This task is about patterns and rules.
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Christine began making the pentagon pattern below with matches.
She noticed a relationship between the number of pentagons and the total number of matches used, which she recorded on a chart.
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| a) |
Complete the chart above to show the number of matches used.
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| b) |
How many matches would be needed for 30 pentagons? __________ matches
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| c) |
Complete the rule below which you could use to find the number of matches needed for any number of pentagons.
Rule: "The number of pentagons × ___________ + ___________ = the number of matches." |
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