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Look at this pattern and choose the correct words to complete the rule.
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And the rule we’re given is “To get to the next shape we blank squares.”
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In this question, we’re given a pattern of changing shapes.
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And we’re asked to look carefully at each shape and to come up with a rule that describes how each shape changes as we move from one to the other.
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And we’re given five possible ways to complete the rule.
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To get to the next shape, we could add one square, add two squares, add four squares, add six squares, or add eight squares.
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Let’s go through the shapes one by one and see how each shape changes as we move through the pattern.
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Look at shapes one and two.
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What has changed as we move from shape one to shape two?
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Well, shape two still has a blue square in the centre.
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But it now has four orange squares, one attached to each of the four sides of the blue square.
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Four squares have been added.
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Let’s see whether this rule continues between shape two and shape three.
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If we compare shapes two and three, we can see that each of the four orange squares in shape two now has another orange square added to it.
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And so four more orange squares have been added to the pattern.
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So we seem to have found our pattern.
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Let’s just check shapes three and four.
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Shape four has four more squares that are added on each of the arms of the shape.
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And so our plus four pattern continues from shape one all the way through to shape four.
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We found our answer by looking carefully at each shape and thinking about how the design changed.
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Another way to find the answer would be to count the number of squares.
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Let’s use this method just to check that our pattern is correct.
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Shape one has one square.
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And if we add four to that, we get five squares in shape two, which there are.
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And if we add four to that, we get nine squares in shape three, which there are.
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And if we add four to that, we get 13 squares in shape four, which there are.
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And so the correct rule from our list of choices is to get to the next shape, we add four squares.