math module 3 multi-digit multiplication and division topic c: multiplication of up to four digits...
TRANSCRIPT
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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
PowerPoint designed by Beth WagenaarMaterial on which this PowerPoint is based is the Intellectual Property of Engage NY and can
be found free of charge at www.engageny.org
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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!
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Lesson 10
FluencyExpanded Form
532• Say the number.
500 + 30 + 2
• Write the number in expanded form.
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Lesson 10
FluencyExpanded Form
415• Say the number.
400 + 10 + 5
• Write the number in expanded form.
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Lesson 10
FluencyExpanded Form
204• Say the number.
200 + 4
• Write the number in expanded form.
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Lesson 10
FluencyExpanded Form
3,241• Say the number.
3,000 +200 + 40 + 1
• Write the number in expanded form.
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Lesson 10
FluencyExpanded Form
2,053• Say the number.
2,000 + 50 + 3
• Write the number in expanded form.
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(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.
221 x 4 = ____• Say the multiplication
sentence. • 221 x 4 = 884
• Say the multiplication sentence.
• 124 x 3 = 372.
201 x 4 = ____• Say the multiplication
sentence. • 201 x 4 = 804.
213 x 4 = ____• Say the multiplication
sentence. • 213 x 4 = 852 .
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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
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7 thousands, 1 hundred, 3 tens, 5 ones x 5 = _____
Say the sentence.
Say it as a four-product
addition sentence in unit form.
7 thousands x 5+
1 hundred x 5+
3 tens x 5 +
5 ones x 5
Solve using the partial
product strategy.
7,135 x 525
150500
35,00035,675
Multiply using Partial ProductsLesson 10
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3 x 7,413= _____
Say the sentence.
Say it as a four-product
addition sentence in unit form.
7 thousands x 3+
4 hundreds x 3+
1 ten x 3 +
3 ones x 3
Solve using the partial
product strategy.
7,413 x 3
930
1,20021,00022,239
Multiply using Partial ProductsLesson 10
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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?
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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.
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Lesson 10Concept DevelopmentProblem 1: Solve 5 × 2,374 using partial products, then connect to the algorithm.
• 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
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Lesson 10Concept DevelopmentProblem 1: Solve 5 × 2,374 using partial products, then connect to the algorithm.
• 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?
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Lesson 10Concept DevelopmentProblem 1: Solve 5 × 2,374 using partial products, then connect to the algorithm.
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.
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Lesson 10Concept DevelopmentProblem 1: Solve 5 × 2,374 using partial products, then connect to the algorithm.
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.
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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
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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
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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
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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.
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Problem Set10 Minutes
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What pattern did you notice while solving Problems 1(a)
and 1(b)?
What happens to the product if one factor is
doubled? Halved?
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What other patterns did you notice
while working on Problem 1?
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Problem 3 only gave one factor. How did you
find the other factor?
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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.
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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.
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Exit Ticket Lesson 1
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