IM Alg1.6.2 Lesson: How Does it Change?
How does each expression represent the number of small squares in the figure?
Expression A:
Expression B:
Expression C:
Expression D:
Study the 2 patterns of dots.
How are the number of dots in each pattern changing?
How would you find the number of dots in the 5th step in each pattern?
Complete the table with the number of dots in each pattern.
Plot the number of dots at each step number for Pattern 1.
Plot the number of dots at each step number for Pattern 2.
Explain why the graphs of the 2 patterns look the way they do.
Here is a pattern of squares.
Is the number of small squares growing linearly? Explain how you know.
Complete the table.
Is the number of small squares growing exponentially? Explain how you know.
Han wrote for the number of small squares in the design at Step . Explain why Han is correct.