Vege Rows


The purpose of this activity is to engage students in using mathematical strategies to solve a sequence problem.

Achievement Objectives
NA3-3: Know counting sequences for whole numbers.
NA3-8: Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.
Description of Mathematics

The background knowledge and skills that should be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students' skills and depth of understanding.



A gardener has a triangular patch of dirt that she wants to plant broccoli seedlings in.

If she spaces the seedlings correctly, she can fit twelve rows, with one seedling in the first row, four seedlings in the next, seven in the next and so on.

How many broccoli seedlings can she plant?


The procedural approach  (show more)

  • The student is able to follow steps given, to solve a problem involving a sequence.

The conceptual approach  (show more)

  • The student is able to solve a problem based on a sequence.
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Level Three