100 solve 3 x 7 = ? using base 10 blocks build a 3 x 7 array! x

Partial Products Algorithm for MultiplicationUsing Base 10 Blocks

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Get ready, mathematicians!!

Does your group have some Base 10 Blocks to share?

Solve 3 X 7 = ?using base 10 blocks

Build a 3 X 7 array!

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Solve 3 X 7 = using base 10 blocks


How many blocks are in your array?

So 3 x 7 = 21 .

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Good work, mathematicians!!

You’re ready for double digits!

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Try to use as FEW blocks as possible.

(Trade sets of 10 longs for 1 flat.)

How many blocks are in your array? So 60 x 50 = 3,000 .

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100 100 100 100 100 100

100 100 100 100 100 100

100 100 100 100 100 100

100 100 100 100 100100

100 100 100100100100


You’re ready for a hard one!

Make sure to work as a team.

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Try to use as FEW blocks as possible.

(Trade sets of 10 longs for 1 flat.

Trade sets of 10 cubes for 1 long.)

X

100

100

100 100 100 100 100

100100 100 100100

100 100 100 100 100 100

100 100 100 100 100 100

100 100 100 100 100 100

How many blocks are in your array?

So 67 X 53 = 3,551 .

30 = 3,000

35 = 35018 = 180

21 = 213,551

How can we write this using only

numbers?

We call this method the Partial Products Algorithm.

It looks like this…

Calculate 50 X 60

67X 53

Calculate 50 X 7

3,000 350 180 21

Calculate 3 X 60

Calculate 3 X 7 +Add the results 3,551

To find 67 x 53,

think of 67 as 60 + 7 and 53 as 50 + 3.

Then, multiply each part of one sum by each part of the other.

Now, add the results


Let’s try two more problems using the Partial Products

algorithm!

Calculate 10 X 20

14X 23

Calculate 20 X 4

200 80 30 12

Calculate 3 X 10

Calculate 3 X 4 +Add the results 322

#1

Build this with your blocks.

Calculate 30 X 70

38X 79

Calculate 70 X 8

2, 100 560 270 72

Calculate 9 X 30

Calculate 9 X 8 +Add the results

#2

Build this with your blocks.

3002

Any questions?

Now, try some in your Math Journal.

You may still use the blocks or drawings of blocks.

100 solve 3 x 7 = ? using base 10 blocks build a 3 x 7 array! x

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