News & Calendar
News & Calendar
Activities with Rigor & Coherence - ARCs
Student Explorations in Mathematics
Monthly Featured Resources
Illuminations & More Online Resources
Reasoning & Sense Making Task Library
Problems of the Week Resources
The Math Forum Resources
“Best of” Issues
Mathematics Teacher: Learning and Teaching PK-12
Journal for Research in Mathematics Education
Mathematics Teacher Educator
Legacy Journals and JRME and MTE
Write, Review, Referee
Standards & Positions
Principles to Actions
Common Core State Standards
Principles and Standards
Curriculum Focal Points
Focus in High School Mathematics
More NCTM Standards
Research & Advocacy
Research Briefs & Clips
Linking Research & Practice
Advocacy In the Field
Policies & Recommendations
Every Student Succeeds Act - ESSA Toolkit
Advocacy and Legislation
Conferences & Professional Development
100 Days of Professional Learning
Regional Conferences & Expositions
Professional Development Resources
NCTM CAEP Report Compiler Training
Be a Speaker
Webinars and Webcasts
Exhibit, Advertise, Sponsor
Past and Future Annual Meetings
Grants & Awards
About Mathematics Education Trust
Browse All Grants
Lifetime Achievement Award
Benefits of Membership
Membership Options for Individuals
Not a member?
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
Geometry / Measurement
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
RT @LatrendaK: @NCTM @MathEdLeaders @utdckatey @NSTA @AWSchexnayder @__Ms_Bush @robertkaplinsky
1906 Association Drive
Reston, VA 20191-1502
(800) 235-7566 or (703) 620-9840
FAX: (703) 476-2970
Advertise with NCTM
Exhibit and Sponsor
For the Media
Copyright © 2020, National Council of Teachers of Mathematics.