1. Representing Numbers Lesson 3-1 CCSS 4.NBT.1, 4.NBT.2
Literature Link: Sir Cumference and All the King’s Tens by Cindy Neuschwander
Lesson CCSS 4.NBT.1, 4.NBT.2

2. MATH Essential Questions
What kind of experiences help develop number sense?
MATH
Essential
Questions

3. MATH Essential Questions
How do digit values change as they are moved around in large numbers?
MATH
Essential
Questions

4. MATH Essential Questions
What determines the value of a digit?
MATH
Essential
Questions

5. Think and Write in your Interactive Math Notebook
Where do you see numbers in the thousands, ten thousands, hundred thousands, and millions in your everyday life?
Think and Write in your Interactive Math Notebook

6. Task: Building 1,000 Task Directions
 Students will work in partners or individually for this task.
The following questions need to be answered on the student recording form:
What does 100 look like? How long is it? How tall is it? How big is it? How much space will it take up?
To answer these questions, decide what type of material you would like to use to show 100. Next, make a prediction about the size you think your will be.
Next, using words and pictures, explain what you did to make your prediction.
Task: Building 1,000

7. Suggested Building Materials for Your Model of 100:
Straws
Toothpicks
Noodles
Paper Clips
Rulers and Yardsticks
Poster Paper, Markers
Present your model to the class
MATERIALS:

8. Student Recording Sheet
Answer the questions on the Student Recording Sheet
Student Recording Sheet

9. Warm Up Can you say these numbers aloud? 3,942 42,055 734,092
5,768,032
Warm Up

10. What do each of these blocks represent?
Place Value Blocks

11. Make a model to show these numbers:
452
128
349
Practice!

12. Write this in your Interactive Notebook – Right Side
817,924
Number 4 is in the ONES place.
Number 2 is in the TENS place.
Number 9 is in the HUNDREDS place.
Number 7 is in the THOUSANDS place.
Number 1 is in the TEN THOUSANDS place.
Number 8 is in the HUNDRED THOUSANDS place.
Place Value
Write this in your Interactive Notebook – Right Side

13. When a number is written in a way that shows only its digits, it is in standard form.
Listen as I say these numbers aloud. Write each number as I say it on your white board.
Standard Form
Write the definition for standard form in your interactive math notebook.

14. A number written using words is in word form
A number written using words is in word form. For example, the number 15,723 is written as “Fifteen thousand seven hundred twenty three.
Write these numbers in word form:
35,946
147,021
503,289
Word Form

15. When you write a number in expanded form, you write it as the sum of the values of its digits.
Example: 567,934 is
500, , ,000 +
Write these numbers in expanded form:
369,024
149,367
Expanded Form

16. Expanded Form Explanation
Example: 5,734
The trick is to start with the largest digit, in this case, 5. Write that number, then count how many digits are after it. In this example, it is 3. Write 3 zeros. Then write a plus sign. Find the next digit, and write it. For this, it would be 7. Write the 7 and then count the digits to the right. Since there are 2, you write two zeros. Continue this strategy until you get to the ones place, where you will not write any zeros after the digit.
Expanded Form Explanation

17. Practice! Write these numbers in expanded form. 46,894 109,376
3,578,001
Practice!

18. Write these numbers in word form.
28,792
940,835
301,573
Practice!

19. Write these numbers in standard form.
Thirty-two thousand nine hundred forty three.
700, ,
300, , ,
500, , ,
Practice!

20. 3-1 Practice
Homework

21. http://www.abcya.com/place_ value_hockey.htm
Website for Practice