Count the Whole Repeated Group
Distinguish repetitions from actions within a repetition.
Supplied materials
- Paper and pencil; an adult may read aloud. No device, account or purchase is needed.
Learn the idea
A repeated group can contain more than two instructions. Count how many actions are in one group before finding the total. A repetition is one whole trip through the group, in order. Numbering groups separately from individual actions helps us avoid confusing three groups with three drawings.
Use this rule: repeat two times: draw a circle, draw a square, draw a triangle. One group has three drawings. Copy that entire group twice and draw a small divider between the groups. This produces six drawings, even though the repeat count is only two.
- Write the group circle, square, triangle.
- Draw the group twice with a divider between groups.
- Number all drawings 1 through 6.
- Compare two repetitions with six individual drawing actions.
See the method in action
The expanded sequence is circle, square, triangle | circle, square, triangle. There are 2 groups × 3 drawings = 6 drawings; positions 3 and 6 are triangles.
Check your reasoning
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See the answer and explanation
9
Each of the 3 repetitions includes all 3 drawings, so there are 3 × 3 = 9 drawing actions.
Take it further
Change the group to circle, square, triangle, star and repeat it twice. Expected total: 8 drawings. Positions 4 and 8 are stars.
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