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How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

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Page 1: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

How can you use your understanding of base ten (place

value) to solve problems and compare numbers in various forms?

4 NBT 1

Page 2: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Watch and Learn

Create the place value chart below to help you take notes.

Thousands Hundreds Tens Ones

Page 3: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Guided Practice-I do

How many times greater is the value of the digit in the hundreds place greater than the value of the digit in the tens place?

226

Hundreds Tens Ones

2 2 6

x 10

200 20

Page 4: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Guided Practice-I do

What is the relationship between the three in 382 and the three in 832?

382 and 832

Hundreds Tens Ones

3 8 2

8 3 2

x 10

300 30

Page 5: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Guided Practice-We do

How many times greater is the value of the digit in the hundreds place greater than the value of the digit in the ones place?

1,464

Thousands Hundreds Tens Ones

1 4 6 4

400 4

x 10x 10

Page 6: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Guided Practice-We do

How many times greater is the value of the digit in the thousands place greater than the value of the digit in the ones place?

3,223

Thousands Hundreds Tens Ones

3 2 2 3

Page 7: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Help!

I’m in a bit of a conundrum. I gave my students the assignment to write an expression for the number 752 using what they know about base ten and place value. They understand that each place is ten times the next but can’t seem to figure this one out. Hundreds Tens Ones

7 5 2

Page 8: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Few Do Task 1-Task 2

• How many times greater is the digit in the thousands place greater than the number in the tens place? Use the number 2,428.

• What is the relationship between the numbers represented by the 8 in the number 81,832?

Task 3-Task 4• What is the relationship

between the numbers represented by the 4 in the number 24,436?

Challenge:• Marco guessed that there were

17,568 pieces of gum in the gumball machine. Write an expression that represents seventeen thousand, five hundred, sixty eight.

Page 9: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

How can you use your understanding of base ten (place

value) to solve problems and compare numbers in various forms?

4 NBT 1

Page 10: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Quick writeWrite everything you know about the number below

1,589,362

Share 2 ideas with your group.

Share 1 idea aloud.

Page 11: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

How many ways can you represent the number 538?

Addition/ expanded form

Multiplication / Base 10 numerals

Words Concretely /

Hundreds blocks

How many ways…(I do)

Page 12: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

How many ways…(we do)

How may ways can we represent the number 867,102?

Page 13: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

In teams of two

Complete the following tasks

Represent the following numbers in as many ways as you can:

6,430,008 789,114 643 9,909

4,689,201 788,958 463 9,900

Challenge Compare the numbers found in the same column.

Page 14: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

How can you use your understanding of base ten (place

value) to solve problems and compare numbers in various forms?

4 NBT 2May 9, 2013

Page 15: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Brain Drain

Write down everything you know about the statement below

642, 187 > 642,178

Hint: Use what you know about place

value

Share 3 thoughts with your table group.

Raise your hand if you’d like to share 1 thought from your group.

Page 16: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Comparing Numbers

> < =Hundred

ThousandsTen

ThousandsThousands , Hundreds Tens Ones

Ms. Williams was comparing her two most recent Duke Energy bills to see if her CFL bulbs really worked. In March her bill was approximately $178 and in April her bill was about $164. Which month did she pay the most?

1 7 8

1 6 4

$178 $164>

Page 17: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Wait a minute!!!

expanded form

$178 $164

Base 10 numerals

Words

Page 18: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

We do Comparing Numbers Winston Salem schools has been surveying elementary school

students and staff to see how they should spend the extra money in their budget next year. At Easton, Mineral Springs and Forest Park a total of 6,792 responses were in favor of better school lunch. At Haw-Woodward, Cash and Brunson 6,972 said they would like better playground equipment. If the school system

follows a majority rules scenario, how will the budget be spent?

ChallengeWrite the numbers in expanded form, base ten numerals, and word form.

Thousands , Hundreds Tens Ones

Page 19: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Few Do Comparing Numbers

1. Find a partner and sit together

2. One person from each team collect your supplies

a. 10 sided dice

b. Activity sheet (1 per person)

c. Monkey tickets ( 4 per person/teams of 2 or 3 per person/teams of 3)

3. Listen carefully as Evelin and I explain what you are going to do.

Hundred Thousands Ten Thousands Thousands , Hundreds Tens Ones

EXAMPLE 8 0 4 , 5 2 1 MS.WILLIAMS MS. GARREN 6 1 9 , 1 1 1 ROUND 1

ROUND 2

ROUND 3

ROUND 4

Page 20: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

You do

Mrs. Noyola Guzman writes a check for her son’s college tuition in the amount of twelve thousand eight hundred seventy four dollars. She also writes a check for her daughter’s tuition in the amount of eleven thousand six hundred twenty nine dollars. Who’s tuition was the most expensive? Write the greatest amount in base ten numerals and expanded form? Comparison:

Base ten numerals:

Expanded:

($10,000 x 1) + ($1,000 x 2) + ($100 x 8) + ($10 x 7) + ($1 x 4)

10,000 + 2,000 + 800 + 70 + 4

$12,874 > $11,629

Page 21: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

Brisa fed each of her dogs the same amount of food. Tinkerbell ate 2/4 of her food and TJ ate 2/8 of his food. Which dog ate more food?

4 NF 2

What can we do to figure this out?

1 Whole

Tinkerbell

TJ

What are ways we can represent these Fractions to compare?

Page 22: How can you use your understanding of base ten (place value) to solve problems and compare numbers in various forms? 4 NBT 1

We do

Zy’Reayanna and Deshawn each have 24 bottles of water. Deshawn gives 1/3 of his bottles to his sister. Zy’Reayanna gives 1/4 of her bottles to her little brother. Write an expression that compares the fraction of bottles each person has left.