Page 161 - NUMINO Challenge_D1

Answer
Key

5 13 21 34 ways Problem solving

Problem solving 1 Draw a picture to solve the problem.

1 To get to the 3rd step, you must go 2 steps Start (1)
After 1 minute (1)
from the 1st step, or 1 step from the 2nd step. After 2 minutes (2)
So, in order to get to the 10th step, you must After 3 minutes (3)
go 2 steps from the 8th step, or 1 step from the After 4 minutes (5)
9th step. If you write this in a number sequence, The number of bacteria increases in a Fibonacci
it is 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. sequence of 1, 1, 2, 3, 5, 8, 13, 21, 34.
Therefore, there are 89 ways to reach the top Therefore, there are 34 bacteria in the box after
( the 10th step). 8 minutes.

2 Ways to get to 2 : 1 way 2 The length of the sides increases in a Fibonacci

Ways to get to 3 : 2 ways sequence of 2, 2, 4, 6, 10, 16, 26, 42, 68.
Ways to get to 4 : 1 way from 2 and 2 ways Therefore, the length of the side of the 9th
square is 68 cm.
from 3 3 ways
Ways to get to 5 : 2 ways from 3 and 3 Creative Thinking p.100~p.101

ways from 4 5 ways 1 This number sequence is a reversed Fibonacci
If you write this in a number sequence, it is 1, 2,
3, 5, 8, 13, which is a Fibonacci sequence. sequence. Therefore, the number in is
Therefore, there are 13 ways to get to 7 .
21 13 8.

Type 11-2 Increase of Germs p.98~p.99 2 To fill a 1 2 rectangle, you can use or

.

1 To fill a 1 3 rectangle, you can use

or .
To fill a 1 4 rectangle, you can use

or .

To fill a 1 8 rectangle, you can use

Day 5 Day 6 or

.

2 Days 1 2 3 4 5 6 So the number sequence is a Fibonacci
Number of Germs 1 1 2 3 5 8 sequence of 1, 2, 3, 5, 8, 13, 21, 34.
Therefore, there are 34 ways to fill a 1 8
3 5, 8, 13, 21, 34 rectangle.

4 21 34 55 germs

NUMINO Challenge D1