Page 34 - 新思维数学学生用书6 样章
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Project 1 Odd sequence
Project 1
Odd sequence
Zara and Arun’s teacher wrote this on the board:
1, 4, 9, ...
What do you notice?
Talk to a partner about what you both noticed.
They are square
numbers.
To get from 1 to 4,
you add 3. To get from 4 to
9 you add 5. I wonder whether
you need to add 7 to get the
next number.
Do you agree with Zara’s observation? Do you agree with Arun’s?
Why or why not?
Continue the sequence to find the next three terms.
Will the number 63 be part of the sequence? How do you know?
Try to answer without continuing the sequence any further.
Why does adding consecutive odd numbers produce square
numbers?
You might like to explain in words, through pictures, or using both.
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