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Multiplication

Learning to Multiply by 6s

**Learning the 6s**
6 x 0 = 0	6 x 7 = 42
6 x 1 = 6	6 x 8 = 48
6 x 2 = 12	6 x 9 = 54
6 x 3 = 18	6 x 10 = 60
6 x 4 = 24	6 x 11 = 66
6 x 5 = 30	6 x 12 = 72
6 x 6 = 36

A fun way to get used to the 6s time table is to skip count ...

0, 6, 12, 18, 24, 30, 36, 48, 54, 60, 66, 72

Be sure to practice skip counting backwards !

72, 66, 60, 54, 48, 36, 30, 24, 18, 12, 6, 0

**Give the answers, reading across the graph**
6 + 6 = ?	Two 6s = ?	6 x 2 = ?
6 + 6 + 6 = ?	Three 6s = ?	6 x 3 = ?
6 + 6 + 6 + 6 = ?	Four 6s = ?	6 x 4 = ?
6 + 6 + 6 + 6 + 6 = ?	Five 6s = ?	6 x 5 = ?
6 + 6 + 6 + 6 + 6 + 6 = ?	Six 6s = ?	6 x 6 = ?
6 + 6 + 6 + 6 + 6 + 6 + 6 = ?	Seven 6s = ?	6 x 7 = ?

**Give the answers, reading across the graph**
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = ?	Eight 6s = ?	6 x 8 = ?
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = ?	Nine 6s = ?	6 x 9 = ?
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = ?	Ten 6s = ?	6 x 10 = ?
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = ?	Eleven 6s = ?	6 x 11 = ?
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = ?	Twelve 6s = ?	6 x 12 = ?

Practice Problems

**What is the cost of:**
three 6-cent sticks of gum?	six 6-cent cupcakes?
ten 6-cent candy bars?	two 6-cent lemons?
five 6-cent stickers?	eleven 6-cent grapefruits?
twelve 6-cent buttons?	four 6-cent oranges?
seven 6-cent lilies?	eight 6-cent gum drops?
nine 6-cent cookies?	one 6-cent apple?

**See if you can give the answers quickly !**
6 x 0 = ?	6 x 3 = ?
6 x 5 = ?	6 x 10 = ?
6 x 11 = ?	6 x 12 = ?
6 x 4 = ?	6 x 1 = ?
6 x 2 = ?	6 x 6 = ?
6 x 8 = ?	6 x 7 = ?
6 x 9 = ?	6 x 0 = ?

**What is the cost for:**
Six 12-cent chopsticks?	Six 9-cent paper plates?
Six 2-cent ribbons?	Six 4-cent sticky buns?
Six 10-cent toy swords?	Six 5-cent toy airplanes?
Six 3-cent light bulbs?	Six 7-cent pinwheels?
Six 6-cent clocks?	Six 1-cent trading cards?
Six 8-cent pens?	Six 11-cent plums?

How many are six 0s? Six 1s? Six 2s? Six 3s? Six 4s? Six 5s? Six 6s? Six 7s? Six 8s? Six 9s? Six 10s? Six 11s? Six 12s?

Learning to Divide by 6s

Do you remember that the ÷ sign means divide? When we see the ÷ sign we say divided by. Division is a type of reversed multiplication. It just takes a wee bit of practice. (NOTE: 0 divided by any number equals 0)

Be sure to practice skip counting as it helps us to divide quickly ...

0, 6, 12, 18, 24, 30, 36, 48, 54, 60, 66, 72

Be sure to practice skip counting backwards !

72, 66, 60, 54, 48, 36, 30, 24, 18, 12, 6, 0

6 ÷ 0 = 0	36 ÷ 6 = 6
6 ÷ 1 = 6	42 ÷ 6 = 7
6 ÷ 6 = 1	48 ÷ 6 = 8
12 ÷ 6 = 2	54 ÷ 6 = 9
18 ÷ 6 = 3	60 ÷ 6 = 10
24 ÷ 6 = 4	66 ÷ 6 = 11
30 ÷ 6 = 5	72 ÷ 6 = 12

Practice Problems

**Give the missing numbers**
6 ÷ 6 = ?	48 ÷ 6 = ?
12 ÷ 6 = ?	60 ÷ 6 = ?
24 ÷ 6 = ?	18 ÷ 6 = ?
66 ÷ 6 = ?	0 ÷ 6 = ?
54 ÷ 6 = ?	72 ÷ 6 = ?
42 ÷ 6 = ?	30 ÷ 6 = ?
36 ÷ 6 = ?	24 ÷ 6 = ?

**Quickly give the answers working across the graph**
6 = ? 6s	6 = 6 x ?	6 ÷ 6 = ?
18 = ? 6s	18 = 6 x ?	18 ÷ 6 = ?
24 = ? 6s	24 = 6 x ?	24 ÷ 4 = ?
30 = ? 6s	30 = 6 x ?	30 ÷ 6 = ?
42 = ? 6s	42 = 6 x ?	42 ÷ 7 = ?
48 = ? 6s	48 = 6 x ?	48 ÷ 8 = ?
36 = ? 6s	36 = 6 x ?	36 ÷ 6 = ?
54 = ? 6s	54 = 6 x ?	54 ÷ 9 = ?
72 = ? 6s	72 = 6 x ?	72 ÷ 6 = ?
60 = ? 6s	60 = 6 x ?	60 ÷ 10 = ?
66 = ? 6s	66 = 6 x ?	66 ÷ 6 = ?

6s Fact Family

0
6 x 0 = 0	6 ÷ 0 = 0
0 x 6 = 0	0÷ 6 = 0

**1,6**
6 x 1 = 6	6 ÷ 1 = 6
1 x 6 = 6	6 ÷ 6 = 1

**2,6,12**
2 x 6 = 12	12 ÷ 2 = 6
6 x 2 = 12	12 ÷ 6 = 2

**3,6,18**
3 x 6 = 18	18 ÷ 3 = 6
6 x 3 = 18	18 ÷ 6 = 3

**4,6,24**
6 x 4 = 24	24 ÷ 6 = 4
4 x 6 = 24	24 ÷ 4 = 6

**5,6,30**
6 x 5 = 30	30 ÷ 6 = 5
5 x 6 = 30	30 ÷ 5 = 6

**6,36**
6 x 6 = 36	36 ÷ 6 = 6

**7,6,42**
6 x 7 = 42	42 ÷ 6 = 7
7 x 6 = 42	42 ÷ 7 = 6

**8,3,24**
3 x 8 = 24	24 ÷ 3 = 8
8 x 3 = 24	24 ÷ 8 = 3

**9,6,54**
6 x 9 = 54	54 ÷ 6 = 9
9 x 6 = 54	54 ÷ 9 = 6

**10,6,60**
6 x 10 = 60	60 ÷ 6 = 10
10 x 6 = 60	60 ÷ 10 = 6

**11,6,66**
6 x 11 = 66	66 ÷ 6 = 11
11 x 6 = 66	66 ÷ 11 = 6

**12,6,72**
6 x 12 = 72	72 ÷ 6 = 12
12 x 6 = 72	72 ÷ 12 = 6

When one thing or a number of things is divided into six equal parts, each part is called one sixth. One six is written 1/6. We can find 1/6 of any number by dividing the number by 6.

**What is:**
1/6 of 6?	6 ÷ 6 = ?
1/6 of 12?	12 ÷ 6 = ?
1/6 of 18?	18 ÷ 6 = ?
1/6 of 24?	24 ÷ 6 = ?
1/6 of 30?	30 ÷ 6 = ?
1/6 of 36?	36 ÷ 6 = ?
1/6 of 42?	42 ÷ 6 = ?
1/6 of 48?	48 ÷ 6 = ?
1/6 of 54?	54 ÷ 6 = ?
1/6 of 60?	60 ÷ 6 = ?
1/6 of 66?	66 ÷ 6 = ?
1/6 of 72?	72 ÷ 6 = ?

**What is ..**
1/6 of 12 blocks?	1/6 of 24 hats?
1/6 of 36 dollars?	1/6 of 6 kings?
1/6 of 48 lamps?	1/6 of 66 markers?
1/6 of 18 books?	1/6 of 60 kittens?
1/6 of 60 cards?	1/6 of 54 toy soldiers?
1/6 of 72 boxes?	1/6 of 42 games?
1/6 of 28 burgers?	1/6 of 32 butterflies?

**What is ...**
(Hint: Do multiplication first then the addition)
6 x 2 + 1 ?	6 x 8 + 2 ?
6 x 4 + 5 ?	6 x 3 + 4 ?
6 x 12 + 1	6 x 5 + 1 ?
6 x 1 + 4 ?	6 x 10 + 3 ?
6 x 7 + 1 ?	6 x 11 + 2 ?
6 x 10 + 1 ?	6 x 6 + 2 ?
6 x 9 + 3 ?	6 x 0 + 5 ?

Six's trick: If a number can be divided by 2 and 3 evenly, it can be divided by 6. (24 can be divided by 2 since it ends in an even number, 3 x 8 = 24, so you know that 24 can be divided even by 6)

Before you go on to the 7s times tables, be sure to ...

1) Review your skip counting for all the times tables you have done so far
... frontwards and backwards

2) Have your daddy, mama, sister, or brother flash
you all the multiplication/division facts you have learned.
See how fast and accurate you can be !

3) complete the Multiplication Chart for
what you already know !

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