Transcript Staircase Towers • Write down what the pattern is, using complete sentences. • How many cubes will there be in the 10th tower? • How.

Staircase Towers
• Write down what the pattern is, using
complete sentences.
• How many cubes will there be in the 10th
tower?
• How many cubes will there be in the nth tower?
• Explain how you know your formula works (in
complete sentences).
TOWER 1
TOWER 2
TOWER 3
TOWER 4
• On a clean sheet of printer paper show the
relation between the tower number and the
number of cubes, in each of the 5
representations:
1. Pictorially
2. Verbally
3. Table
4. Formula
5. Graphically
Growing Dots
At the
beginning
At one minute
At two minutes
Growing Dots
At the
beginning
At one minute
New each time
At two minutes
Growing Dots
At the
beginning
At one minute
New each time
Constant center dot
At two minutes
Growing Dots
At the
beginning
At one minute
At two minutes
New each time
Constant center dot
The dot started with one single dot.
Every time the dot got surrounded by 4
and each time they stacked to make an x.
Growing Dots
At the
beginning
At one minute
At two minutes
New each time
Constant center dot
The pattern started with one single dot.
Every time the dot got surrounded by 4
and each time they stacked to make an x.
Growing Dots
At the
beginning
At one minute
At two minutes
New each time
Constant center dot
The pattern started with one single dot.
Every time the dot got surrounded by 4
more dots and each time they stacked to
make an x.
Growing Dots
At the
beginning
At one minute
At two minutes
Growing Dots-total dots at a given minute
15
y
14
13
12
New each time
Constant center dot
The pattern started with one single dot.
Every time the dot got surrounded by 4
more dots and each time they stacked to
make an x.
How many dots that
get added each time
Total Dots
11
+1
10
9
8
7
6
+4
5
4
3
2
1
The center dot that is
always there
𝑦 =𝑡 4 +1
y=total dots
t=minutes
1
2
3
4
5
6
7
Minutes
+1
+1
+1
Min
Dots
0
1
1
5
2
9
3
13
+4
+4
+4
8