Transcript How can you use your understanding of base ten (place value)

4 NBT 1
How can you use your
understanding of base ten (place
value) to solve problems and
compare numbers in various forms?
Watch and Learn
Create the place value chart below to help you take notes.
Thousands
Hundreds
Tens
Ones
Guided Practice-I do
226
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?
x 10
Hundreds
Tens
Ones
2
2
6
200
20
Guided Practice-I do
382 and 832
What is the relationship between the three in 382 and the three in 832?
x 10
Hundreds
Tens
Ones
3
8
2
8
3
2
300
30
Guided Practice-We do
1,464
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?
x 10
x 10
Thousands
Hundreds
Tens
Ones
1
4
6
4
400
4
Guided Practice-We do
3,223
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?
Thousands
Hundreds
Tens
Ones
3
2
2
3
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
7
Tens
5
Ones
2
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.
Task 3-Task 4
• What is the relationship
between the numbers
represented by the 4 in the
number 24,436?
• What is the relationship
between the numbers
represented by the 8 in the
number 81,832?
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.
4 NBT 1
How can you use your
understanding of base ten (place
value) to solve problems and
compare numbers in various forms?
Quick write
Write everything you know about the number below
1,589,362
Share 2 ideas with
your group.
Share 1 idea
aloud.
How many ways…(I do)
How many ways can you represent the number 538?
Addition/ expanded
form
Words
Multiplication / Base 10 numerals
Concretely / Hundreds blocks
How many ways…(we do)
How may ways can we represent the number 867,102?
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.
May 9, 2013
4 NBT 2
How can you use your
understanding of base ten (place
value) to solve problems and
compare numbers in various forms?
Write down everything you know
about the statement below
642, 187 > 642,178
Raise your hand if you’d like to share 1
thought from your group.
Brain Drain
Share 3 thoughts with your table group.
Comparing Numbers
>
Hundred
Thousands
Ten
Thousands
<
Thousands
=
,
Hundreds
Tens
Ones
1
7
8
1
6
4
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?
$178
> $164
Wait a minute!!!
$178
expanded form
$164
Base 10 numerals
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?
Thousands
,
Hundreds
Tens
Ones
Challenge
Write the numbers in expanded form, base ten numerals, and word form.
Few Do Comparing Numbers
1. Find a partner and sit together
2. One person from each team collect your supplies
EXAMPLE
MS.WILLIAMS
MS. GARREN
a. 10 sided dice
Hundred Thousands
Ten Thousands
Thousands
,
Hundreds
Tens
Ones
8
0
4
,
5
2
1
6
1
9
,
1
1
1
ROUND 1
ROUND 2
ROUND 3
b. Activity sheet (1 per person)
ROUND 4
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.
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: $12,874 > $11,629
Base ten numerals: ($10,000 x 1) + ($1,000 x 2) + ($100 x 8) + ($10 x 7) + ($1 x 4)
Expanded: 10,000 + 2,000 + 800 + 70 + 4
4 NF 2
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?
1 Whole
Tinkerbell
TJ
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.