Place Value Through Millions EnVision Math Topic 1: Lesson 1-2, Day 1 Place Value Through Millions 2011-12 *This lesson is meant to fill two class periods. You will probably only finish up to about slide 25. Materials needed: -crayons or colored pencils for each student -foldable from Lesson 1-1 for each student -dry erase board, marker, and eraser for each student

Rocket Math Today is Fact Friday, which means we will do our first set of two minute timings to see how well you know your addition and subtraction facts. (do both 2-minute timings)

How do I use place value to read and write large numbers? Today, we’ll continue investigating how to use place value to read and write large numbers.

7 9 3 5 1 2 4 8 6 , Using Place Value Thousands Period Ones Period We used our foldable to learn about the first six places in a number. Today we will add on three more places. Find your foldable and your crayons. Take out a green crayon. So far, we have the ones, tens, and hundreds place, they make up the ones period. Then we have the thousands, ten thousands, and hundred thousands place. They make up the thousands period. Now let’s add three more digits. In this next place, we’ll write *. Then *. Then *. Before we open our flaps, I would like you to make a light line with your pencil at the bottom of each flap. * Open that first flap, where we wrote a 4. 7 9 3 5 1 2 4 8 6 , Thousands Period Ones Period Using Place Value

7 9 3 5 1 2 4 8 6 , millions 4,000,000 Using Place Value On the top, we’ll write the name of the place. Does anyone know the name of this place? * On the bottom, we’ll write the value of the digit in this place. We wrote an 4. What would be the value of a 4 in this place? * Remember a millions piece is equal to ten hundred thousands. It would be a giant cube. Close that flap and open up the next flap, where we wrote a 9. 4 8 6 , 4,000,000 Thousands Period Ones Period Using Place Value

7 9 3 5 1 2 4 8 6 , 90,000,000 ten millions Using Place Value On the top, we’ll write the name of the place. Does anyone know the name of this place? * On the bottom, we’ll write the value of the digit in this place. We wrote a 9. What would be the value of a 9 in this place? * Remember a ten millions piece is equal to ten millions. It would be a giant rod. Close that flap and open up the last flap, where we wrote a 7. 3 5 1 2 4 8 6 , 90,000,000 Thousands Period Ones Period Using Place Value

7 9 3 5 1 2 4 8 6 , hundred millions 700,000,000 Using Place Value On the top, we’ll write the name of the place. Does anyone know the name of this place? * On the bottom, we’ll write the value of the digit in this place. We wrote a 7. What would be the value of a 7in this place? * Remember a hundred millions piece is equal to ten ten millions. It would be a giant flat. Close that flap. 3 5 1 2 4 8 6 , 700,000,000 Thousands Period Ones Period Using Place Value

7 9 4 3 5 1 2 , 8 6 , Using Place Value Millions Period Now our number has 9 digits, which means we have a third period. What is the name of this period? Let’s label this period on our foldable. * What do we need to do to separate the millions period from the thousands period? (add a comma) Add a comma * behind your 4 to separate your thousands period from your ones period. 7 9 4 3 5 1 2 , 8 6 , Millions Period Thousands Period Ones Period Using Place Value

392,461,805 standard form Take a look at this number. What digit is in the ten millions place? What place is the 4 in? What is the value of the 2? What digit is in the ten thousands place? What is the value of the 9? What place is the 3 in? What is the value of the 8? What do you call this form of a number? *

word form three hundred ninety-two million, four hundred sixty-one thousand, eight hundred five I can also write this number like this. What do you call this form of a number? * Remember that the word form is how you would say the number. Let’s do some practice saying numbers in the millions.

765,124,983 95,316,040 102,007,904 To read a number like this, first you read the number in the * millions period. What do you say at * the comma? Then you read the number in the * thousands period. Then you read the number in the * ones period. * Can someone read that whole number? We’ll whip around the room so everyone can say a number. **** 760,009,022 114,080,307

943,571,002 206,080,601 341,981,394 **** 806,200,017 600,005,827

460,173,600 14,001,482 230,067,804 **** 915,320,090 502,017,103

94,008,900 201,592,060 522,104,812 **** 870,416,720 84,100,400

624,098,710 42,030,105 461,983,000 ** Look at this number *. How would you say this one? This one’s a little tricky. * Can you say this one? Here’s another one like that. * How would you say this one? There’s one more form of a number besides word form and standard form. What are we missing? 35,000,410 212,000,008

expanded form 392,461,805 300,000,000 + 90,000,000 + 2,000,000 + 400,000 + Remember that the expanded form of a number shows the value of each digit with a plus sign in between. Let’s write the expanded form of this number. What would I write first? * * * * * * * * * * * * * * * Let’s use our white boards to do some practice with everything we’ve learned. (pass out supplies) + 1,000 60,000 + 800 + 5

183,267,843 80,000,000 Write the value. First let’s practice value. Write the value of the underlined digit. The correct answer is…*

Write the value. 864,931,276 900,000 Write the value of the underlined digit. The correct answer is…*

Write the value. 261,794,365 200,000,000 Write the value of the underlined digit. The correct answer is…*

Write the value. 745,932,148 2,000 Write the value of the underlined digit. The correct answer is…*

Write the value. 531,984,762 1,000,000 Write the value of the underlined digit. The correct answer is…*

Write the value. 594,736,128 30,000 Write the value of the underlined digit. The correct answer is…*

Write the expanded form. 16,107,320 10,000,000 + 6,000,000 + 100,000 7,000 + + Now I’ll give you the standard form. You write the expanded form. What did you write first? * Next? * * * * * * * * * * 300 + 20

Write the expanded form. 75,001,432 70,000,000 + 5,000,000 + 1,000 400 + + Write the expanded form. What did you write first? * Next? * * * * * * * * * * 30 + 2

Write the expanded form. 430,290,100 400,000,000 + 30,000,000 + 200,000 90,000 + + Write the expanded form. What did you write first? * Next? * * * * * * * * 100

Write the standard form. 300,000,000 + 40,000,000 + 7,000,000 + 300,000 + 10,000 + 6,000 + 20 + 9 Now, let’s go the opposite way. I’ll give you the expanded form. You write the standard form. Remember this first number will tell you how many digits you need in your answer. How many digits will we need? You should make that many lines * to help you. Read me what you wrote, digit by digit, in the millions period. * How about the thousands period? * How about the ones period? * 347 , 316 , 029

Write the standard form. 900,000,000 + 20,000,000 + 6,000,000 + 20,000 + 4,000 + 10 How many places will we need for this one? Draw your lines * to help you. Read me what you wrote, digit by digit, in the millions period. * How about the thousands period? * How about the ones period? * , 926 024 , 010

Write the standard form. 80,000,000 + 1,000,000 + 600,000 + 40,000 + 900 + 30 + 8 How many places will we need for this one? Draw your lines * to help you. Read me what you wrote, digit by digit, in the millions period. * How about the thousands period? * How about the ones period? * 81 , 640 , 938

Write the standard form. six million, three hundred eighty-four thousand, nine hundred fourteen Now I’ll give you the word form. You write the standard form. Let’s do this one together. There are two words that stand for commas. What’s the first one? * second one? * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 6, 384 , 914

Write the standard form. thirty-two million, eight hundred sixteen thousand, two hundred sixty-seven You try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 32, 816, , 267

Write the standard form. four hundred ten million, seven hundred five thousand, nine hundred four Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 410, 705, , 904

Write the standard form. twenty-two million, six hundred thousand, three hundred sixty Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 22, 600, , 360

17, 042, 095 , seventeen million, forty-two thousand, ninety-five Write the standard form. seventeen million, forty-two thousand, ninety-five Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 17, 042, 095 ,

401, 750, , 000 four hundred one million, seven hundred fifty thousand Write the standard form. four hundred one million, seven hundred fifty thousand Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 401, 750, , 000

Write the standard form. eight hundred twelve million, two thousand, sixty-seven Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 812, 002, , 067

29, 013, , 006 twenty-nine million, thirteen thousand, six Write the standard form. twenty-nine million, thirteen thousand, six Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 29, 013, , 006

903, 016, , 000 nine hundred three million, sixteen thousand Write the standard form. nine hundred three million, sixteen thousand Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 903, 016, , 000

39, 000, , 257 thirty-nine million, two hundred fifty-seven Write the standard form. thirty-nine million, two hundred fifty-seven Try this one. Here are my commas. * * What will I write in the millions period? * I know I will need 6 places behind this, so I am going to make lines * to help me. What will I write in the thousands period? * What will I write in the ones period? * 39, 000, , 257

fourteen million, nine thousand, two hundred Write the word form. 14,009,200 fourteen million, nine thousand, two hundred Now I’ll give you the standard form. You write the word form. Be careful to use correct spelling. You can use the sheet in the front of your binder to help you. Write the word form. What did you write? *

seven hundred million, thirty thousand, two Write the word form. 700,030,002 seven hundred million, thirty thousand, two Write the word form. What did you write? *

three million, four hundred thousand, eighty Write the word form. 3,400,080 three million, four hundred thousand, eighty Write the word form. What did you write?

thirty-four million, sixty-one thousand Write the word form. 34,061,000 thirty-four million, sixty-one thousand Write the word form. What did you write?

nine million, four hundred twenty Write the word form. 9,000,420 nine million, four hundred twenty Write the word form. What did you write?

sixty million, two thousand, eight Write the word form. 60,002,008 sixty million, two thousand, eight Write the word form. What did you write?