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Calculating Slabs for Flowerbeds: A Step-by-Step Approach

This guide presents a structured method to determine the number of slabs needed for 100 flowerbeds. Beginning with the analysis of smaller numbers of flowerbeds, we find that each flowerbed requires 6 slabs, and configurations with increased flowerbeds add slabs in a consistent pattern. By tabulating results and identifying trends, we derive a formula: 6 + (n-1) x 4, where n is the number of flowerbeds. Applying this formula, we calculate that 100 flowerbeds require 402 slabs. Follow this strategic approach to tackle similar problems efficiently.

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Calculating Slabs for Flowerbeds: A Step-by-Step Approach

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  1. FLOWERBEDS Here are four flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?

  2. STRATEGY • Break the problem into smaller pieces • Tabulate results • Look for patterns and why they occur • Find a formula • Solve the problem

  3. Break the problem into smaller pieces 1 Flowerbed has 6 slabs 2 Flowerbeds have 10 slabs Draw the diagrams for 3 and 4 flowerbeds

  4. Tabulate results 14 18

  5. …and why they occur Look for patterns… +4 +4 14 +4 18

  6. …and why they occur 6 +4 + 3 lots of 4 +4 +4

  7. Find a formula

  8. 22 6 + 4x4 6 + 9x4 42 6 + (n-1)x4 6+4(n-1)

  9. Solve the problem 100 flowerbeds? 402 6 + 99 x 4 =

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