Gr 9 MATH: Ch 4.1 Investigate and Extend Patterns

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Questions and Answers

What can be identified by analyzing the arrangements of blue, yellow, and red tiles?

  • The number of red tiles, which is a variable
  • The number of blue tiles in each arrangement
  • The pattern of the arrangement's shape
  • The number of yellow tiles, which is a constant (correct)

In the sequences of black, grey, and white squares, what can be described?

  • The number of arrangements possible
  • The number of black tiles in each arrangement
  • The number of grey tiles in each arrangement
  • The pattern of grey and white squares (correct)

What is the purpose of identifying constants and variables in a pattern?

  • To create a new pattern
  • To identify the next term in the sequence
  • To calculate the number of tiles in the arrangement
  • To understand the structure of the pattern (correct)

What can be done with the pattern of dots in a sequence?

<p>Analyze the pattern to identify the next term (B)</p> Signup and view all the answers

What is the purpose of creating sequences with different operations?

<p>To compare the relationships between terms in different sequences (D)</p> Signup and view all the answers

How can the next terms in a sequence be written?

<p>By identifying the pattern of the sequence (C)</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 (C)</p> Signup and view all the answers

What can be compared when creating sequences with different starting points and operations?

<p>The relationships between terms in each sequence (B)</p> Signup and view all the answers

What is the purpose of extending sequences and describing how they are formed?

<p>To understand the structure of the sequence (C)</p> Signup and view all the answers

What can be done with a sequence once its pattern is identified?

<p>Identify the next term in the sequence (B)</p> Signup and view all the answers

What is the primary purpose of analyzing arrangements of blue, yellow, and red tiles?

<p>To determine if the number of yellow tiles is a constant or a variable (D)</p> Signup and view all the answers

In a sequence of black, grey, and white squares, what can be predicted about the future arrangements?

<p>The pattern of grey and white squares will continue (C)</p> Signup and view all the answers

What is the key difference between a sequence created by adding a specific number and a sequence created by multiplying a specific number?

<p>The operation used to create the sequence (D)</p> Signup and view all the answers

When creating a sequence with different operations, what is the primary goal?

<p>To identify the relationship between terms and their positions (A)</p> Signup and view all the answers

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

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

In a sequence of black and grey squares, what can be identified by analyzing the pattern of grey squares?

<p>The relationship between the number of black and grey squares (A)</p> Signup and view all the answers

What is the primary benefit of extending sequences and describing how they are formed?

<p>To understand the underlying structure of the sequence (A)</p> Signup and view all the answers

What is the primary purpose of identifying constants and variables in a pattern?

<p>To understand the underlying structure of the pattern (A)</p> Signup and view all the answers

What is the primary benefit of creating sequences with different operations?

<p>To understand the underlying structure of the sequence (D)</p> Signup and view all the answers

What is the primary purpose of comparing sequences with different starting points and operations?

<p>To understand the relationships between sequences (D)</p> Signup and view all the answers

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