Math Problem Statement

Draw the next three terms in the pattern shown. Pattern 1: a single square, Pattern 2: three squares in an L-shape, Pattern 3: six squares in a larger L-shape.

Solution

The image shows a sequence of patterns made from squares, where each new pattern builds upon the previous one. The first three patterns are as follows:

  • Pattern 1: A single square.
  • Pattern 2: Three squares arranged in an "L" shape.
  • Pattern 3: Six squares forming a larger "L" shape with one additional row on the left.

Observing the Pattern Growth:

  • From Pattern 1 to Pattern 2, two squares were added.
  • From Pattern 2 to Pattern 3, three squares were added in a specific arrangement, extending the "L" shape.

Projecting the Next Three Patterns:

  • Pattern 4 will add another row of four squares on the left, maintaining the "L" shape growth.
  • Pattern 5 will continue with an additional row of five squares.
  • Pattern 6 will add another row of six squares.

Would you like a detailed visual representation of these next three patterns, or further clarifications?

Here are some related questions:

  1. How many squares will each new pattern have?
  2. Can you identify a numerical sequence in the number of squares added?
  3. How does the structure of each "L" shape evolve between patterns?
  4. What is the formula for the total number of squares in each pattern?
  5. How would you describe this pattern growth geometrically?

Tip: Look for consistency in the way each pattern adds rows to predict future steps more easily.

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Math Problem Analysis

Mathematical Concepts

Geometry
Pattern Recognition
Sequences

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6