Pattern blocks are colorful shapes that fit together to make pictures, mosaics, and repeating designs. In this project, students use blocks such as yellow hexagons, red trapezoids, blue rhombuses, green triangles, and orange squares to build a design on a tabletop. The goal is not only to make something attractive, but also to notice how shapes combine, repeat, rotate, and reflect.
This kind of project helps build spatial reasoning, geometry skills, and careful observation.
Key Facts
- A regular hexagon pattern block can be covered by 6 green equilateral triangles.
- A red trapezoid pattern block can be covered by 3 green equilateral triangles.
- A blue rhombus pattern block can be covered by 2 green equilateral triangles.
- A repeating pattern is made by copying the same unit again and again in a predictable order.
- Perimeter = sum of all outside side lengths.
- Area can be compared by choosing one block as a unit, such as 1 green triangle = 1 square unit of pattern area.
Vocabulary
- Pattern block
- A pattern block is a flat geometric shape used to build pictures, designs, and repeating patterns.
- Repeating unit
- A repeating unit is the smallest group of shapes that repeats to make a pattern.
- Mosaic
- A mosaic is a picture or design made by fitting many small pieces together.
- Symmetry
- Symmetry happens when a shape or design can be folded, reflected, or rotated so matching parts line up.
- Tessellation
- A tessellation is a pattern of shapes that covers a surface with no gaps and no overlaps.
Common Mistakes to Avoid
- Choosing a repeating unit that is too large, because it may include several copies of the real smallest unit.
- Leaving small gaps between blocks, because a tessellation or neat mosaic should show how shapes fit edge to edge.
- Counting inside edges as perimeter, because perimeter only includes the outside boundary of the whole design.
- Changing the order of blocks in a repeating pattern, because the repeated unit must stay the same each time for the pattern to be predictable.
Practice Questions
- 1 A student makes one flower petal group using 1 yellow hexagon, 2 red trapezoids, and 4 green triangles. If the flower has 6 identical petal groups, how many total blocks are used?
- 2 One repeating unit in a border is triangle, triangle, rhombus, trapezoid. If the unit repeats 8 times, how many triangles, rhombuses, and trapezoids are in the full border?
- 3 A butterfly design looks the same on the left and right sides, but the colors are different on one wing. Explain whether the design has line symmetry and what could be changed to make the symmetry clearer.