Gr 9 MATH: Ch 4.1 Investigate and Extend Patterns

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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?

By adding a specific number to the previous term Signup and view all the answers

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

To describe the pattern of the sequence Signup and view all the answers

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

The sequence can be extended by adding more tiles Signup and view all the answers

What is the purpose of analyzing patterns in sequences?

To predict the number of black tiles in future arrangements Signup and view all the answers

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

A pattern with a changing number of grey squares Signup and view all the answers

What is the purpose of comparing sequences?

To describe the relationship between terms and their positions Signup and view all the answers

What is a common operation used to create sequences?

All of the above Signup and view all the answers

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

Analyzing the sequence of grey and white squares Signup and view all the answers

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

The number of shapes in the pattern Signup and view all the answers

What is the purpose of extending sequences?

To understand the relationship between terms and their positions Signup and view all the answers

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

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

What is the key to creating a new sequence?

Using a different operation Signup and view all the answers

What is the purpose of drawing and investigating patterns?

To identify the variables in the pattern Signup and view all the answers

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

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

What is the purpose of identifying patterns in sequences?

To understand the relationship between terms and their positions Signup and view all the answers

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

Understanding the sequence of black tiles Signup and view all the answers

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

To check the results of the sequence Signup and view all the answers

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?

What is the goal of identifying variables in geometric patterns?

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

How can you create a new sequence?

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

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

What is the purpose of analyzing patterns in sequences?

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

What is the purpose of comparing sequences?

What is a common operation used to create sequences?

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

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

What is the purpose of extending sequences?

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

What is the key to creating a new sequence?

What is the purpose of drawing and investigating patterns?

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

What is the purpose of identifying patterns in sequences?

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

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

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