BUILDING UNDERSTANDING

1 Describe or draw the next two terms for each of these spatial patterns.

2 For each of the following spatial patterns, describe or draw the starting geometrical design and also the geometrical design added on repetitively to create new terms. (For some patterns the repetitive design is the same as the starting design.)

Example 19 Drawing and describing spatial patterns

a Draw the next two shapes in the spatial pattern shown.

b Write the spatial pattern above as a number pattern relating the number of sticks required to make each shape.

c Describe the pattern by stating how many sticks are required to make the first term, and how many sticks are required to make the next term in the pattern.