Name __________
Patterns and Functions
What’s the Rule?
1. Look at the tower numbers pattern below.
2. Express the pattern in a table and find the number of dots for n=4 and n=5.
How could you find the number of dots in the 50th figure?
# position (Input)
1
2
3
4
5
50
# of dots (Output)
3. Using the previous question, what is the general rule for this pattern?
Function Rule:
4. Draw the next two figures on the grid line below. Complete the table and
write a function rule.
# position (Input)
1
2
3
4
5
20
Function Rule:
# of dots (Output)
5. Draw the next two figures, complete the table and write a function rule.
# position (Input)
1
2
3
4
5
20
# of dots (Output)
Ordered Pairs
Function Rule:
6. Complete the table by writing in the ordered pairs. (Input, Output)
7. Graph the function.
8. Explain how the plotted points and the graph of the function are related.