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 3-1 CCSS 4.NBT.1, 4.NBT.2

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

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

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

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

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 100 will be. Next, using words and pictures, explain what you did to make your prediction. Task: Building 1,000

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:

Student Recording Sheet Answer the questions on the Student Recording Sheet Student Recording Sheet

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

What do each of these blocks represent? Place Value Blocks

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

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

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.

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

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+ 60,000 + 7,000 + 900 + 30 + 4 Write these numbers in expanded form: 369,024 149,367 Expanded Form

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

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

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

Write these numbers in standard form. Thirty-two thousand nine hundred forty three. 700,000 + 6,000 + 300 + 40+ 1 300,000 + 20,000 + 9,000 + 2 500,000 + 70,000 + 1,000 + 500+ 90 Practice!

3-1 Practice Homework

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