# Mathematical Patterns and Their Applications

ANSWER THE FOLLOWING QUESTIONS

1

Understanding: What is the Fibonacci sequence? How is the Fibonacci sequence generated?

1a

Can you write down the first five terms of the Fibonacci sequence?

1b

What are the numbers that come after 0 and 1 in the sequence?

1c

Can you identify any pattern in the Fibonacci sequence?

1d

Why do you think the Fibonacci sequence is interesting or important?

1e

Can you think of any real-life examples where the Fibonacci sequence appears?

1f

How might the Fibonacci sequence be useful in the real world?

2

Understanding: What is Pascal's triangle? How is Pascal's triangle constructed?

2a

Can you draw Pascal's triangle up to the 5th row?

2b

What are the numbers in the first few rows of Pascal's triangle?

2c

Do you notice any patterns within Pascal's triangle?

2d

How do the numbers in Pascal's triangle change from row to row?

2e

Can you think of any real-life examples where Pascal's triangle is used?

2f

In what ways might Pascal's triangle be helpful in solving problems?

3

Organization: How will you organize your presentation to make it clear and easy to follow? What sections will you include in your presentation?

3a

What creative elements will you incorporate into your presentation format?

3b

How will you make your presentation visually interesting?

3c

How will you keep your audience interested and engaged during your presentation? Will you use any interactive elements or activities?

3d

What impression do you want to leave on your audience with your presentation? How will you ensure that your presentation has a positive impact on the audience?

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