Module 1 Lesson 1 Place Value Rounding and

Module 1 Lesson 1 Place Value, Rounding, and Algorithms for Addition and Subtraction Topic a: Place value of multi-digit whole numbers 4. nbt. 1 4 nbt. 2 4. oa. 1 This Power. Point was developed by Beth Wagenaar and Katie E. Perkins. The material on which it is based is the intellectual property of Engage NY.

Lesson 1 Topic: Place Value of Multi-Digit Whole Numbers • Objective: Interpret a multiplication equation as a comparison.

Fluency Practice – Sprint A Take your mark! Lesson 1 Get set! Think!

Fluency Practice – Sprint B Take your mark! Lesson 1 Get set! Think!

Place Value Fluency Lesson 1 3 Minutes Thousands Hundreds Tens Ones ==== 4 4 “_____ tens _____ ones is (standard form)_______. ”

Place Value Fluency Lesson 1 3 Minutes Thousands Hundreds Tens Ones == === 2 3 “_____ tens _____ ones is (standard form)_______. ”

Place Value Fluency Lesson 1 3 Minutes Thousands Hundreds Tens Ones === 3 3 “_____ hundreds _____ ones is (standard form)_____. ”

Place Value Fluency Lesson 1 3 Minutes Thousands Hundreds == === 2 3 Tens Ones “_____ thousands _____ hundreds is (standard form)_____. ”

Place Value Fluency 3 Minutes Thousands Hundreds Tens Ones == === 2 3 “_____ thousands _____ tens is (standard form)_____. ” Lesson 1

Place Value Fluency 3 Minutes Thousands Hundreds Tens Ones == ===== 2 3 5 “_____ thousands _____ hundreds _____tens ones is (standard form)_____. ” 4 ____ Lesson 1

Application Problem 5 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 1 ten is 10 times as many as 1 one. • 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 Lesson 1 Tens Ones =

Problem 1 1 ten is 10 times as many as 1 one. • • • Count the ones with me. 1 one Thousands 2 ones 3 ones 4 ones 5 ones 6 ones 7 ones 8 ones 9 ones 10 ones Hundreds Tens Lesson 1 Ones =====

Problem 1 1 ten is 10 times as many as 1 one. Thousands • • • Hundreds 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. Tens Ones ===== Lesson 1

Problem 2 One hundred is 10 times as much as 1 ten. Thousands Hundreds Tens Ones = • • • I am going to draw one unit into the tens place. How many units do I have? What is the name of this unit? Lesson 1

Problem 2 • • • One hundred is 10 times as much as 1 ten. Count the tens with me. 1 ten 2 tens Hundreds Tens 3 tens ===== 4 tens ===== 5 tens 6 tens 7 tens 8 tens 9 tens 10 tens Lesson 1 Ones

Problem 2 Lesson 1 One hundred is 10 times as much as 1 ten. • • • 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. Hundreds Tens ===== Ones

Problem 3 Lesson 1 One thousand is 10 times as much as 1 hundred. Thousands Hundreds Tens Ones = • 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 Lesson 1 One thousand is 10 times as much as 1 hundred. • • • Count the hundreds with me. 1 hundred Hundreds 2 hundreds Thousands 3 hundreds ===== 4 hundreds ===== 5 hundreds 6 hundreds 7 hundreds 8 hundreds 9 hundreds 10 hundreds Tens Ones

Problem 3 Lesson 1 One thousand is 10 times as much as 1 hundred. Thousands Hundreds Tens Ones ===== • 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 3 One thousand is 10 times as much as 1 hundred. Discuss the patterns you have noticed Let’s review the with your multiplication pattern that matches our partner. models and 10 times as many words. Lesson 1

Problem 1 Review 1 ten is 10 times as many as 1 one. Thousands Hundreds Tens Lesson 1 Ones ===== • 1 ten = 10 x 1 one (1 ten is 10 times as much as 1 one

Problem 2 Review One hundred is 10 times as much as 1 ten. Hundreds Tens Ones ===== 1 hundred = 10 x 1 ten Lesson 1

Problem 3 Review One thousand is 10 times as much as 1 hundred. Thousands Hundreds Tens ===== • 1 thousand = 10 x 1 hundred Ones Lesson 1

Problem 4 Lesson 1 Model 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.

Problem 5 Model 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”? 7 10 x 7 hundreds = 70 hundreds = thousands Lesson 1

Problem Set 10 minutes Quic k can finisher w own rite yo s u man 10 time r s as y sta simi tements la Prob lems r to 2 an d 5. Lesson 1

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Student Debrief 7 minutes Lesson 1 • 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.

Math Journal Write 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

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