Pattern Blocks: Free Virtual Blocks, Puzzles and Fractions

What pattern blocks teach

Pattern blocks look like a toy, and children play with them like one. That's the point. While a child builds a flower or a rocket, they are deciding which shapes fit together, turning pieces until the angles match, and noticing that two red trapezoids make a yellow hexagon. Those observations are geometry, measurement and fractions, learned with the hands before they are written with symbols.

The set has six shapes. Every side is the same length (the trapezoid's long side is exactly two sides long), and every angle is a multiple of 30°. Because of that design, the blocks fit together in a huge number of ways without gaps.

Use shape names alongside colors: hexagon, trapezoid, rhombus and triangle. Ask a learner to describe the sides and corners so the explanation still makes sense with a different color scheme.

How to use pattern blocks on this board

Start by letting children explore with no task at all. Drag blocks out, turn them with Rotate and watch edges snap together. When an edge lands close to another edge facing the opposite way, the block slides exactly into place, the way real blocks settle flat against each other.

Then add structure:

1. Fill an outline. Choose a puzzle such as the hexagon, the big triangle or the star. The board checks every point inside the outline and tells you when it is covered exactly once, with nothing sticking out.
2. Find another way. Clear the outline and fill it again with different blocks. A hexagon can be one hexagon, two trapezoids, three blue rhombuses, six triangles, or a mix.
3. Talk about the fractions. The readout lists every block as a fraction of the whole: 1/2 + 1/3 + 1/6 = 1.
4. Change the whole. Switch One whole is to the trapezoid. Now the hexagon is worth 2 and the triangle is worth 1/3. This one change is one of the best ways to show that a fraction depends on its whole.

Pattern block fractions

Fractions are where pattern blocks earn their place past kindergarten. The hexagon family (hexagon, trapezoid, blue rhombus, triangle) shares one unit: the green triangle. A hexagon is 6 triangles, a trapezoid 3 and a blue rhombus 2. That makes halves, thirds and sixths visible and directly comparable.

• Equivalent fractions. Cover one trapezoid with three triangles: 1/2 = 3/6. Cover a blue rhombus with two triangles: 1/3 = 2/6.
• Adding unlike fractions. Put a trapezoid, a blue rhombus and a triangle together into one hexagon. Children see 1/2 + 1/3 + 1/6 = 1 before they learn common denominators, and the common denominator (sixths) is the triangle they can count.
• Mixed numbers. Five blue rhombuses are 5/3, or 1 2/3: one hexagon and two more thirds. Task card 5 asks for exactly this.
• Changing the whole. If two hexagons are 1, a single hexagon is 1/2 and a triangle is 1/12. The board computes these with exact fractions, so a total is never shown as 0.99.

The Common Core standards introduce partitioning shapes into halves, thirds and fourths in 2nd grade (2.G.A.3) and fractions as numbers in 3rd grade (3.NF.A.1). Pattern blocks fit neatly between the two: the pieces are real shapes, and the fractions come from comparing them.

Pattern block puzzles and symmetry

Outline puzzles build spatial reasoning, the ability to picture how shapes turn and fit. The board has seven outlines, from a single hexagon to a big hexagon that takes 24 triangles' worth of blocks. Some have many solutions; ask children to find the solution with the fewest blocks, then the most.

The mirror line adds symmetry. Turn on Mirror line and a dashed copy of every block appears reflected on the other side, showing where its partner should go. When every block has a mirror partner, the readout says the design is symmetric. Fourth graders meet lines of symmetry in the Common Core standards (4.G.A.3), and pattern block designs make the idea concrete: a design is symmetric when folding it along the line would match every block.

Pattern blocks by grade

Activities to try

The task cards check themselves. These ideas go further.

• How many ways? Find every different way to cover one hexagon. (There are eight if you count by which blocks you use: one hexagon; two trapezoids; three rhombuses; six triangles; a trapezoid and a rhombus and a triangle; a trapezoid and three triangles; a rhombus and four triangles; two rhombuses and two triangles. Children usually find most of them and argue about the rest, which is the fun part.)
• Angles around a point. Put corners of blocks together around one point until there is no gap. Six triangle corners make a full turn, and so do three hexagon corners. Every full turn is 360°, so a triangle corner is 60° and a hexagon corner 120°.
• Twelve tan rhombuses. Fit tan rhombuses together point to point around one center. Twelve of their 30° corners make a full turn, and the result looks like a flower.
• Mystery fraction. Hide the value, build a design from hexagon-family blocks, and ask a partner what it is worth if the hexagon is 1. Show the value to check.
• Describe and build. One child builds a design out of sight and describes it ("a hexagon with a triangle on top"); the other builds from the description. Compare.
• Grow a pattern. Make a hexagon, then surround it with a ring of triangles, then a bigger ring. Count the blocks in each ring and look for the pattern.

Tips for teachers and parents

• Name shapes by properties, not just color. "The blue one" is fine at first; then ask how many sides it has and whether its sides are all the same length.
• Ask for a second way. Whenever a child fills an outline, ask for another solution. Composing and decomposing shapes in more than one way is the core idea of the kindergarten and 1st grade geometry standards.
• Connect to written fractions. After building 1/2 + 1/3 + 1/6, write it down. The blocks, the picture and the equation should describe the same quantities.
• Keep the real set too. Physical blocks are wonderful for young children. Use the virtual set for unlimited pieces, exact fraction readouts, snapping, puzzles, sharing and printing.

What makes these pattern blocks different

This board includes the parts that make lessons work: edge snapping so shapes sit exactly together, 30° turns, seven outline puzzles checked automatically, a mirror line with symmetry checking, fractions of a changeable whole computed exactly, pen and text labels, undo and redo, share links, a printable snapshot, full keyboard controls and twelve self-checking task cards. Use a current browser on a computer, tablet or phone.

Ready for more? Fraction tiles show fractions as lengths, and the geoboard turns shapes into area and perimeter. For practice on paper, print a fraction chart or equivalent fractions worksheets. Families comparing programs that use manipulatives like these can start with the best elementary math curriculum guide.

Choosing an activity

Grade bands describe possible curriculum connections, not an assessment of an individual learner. Start with an example the learner can explain, then change one feature at a time. The activity suggestions here are editorial teaching ideas, not results from a classroom trial of this software. Use the model alongside written work and physical materials when useful. The linked standards describe learning objectives; they do not endorse Edulist or require this particular tool.