Understanding Patterns with Matchsticks and Tile Calculations
This document explores mathematical patterns involving matchsticks and tiles. Specifically, it analyzes which pattern requires exactly 41 matchsticks and formulates the relationship between white tiles (w) and black tiles (b). The established rule connects the number of white tiles to black tiles, focusing on the quantity of white pavers needed based on the number of black pavers ordered, with a scenario involving 100 black pavers. The text helps illuminate mathematical patterns and encourages problem-solving through visual and numerical reasoning.
Understanding Patterns with Matchsticks and Tile Calculations
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Presentation Transcript
The rule for the number of white tiles (w) in terms of the number of black tiles (b) is:
The rule for the number of white tiles (w) in terms of the number of black tiles (b) is:
Write down the formula for white pavers (w) in terms of black pavers (b)
How many white pavers are needed if 100 black pavers are ordered?
How many white pavers are needed if 100 black pavers are ordered?