Complete the patterns and then describe each.

Here are the completed patterns and descriptions:

1. Complete the patterns and then describe each.

• a)

  • Completion: Continue the alternating sequence of squares. The first type has triangles forming a diamond in the center. The second type has triangles forming an 'X' shape.
  • Description: This pattern is a tessellation of squares, each divided into four triangles, alternating between a central diamond design and an X-shape design.

• b)

  • Completion: Continue the tessellation of hexagons surrounded by squares, and squares surrounded by hexagons.
  • Description: This pattern is a tessellation of regular hexagons and squares.

• c)

  • Pattern 1 (Blue/white checkerboard):
    • Completion: Continue the checkerboard pattern by alternating blue and white squares.
    • Description: A checkerboard pattern of blue and white squares.
  • Pattern 2 (Blue/white vertical stripes):
    • Completion: Continue the pattern of alternating blue and white vertical columns.
    • Description: A pattern of vertical stripes with alternating blue and white columns.
  • Pattern 3 (Yellow shape on white grid):
    • Completion: Continue the repeating 'W' or 'M' shape using yellow squares on the grid.
    • Description: A repeating 'W' or 'M' shape formed by yellow squares on a white grid.
  • Pattern 4 (Purple/white rectangles):
    • Completion: Continue the checkerboard pattern by alternating purple and white rectangles.
    • Description: A checkerboard pattern of purple and white rectangles.

• d)

  • Pattern 1 (Green/pink checkerboard):
    • Completion: Continue the checkerboard pattern by alternating green and pink squares.
    • Description: A checkerboard pattern of green and pink squares.
  • Pattern 2 (Yellow honeycomb with bees):
    • Completion: Continue the tessellation of yellow hexagons.
    • Description: A tessellation of yellow hexagons, resembling a honeycomb, with bees on some hexagons.
  • Pattern 3 (Green/red triangles):
    • Completion: Continue the tessellation of green and red triangles, ensuring no gaps.
    • Description: A tessellation of green and red triangles filling space without gaps.

2. Complete the sentences to describe the patterns.

• a)
  • i. The 10 squares have been slid along to make up the first row.
  • ii. The pattern starts with one pink square and then two green squares.
  • iii. The pattern is repeated without gaps.
• b)
  • i. The first row starts with purple rectangle.
  • ii. The next five rectangles will be white.
  • iii. The pattern is repeated without gaps.
• c)
  • i. 7 yellow hexagons are slid along to make the first row.
  • ii. All the hexagons are yellow.
  • iii. The pattern is repeated without gaps.
• d)
  • i. 9 triangles are slid across.
  • ii. The green triangles have been flipped and used to fill the gaps between the red triangles.
  • iii. The pattern is repeated without gaps.