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Module 1 Lesson 1Place Value, Rounding, and Algorithms
for Addition and Subtraction
Topic a: Place value of multi-digit whole numbers4.nbt.1 4 nbt.2 4.oa.1
This PowerPoint was developed by Beth Wagenaar and Katie E. Perkins.The material on which it is based is the intellectual property of Engage NY.
Topic: Place Value of Multi-Digit Whole Numbers
•Objective: Interpret a multiplication equation as a comparison.
Lesson 1
Fluency Practice
– Sprint A
Think!
Take your
mark!
Get set!
Lesson 1
Fluency Practice
– Sprint B
Think!
Take your
mark!
Get set!
Lesson 1
Place Value Fluency3 Minutes
Thousands Hundreds Tens Ones
==== ====
44“_____ tens _____ ones is (standard form)_____________ .”
Lesson 1
Place Value Fluency3 Minutes
Thousands Hundreds Tens Ones
== ===
32“_____ tens _____ ones is (standard form)_____________ .”
Lesson 1
Place Value Fluency3 Minutes
Thousands Hundreds Tens Ones
=== ===
33“_____ hundreds _____ ones is (standard form)_________ .”
Lesson 1
Place Value Fluency3 Minutes
Thousands Hundreds Tens Ones
== ===
2 3“_____ thousands _____ hundreds is (standard form)_____ .”
Lesson 1
Place Value Fluency3 Minutes
Thousands Hundreds Tens Ones
== ===
2 3“_____ thousands _____ tens is (standard form)_____ .”
Lesson 1
Place Value Fluency3 Minutes
Thousands Hundreds Tens Ones
== === ===== ====
2 5“_____ thousands _____ hundreds _____tens ____ ones is (standard form)_____ .”
3 4
Lesson 1
Application Problem5 Minutes
Ben has a rectangular area 9 meters long and 6 meters wide. He wants a fence that will go around it as well as grass sod to cover it. How many meters of fence will he need? How many square meters
of grass sod will he need to cover the entire area?
Lesson 1
Concept Development 35 Minutes
Materials: • Base ten disks: ones, tens, hundreds, and
thousands• Personal white boards
Lesson 1
Problem 1
• I am going to draw one unit into the ones place.
• How many units do I have?• What is the name of this unit?
Thousands Hundreds Tens Ones
=
Lesson 1
1 ten is 10 times as many as 1 one.
Problem 1
Thousands Hundreds Tens Ones
==========
Lesson 1
1 ten is 10 times as many as 1 one.• Count the ones with me. • 1 one• 2 ones• 3 ones• 4 ones• 5 ones• 6 ones• 7 ones• 8 ones • 9 ones• 10 ones
Problem 1Thousands Hundreds Tens Ones
==========
Lesson 1
1 ten is 10 times as many as 1 one.
• What larger unit can I make?• I change 10 ones for 1 ten.• We say, “1 ten is 10 times as
much as 1 one.” Tell your partner what we say and what that means. Use the model to help you.
Problem 2One hundred is 10 times as much as 1 ten.
Lesson 1
• I am going to draw one unit into the tens place.• How many units do I have?• What is the name of this unit?
Thousands Hundreds Tens Ones
=
Problem 2One hundred is 10 times as much as 1 ten.
Lesson 1
Hundreds Tens Ones
==========
• Count the tens with me. • 1 ten• 2 tens• 3 tens• 4 tens• 5 tens• 6 tens• 7 tens• 8 tens • 9 tens• 10 tens
Problem 2One hundred is 10 times as much as 1 ten.
Lesson 1
Hundreds Tens Ones
==========
• What larger unit can I make?
• I change 10 tens for 1 one hundred.
• We say, “1 one hundred is 10 times as much as 1 ten.” Tell your partner what we say and what that means. Use the model to help you.
Problem 3Thousands Hundreds Tens Ones
=
One thousand is 10 times as much as 1 hundred.
Lesson 1
• I am going to draw one unit into the hundreds place.• How many units do I have?• What is the name of this unit?
Problem 3
Thousands Hundreds Tens Ones
==========
One thousand is 10 times as much as 1 hundred.
Lesson 1
• Count the hundreds with me. • 1 hundred• 2 hundreds• 3 hundreds• 4 hundreds• 5 hundreds• 6 hundreds• 7 hundreds• 8 hundreds• 9 hundreds• 10 hundreds
Problem 3Thousands Hundreds Tens Ones
==========
One thousand is 10 times as much as 1 hundred.
Lesson 1
• What larger unit can I make?• I change 10 hundreds for 1 thousand. • We say, “1 thousand is 10 times as much as 1 hundred.”
Problem 3One thousand is 10 times as much as 1 hundred.
Lesson 1
Discuss the patterns you have noticed
with your partner.
Let’s review the multiplication pattern
that matches our models and 10 times
as many words.
Problem 1 ReviewThousands Hundreds Tens Ones
==========
Lesson 1
1 ten is 10 times as many as 1 one.
• 1 ten = 10 x 1 one (1 ten is 10 times as much as 1 one
Problem 2 ReviewOne hundred is 10 times as much as 1 ten.
Lesson 1
Hundreds Tens Ones
==========
1 hundred = 10 x 1 ten
Problem 3 ReviewThousands Hundreds Tens Ones
==========
One thousand is 10 times as much as 1 hundred.
Lesson 1
• 1 thousand = 10 x 1 hundred
Problem 4Model on the place value chart and as equations 10 times as much as 2 ones.• Draw place value disks as dots. Because
you are using dots, label your columns with the unit value.
• Represent 2 ones. Solve to find 10 times as many as 2 ones. Work together.
• 10 times as many as 2 ones is?• Explain this number sentence to your
partner using your model. 10 x 2 ones = 20 ones = 2 tens
• Repeat the process with 10 times as many as 4 tens.
Lesson 1
Problem 5Model as an equation 10 times as many as 7 hundreds.• Write an equation and solve for
10 times as many as 7 hundreds.
• Show me your boards. Read your equation.
• Did you read, “10 times 7 hundreds equals 70 hundreds equals 7 thousands”?
10 x 7 hundreds = 70 hundreds = 7 thousands
Lesson 1
Problem Set
10 minutes
Quick finishers can write your
own 10 times as many statements similar to Problems 2 and 5.
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Lesson 1
Student Debrief
7 minutes• Check your work by comparing answers with a
partner before we go over this as a class.• What relationship do you notice between the
problem of Matthew’s stamps and 1(a) and 1(b)?• How did Problem 1(c) help you to solve Problem 4
about Jane’s savings?• In Problem 5 which solution proved most difficult to
find? Why?• How does the answer about Sarah’s age and her
grandfather’s age relate to our lesson’s objective?• What are some ways you could model 10 times as
many? What are the benefits and drawbacks of each way of modeling?
• Take 2 minutes to explain to your partner what we learned about the value of each unit as we move from right to left.
Lesson 1
Math JournalWrite and complete the following statements In your math journal:
____ten is _____ times as many as _____ one____ hundred is ____ times as many as ____ ten____ thousand is ____ times as many as _____ hundred
Lesson 1
Exit TicketLesson 1
HomeworkLesson 1
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