Gr 9 MATH: Ch 4.1 Investigate and Extend Patterns
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Questions and Answers

What is a common characteristic of geometric patterns?

  • They always have a constant number of yellow tiles
  • They can be extended by adding more tiles (correct)
  • They always have a starting point with a red tile
  • They always have a fixed number of black tiles

    • What is the goal of identifying variables in geometric patterns?

  • To count the total number of tiles
  • To understand how the pattern changes or remains the same (correct)
  • To find the number of red tiles in the arrangement
  • To determine the sequence of colors

    • What is an example of a sequence with a constant difference?

  • A sequence with a starting point of a red tile
  • A sequence formed by adding 2 to the previous term (correct)
  • A sequence with a fixed number of yellow tiles
  • A sequence with alternating black and grey squares

    • How can you create a new sequence?

    <p>By adding a specific number to the previous term</p> Signup and view all the answers

    What is the purpose of formulating relationships between terms in sequences?

    <p>To describe the pattern of the sequence</p> Signup and view all the answers

    What is a characteristic of a sequence with a fixed starting point?

    <p>The sequence can be extended by adding more tiles</p> Signup and view all the answers

    What is the purpose of analyzing patterns in sequences?

    <p>To predict the number of black tiles in future arrangements</p> Signup and view all the answers

    What is an example of a geometric pattern with a variable?

    <p>A pattern with a changing number of grey squares</p> Signup and view all the answers

    What is the purpose of comparing sequences?

    <p>To describe the relationship between terms and their positions</p> Signup and view all the answers

    What is a common operation used to create sequences?

    <p>All of the above</p> Signup and view all the answers

    What is the key to identifying the pattern of grey and white squares in an arrangement?

    <p>Analyzing the sequence of grey and white squares</p> Signup and view all the answers

    Which of the following is an example of a variable in a geometric pattern?

    <p>The number of shapes in the pattern</p> Signup and view all the answers

    What is the purpose of extending sequences?

    <p>To understand the relationship between terms and their positions</p> Signup and view all the answers

    What is the relationship between the number of black tiles and the next number in the pattern?

    <p>The number of black tiles is always one more than the next number in the pattern</p> Signup and view all the answers

    What is the key to creating a new sequence?

    <p>Using a different operation</p> Signup and view all the answers

    What is the purpose of drawing and investigating patterns?

    <p>To identify the variables in the pattern</p> Signup and view all the answers

    What is the relationship between the number of yellow tiles and the next number in the pattern?

    <p>The number of yellow tiles has no relationship to the next number in the pattern</p> Signup and view all the answers

    What is the purpose of identifying patterns in sequences?

    <p>To understand the relationship between terms and their positions</p> Signup and view all the answers

    What is the key to predicting the number of black tiles in future arrangements?

    <p>Understanding the sequence of black tiles</p> Signup and view all the answers

    What is the purpose of formulating relationships between terms in sequences?

    <p>To check the results of the sequence</p> Signup and view all the answers

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