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09Multiplication Tables Unit
tMa erial Colored Pencils, Multiplication Table [A5]
2 . Cut the multiplication table and fold it diagonally to make a triangle. 2. Have students find the patterns present in
the multiplication table by folding it diagonally.
Follow the directions below. What you need 123456789 Multiplication Table (A5)
2 4 6 8 10 12 14 16 18 Students must fold the multiplication table in
123456789 3 6 9 12 15 18 21 24 27 the given direction. If they fold it in the
4 8 12 16 20 24 28 32 36 opposite direction, they will not be able to find
5 10 15 20 25 30 35 40 45 the answers to the questions.
6 12 18 24 30 36 42 48 54
7 14 21 28 35 42 49 56 63
8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81
2 4 6 8 10 12 14 16 18
3 6 9 12 15 18 21 24 27
4 8 12 16 20 24 28 32 36
5 10 15 20 25 30 35 40 45
6 12 18 24 30 36 42 48 54
7 14 21 28 35 42 49 56 63
8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81
a. Write all the numbers on the diagonal line.
Talk about what you found.
1, 4, 9, 16, 25, 36, 49, 64, 81
All the numbers on this diagonal are products of 2 numbers that are the same.
b. Write the most number of times one number appears and find all
the numbers that appear the most.
Talk about their characteristics.
Numbers that appear the most appear 4 times.
6, 8, 12, 18, 24
Besides 8, they are all multiples of 6. They are all even numbers.
c. Talk about other things you found.
As the numbers get higher, they appear fewer times.
9. Multiplication Tables 85
Find the Patterns in the Multiplication Table 123456789
You can find the rules of how the numbers increase when they 2 4 6 8 10 12 14 16 18
are multiplied. 3 6 9 12 15 18 21 24 27
When you fold the multiplication table in half along the diagonal 4 8 12 16 20 24 28 32 36
line, you can see that the numbers on the two sides are the 5 10 15 20 25 30 35 40 45
same. Seeing this pattern will help students understand 6 12 18 24 30 36 42 48 54
Commutative Property of Multiplication. 7 14 21 28 35 42 49 56 63
Example: 4 2 2 4, 6 3 3 6, 4 8 8 4 8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81
3A Unit 09 135
tMa erial Colored Pencils, Multiplication Table [A5]
2 . Cut the multiplication table and fold it diagonally to make a triangle. 2. Have students find the patterns present in
the multiplication table by folding it diagonally.
Follow the directions below. What you need 123456789 Multiplication Table (A5)
2 4 6 8 10 12 14 16 18 Students must fold the multiplication table in
123456789 3 6 9 12 15 18 21 24 27 the given direction. If they fold it in the
4 8 12 16 20 24 28 32 36 opposite direction, they will not be able to find
5 10 15 20 25 30 35 40 45 the answers to the questions.
6 12 18 24 30 36 42 48 54
7 14 21 28 35 42 49 56 63
8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81
2 4 6 8 10 12 14 16 18
3 6 9 12 15 18 21 24 27
4 8 12 16 20 24 28 32 36
5 10 15 20 25 30 35 40 45
6 12 18 24 30 36 42 48 54
7 14 21 28 35 42 49 56 63
8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81
a. Write all the numbers on the diagonal line.
Talk about what you found.
1, 4, 9, 16, 25, 36, 49, 64, 81
All the numbers on this diagonal are products of 2 numbers that are the same.
b. Write the most number of times one number appears and find all
the numbers that appear the most.
Talk about their characteristics.
Numbers that appear the most appear 4 times.
6, 8, 12, 18, 24
Besides 8, they are all multiples of 6. They are all even numbers.
c. Talk about other things you found.
As the numbers get higher, they appear fewer times.
9. Multiplication Tables 85
Find the Patterns in the Multiplication Table 123456789
You can find the rules of how the numbers increase when they 2 4 6 8 10 12 14 16 18
are multiplied. 3 6 9 12 15 18 21 24 27
When you fold the multiplication table in half along the diagonal 4 8 12 16 20 24 28 32 36
line, you can see that the numbers on the two sides are the 5 10 15 20 25 30 35 40 45
same. Seeing this pattern will help students understand 6 12 18 24 30 36 42 48 54
Commutative Property of Multiplication. 7 14 21 28 35 42 49 56 63
Example: 4 2 2 4, 6 3 3 6, 4 8 8 4 8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81
3A Unit 09 135
