Students use matchsticks to continue a triangular spatial pattern and write a rule to describe the number needed for each pattern. They then complete a table and a rule to show the relationship between the number of triangles and the number of matchsticks.
The start of a spatial pattern of triangles is shown and described in a table. Students generate more of the pattern and describe the relationships algebraically.
Students draw in the next two shapes in a spatial pattern, complete a table and rules about the pattern, then calculate the number of triangles in the 8th shape.
Students continue two number patterns of diamonds in a sequential pattern, state the general rule for the number sequences and use the rule to find the pattern number with a given number of diamonds.
A spatial pattern involving the area of a shape is represented by a table and a diagram. Students describe the rule in words and as an algebraic expression.
Students draw the next two triangles in a spatial pattern, calculate the areas of a range of triangles, work out the height of a triangle given its area, and write a rule for the pattern.