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Pattern equations (tiles and toothpicks)
供稿人: Heinrich
Use these tiles to answer the following questions
Figure 1
tile #
fig #
Find the number of tiles in each figure
Figure 2
1
Figure 3
2
3
tile #  f(n)
Figure 1
fig # n
Complete the rest of the table
Figure 2
1
3
Figure 3
2
5
3
7
Figure 1
How many tiles will be in figure 0?
How many tiles will be in figure 4?
Figure 2
Figure 3
Figure 1
The figures are                      by
and the zero figure had              tile(s).
Figure 2
growing 
shrinking 
Figure 3
Figure 1
Write out the explicit rule for the pattern
f(n) =
Figure 2
Please write this ruledown, you cannot, scroll backwards!
Figure 3
Figure 1
Determine how many tiles in figure 50
Determine how many tiles in figure 82
Figure 2
Figure 3
Use these tiles to answer the following questions
Figure 2
tile #
fig #
Find the number of tiles in each figure
Figure 3
Figure 4
2
3
4
Use these tiles to answer the following questions
Figure 2
tile #
fig #
Complete the rest of the table
Figure 3
Figure 4
6
2
8
3
10
4
Figure 2
Determine how many tiles in figure 0
Determine how many tiles in figure 5
Figure 3
Figure 4
Figure 2
The figures are                      by
and the zero figure had              tile(s).
Figure 3
growing 
shrinking 
Figure 4
Figure 2
Write out the explicit rule for the pattern
f(n) =
Figure 3
Please write this ruledown, you cannot, scroll backwards!
Figure 4
Figure 2
Determine how many tiles in figure 70
Determine how many tiles in figure 93
Figure 3
Figure 4
Use these toothpick structures to answer the following questions
    # of
toothpicks
fig #
Find the number of toothpicks in each figure
Figure 2
toothpick
toothpicks
Figure 3
2
3
Figure 4
4
Use these toothpick structures to answer the following questions
    # of
toothpicks
fig #
Figure 2
Complete the rest of the table
Figure 3
11
2
20
3
Figure 4
29
4
The figures are                      by            toothpicks
and the zero figure had              toothpick(s).
Remember, these are toothpicks!
Figure 2
growing 
shrinking 
Figure 3
Figure 4
Write out the explicit rule for the pattern
Remember, these are toothpicks!
Figure 2
f(n) =
Figure 3
Please write this ruledown, you cannot, scroll backwards!
Figure 4
Remember, these are toothpicks!
How many toothpicks in figure 30
How many toothpicks in figure 54
Figure 2
Figure 3
Figure 4
    # of
toothpicks
fig #
Find the number of toothpicks in each figure
Use these toothpick structures to answer                             the following questions
Figure 4
Figure 5
4
Figure 6
5
    # of
toothpicks
fig #
Complete the rest of the table
Use these toothpick structures to answer                             the following questions
Figure 4
Figure 5
23
4
Figure 6
17
5
The figures are                      by            toothpicks
and the zero figure had              toothpick(s).
Remember, these are toothpicks!
Figure 4
growing 
shrinking 
Figure 5
Figure 6
Write out the explicit rule for the pattern
Remember, these are toothpicks!
f(n) =
Figure 4
Figure 5
Please write this ruledown, you cannot, scroll backwards!
Figure 6
Remember, these are toothpicks!
Figure 4
Figure 5
f(20) = 
f(-18) =
Figure 6
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