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Multiplication

 

 

Learning to Multiply by 12s

 

Vocabulary Words:  One Dozen = 12, Gross = 144 (12 x 12)

 

 

Learning the 12s
 12 x 0 = 0  12 x 7 = 84
 12 x 1 = 12  12 x 8 = 96
 12 x 2 = 24  12 x 9 = 108
 12 x 3 = 36  12 x 10 = 120
 12 x 4 = 48  12 x 11 = 132
 12 x 5 = 60  12 x 12 = 144
 12 x 6 = 72  

 

A fun way to get used to the 12s time table is to skip count ...

0, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Be sure to practice skip counting backwards !

144, 132, 120, 108, 96, 84, 72, 60, 48, 36, 24, 12, 0

 

Give the answers, reading across the graph
 12 + 12 = ?  Two 12s = ?  12 x 2 = ?
 12 + 12 + 12 = ?  Three 12s = ?  12 x 3 = ?
 12 + 12 + 12 + 12 = ?  Four 12s = ?  12 x 4 = ?
 12 + 12 + 12 + 12 + 12 = ?  Five 12s = ?  12 x 5 = ?
 12 + 12 + 12 + 12 +12 + 12 = ?  Six 12s = ?  12 x 6 = ?
 12 + 12 + 12 + 12 + 12 + 12 + 12 = ?  Seven 12s = ?  12 x 7 = ?

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

Practice Problems

What is the cost of:
 three 12-cent radishes?  six 12-cent citrus fruits?
 ten 12-cent tomatos?  two 12-cent grapes?
 five 12-cent potatos?  eleven 12-cent pears?
 twelve 12-cent bananas?  four 12-cent peaches?
 seven 12-cent grapefruits?  eight 12-cent raspberries?
 nine 12-cent oranges?  one 12-cent blueberry?

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

What is the cost for:
 Twelve 12-cent flashlights?  Twelve 9-cent sparklers?
 Twelve 2-cent candles?  Twelve 4-cent toy house lamps?
 Twelve 10-cent kerosene lamps?  Twelve 5-cent fireflies?
 Twelve 3-cent nightlights?  Twelve 7-cent electric eels?
 Twelve 6-cent penlights?  Twelve 1-cent light bulb?
 Twelve 8-cent campfire logs?  Twelve 11-cent neon light?

How many are in ...
(Remember:  1 dozen = 12)
(Hint: ___ x 12 = ___)
 2 dozen raisins = ?  1 dozen chocolate bars = ?
 12 dozen roses = ?  0 dozen lima beans = ?
 9 dozen shells = ?  10 dozen pounds of fudge = ?
 3 dozen eggs = ?  4 dozen lollipops = ?
 11 dozen jellybeans = ?  5 dozen sugar cookies = ?
 6 dozen crackers = ?  8 dozen peppermint sticks = ?
 7 dozen cookies = ?  12 dozen sweetmeats = ?

 

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

 

 

Learning to Divide by 12s

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, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

Be sure to practice skip counting backwards !

144, 132, 120, 108, 96, 84, 72, 60, 48, 36, 24, 12, 0

 

 12 ÷ 0 = 0  72 ÷ 12 = 6
 12 ÷ 1 = 12  84 ÷ 12 = 7
 12 ÷ 12 = 1  96 ÷ 12 = 8
 24 ÷ 12 = 2  108 ÷ 12 = 9
 36 ÷ 12 = 3  120 ÷ 12 = 10
 48 ÷ 12 = 4  132 ÷ 12 = 11
 60 ÷ 12 = 5  144 ÷ 12 = 12

Practice Problems

Give the missing numbers
 12 ÷ 12 = ?  72 ÷ 12 = ?
 24 ÷ 12 = ?  132 ÷ 12 = ?
 36 ÷ 12 = ?  48 ÷ 12 = ?
 108 ÷ 12 = ?   0 ÷ 12 = ?
 96 ÷ 12 = ?  144 ÷ 12 = ?
 120 ÷ 12 = ?  84 ÷ 12 = ?
 60 ÷ 12 = ?  132 ÷ 11 = ?

Quickly give the answers working across the graph
 12 = ? 12s

 12 = 12 x ?
  12 ÷ 12 = ?
 36 = ? 12s

 36 = 12 x ?
  36 ÷ 12 = ?
 48 = ? 12s

 48 = 12 x ?
  48 ÷ 4 = ?
 60 = ? 12s

60 = 12 x ? 
  60 ÷ 12 = ?
 84 = ? 12s

 84 = 12 x ?
  84 ÷ 7 = ?
 96 = ? 12s

 96 = 12 x ?
  96 ÷ 12 = ?
 24 = ? 12s

 24 = 12 x ?
  24 ÷ 12 = ?
 108 = ? 12s

 108 = 12 x ?
  108 ÷ 12 = ?
 120 = ? 12s

120 = 12 x ?
  120 ÷ 10 = ?
 144 = ? 12s

 144 = 12 x ?
  121 ÷ 12 = ?
 132 = ? 12s

 132 = 12 x ?
  132 ÷ 12 = ?
 72 = ? 12s

 72 = 12 x ?
  72 ÷ 12 = ?

 

12s Fact Family

 

0
 12 x 0 = 0  12 ÷ 0 = 0
 0 x 12 = 0  0 ÷ 12 = 0

1,12
 12 x 1 = 12  12 ÷ 1 = 12
 1 x 12 = 12  12 ÷ 12 = 1

2,12,24
 2 x 12 = 24  24 ÷ 2 = 12
 12 x 2 = 24  24 ÷ 12 = 2

3,12,36
  3 x 12 = 36  36 ÷ 3 = 12
  12 x 3 = 36  36 ÷ 12 = 3

4,12,48
 12 x 4 = 48   48 ÷ 12 = 4
 4 x 12 = 48  48 ÷ 4 = 12

5,12,60
 12 x 5 = 60  60 ÷ 12 = 5 
 5 x 12 = 60  60 ÷ 5 = 12

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

7,12,84
 12 x 7 = 84  84 ÷ 7 = 12
 7 x 12 = 84  84 ÷ 12 = 7

8,12,96
 12 x 8 = 96  96 ÷ 8 = 12
 8 x 12 = 96  96 ÷ 12 = 8

9,12,108
 12 x 9 = 108  108 ÷ 9 = 12
 9 x 12 = 108  108 ÷ 12 = 9

10,12,120
 12 x 10 = 120  120 ÷ 10 = 12 
 10 x 12 = 120  120 ÷ 12 = 10

11,12,132
 11 x 12 = 132  132 ÷ 11 = 12
 12 x 11 = 132  132 ÷ 12 = 11

12,12,144
 12 x 12 = 144  144 ÷ 12 = 12

 

When one thing or a number of things is divided into twelve equal parts, each part is called one twelveth.  One twelveth is written 1/12.  We can find 1/12 of any number by dividing the number by 12.

 

What is:
(Hint: Read across the graph)
 1/12 of 12?  12 ÷ 12 = ?
 1/12 of 24?  24 ÷ 12 = ?
 1/12 of 36?  36 ÷ 12 = ?
 1/12 of 60?  60 ÷ 12 = ?
 1/12 of 48?  48 ÷ 12 = ?
 1/12 of 96?  96 ÷ 12 = ?
 1/12 of 72?  72 ÷ 12 = ?
 1/12 of 84?  84 ÷ 12 = ?
 1/12 of 108?  108 ÷ 12 = ?
 1/12 of 120?  120 ÷ 12 = ?
 1/12 of 132?  132 ÷ 12 = ?
 1/12 of 144?  144 ÷ 12 = ?
 1/12 of 60?  60 ÷ 12 = ?

What is ...
 1/12 of 24 glue sticks?  1/12 of 48 cut outs?
 1/12 of 96 bottles of paint?  1/12 of 12 stamps?
 1/12 of 84 brushes?  1/12 of 108 markers?
 1/12 of 36 easels?  1/12 of 60 color pencils?
 1/12 of 120 pipe cleaners?  1/12 of 144 bags of clay?
 1/12 of 132 construction papers?  1/12 of 72 clay molds?

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

 

Now that you are done,

 

1)  Review your skip counting for all the times tables you have done
... 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 !  See how long
it takes you to complete it !

 

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