Mathematics Teacher Educator
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Every Student Succeeds Act - ESSA Toolkit
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NCTM Centennial Annual Meeting & Exposition
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PreK to 2nd, 3rd to 5th
Quilters and other designers sometimes start by producing square patches with a pattern on them. These square patches are then repeated and connected to produce a larger pattern. Create your own patch using the shapes in the tool below.
This interactive is optimized for your desktop and tablet.
Along the top, click on any shape and drag it onto the canvas; or, double-click on any shape to have a copy placed on the canvas.
The buttons along the left allow you to modify your design.
, and remove any shape by clicking on it.
, then click on a shape to rotate it.
, then click on a shape to reflect it top to bottom.
, and two objects placed near one another will snap together.
If you click on the button in the upper left corner, a menu of shapes will be displayed. Select one of these shapes, and then try to build it. An outline of the shape will appear on the canvas, and the "Hint" button can be used to see one possible solution.
If you want to save your work, click on the picture of the floppy disk at the upper right. Enter your name.
Your image will open in a new
pop-up window. Right-click on the image to save it. If nothing happens after you enter your name, you will need to allow pop-ups.
If you want to print your work or save it as a PDF, click on the printer icon and follow the instructions in your browser.
Use the available shapes to create a patch of your own design.
What features does your patch have that you find interesting?
Was there a shape that was harder or easier to fit with other shapes? If so, why?
If you put several copies of your patch together, how would they match up?
When did you have to flip a shape? Could you have rotated the shape instead?
Objectives and Standards
NCTM Standards and Expectations
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Pre-K - 2
This month’s Centennial Special in the NCTM Store: Compendium for Research in Mathematics Education. Order yours by… https://t.co/9yH8I4BOEg
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