Download Function L tiles doc

Name _____________________________
What’s My Rule?
1st
2nd
3rd
4th
5th
6th
7th
1. Find a pattern in the sequence of figures and use your tiles to construct and sketch
the next three figures.
2. Use your tiles to build the 10th figure for this sequence. Draw a sketch of the figure.
3. a. Complete the table. Describe the pattern in the sequence.
Step
1st
2nd
3rd
4th
5th
6th
…
10th
20th
Number
of Tiles
b. Describe precisely how you would build the 20th figure.
c. How many tiles would be needed?
4. Describe what the 50th figure would look like and how many tiles it would contain.
5. Write a formula (rule) for determining the number of tiles for any figure number n.
6. Explain why your formula works.
BColeman 11_2014
Growing Tile Pattern
1. Use your models and any patterns you notice to complete the table.
Figure
#
Input
# of Tiles
Output
2. Name the rule in a word sentence:
3. Name the rule using variables:
4. Construct a graph of the first 5 terms of
the pattern.
Number of tiles
n
Figure Number
BColeman 11_2014
Graphing on the TI-73 Explorer
Compare the graphs of the figure number and number of tiles
with the graph of the rule (function).
Graphing a Scatter Plot
1. Press LIST.
2. Enter the figure numbers in L1.
3. Enter the corresponding number of tiles in L2.
4. Press 2nd.
5. Press PLOT. (This is the y= button).
6. Select 1. ENTER.
7. Select ON. ENTER.
8. Arrow down to "Type." Select the scatter plot. ENTER.
9. Check that Xlist = L1 and Ylist = L2.
10. Press WINDOW. Enter the appropriate minimums, maximums, and
scale.
(Optional: ZOOM, ZOOMStat will automatically adjust the window to fit the data.)
11. Press GRAPH.
Graphing Equations
1. Press y=.
2. Enter the rule that you created.
3. Press GRAPH.
4. Compare the graphs.
(Optional: ZOOM, ZStandard to view the full rectangular coordinate grid.
BColeman 11_2014
Name _____________________________
Growing Geometric Patterns
1st
2nd
3rd
4th
5th
6th
1. Find a pattern in the sequence of figures and use your tiles to construct and sketch
the next three figures.
2. Use your tiles to build the 10th figure for this sequence. Draw a sketch of the figure.
3. a. Describe the pattern in the sequence.
b. Describe precisely how you would build the 20th figure.
c. How many tiles would the figure contain?
4. Complete the table.
Figure
1st
2nd
3rd
4th
5th
6th
…
10th
20th
nth
Number
of Tiles
5. Write a formula (rule) for determining the number of tiles for any figure number n.
6. Explain why your formula works.
BColeman 11_2014