math module 3 multi-digit multiplication and division topic c: multiplication of up to four digits...

Math Module 3 Multi-Digit Multiplication and Division

Topic C: Multiplication of up to Four Digits by Single-Digit NumbersLesson 10: Multiply three- and four-digit numbers by one-digit numbers applying the standard

algorithm

4.OA.2 4.NBT.5 4.NBT.1

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Lesson 10 Target

You will multiply three- and four-digit numbers by

one-digit numbers applying the standard

algorithm

We can do this!

Lesson 10

FluencyExpanded Form

532• Say the number.

500 + 30 + 2

• Write the number in expanded form.

Lesson 10



400 + 10 + 5


Lesson 10



200 + 4


Lesson 10


3,241• Say the number.

3,000 +200 + 40 + 1


Lesson 10


2,053• Say the number.

2,000 + 50 + 3


(Write 3 × 2 = .) Say the multiplication sentence in unit form. S: 3 ones × 2 = 6 ones. T: Write the answer in standard form. S: (Write 6.) T: (Write 30 × 2 = .) Say the multiplication sentence in unit form. S: 3 tens × 2 = 6 tens. T: Write the answer in standard form. S: (Write 60.)

Lesson 10FluencyMultiply Mentally

• Say the multiplication sentence.

• 342 x 2 = 684.

342 x 2 = ____ 124 x 3 = ____

132 x 3 = ____• Say the multiplication

sentence. • 132 x 3 = 396.


sentence. • 221 x 4 = 884

• Say the multiplication sentence.

• 124 x 3 = 372.


sentence. • 201 x 4 = 804.


sentence. • 213 x 4 = 852 .

322 x 7 = _____

Say the sentence.

Say it as a three-product

addition sentence in unit form.

3 hundreds x 7+

2 tens x 7 +

2 ones x 7

Solve using the partial

product strategy.

322 x 714

1402,1002,254

Multiply using Partial ProductsLesson 10

7 thousands, 1 hundred, 3 tens, 5 ones x 5 = _____

Say the sentence.

Say it as a four-product


7 thousands x 5+

1 hundred x 5+

3 tens x 5 +

5 ones x 5


product strategy.

7,135 x 525

150500

35,00035,675


3 x 7,413= _____

Say the sentence.

Say it as a four-product


7 thousands x 3+

4 hundreds x 3+

1 ten x 3 +

3 ones x 3


product strategy.

7,413 x 3

930

1,20021,00022,239


Lesson 10Application Problem5 minutes

The principal wants to buy 8 pencils for every student at her school. If there are 859 students, how many pencils does the principal need to buy?

Lesson 10Concept DevelopmentProblem 1: Solve 5 × 2,374 using partial products, then connect to the algorithm.

5 × 2,374

With your partner, solve for 5 × 2,374 using the partial products method. You will have two minutes.


• Now let’s solve using the algorithm. Say a multiplication sentence for the ones column.

2,374x 5• 4 ones times 5 is 20 ones or 2 tens.

• Tell your partner how to record 20 ones or 2 tens.

• I am going to record 2 tens on the line in the tens column and the 0 in the ones column.

• Do you have 20 ones recorded in your answer from the partial products?

20


• What is multiplied in the tens column? • 7 tens times 5 is 35 tens.

2,374x 52

0• I noticed when I look back at the partial

products, I also have 35 tens or 3 hundreds 5 tens.

• Tell your partner what to do with 3 hundreds 5 tens and the 2 tens we recorded on the line.

• We have to add the 2 tens to get 37 tens or 3 hundreds 7 tens.

• Why do the partial products only show 350 though?


2,374x 52

73 /

0

• In the partial products method, we add the 2 tens to 35 tens later after multiplying each place value separately. In the algorithm, you add as you go.

• Let’s record 3 hundreds 7 tens or 37 tens. Cross off the 2 tens on the line because they’ve been added in.

• What is our multiplication sentence for the hundreds column?

• 3 hundreds times 5 is 15 hundreds or 1 thousand 5 hundreds.


2,374x 52

71 3 ///

0811,

• I noticed the 1,500 in the partial products strategy came next. The algorithm is multiplying in the same order starting with the ones column and moving left.

• We add the 3 hundreds that were changed from tens. Now we have 18 hundreds. I cross out the 3 on the line because I’ve added it.

• Last, we have the thousands column. • 2 thousands times 5 plus 1 thousand is 11 thousands. • Notice that our answer is the same when we used the algorithm

and the partial products strategy.

Lesson 10Concept DevelopmentProblem 1b: Solve 9 x 3,082 using partial products, then connect to the algorithm.

3,082x 9

• Now let’s try another problem! Solve using partial products then the standard algorithm.

3,082x 9

Lesson 10Concept DevelopmentProblem 2: Solve 6 x 3,817 using the algorithm.

• With your partner, solve for 6 × 3,817 using the algorithm. You have two minutes.

6 x 3,817

Lesson 10Concept DevelopmentProblem 2b: Solve 3 x 7,109 using the algorithm.

• With your partner, solve for 3 × 7,109 using the algorithm. You have two minutes.

3 x 7,109

7,109x 3

Lesson 10Concept DevelopmentProblem 3: Solve a word problem that requires four-digit by one-digit multiplication using the

algorithm.

There are 5,280 feet in a mile. If Bryan ran 4 miles, how many feet did he run?

• Discuss with your partner how you would solve this problem

• On your own, use the algorithm to solve for how many feet Bryan ran. You have 2 minutes.

• 5,280 x 4 is 21,120. Bryan ran 21,120 feet.

Problem Set10 Minutes

What pattern did you notice while solving Problems 1(a)

and 1(b)?

What happens to the product if one factor is

doubled? Halved?

What other patterns did you notice

while working on Problem 1?

Problem 3 only gave one factor. How did you

find the other factor?

If one of your classmates was absent for the past week, how would you explain how you solved

Problem 4? Describe any visuals you could use to help you with your explanation.

How did Lesson 9 help you to understand today’s lesson?

DebriefLesson Objective:Multiply three- and

four-digit numbers by one-digit numbers

applying the standard algorithm.

Exit Ticket Lesson 1

math module 3 multi-digit multiplication and division topic c: multiplication of up to four digits...

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