Page 136 - NUMINO Challenge_K2
P. 136
p.22 Arranging Numbers Problem solving p.23
Type Study The numbers from 1 to 16 are arranged in various ways. Find 1 Find the missing numbers when the numbers from 1 to 10
the rule and fill in the missing numbers.
have been arranged in various ways.
1234 1247 1 7
1412 13 5 83 5 11 23 84
6 9 12 14 95 2
11 16 15 6 1310 15 16 45 6 610 3 1
7 8 9 10
710 9 8
Tip
Find how the numbers
are arranged.
2 Write the missing numbers in the colored squares when the
numbers from 1 to 16 have been arranged in various ways.
Principles and Properties of Mathematics in Number Arrangement 1 1 2 5 10
Number arrangement is the numbers that are placed using a set interval or certain order. Number arrangement 23 4 3 6 11
64 5 9 8 7 12
7 8 9 10 16 15 14 13
systems that we may see in our daily lives include airplane seats, library books, calendars, and concert seats. 11 12 13
14 15
16
Understanding the rules hidden within number arrangements will help you discover the coordinates in airplane
seating and the Fibonacci sequence in sunflowers. 1234
When numbers are arranged, the properties of the numbers can be easily seen. For 5678
example, if numbers are arranged as shown on the right, the first column shows numbers 9 10 11 12
that have a remainder of 1 when divided by 4, and the 4th column shows multiples of 4. 13 14 15 16
Many other properties can also be found if numbers are arranged differently.
22 NUMINO Challenge K2 Rules 23
Connect the numbers in increasing order When a line is drawn in order from the
starting from 1. When the numbers are smallest to the greatest number, the
connected, it is easy to see how they number arrangement can be identified.
were arranged.
p.24 Inverted Pyramids Problem solving p.25
Type Study Use the given rule to fill in with the correct numbers. 1 Use the given rule to fill in the rest of the numbers.
Rule Rule 8759
Write the smaller of the two numbers above. Write the difference of the two
69 numbers above. 1 24
6 12
87
269 8 4 1 1
264 Tip
24 The difference of 2
2 and 1 can be
found by 2-1.
Hidden Patterns of the Pascal’s Triangle
2 Numbers were written following a rule. Fill in the missing
Numbers that are arranged in a triangle so that the number connecting two numbers above is the sum of
numbers.
those two numbers is called a Pascal’s Triangle. The following patterns can be found in a Pascal’s Triangle.
53147
In each row, the number is read the same forwards and backwards 1
(11, 121, 1331). 11 1 5347
The sum of each row follows a pattern so that each row is two times 1
the sum of the previous row (1, 2, 4, 8, 16). 21 2 1 45 7
The sum of the numbers of each blue diagonal follows the Fibonacci 57
Sequence. 31 3 3 1
Students will be able to develop their ability to find patterns by 51 4 6 4 1 7
looking at various patterns as in the Pascal’s Triangle. 8 1 5 10 10 5 1
Tip
13 1 6 15 20 15 6 1 Look at the arrangement
24 NUMINO Challenge K2 53
in 5 to find the
pattern or rule.
Rules 25
WThheenucmombeprabrienlgow3 dfoiflfleorwesntaorbujelectsh,amt cehaasnugreeseaacchcorbdjeincgt wtoiththae ftowuorthnuombjbeecrtsthaabtocvaenthaact
aasreacsotnannedcatredd, .aTnhdecreofuonrte,thmeankuemsbuerreotfheeascthudoebnjetscthtaovceoamcplaeraer iunnddireercsttlya.nding of the rule
of the top and the bottom numbers and guide them to fill in the numbers starting from the
top.
7Answer Key
Type Study The numbers from 1 to 16 are arranged in various ways. Find 1 Find the missing numbers when the numbers from 1 to 10
the rule and fill in the missing numbers.
have been arranged in various ways.
1234 1247 1 7
1412 13 5 83 5 11 23 84
6 9 12 14 95 2
11 16 15 6 1310 15 16 45 6 610 3 1
7 8 9 10
710 9 8
Tip
Find how the numbers
are arranged.
2 Write the missing numbers in the colored squares when the
numbers from 1 to 16 have been arranged in various ways.
Principles and Properties of Mathematics in Number Arrangement 1 1 2 5 10
Number arrangement is the numbers that are placed using a set interval or certain order. Number arrangement 23 4 3 6 11
64 5 9 8 7 12
7 8 9 10 16 15 14 13
systems that we may see in our daily lives include airplane seats, library books, calendars, and concert seats. 11 12 13
14 15
16
Understanding the rules hidden within number arrangements will help you discover the coordinates in airplane
seating and the Fibonacci sequence in sunflowers. 1234
When numbers are arranged, the properties of the numbers can be easily seen. For 5678
example, if numbers are arranged as shown on the right, the first column shows numbers 9 10 11 12
that have a remainder of 1 when divided by 4, and the 4th column shows multiples of 4. 13 14 15 16
Many other properties can also be found if numbers are arranged differently.
22 NUMINO Challenge K2 Rules 23
Connect the numbers in increasing order When a line is drawn in order from the
starting from 1. When the numbers are smallest to the greatest number, the
connected, it is easy to see how they number arrangement can be identified.
were arranged.
p.24 Inverted Pyramids Problem solving p.25
Type Study Use the given rule to fill in with the correct numbers. 1 Use the given rule to fill in the rest of the numbers.
Rule Rule 8759
Write the smaller of the two numbers above. Write the difference of the two
69 numbers above. 1 24
6 12
87
269 8 4 1 1
264 Tip
24 The difference of 2
2 and 1 can be
found by 2-1.
Hidden Patterns of the Pascal’s Triangle
2 Numbers were written following a rule. Fill in the missing
Numbers that are arranged in a triangle so that the number connecting two numbers above is the sum of
numbers.
those two numbers is called a Pascal’s Triangle. The following patterns can be found in a Pascal’s Triangle.
53147
In each row, the number is read the same forwards and backwards 1
(11, 121, 1331). 11 1 5347
The sum of each row follows a pattern so that each row is two times 1
the sum of the previous row (1, 2, 4, 8, 16). 21 2 1 45 7
The sum of the numbers of each blue diagonal follows the Fibonacci 57
Sequence. 31 3 3 1
Students will be able to develop their ability to find patterns by 51 4 6 4 1 7
looking at various patterns as in the Pascal’s Triangle. 8 1 5 10 10 5 1
Tip
13 1 6 15 20 15 6 1 Look at the arrangement
24 NUMINO Challenge K2 53
in 5 to find the
pattern or rule.
Rules 25
WThheenucmombeprabrienlgow3 dfoiflfleorwesntaorbujelectsh,amt cehaasnugreeseaacchcorbdjeincgt wtoiththae ftowuorthnuombjbeecrtsthaabtocvaenthaact
aasreacsotnannedcatredd, .aTnhdecreofuonrte,thmeankuemsbuerreotfheeascthudoebnjetscthtaovceoamcplaeraer iunnddireercsttlya.nding of the rule
of the top and the bottom numbers and guide them to fill in the numbers starting from the
top.
7Answer Key
