Introduction
The multiplication facts in this album are presented in the order that most
students find easiest to learn. We start with the 2s, 5s, 10s, and 11s tables on
the first level of the Multiplication Mountain.
With each fact you learn on the first level, you learn a fact you will find
further up the mountain. For example, because 2 x 9 = 18, and 9 x 2 = 18,
you learn a 2x fact and a 9x fact at the same time!
Multiplication facts are easy to learn if you slowly but steadily climb the
Multiplication Mountain. Start on the bottom and climb from left to right.
With every step there is one less fact to learn, and by the time you’ve
climbed the mountain and reached the sun... you only have one fact to learn:
12 x 12 is 144. Enjoy the climb!
Each table has its own catchy song to help you memorize the facts. Lots
of musical styles are included to make the climb interesting and fun.
Notes and Helpful Hints
The times tables are presented in the order most students find easiest to
learn. However, for some students, this exact order may not be the best. For
example, some students may find the 4s easier than the 9s, or the 7s easier
than the 8s. You can change the order to fit the needs of the student(s) with
whom you are working.
Numbers in parenthesis ( ) are versions with no answers. These fill-in-the-blanks versions can be used after the student has learned the particular time
table or as a diagnostic test.
Track 26 is an instrumental version of “Shake Up The Tables” where
teacher and students can choose the facts and sing them with the musical
accompaniment.
You can use music in combination with other learning methods such as
movement activities, pictures, and rhymes. This teaching guide presents
activities to accommodate different learning styles.
The ideas in this guide are suggestions. Feel free to adapt and change them
to fit your environment and meet the needs of the students.
1. The Twos Give You Twice
Words and Music by Hap Palmer
This song shows that multiplying by twos is
the same as doubling a quantity. The melody
is in the form of a 12 bar blues with a
swinging shuffle beat.
Lyrics:
The twos give you twice what you had before
From one to two and two to four
All you have to do is double every number
A five foot board becomes ten feet of lumber
A six bar tune becomes a twelve bar blues
You can double any number you choose
2 x 1 is 2, 2 x 2 is 4, 2 x 3 is 6
2 x 4 is 8, 2 x 5 is 10, 2 x 6 is 12
2 x 7 is 14, 2 x 8 is 16, 2 x 9 is 18
2 x 10 is 20, 2 x 11 is 22, 2 x 12 is 24
The pattern stays stable through the whole twos table
And on and on Just as long as you’re able
You can multiply a million
You can multiply a billion
You can double any number you choose
Repeat Tables
Double three bees you get six bees buzzin’
Double six cakes you get twelve makes a dozen
‘Cuz the twos give you twice what you had before
From just two cups you get four to pour
A five day trip becomes a ten day cruise
You can double any number you choose
Back
to Titles
2. Tens Trip Off Your Tongue
Words and Music by Hap Palmer
The tens are among the easiest tables for
children to learn. Multiplying by 10 is as easy
as counting by 10s, and that’s how we open
this reggae/calypso flavored tune.
Lyrics:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, and I guess that’s plenty
The tens just trip right off of your tongue
It’s the easiest thing that you’ve ever done
The simplest song you’ve ever sung
The tens just trip right off of your tongue
10 x 1 is 10, 10 x 2 is 20, 10 x 3 is 30
10 x 4 is 40, 10 x 5 is 50, 10 x 6 is 60
10 x 7 is 70, 10 x 8 is 80, 10 x 9 is 90
10 x 10 is 100, 10 x 11 is 110, 10 x 12 is 120
Repeat Tables
The tens just trip right off of your tongue
It’s the easiest thing that you’ve ever done
The simplest song you’ve ever sung
The tens just trip right off of your tongue
Ooh la, la, la, la, la, la, la
Back
to Titles
3.
Fives Alive
Words and Music by Hap Palmer
The fives have a simple pattern that is easily learned. Here the facts are sung with a jazzy
rhythm interspersed by improvised solos on
piano, saxophone and trumpet.
Lyrics:
Fives can be exciting
And music makes them fun
And with a jazzy jive
We bring the fives alive
Join in everyone!
5 x 1 is 5, 5 x 2 is 10, 5 x 3 is 15
5 x 4 is 20, 5 x 5 is 25, 5 x 6 is 30
5 x 7 is 35, 5 x 8 is 40, 5 x 9 is 45
5 x 10 is 50, 5 x 11 is 55, 5 x 12 is 60
Fives can be exciting
And music makes them fun
And with a jazzy jive
We bring the fives alive
Join in everyone!
Repeat Tables
Fives can be exciting
And music makes them fun
And with a jazzy jive
We bring the fives alive
Join in everyone
I really mean it
Hey! Let’s bring the fives alive!
Back
to Titles
4.
Elevens Have Those Doubles
Words and Music by Hap Palmer
The elevens are another easy table to learn
because of the double numbers that make up
most of the answers. Only 3 facts need to be
memorized: 11 x 10 = 110, 11 x 11 = 121,
and 11 x 12 = 132.
Lyrics:
Elevens have those doubles
And they’re hardly any trouble
You can learn them in no time
‘Cause there’s a rhythm and a rhyme
Like twenty-two and thirty-three
It’s so easy don’t you see
You’ll be surprised how fast they’re memorized
11 x 1 is 11, 11 x 2 is 22, 11 x 3 is 33
11 x 4 is 44, 11 x 5 is 55, 11 x 6 is 66
11 x 7 is 77, 11 x 8 is 88, 11 x 9 is 99
11 x 10 is 110, 11 x 11 is 121
11 x 12 is 132
Elevens have those doubles
And they’re hardly any trouble
You can learn them in no time
‘Cause there’s a rhythm and a rhyme
Like twenty-two and thirty-three
It’s so easy don’t you see
You’ll be surprised how fast they’re memorized
Repeat Verse One and Tables
Back
to Titles
5.
Waltzing Through The Threes
Words and Music by Hap Palmer
The rhythm of a waltz is a series of repeating
3 counts. It is an especially appropriate form
for singing the threes table. The 3/4 time
meter and a rich orchestral sound give a
change of pace that helps achieve one of the
important goals of this recording: to provide
musical variety and make each table unique
and memorable.
Lyrics:
One, two, three, one, two, three
Waltzing with ease
The rhythm repeats
In groups of three beats
One, two, three, one, two, three
Math is a breeze
When waltzing through the threes
3 x 1 is 3, 3 x 2 is 6, 3 x 3 is 9
3 x 4 is 12, 3 x 5 is 15, 3 x 6 is 18
3 x 7 is 21, 3 x 8 is 24, 3 x 9 is 27
3 x 10 is 30, 3 x 11 is 33, 3 x 12 is 36
Repeat Verse One and Tables
One, two, three, one, two, three
Math is a breeze
When waltzing through the threes
Back
to Titles
6. Number Nine Rollin’ Down The Line
Words and Music by Hap Palmer
The nines can be challenging, but when the
pattern is recognized, the task becomes easy.
With each answer, the tens digit goes up one
and the ones digit goes down one – e.g. 18,
27, 36. Activities for showing this pattern are
presented on page 11 of this guide. The
musical style of the nines song is a fusion of
rock and country - a form that is often
called “rockabilly.”
Lyrics:
The number nine is rolling down the line
Heading on down to Caroline
I’m counting the cars as they roll on by
Strummin’ my guitar as I multiply
9 x 1 is 9, 9 x 2 is 18, 9 x 3 is 27
9 x 4 is 36, 9 x 5 is 45, 9 x 6 is 54
9 x 7 is 63, 9 x 8 is 72, 9 x 9 is 81
9 x 10 is 90, 9 x 11 is 99, 9 x 12 is 108
The number nine is rolling down the line
Pulling ninety-nine boxcars right behind
She’ll grab nine more down in Baltimore
That’s a hundred eight and she can’t be late
Repeat Tables and Verse 3
Got to keep on rollin’ so she won’t be late
7. Rockin’ The Fours
Words and Music by Hap Palmer
It’s easy to find things that come in groups of
four: the legs on a chair, the paws on a bear,
and the sides of a square. Couple this with
the fact that most popular music is in 4/4 time
and you have the theme of this song: fours are
everywhere!
Lyrics:
With four legs on a chair
Four paws on a bear
Four sides on a square
Fours are everywhere
With four counts to the bar
And a wailing guitar
We go one, two, three, four
Rockin’ the fours
4 x 1 is 4, 4 x 2 is 8, 4 x 3 is 12
4 x 4 is 16, 4 x 5 is 20, 4 x 6 is 24
4 x 7 is 28, 4 x 8 is 32, 4 x 9 is 36
4 x 10 is 40, 4 x 11 is 44, 4 x 12 is 48
With four legs on a bed
Four walls on a shed
Four paws on a hound
Fours are all around
Repeat Verse 2 and Tables
Back
to Titles
8. Let’s Multiply By Six
Words and Music by Hap Palmer
A guitar has six strings and is an ideal image
to show multiplication by six. This song opens
with the six strings of a guitar being plucked
one at a time. More guitars are gradually
added until six guitars (36 strings) are strumming. When the rest of the bluegrass band
joins in, we’re ready to sing the six tables.
Lyrics:
One guitar has six strings
Two guitars have twelve
Three guitars have eighteen
And four have twenty-four
Five guitars have thirty strings
Six have thirty-six
Now as each player plucks and picks
Let’s multiply by six
6 x 1 is 6, 6 x 2 is 12, 6 x 3 is 18
6 x 4 is 24; Now let’s do some more
6 x 5 is 30, 6 x 6 is 36, 6 x 7 is 42
6 x 8 is 48; Hey, you’re doin’ great!
6 x 9 is 54, 6 x 10 is 60, 6 x 11 is 66
6 x 12 is 72; Yes, you know it’s true
We’re learning multiples of six
With music every answer sticks
And as each player plucks and picks
We multiply by six
Repeat Tables and Last Verse
Back
to Titles
9. Eights – Shimmy, Shimmy Shake
Words and Music by Hap Palmer
This song is built around a series of electronic
rhythm loops that combine to form a poly-rhythmic groove that motivates learners to
memorize the 8s. It’s even more fun when you
dance and sing along at the same time!
Lyrics:
We shimmy, shimmy shake
As we multiply by eight
With a hyper-funky beat
That really motivates
We get up in the morning
Feeling, oh, so great
Movin’ with the rhythm
That the band creates
8 x 1 is 8, 8 x 2 is 16, 8 x 3 is 24
8 x 4 is 32, 8 x 5 is 40, 8 x 6 is 48
8 x 7 is 56, 8 x 8 is 64, 8 x 9 is 72
8 x 10 is 80, 8 x 11 is 88, 8 x 12 is 96
Repeat First Verse and Tables
We shimmy, shimmy shake
As we multiply by eight
With a hyper-funky beat
That really motivates
Everyone to join the fun
And learn the eights!
Back
to Titles
10. Sevens – Almost To The Top
Words and Music by Hap Palmer
The sevens are placed at the top of the
mountain because they are often the hardest
to learn. The melody gradually modulates
upward to give the feeling of climbing a
mountain. The style is “cool jazz” and the
tempo is not too fast, providing ample
response time to sing the answer.
Lyrics:
We’re almost to the top of Multiplication Mountain
The sevens are the tables that’ll take us there
We’re almost to the top of Multiplication Mountain
The sevens are the tables that’ll take us there
With the seven times we can make the climb
And the sevens are the tables that’ll take us there
7 x 1 is 7, 7 x 2 is 14, 7 x 3 is 21
7 x 4 is 28, 7 x 5 is 35, 7 x 6 is 42
7 x 7 is 49, 7 x 8 is 56, 7 x 9 is 63
7 x 10 is 70, 7 x 11 is 77, 7 x 12 is 84
Repeat First Verse and Tables
Oh we’ve made it to the top of Multiplication Mountain
The sevens are the tables that took us there
We’ve made it to the top of Multiplication Mountain
The sevens are the tables that took us there
With the seven times we’ve made the climb
And the sevens are the tables that took us there
Back
to Titles
11. Twelves – Reach For The Sun
Words and Music by Hap Palmer
When you’ve climbed the Multiplication
Mountain, you’re ready to reach for the sun
and do the twelves. Best of all, you’ve already
learned the twelves on your journey up the
mountain. Just reverse the multipliers with
each fact you hear. The answer stays the same.
For example, if you hear “2 x 12 is 24,” say,
“12 x 2 is 24.” There is only one new fact you
need to learn: 12 x 12 is 144.
Lyrics:
The twelves are the tables
Where you reach for the sun
You’ve made it to the top
And you’re almost done
Just take the facts you already know
Turn ‘em around and you’re ready to go
1 x 12 is 12, 12 x 1 is 12
2 x 12 is 24, 12 x 2 is 24
3 x 12 is 36, 12 x 3 is 36
Take the facts you already know
Turn ‘em around and you’re ready to go
4 x 12 is 48, 12 x 4 is 48
5 x 12 is 60, 12 x 5 is 60
6 x 12 is 72, 12 x 6 is 72
7 x 12 is 84, 12 x 7 is 84
8 x 12 is 96, 12 x 8 is 96
9 x 12 is 108, 12 x 9 is 108
Take the facts you already know
Turn ‘em around and you’re ready to go
10 x 12 is 120, 12 x 10 is 120
11 x 12 is 132, 12 x 11 is 132
12 x 12 is 144
One hundred forty-four
You’ve done them all
And you’re ready to soar!
The twelves are the tables
Where you reach for the sun
You’ve made it to the top
And you’re almost done
The twelves are the tables
Where you reach for the sun!
Back
to Titles
12. Fours Bonus – Twelve Race Cars
Words and Music by Hap Palmer
This is another way of looking at the fours.
It’s one of the two song ideas I had for
presenting the fours tables. I couldn’t decide
which approach I preferred so I polled the
students and teachers. The vote came out
almost even, so I decided to keep both and
include this one as a bonus song.
Lyrics:
Each race car has four wheels
‘Round the race track engines roar
How many wheels are rolling by?
Let’s multiply the cars by four
4 x 1 is 4, 4 x 2 is 8, 4 x 3 is 12
4 x 4 is 16, 4 x 5 is 20, 4 x 6 is 24
4 x 7 is 28, 4 x 8 is 32, 4 x 9 is 36
4 x 10 is 40, 4 x 11 is 44, 4 x 12 is 48
Multiplication by four reveals
Twelve race cars have forty-eight wheels
Count the cars and multiply
Four times twelve and you’ll know why
Twelve race cars have forty-eight wheels
Repeat Tables
Multiplication by four reveals
Twelve race cars have forty-eight wheels
Count the cars and multiply
Four times twelve and you’ll know why
Twelve race cars have forty-eight wheels
Back
to Titles
13. Shake Up The Tables
Words and Music by Hap Palmer
The challenge with this song is to call out the
answers when the facts are presented in a
random order. This version has 24 of the
easier facts. There are only 6 answers for
all 24 facts: 12 18 20 24 30 40. You can easily
put out number cards and play the game
“Point To The Product”.
The first goal of this song is to show that you
can reverse the multipliers and the answer
remains the same. Students listen to each
problem then reverse the multipliers and sing
it back. They call out the answer in the short
instrumental break which follows.
Lyrics:
Shake ‘em up, mix ‘em up
Shake up the tables is the game we play
Shake ‘em up, mix ‘em up
It’s fun to hear them in a different way
2 x 6, 6 x 2, 10 x 4, 4 x 10, 2 x 9, 9 x 2
You can change them and rearrange them in any order you choose
5 x 6, 6 x 5, 3 x 4, 4 x 3, 5 x 8, 8 x 5
You can change them and rearrange them in any order you choose
Repeat First Verse
2 x 12, 12 x 2, 10 x 3, 3 x 10, 5 x 4, 4 x 5
You can change them and rearrange them in any order you choose
3 x 6, 6 x 3, 2 x 10, 10 x 2, 3 x 8, 8 x 3
You can change them and rearrange them in any order you choose
Follow-up:
Track #26 has instrumental verses
for this song where you can choose the facts,
mix them up any way you wish, and sing them
with the musical accompaniment. You can use
problems that are more challenging to learn.
For example: 6 x 7, 7 x 6, 6 x 9, 9 x 6, 7 x 8,
8 x 7, 7 x 9, 9 x 7, 8 x 9, 9 x 8, 6 x 12, 12 x 6.
There are only 5 answers for all 12 facts:
42, 54, 56, 63, 72.
Back
to Titles
Multiplication Activities
Any of these activities can be used with any
of the tables. I have found that some activities
work especially well with certain tables and
have listed these under a “Best for” heading.
However, you may come to different
conclusions based on your situation and the
students with whom you are working. Feel
free to try different possibilities.
Read And Sing
Materials: Multiplication facts and words to
the song are displayed in large print on poster
board.
Activity: Students receive both visual and
auditory input as they read the lyric and sing
along with the music.
Best for: All tables
Point To The Product
Materials: Number cards with products
(answers) to a times table family. Number
cards can be easily made using cardboard
and felt pen.
Setting: Hang answers on the walls around
the room.
Activity: Students listen to each multiplication
problem, then face and point to the product.
Best for: Twos, Threes, Sevens, Eights, Nines,
and "Shake Up The Tables".
Hold Up The Answer
Materials: Number cards with answers to a
times table family. Example 8s: 8, 16, 24, 32, 40,
48, 56, 64, 72, 80, 88, 96.
Setting: 12 students seated on the floor, or in
chairs. Each student has a number card.
Activity: Direct the students to: “Stand up
when the card you are holding answers a
multiplication problem.”
Variation: To make this an individual activity,
place the cards in a circle on the floor. The
student stands inside the circle of number
cards and holds up the card that answers
each problem.
Best for: All tables.
Run To The Answer
Materials: 12 number cards with answers to
problems in a fact family.
Setting: The number cards are placed on the
floor in a random order in an open area.
One student stands by each number card.
Activity: In this activity there are 12 HAND
WAVERS and 1 – 3 RUNNERS. The hand
wavers take turns waving hands when they are
standing by a number that answers a multi-plication problem. Aided by the hand wavers,
the runners run to the number that answers
each multiplication problem.
Variation: This activity can be done individually
by placing the numbers in a line and having the
student run up and down the line standing by
the answer to each multiplication problem.
Place the numbers in order or mix them up to
make the challenge appropriate.
Best for: All tables
Multiples In Motion
Materials: Number cards with answers to
multiplication problems from a fact family.
Setting: 12 students in a line or circle. Each
student stands behind a number card.
Activity: Students begin moving when the
answer they are standing by is called. Each
student moves the number of body parts that
corresponds to the number being multiplied
(multiplicand).
For example, with the twos, each student
shakes 2 hands.
2 x 1 is 2 – The student standing by the
numeral 2 shakes 2 hands.
2 x 2 is 4 – The student behind the numeral
4 joins in so now 4 hands are moving.
2 x 3 is 6 – The student behind the numeral 3
joins in. Now there are 3 students, each
shaking 2 hands for a total of 6 hands moving.
This continues in order until 2 x 12, where
12 students are each shaking 2 hands
for a total of 24 hands shaking. This creates a
concrete visual of what 2 x 12 looks like.
Best for: Twos: Shake hands. Fours: Run in
place and circle arms to symbolize the 4
wheels of a race car. This activity works well with
the song “Twelve Race Cars”. Fives: Nod head
and shake 2 hands while bouncing or jumping
on 2 feet. Tens: Wiggle
10 fingers.
Picture The Product
Students hold up pictures
of objects that correspond
to the multiplier.
For example, we could use
spiders to illustrate the
eights with the song
“Eights – Shimmy,
Shimmy Shake”.
Materials: • 12 cards, each showing a multiple of 8: 8, 16,
24, 32, 40, 48, 56, 64, 72, 80, 88, and 96.
• 12 cards, each with a picture of a spider.
These pictures can be made from construction
paper and card stock. Children cut out an hour
glass shape for the body and 8 legs, using
black or any other color construction paper,
and paste them onto card stock.
Children can also make spiders using 2
styrofoam balls (a large one for the abdomen
and a smaller one for the head), and pipe
cleaners for the legs.
For ideas for making spiders go to:
www.happalmer.com
Setting: Cards with multiples of 8 are
placed on the floor in order: 8, 16, 24, 32, etc.
Each child stands behind a multiple of 8 and
holds a picture of a spider.
Activity: Students are given the direction: "When the answer you are standing behind is
called, hold up your spider". The observers
see that each spider has 8 legs and view the
number of legs increasing until finally 12
spiders have 96 legs. During the chorus of the
song, the students wiggle their spiders and
make them "shimmy and shake".
Best for: Threes: Tricycle (3 wheels);
Triangle (3 points or sides)
Fours: Horse (4 legs); Car (4 wheels)
Fives: Starfish (5 points)
Sixes: Guitar (6 strings)
Eights: Spider (8 legs);
Octopus (8 arms)
Tens: Set of 10 bowling pins
Twelves: Dozen donuts.
Partners Show The Product
Materials: Two sets of number cards 0 – 9
Setting: Two circles of number cards 0 – 9 are
arranged side by side. One person stands
inside each circle facing the front of the room.
The observers are seated behind also facing
the front of the room.
Activity: The partners work together to display
the answer to each problem. The person on the
left picks up the tens digit and holds it overhead
and between the two circles. The person on the
right picks up the ones digit and holds it over
head and next to the tens digit.
For example, to answer 6 x 7, the person on
the left would hold up the 4 card and the
person on the right would hold up the 2 card.
For one digit answers, the person on the
left holds up the 0 number card. For example,
to answer 3 x 2, the person on the left holds up
the 0 card and the person on the right holds up
the 6 to show the answer 06 like a digital watch.
The fives are a good table to start with
because the pattern is easy to recognize. The
person on the left (tens digit) stands inside a
circle of the numbers 0 – 6. This person will
hold up each card once or twice and then go
in order to the next number. The person on
the right (ones digit) needs only 2 cards 0
and 5. This person will answer every fact by
alternately holding up the 5 and 0 card.
Variation: For the nines table, a
group of 18 students stand in 2
lines of 9 and face each other.
Each person holds a number card
0 – 9. The students come together
in pairs in the center to show the
answers. This is a good activity
for showing the patterns in the
9s table. One line goes up the
numbers in order and the other
goes down the line in order.
Three students need to come
out to make the last answer:
9 x 12 is 108.
Best for: Fours, Fives, Sixes,
Sevens, Eights, and Nines.
Stand By The Digit
Materials: A set of number cards 0 – 9.
Setting: Number cards placed in a circle 3 – 5
feet in diameter.
Activity: The student stands inside the circle
of numerals.
• For a one digit answer, stand by the
answer on one foot.
• For a two digit answer, place one foot by
the ones digit, and the other foot by the
tens digit.
• For a three digit answer, place one foot by
the ones digit, the other foot by the tens
digit and a hand by the hundreds digit.
Variation: One person stands inside the circle
and the other person stands outside the circle.
The person inside the circle stands by the tens
digit and the person outside the circle stands
by the ones digit.*
*Activity suggested by Alan Cononico, former supervisor
of Health and Physical Education, West Virginia.
Create Rhymes
Make up rhymes that students can chant with
multiplication facts. This is especially helpful
with some of the more difficult to memorize
facts. For example:
8 x 9 is 72. Kate and Kline have plenty to do
7 x 8 is 56. Devin made a gate with nifty sticks
6 x 7 is 42. Fix the oven and more tea, too
4 x 8 is 32. Gordy ate his dirty shoe
Best for: Specific facts that students are having
difficulty learning.
Finding Patterns
Zero Rule – Any number times 0 is always 0.
Ones Rule – Any number times 1 is always
itself.
Twos Rule – Any number times 2 is the
number doubled.
Nines Fingers Method – Hold out all 10 fingers
and lower the finger that corresponds to the
multiplier. For example, to answer the problem
9 x 7, hold out all 10 fingers and lower the 7th
finger. There are 6 fingers to the left and 3
fingers on the right. The answer is 63.
Nines One Less Method – To get the answer
to 9 x 6 = ?, subtract 1 from the number you
are multiplying by 9, which in this example is 6.
6 - 1 = 5. This 5 will be the first digit in your
answer. Interestingly, with each nines fact, the two digets that make up the answer always
add up to 9. So, 5 + ? = 9. 5 + 4 = 9!
Therefore, the last number in the answer is 4.
9 x 6 = 54.
Other Helpful Ways To Find The Answer
Break Problems into Smaller Units.
Examples:
7 x 12 = (7 x 10) + (7 x 2) = 70 + 14 = 84
10 x 11 = (10 x 10) + (1 x 10) = 100 + 10 = 110
Move from Known to the Unknown.
Examples:
8 x 9 = (8 x 10) - 8 = 80 - 8 = 72
7 x 8 = (7 x 7) + (7 x 1) = 49 + 7 = 56
Multiplication Terms
Commutative Property – An operation is
commutative if you can change the order of the
numbers involved without changing the result.
Addition and multiplication are both commutative. This simply means it does not matter
which number is first when you write the
problem. The answer is the same.
Example: 2 x 3 = 6, 3 x 2 = 6
Division – The inverse of multiplication.
Factor – Any of the numbers that when multiplied together form a product.
Multiplication – A mathematic operation by
which any number or quantity may be added
to itself any number of times. Multiplication is
repeated addition. 6 x 4 means 6 added
together 4 times or 6 + 6 + 6 + 6.
Multiplication Fact – A multiplication problem
with two factors and its answer. A multiplication
fact contains the multiplicand, multiplier and
product. 2 x 8 = 16.
Multiplicand – A number that is to be multiplied
by another number. In the problem 2 x 8, 2 is
the multiplicand.
Multiplier – The number by which you multiply
another. In the problem 2 x 8, 8 is the multiplier.
Product – The result of multiplying two
numbers or factors
Times Table Family – The same number multiplied by the numbers 1 – 12. For example, the
six times table family would be 6 x 1, 6 x 2,
6 x 3, 6 x 4, 6 x 5, all the way to 6 x 12.
Multiplication Table
Among the 0 through 10 times tables, these are
the multiplication facts that cause most difficulty.
6 x 7 = 42, 6 x 8 = 48, 4 x 12 = 48, 7 x 7 = 49
6 x 9 = 54, 7 x 8 = 56, 7 x 9 = 63, 8 x 8 = 64,
8 x 9 = 72, 6 x 12 = 72, 9 x 9 = 81
Source: www.bbc.co.uk/skillswise
Suggestion: Use the instrumental version
of “Shake Up The Tables” to sing these
challenging facts.
Credits:
Lead and Harmony Vocals: Hap Palmer
Children’s Chorus: Henry Beal,
Briana Brooks, Anne Garafalo,
Michael Hellard, Ivana Orozco, Megan Schulze
Vocals for "The Twos Give You Twice" and "Fives Alive": Megan Schulze,
Hap Palmer
Bass: Jim Garafalo, Hap Palmer
Acoustic Guitars: Hap Palmer,
Larry Giannecchini
Electric Guitar, Mandolin: Larry Giannecchini
Saxophone, Flute: Hap Palmer
Trombone: Claralyse Palmer
Piano: Dean Mora
Horn Section: West Valley Horns
Horns Recorded at Tedesco Studio
Arranged and Produced by Hap Palmer and Miriam Mayer
Engineers: Hap Palmer,
Miriam Mayer
Mix Engineer: Joe Belamy
Educational Consultants: Susan Diblasio, Angelia Leung,
Kevin North, Angela Sandoval, Kelly Schulze
Co-lyricist of "Number Nine Rollin' Down The Line": Daniel Palmer
Guide Book Editors: Paula Benjamin Little, Miriam Mayer,
Betty Williams
Designed and Illustrated by Carole Schumacher Onaitis
Guide Layout: Stan Onaitis
For more information, including a larger print version of this guide.
You can contact Hap at: hap@netwood.net
All songs published by Hap-Pal Music. ©Hap-Pal Music all rights reserved. No part of these lyrics or activities may be reproduced or transmitted in any form or by any means without permission from the publisher.
Back to Top
|