Interactive exercise. Assistance may be required. Jose is creating patterns with square bricks in his backyard to highlight his gardens. Click on the brick pattern to view the next pattern.

  1. Use your notes to complete a table like the one below. Click on the blanks to check your answers.

    Pattern Number 1 2 3 4 5
    Number of Bricks _______ _______ _______ _______ _______
  2. Describe the pattern.

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    The pattern starts with one brick; each pattern after the first is two more than the pattern before it. Close Pop Up

    The relationship between the number of bricks and the pattern number is:
    B = 2P − 1
    B is the number of bricks and P is the pattern number.

  3. Describe the function.

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    In the function, the pattern number, P, is the independent variable, the number of bricks, B, depends on the pattern number, and the constant is -1. In order to find the number of bricks in a particular pattern, the pattern number is doubled and decreased by one.Close Pop Up
  4. Can B ever be a negative number? Why or why not?

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    Check Your Answer

    No, Jose will either put a brick down or not. There will never be a negative number of bricks. Close Pop Up

When writing a verbal description it is important to mention if there are any restrictions, especially with the independent variable.