# State Your Name (Place Value to Millions)

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## Objective

Students will be able to represent numbers in the millions using a place value chart. They will write numbers in expanded form, using periods to help write numbers in word form.

#### Big Idea

A place value chart can help you write numbers to the millions.

## Opener

5 minutes

In this Introductory Video - Place Value to Millions, I explain our goal for this lesson.

In this lesson the students will understand how to use a place value chart (MP5) to help write numbers in word form and expanded form (4.NBT.A2).  They should know that each place can hold a 1-digit number.  The highest number that each place can hold is a 9.  Students should also know that each place has a value.  For example, if it is a 7 digit number, then it goes to the millions place (MP7).

I say, "You have learned place value to the hundred thousands place.  Today, we will learn place value to the hundred million's place.  What do you think a million looks like?"  Allow the students a moment to think about this question.  I let 2 or 3 students share their answers. Some student responses:  1) A football field full of people and 2) a room filled to the top with pennies. Let's find out.

## Direct Instruction

10 minutes

I call the students to the carpet for direct instruction.  The Place Value to the Millions power point is displayed on the Smart board.  I use the power point to teach the skill of place value to the millions.  This is not the first lesson on place value, so this is somewhat of a review.

I tell the students that we are going to review what we previously learned about place value.


* Each place holds 1 digit from 0 – 9

* Each digit has a value

* You must start in the greatest place when writing the expanded form

* Every word that you say when you read a number, must be written for the word form
You can use a place value chart to help write numbers in expanded form.
Let’s Practice.  Write 153,278,921 in expanded and word form.

 Hundred Millions Ten Millions Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones 1 5 3 2 7 8 9 2 1 1 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 3 0 0 0 0 0 0 2 0 0 0 0 0 7 0 0 0 0 8 0 0 0 9 0 0 2 0 1


The expanded form of this number is 100,000,000 + 50,000,000 + 3,000,000 + 200,000 + 70,000 + 8,000 + 900 + 20 + 1

Use the periods to help you say the number.  The numbers 153 are in the millions period, so you say one hundred fifty-three million.  The 278 is in the thousands period, so you say two-hundred seventy-eight thousand.  The 921 is in the ones period, so you say nine hundred twenty-one.

For the word form, you write every word that you say.

The word form for this number is one hundred fifty-three million, two-hundred seventy-eight thousand, nine hundred twenty-one.

Now you will practice using a place value chart to write the expanded and word forms of numbers.

## Group Activity

20 minutes

I put the students into groups of 3.  I give each group a Place Value to Millions Activity Sheet, four (4) Place Value Chart to Millions charts, and 1 number cube (MP5).  This allows the students to do the activity several times during the designated period.  The students each take turns rolling the number cube.  For each roll of the cube, the students should write the number in the place value chart starting with the ones place.  The students should roll the number cube a total of 9 times to get a number to the hundred millions place.  Once the students have their first number, they should work together to correctly write the expanded form of the number (MP6) (MP1).  After they have written the expanded form, then the students should use the periods to help them write the word form of the number.  Repeat the process with the second 9-digit number.

As the students participate in this activity, I walk around to check their understanding of the skill.  If a group is having a difficult time with the activity, I interject by asking questions to help lead the students to the objective outlined.

Possible Questions that the teacher can ask:

1.  For the expanded form, what sign must be included?

2.  Did you count to see how many digits make up the number?

3.  What place should you start in when writing the expanded form? Will it change for different numbers?

4.  How can the commas in the number help you with the word name?

Materials:  place value chart and number cube

Early finishers can practice place value at the following site:   http://www.math-play.com/Place-Value-Millionaire/place-value-millionaire.html

## Independent Activity/Exit Ticket

10 minutes

I give the students the Place Value to Millions Independent Activity sheet.  The students must write the word form and expanded form of a number.  I collect the sheets when the students exit the classroom.  This provides me data to know which students mastered the skill and which students need remediation.

From the sample of student work  (Student Work - Place Value to Millions), you can see that this student understands place value to millions place.  The student still needs to work on putting the commas in the correct place.