Page 89 - NUMINO Challenge_B1
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10 Rules for the Number of Shapes
Basic Concepts Regular Increase in the Number of Shapes
Use matches to make shapes as shown in the steps below. Find the number
of matches used in each step. Then find the number of matches needed to
make the nth shape.
Step 1 Step 2 Step 3 Step 4
Step 1 2 3 4
Number of Matches 4 7
Number of Matches (4 3) 10 13
(4 3 3)
to make the nth 433 (4 3 3 3)
3 3 4 3 (n 1)
Example Use the rule to find the number of matches that are needed to
make 10 regular pentagons.
Class Notes
We need matches to make one pentagon. To make another pentagon, we need
more matches.
To make 10 regular pentagons, we need to add 9 more pentagons to the first pentagon.
Therefore, we need (10 1) matches to make 10 regular pentagons.
86 NUMINO Challenge B1
Basic Concepts Regular Increase in the Number of Shapes
Use matches to make shapes as shown in the steps below. Find the number
of matches used in each step. Then find the number of matches needed to
make the nth shape.
Step 1 Step 2 Step 3 Step 4
Step 1 2 3 4
Number of Matches 4 7
Number of Matches (4 3) 10 13
(4 3 3)
to make the nth 433 (4 3 3 3)
3 3 4 3 (n 1)
Example Use the rule to find the number of matches that are needed to
make 10 regular pentagons.
Class Notes
We need matches to make one pentagon. To make another pentagon, we need
more matches.
To make 10 regular pentagons, we need to add 9 more pentagons to the first pentagon.
Therefore, we need (10 1) matches to make 10 regular pentagons.
86 NUMINO Challenge B1
