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Multiplication Scripts Using the Language of Units
#1
Script of 24 x 3
Modeled with Number Disks
Page 85 Cal. Edition 3A
Page 51 US Edition 3A
t. How many times am I adding 24 in this equation?
s. 3
t. What place values are there in the number 24 in order from smallest to greatest?
s. Ones and tens.
t. We start multiplying in the smallest place value. What is 4 ones x 3?
s. 12 ones.
t. Can we bundle ten ones to make a ten?
s. Yes.
t. Let’s show that. How many ones are not included in that bundle?
s. 2
t. Let’s record those 2 ones in the ones place below the line. What is 2 tens x 3?
s. 6 tens
t. Add in the ten we made. How many tens do we have in all?
s. 7 tens.
t. Excellent. What is 3 times 24?
s. 72
t. Say that the Chinese way.
s. 7 ten 2
#2
Script of 342 x 3
Modeled with Number Disks
Page 87 Cal. Edition 3A
Page 53 US Edition 3A
t. How many times am I adding 342 in this equation?
s. 3
t. What place values are there in the number 342 in order from smallest to greatest?
s. Ones, tens, and hundreds
t. We start multiplying in the smallest place value. What is 2 ones x 3?
s. 6 ones.
t. Can we bundle ten ones to make a ten?
s. No.
t. Let’s record the 6 ones in the ones place and proceed to the next place value. What is 4 tens x
3?
s. 12 tens
t. Can we bundle 10 tens to make a hundred?
s. Yes.
t. How many extra tens are there?
s. 2 tens.
t. Let’s record the extras in the tens place, record our bundle of 1 hundred in the hundreds place
and proceed to multiply the next place value. What is 3 hundreds x 3?
s. 9 hundreds.
t. Add in the hundred you bundled previously. How many hundreds in all?
s. 10 hundreds.
t. Can you make a thousand out of 10 hundreds?
s. Yes.
t. Are there extra hundreds?
s. No
t. We record the zero in the hundreds place to show there are no extra hundreds.
t. Where should I record the thousand?
s. In the thousands place.
t. Excellent. What is 342 times 3?
s. 1026.
t. Excellent.
#3
Script of 1612 x 3
With number disks
Page 61 Cal. Edition 3A
Not included in the US Edition
t. How many times am I
adding 1612 in this
equation?
s. 3
t. What place values are
there in the number 1612
in order from smallest to
greatest?
s. Ones, tens, hundreds
and thousands.
t. We start multiplying in
the smallest place value.
What is 2 ones x 3?
s. 6 ones.
t. Can we bundle ten ones
to make tens?
s. No
t. Let’s record the 6 ones
below the line in the ones
place. Now we proceed to the next largest unit.
t. What is 1 ten x 3 ?
s. 3 tens
t. Can we bundle 3 tens to make a hundred?
s. No
t. Let’s record the 3 tens below the line in the tens place and proceed to multiply the next
largest unit. What is 6 hundreds x 3?
s. 18 hundreds.
t. Can you bundle a thousand out of 18 hundreds?
s. Yes.
t. How many thousands can you bundle?
s. 1
t. After making a thousand, are there extra hundreds?
s. Yes.
t. How many?
s. 8.
t. We record the 8 hundreds in the hundreds place below the line while recording the 1
thousand above the thousands place.
t. What is 1 thousand x 3?
s. 3 thousands.
t. Plus the 1 thousand we bundled?
s. 4 thousands.
t. What is 1612 x 3
s. 4836
#4
Script of 4.53 x 2
With number disks
Page 53 Cal. Edition 4B
Page 48 US Edition 4B
t. How many times am I adding 4.53
in this equation?
s. 2
t. What place values are there in the
number 4.53 in order from smallest
to greatest?
s. Hundredths, tenths, and ones
t. We start multiplying in the
smallest place value. What is 3
hundredths x 2?
s. 6 hundredths.
t. Let’s record that 6 in the hundredths place and proceed to the next place value. What is 5
tenths x 2?
s. 10 tenths
t. Can we bundle 10 tenths to make a one?
s. Yes.
t. How many extra tenths are there?
s. 0 tenths.
t. Let’s record the zero in the tenths place and record our 1 in the ones place and proceed to
multiply the next place value. What is the next largest place value?
s. The ones.
t. What is 4 ones x 2 plus the 1 one we bundles previously?
s. 9 ones.
t. We record the 9 in the ones place following the decimal point separating the fractional parts
from the whole numbers.
t. What is 4.53 x 2?
s. 9 and 6 hundredths.
t. Excellent