Place Value In Whole Numbers and Decimals

1
Place Value In Whole Numbers and Decimals

• Everyday Mathematics Unit 5
• Mr. Brumfield
• Lawnton Elementary

2
What do you already know about place value?

• What is place value?
• What does it tell us?
• What place values do you already know?

3
How well do you understand place value?
1,732,476

• How do we read this number?
• What is the largest place value?
• What is the value of the 6?
• What is the value of the 4?
• Wat is the value of the 3?
• What is the value of the 1?

4
Place Value through the Ten-Thousands
5.1
Our Objective To review place value through
ten-thousands.
Can you identify the place values in order, from
the ones place to the ten-thousands place?
5
Place Value News

• Online Informational Video
• http//www.linkslearning.org/Kids/1_Math/2_Illustr
  ated_Lessons/3_Place_Value/index.html

6
Game Time!

• We are going to explore place value using a fun
  and interactive website
• http//www.wmnet.org.uk/wmnet/custom/files_upload
  ed/uploaded_resources/853/PlaceValueChartv4.swf

7
Mental Math

• Count by 10s from 730 to 800
• Count by 10s from 364 to 464
• Count by 100s from 900 t0 2,000
• Count by 100s from 240 to 1,240
• Count by 1000s from 16,720 to 23,720
• Count by 1000s from 2,342 to 7,342

8
Math Message

• Write the following numbers using digits
• Two hundred fifty-six
• Three thousand four hundred eleven
• Twenty-seven thousand eight hundred fifty-three
• Nine thousand seventy
• Thirty-five thousand eight

9
Place Value Chart
Ten- Thousands
Thousands
Tens
Ones
Hundreds
Can you match and name the place values in the
correct columns?
10
Lets Practice Place Value
27,342

• Which number is in the tens?
• Which number is in the ones?
• Which number is in the hundreds?
• Which number is in the thousands?
• Which number is in the ten-thousands?
• What is the value of the number3

11
Lets Practice Place Value
40,567

• Which number is in the tens?
• Which number is in the ones?
• Which number is in the hundreds?
• Which number is in the thousands?
• Which number is in the ten-thousands?
• What is the value of the number6

12
Lets Practice Place Value
32,806

• What is the value of the ones?
• What is the value of the tens?
• What is the value of the hundreds?
• What is the value of the thousands?
• What is the value of the ten-thousands?

13
Lets Practice Place Value
67,681

• What is the value of the ones?
• What is the value of the tens?
• What is the value of the hundreds?
• What is the value of the thousands?
• What is the value of the ten-thousands?

14
Independent Practice
I know this stuff! Place value is easy!

• Complete math journal page 102
• When you finish, work on math boxes page 103

15
Base Ten Place Value Practice

• Understanding base ten blocks is a great way to
  remember place values. Lets use a super-cool
  website to review base ten values
• http//www.harcourtschool.com/activity/numbers_to_
  1000_b/

16
Reading, Writing, and Ordering Numbers
5.2
Our Objective To practice reading, writing,
comparing, and ordering numbers
What are the signs for greater than and less than?
17
Multiplication Mental Math

• 4 x 1
• 4 x 2
• 4 x 3
• 4 x 4
• 4 x 5
• 4 x 6
• 4 x 7
• 4 x 8
• 4 x 9
• 4 x 10

• 6 x 1
• 6 x 2
• 6 x 3
• 6 x 4
• 6x 5
• 6 x 6
• 6 x 7
• 6 x 8
• 6 x 9
• 6 x 10

• 3 x 1
• 3 x 2
• 3 x 3
• 3 x 4
• 3 x 5
• 3 x 6
• 3 x 7
• 3 x 8
• 3 x 9
• 3 x 10

• 5 x 1
• 5 x 2
• 5 x 3
• 5 x 4
• 5 x 5
• 5 x 6
• 5 x 7
• 5 x 8
• 5 x 9
• 5 x 10

18
Mental Math

• Listen as I read you a number.
• Record the number on math masters page 422.
• Follow directions to identify various place
  values.

19
Mental Math Place Value Practice
five thousand six hundred seventy-four

• Which digit is in the thousands?
• What is the value of 7?
• How many ten thousands?

20
Mental Math Place Value Practice
forty-two thousand eight hundred seventy-seven

• Which digit is in the thousands?
• What is the value of 8?
• How many ten thousands?

21
Mental Math Place Value Practice
eight thousand six

• Which digit is in the thousands?
• What place values have zeroes?
• How many ten thousands?

22
Mental Math Place Value Practice
thirty-five thousand ninety-one

• Which digit is in the thousands?
• What is the value of 5?
• How many ten thousands?

23
Mental Math Place Value Practice
one million two hundred forty-seven thousand four
hundred ninety-eight

• Which digit is in the thousands?
• What is the value of 2?
• How many ten thousands?

24
Math Message

• Animal Clutches
• Turn to pages 218 and 219 of your SRB
• List the names of the animals in the order of
  the most eggs they can have in a clutch to the
  least.

25
Math Message Follow Up

• Write the types of animals in order from greatest
  to least clutch size
• 1 ________________
• 2 ________________
• 3 ________________
• 4 ________________
• 5 ________________
• 6 ________________
• 7 ________________

26
Vocabulary Review
Lets review the meaning of these two vocabulary
words before applying them to our data.

• Maximum
• Median

The greatest number in a group
The middle number in a group, after the numbers
have been arranged in order from least to
greatest.
27
Example

• 1 12 7 4 3

The maximum is 12 because it is the greatest or
largest number
Finding the median is a two step process 1
Rewrite the numbers in order 2 Find the number
in the middle
1 3 4 7 12
28
Math Message Follow Up

• How would we find the median of this date?
• What is the median of a set of numbers?

29
Math Message Follow Up

• How would we find the range of this date?
• What is the range of a set of numbers?

30
Look back at your list of numbers from math
masters page 422. We are going to be comparing
the numbers we wrote.Lets quickly review the
symbols for comparing numbers.
Comparing Numbers
Comparison Symbols

• Greater Than
• Less Than
• Equal To

31
Practice Comparing Numbers

• 5,674 ___ 8,006
• 42,877 ___ 35,091
• 4,361 ___ 6,034
• 1,247,498 ___ 9,999,999

Which of these numbers are the maximum and the
minimum?
32
Practice Comparing Numbers

• 5,674
• 8,006
• 42,877
• 35,091
• 4,361
• 6,034
• 1,247,498
• 9,999,999

What is the range of this set of numbers?
33
Practice Comparing Numbers

• 5,674
• 8,006
• 42,877
• 35,091
• 4,361
• 6,034
• 1,247,498
• 9,999,999

What is the median of this set of numbers?
34
Lets Play a Game!

• Number Top-It
• Directions can be found on page 302 of your SRB.
  There is also a demonstration available online
• http//media.emgames.com/emgames/demosite/playdem
  o.html?activityM2A050activitytypedcr
• Basically
• You and your partner each have a place value
  chart, with boxes labeled from the ones through
  the millions.
• You and your partner take turns drawing number
  cards from a deck.
• You place your number card on one of the place
  values. Once you have placed a card, you cannot
  move it.
• The goal is to create the larger number once you
  and your partner have filled in all of your place
  values.

35
Math Boxes 5.2

• Complete the review math boxes on page 104 of
  your math journal.
• If you finish early, practice multiplication or
  division flashcards.

36
Place Value to Millions
5.3
Our Objectives To extend our place value
knowledge to the millions To read and
write numbers through the millions
What are the names of the place values from the
ones to the millions?
37
Mental Math
Identify the larger numbers from the given Sets

• 2,468 ___ 6,824
• 9,043 ___ 9,403
• 12,746 ___15,422
• 43,066 ___ 43,606
• 12.42 ___ 12.24
• 152,324 ___ 153,324

Greater Gator
38
Math Message

• What is the smallest one-digit number greater
  than zero?
• What is the smallest two-digit whole number
  greater than zero?

39
Use your place value chart (math masters page
126) to make the smallest number possible, using
the information that I give you.Keep in mind,
you cannot use a number more than once. You also
cannot begin the number with the digit zero.
What is the pattern?
The smallest 3 digit number The smallest 4 digit
number The smallest 5 digit number
40
Practice with Place Value
Record the number on math masters page
127. Follow my directions to identify place value
through the millions
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Five hundred thousand three hundred forty-two
41
Practice with Place Value
Record the number on math masters page
127. Follow my directions to identify place value
through the millions
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Three hundred thousand six hundred eleven
42
Practice with Place Value
Record the number on math masters page
127. Follow my directions to identify place value
through the millions
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Two million eighty-one thousand two hundred
43
Practice with Place Value
Record the number on math masters page
127. Follow my directions to identify place value
through the millions
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
One million three hundred forty-five thousand
four hundred two
44
Practice with Place Value
Record the number on math masters page
127. Follow my directions to identify place value
through the millions
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
7 in the ten thousands 4 in the millions 3 in the
tens 1 in the hundred-thousands Zeroes in the
remaining values
45
Practice with Place Value
Record the number on math masters page
127. Follow my directions to identify place value
through the millions
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Two million eight thousand seventy-five
46
Math Boxes 5.3

• Complete the review math boxes on page 105 of
  your math journal.
• If you finish early, find a partner and play
  Number Top-It.

47
The U.S. Census
5.4
Our Objectives To read, write, and compare
large numbers To express relationships as
differences and rations.
How could you calculate the population of a place?
Social Studies Link The count of a population is
called the census.
48
Multiplication Mental Math

• 4 x 1
• 4 x 2
• 4 x 3
• 4 x 4
• 4 x 5
• 4 x 6
• 4 x 7
• 4 x 8
• 4 x 9
• 4 x 10

• 6 x 1
• 6 x 2
• 6 x 3
• 6 x 4
• 6x 5
• 6 x 6
• 6 x 7
• 6 x 8
• 6 x 9
• 6 x 10

• 3 x 1
• 3 x 2
• 3 x 3
• 3 x 4
• 3 x 5
• 3 x 6
• 3 x 7
• 3 x 8
• 3 x 9
• 3 x 10

• 5 x 1
• 5 x 2
• 5 x 3
• 5 x 4
• 5 x 5
• 5 x 6
• 5 x 7
• 5 x 8
• 5 x 9
• 5 x 10

49
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Forty-two thousand eight hundred seventy-seven
50
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Fifty-six thousand eight hundred eleven
51
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
One hundred forty-five thousand three hundred
twelve
52
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Two hundred eighty-nine thousand five hundred
fourteen
53
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Six hundred seventy-eight thousand twenty-three
54
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
One million four hundred thousand
55
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Four million seven hundred sixty-four thousand
56
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Two million four hundred fifty-seven thousand
eight hundred ninety-seven
57
Mental Math
Follow my directions to identify place value
through the millions. Record the numbers on your
slates.
Ones
Tens
Hundreds
Thousands
Ten Thousands
Hundred Thousands
Millions
,
,
Six million twenty
58
Math Message

• Look over SRB pages 226 and 227.
• Make observations about the data with a partner.
• Find the population of New York City.

Population of New York City
59
Facts about the U.S. Census

• The official census is taken every 10 years
• The purpose of the census was to determine the
  number of Representatives each state would
  receive in congress.

60
Comparing Populations of Cities
Student Reference Book pages 226 and 227.

• Which city has a population that is about
  100,000 more than that of Minneapolis?
• How did you determine your answer?
• Is the population closer to 300,000 or 400,000?
• What is the number that is 100,000 more than
  300,000?
• Find a city in the map that has a population of
  about 400,000

61
Comparing Populations of Cities
Student Reference Book pages 226 and 227.

• Which city has a population that is about
  1,000,000 more than that of Portland?
• How did you determine your answer?
• Is the population closer to 500,000 or 600,000?
• What is the number that is 1,000,000 more than
  500,000?
• Find a city in the map that has a population of
  about 1,500,000

62
Comparing Populations of Cities
Student Reference Book pages 226 and 227.

• Which city has a population that is about
  1,000,000 less than that of Phoenix?
• How did you determine your answer?
• What is the number that is 1,000,000 more than
  1,321,045?
• Find a city in the map that has a population of
  about 321,045

63
Ratio Comparisons

• Which two cities have populations about double
  that of New Orleans?
• What is the population of New Orleans?
• Is the population closer to 400,000 or 500,000?
• What is the number that is double 500,000?
• Find two cities on the map that have a population
  of about 1 million.

64
Ratio Comparisons

• Which city has a population of about ten times
  that of Miami?
• What is the population of Miami?
• What could we round the number to?
• What is the number that is double that?
• Find a city on the map with near that population.

65
Partner Practice

• Complete math journal page 106 with your partner.
  You will be comparing the populations of U.S.
  cities using the chart on the top of the page.
• When you have finished, return to your seat and
  complete the math boxes on page 107 by yourself.

66
Very Large Numbers
5.5
Our Objectives To develop a sense of very large
numbers To add or subtract using large
numbers
What is the largest place value you can name?
67
Multiplication Mental Math

• 4 x 1
• 4 x 2
• 4 x 3
• 4 x 4
• 4 x 5
• 4 x 6
• 4 x 7
• 4 x 8
• 4 x 9
• 4 x 10

• 6 x 1
• 6 x 2
• 6 x 3
• 6 x 4
• 6x 5
• 6 x 6
• 6 x 7
• 6 x 8
• 6 x 9
• 6 x 10

• 3 x 1
• 3 x 2
• 3 x 3
• 3 x 4
• 3 x 5
• 3 x 6
• 3 x 7
• 3 x 8
• 3 x 9
• 3 x 10

• 5 x 1
• 5 x 2
• 5 x 3
• 5 x 4
• 5 x 5
• 5 x 6
• 5 x 7
• 5 x 8
• 5 x 9
• 5 x 10

68
Mental Math

• 39,999
• or
• 16,110?

Which number is a little less than 40 thousand?
69
Mental Math

• 544,000
• or
• 399,875

Which number is a little less than 400 thousand?
70
Mental Math

• 3,999,674
• or
• 6,104,000

Which number is about half as much as 12 million?
71
Math MessageTime Equivalents

1 year ______ weeks or ______ days 1 day
_______ hours 1 hour ________ minutes 1 minute
_______ seconds
72
Math Message Follow Up
1 year 52 weeks or 365 days 1 day 24 hours 1
hour 60 minutes 1 minute 60 seconds

• If there are 365 days in a year, how many days
  are there in two years?

73
Math Message Follow Up
1 year 52 weeks or 365 days 1 day 24 hours 1
hour 60 minutes 1 minute 60 seconds

• If there are 52 weeks in a year, how many weeks
  are there in five years?

74
Math Message Follow Up
1 year 52 weeks or 365 days 1 day 24 hours 1
hour 60 minutes 1 minute 60 seconds

• If there are 24 hours in one day, how many hours
  are there in three days?

75
Math Message Follow Up
1 year 52 weeks or 365 days 1 day 24 hours 1
hour 60 minutes 1 minute 60 seconds

• If there are 60 minutes in one hour, how many
  minutes are there in four hours?

76
Math Message Follow Up
1 year 52 weeks or 365 days 1 day 24 hours 1
hour 60 minutes 1 minute 60 seconds

• If there are 24 hours in one day, how many hours
  are there in three days?

77
How Old Are We?

• Turn to math journal page 108. We are going to
  use our time equivalents to find out how old we
  are in minutes and hours.
• 1. On what date were you born?
• 2. How old were you on your last birthday?
• 3. About how many minutes do you think you were
  on your last birthday?

How Many Minutes Estimates ______________ between
10,000 and 100,000 ____________ between 100,000
and 1,000,000 ___________ between 1,000,000 and
10,000,000
78
How Old Are We?

• We will now use our calculators to find out how
  old we are in days, minutes, and hours.
• 4. To find out how many days old you are,
  multiply 365 times the number of years you were
  on your last birthday (8 or 9).
• To find the hours, multiply the number of days
  times 24 hours.
• To find the minutes, multiply the number of hours
  by 60 minutes.

79
How Old Are We?
Leap Years Change Things A leap year is a year in
which we actually have 1 extra day. We had leap
years in 2000 and 2004. How many days does that
add to your last birthday? How many extra minutes
does that add?
80
Math Boxes 5.5

• Complete the review math boxes on page 109 of
  your math journal.
• If you finish early, work on multiplication or
  division flashcards.

81
Exploring Base 10 blocks, Polygons, Perimeter,
and Area
5.6
Our Objectives To count base ten blocks
identify polygons To compare
perimeters and areas
What values do the cube, long, flat, and big cube
show?
82
Mental Math

• Complete the Fact Families

1. _______________________ 2. ____________________
___ 3. _______________________ 4.
_______________________
4
6
83
Mental Math

• Complete the Fact Families

1. _______________________ 2. ____________________
___ 3. _______________________ 4.
_______________________
4
6
84
Mental Math

• Complete the Fact Families

1. _______________________ 2. ____________________
___ 3. _______________________ 4.
_______________________
56
7
85
Mental MathNumbers in Expanded Notation

• How would we normally write this number?
• 4,000 300 50 2

86
Mental MathNumbers in Expanded Notation

• How would we normally write this number?
• 4,000 300 50 2

87
Mental MathNumbers in Expanded Notation

• How would we normally write this number?
• 30,000 4,000 700 20 9

88
Mental MathNumbers in Expanded Notation

• How would we normally write this number?
• 20,000 500 3

89
Mental MathNumbers in Expanded Notation

• How would we normally write this number?
• 5,000,000 400,000 20,000 7,000 100 90
  2

90
Multiplication Fact Power

• You will have one minute to complete the
  multiplication facts handout.
• Complete as many facts as you can.

91
Math Message

• How would you show the number below, using base
  ten blocks?
• 1,324

92
Base Ten Block Review

• Cube equals 1
• Long equals 10
• Flat equals 100
• Big Cube equals 1,000

Online Base Ten Practice
http//www.harcourtschool.com/activity/numbers_to_
1000_b/
93
Group Explorations

• Exploration A
• Value of Base Ten Blocks
• MJ 110
• Exploration B
• Squares, Rectangles, and Triangles
• MJ 111
• Exploration C
• Pattern Block Perimeters
• MJ 112

94
Math Boxes 5.6

• Complete the review math boxes on page 113 of
  your math journal.
• If you finish early, work on multiplication or
  division flashcards.

95
Decimals with Base 10 Blocks
5.7
Our Objectives To model decimals with base-10
blocks To review decimals with money
What does each base ten block represent? Why do
we use decimals in numbers?
96
Multiplication Mental Math

• 4 x 1
• 4 x 2
• 4 x 3
• 4 x 4
• 4 x 5
• 4 x 6
• 4 x 7
• 4 x 8
• 4 x 9
• 4 x 10

• 6 x 1
• 6 x 2
• 6 x 3
• 6 x 4
• 6x 5
• 6 x 6
• 6 x 7
• 6 x 8
• 6 x 9
• 6 x 10

• 3 x 1
• 3 x 2
• 3 x 3
• 3 x 4
• 3 x 5
• 3 x 6
• 3 x 7
• 3 x 8
• 3 x 9
• 3 x 10

• 5 x 1
• 5 x 2
• 5 x 3
• 5 x 4
• 5 x 5
• 5 x 6
• 5 x 7
• 5 x 8
• 5 x 9
• 5 x 10

97
Mental Math Place Value Practice
two hundred thirteen thousand seven hundred
eighty-nine

• Which digit is in the thousands?
• What is the value of 3?
• How many ten thousands?

98
Mental Math Place Value Practice
five hundred six thousand three hundred eleven

• Which digit is in the thousands?
• What is the value of 3?
• How many ten thousands?

99
Mental Math Place Value Practice
seven hundred thousand two

• Which digit is in the thousands?
• What is the value of 2?
• How many ten thousands?

100
Mental Math Place Value Practice
nine million seventy-eight thousand fifteen

• Which digit is in the thousands?
• What is the value of 2?
• How many ten thousands?

101
Math Message

• Complete the math message slip to identify
  different decimal values.

3 dollar bills, 5 dimes, and 1 penny 3 dimes and
six pennies 2 dollar bills and 7 dimes 9 pennies
102
Decimals

• Why do we use decimals in numbers?
• What does a decimal tell us?

103
Base Ten Decimals

• We are going to use base ten blocks to represent
  decimal amounts.
• The flat will represent the whole number 1 (just
  like a 1 bill).
• The long will represent tenths (like dimes).
• The cube will represent hundredths (like a
  penny).

104
Base Ten Decimals

• Write the values shown by the given base 10
  blocks.

Five Cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
105
Base Ten Decimals

• Write the values shown by the given base 10
  blocks.

2 longs 4 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
106
Base Ten Decimals

• Write the values shown by the given base 10
  blocks.

5 longs 2 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
107
Base Ten Decimals

• Write the values shown by the given base 10
  blocks.

7 longs 1 cube
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
108
Base Ten Decimals

• Write the values shown by the given base 10
  blocks.

2 flats 6 longs 9 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
109
Lets Practice

• Complete problems 1-3 on math journal 114.
• 1. Fraction shaded _______ decimal ________
• 2. Fraction shaded _______ decimal ________
• 3. Fraction shaded _______ decimal ________

110
Independent Practice

• Complete practice book page 115.
• Then work on the math boxes on page 116.
• If you finish early, find a partner and play
  Number Top It.

111
Tenths and Hundredths
5.8
Our Objectives To use practice writing and
comparing decimals values To exchange between
tenths and hundredths (like trading dimes and
pennies)
How are base ten blocks related to tenths and
hundredths?
112
Multiplication Mental Math

• 4 x 1
• 4 x 2
• 4 x 3
• 4 x 4
• 4 x 5
• 4 x 6
• 4 x 7
• 4 x 8
• 4 x 9
• 4 x 10

• 6 x 1
• 6 x 2
• 6 x 3
• 6 x 4
• 6x 5
• 6 x 6
• 6 x 7
• 6 x 8
• 6 x 9
• 6 x 10

• 3 x 1
• 3 x 2
• 3 x 3
• 3 x 4
• 3 x 5
• 3 x 6
• 3 x 7
• 3 x 8
• 3 x 9
• 3 x 10

• 5 x 1
• 5 x 2
• 5 x 3
• 5 x 4
• 5 x 5
• 5 x 6
• 5 x 7
• 5 x 8
• 5 x 9
• 5 x 10

113
Math Message

• Write the values shown by the given base 10
  blocks.

12 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
114
Math Message

• Write the values shown by the given base 10
  blocks.

3 longs 1 cube
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
115
Math Message

• Write the values shown by the given base 10
  blocks.

5 longs 6 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
116
Math Message

• Write the values shown by the given base 10
  blocks.

1 flat 3 longs 2 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
117
Math Message

• Write the values shown by the given base 10
  blocks.

5 flats 6 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
118
Which Decimal is Greater?

• Write the value that is greater.

.23 or .70
119
Which Decimal is Greater?

• Write the value that is greater.

.66 or .56
120
Which Decimal is Greater?

• Write the value that is greater.

3.30 or 30.03
121
Which Decimal is Greater?

• Write the value that is greater.

.12 or .21
122
Math Message

• Complete the math message slip to identify
  different monetary amounts
• Fourteen-hundredths _________
• Four-hundredths _________
• Four-tenths _________
• Four hundred _________

123
Exchanging Tenths Hundredths

• How many hundredths are covered on the grid?
• How many cubes would be used?
• Is there a way to cover the same amount of cubes
  with fewer base-10 blocks?
• How many tenths hundredths do we have?
• Write the decimal _____
• Write the fraction _____

Work along on math journal page 117.
124
Exchanging Tenths Hundredths

• How many hundredths are covered on the grid?
• How many cubes would be used?
• Is there a way to cover the same amount of cubes
  with fewer base-10 blocks?
• How many tenths hundredths do we have?
• Write the decimal _____
• Write the fraction _____

Work along on math journal page 117.
125
Exchanging Tenths Hundredths

• How many hundredths are covered on the grid?
• How many cubes would be used?
• Is there a way to cover the same amount of cubes
  with fewer base-10 blocks?
• How many tenths hundredths do we have?
• Write the decimal _____
• Write the fraction _____

Work along on math journal page 117.
126
Exchanging Tenths Hundredths

• How many hundredths are covered on the grid?
• How many cubes would be used?
• Is there a way to cover the same amount of cubes
  with fewer base-10 blocks?
• How many tenths hundredths do we have?
• Write the decimal _____
• Write the fraction _____

Work along on math journal page 117.
127
Exchanging Tenths Hundredths

• How many hundredths are covered on the grid?
• How many cubes would be used?
• Is there a way to cover the same amount of cubes
  with fewer base-10 blocks?
• How many tenths hundredths do we have?
• Write the decimal _____
• Write the fraction _____

Work along on math journal page 117.
128
Exchanging Tenths Hundredths

• How many hundredths are covered on the grid?
• How many cubes would be used?
• Is there a way to cover the same amount of cubes
  with fewer base-10 blocks?
• How many tenths hundredths do we have?
• Write the decimal _____
• Write the fraction _____

Work along on math journal page 117.
129
Exchanging Tenths Hundredths

• How many hundredths are covered on the grid?
• How many cubes would be used?
• Is there a way to cover the same amount of cubes
  with fewer base-10 blocks?
• How many tenths hundredths do we have?
• Write the decimal _____
• Write the fraction _____

Work along on math journal page 117.
130
Independent Practice

• Complete the math boxes on page 118.
• If you finish early, find a partner and practice
  multiplication or division flashcards.

131
Tenths and Hundredths of a Meter
5.9
Our Objectives To understand tenths and
hundredths To exchange between tenths and
hundredths
One
Tenths
Hundredths
What number is represented by this picture? How
would you write the number in decimal form?
132
Multiplication Mental Math

• 4 x 1
• 4 x 2
• 4 x 3
• 4 x 4
• 4 x 5
• 4 x 6
• 4 x 7
• 4 x 8
• 4 x 9
• 4 x 10

• 6 x 1
• 6 x 2
• 6 x 3
• 6 x 4
• 6x 5
• 6 x 6
• 6 x 7
• 6 x 8
• 6 x 9
• 6 x 10

• 3 x 1
• 3 x 2
• 3 x 3
• 3 x 4
• 3 x 5
• 3 x 6
• 3 x 7
• 3 x 8
• 3 x 9
• 3 x 10

• 5 x 1
• 5 x 2
• 5 x 3
• 5 x 4
• 5 x 5
• 5 x 6
• 5 x 7
• 5 x 8
• 5 x 9
• 5 x 10

133
Math Message

• Write the values shown by the given base 10
  blocks.

7 longs
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
134
Math Message

• Write the values shown by the given base 10
  blocks.

1 long 8 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
135
Math Message

• Write the values shown by the given base 10
  blocks.

9 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
136
Math Message

• Write the values shown by the given base 10
  blocks.

1 flat 3 longs 4 cubes
Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
137
Math Message

• Turn to page 218 and 219 in your SRB
• What is the maximum length for a python?

138
Math Message Follow Up

• What are the maximum lengths for each animal?
• How would we find the median of this data?
• How would we find the range of our data?

139
Math Message Rations

• About how many times longer is the green turtle
  than the giant toad?
• About how many times longer is the python than
  the Mississippi alligator?

140
Meter Stick Decimals

• How can a meter stick show tenths and decimals?

141

• We are going to use a meter stick to represent
  the whole number one.
• Anything less than one whole meter will
  represent fractions and decimals.

How many longs are in 1 meter?
How would you write one long as a fraction?
How would you write one long as a decimal?
How many cubes would be needed to reach the 1
meter mark?
142

• We are going to use a meter stick to represent
  the whole number one.
• Anything less than one whole meter will
  represent fractions and decimals.

• How many centimeters are in a meter?
• How would you write 1 cm as a fraction?
• How would you write 1 cm as a decimal?

143
Meter Stick Decimals

• How many centimeters are in a meter?
• How would you write 1 cm as a fraction?
• How would you write 1 cm as a decimal?
• If you wanted 24 cm, how many longs and cubes
  would you need to use?
• How would you write 24 cm as a fraction?
• How would you write 24 cm as a decimal?

144
Decimals for Metric Measurement

• Turn to page 119 of your math journal. We will
  complete the chart in problem one together.

145
Independent Practice

• Complete the rest of the problems on 119 by
  yourself.
• Then complete the boxes on page 120.
• Remember to work carefully, double checking your
  work!

146
Application Rainfall
5.10
Our Objectives To introduce the thousandths
place value To use millimeters
and interpret data from a map
What is the thousandths place value?
147
Multiplication Mental Math

• 4 x 1
• 4 x 2
• 4 x 3
• 4 x 4
• 4 x 5
• 4 x 6
• 4 x 7
• 4 x 8
• 4 x 9
• 4 x 10

• 6 x 1
• 6 x 2
• 6 x 3
• 6 x 4
• 6x 5
• 6 x 6
• 6 x 7
• 6 x 8
• 6 x 9
• 6 x 10

• 8 x 1
• 8 x 2
• 8 x 3
• 8 x 4
• 8 x 5
• 8 x 6
• 8 x 7
• 8 x 8
• 8 x 9
• 8 x 10

• 7 x 1
• 7 x 2
• 7 x 3
• 7 x 4
• 7 x 5
• 7 x 6
• 7 x 7
• 7 x 8
• 7 x 9
• 7 x 10

148
Mental Math

• Online Place Value Practice

http//www.wmnet.org.uk/wmnet/custom/files_uploade
d/uploaded_resources/853/PlaceValueChartv4.swf
149
Decimals are Less Than One
Analogies

• A tenth is like a dime
• A hundredth is like a penny
• A thousandth is like 1/10 of a penny

150
Decimal ValuesMental Math

• Write the value below in decimal form.

Eighteen hundredths
Ones
Hundredths
Tens
Tenths
Thousandths
151
Decimal ValuesMental Math

• Write the value below in decimal form.

One and ten hundredths
Ones
Hundredths
Tens
Tenths
Thousandths
152
Decimal Values

• Show me one tenth on your slate
• Show me one hundredth
• Show me one thousandth
• Show me two thousandths
• Three thousandths
• Four thousandths
• Five thousandths
• Six thousandths
• Seven thousandths
• Eight thousandths
• Nine thousandths
• What happens at ten thousandths?

153
Decimal ValuesMental Math

• Write the value below in decimal form.

two and five thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
154
Decimal ValuesMental Math

• Write the value below in decimal form.

Ten and four hundred sixty thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
155
Decimal ValuesMental Math

• Write the value below in decimal form.

3 and one hundred fifteen thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
156
Math Message

• Turn to page 221 of your SRB.
• What information is found on this page?

157
RainfallPrecipitation

• Which part of the country has the most rainfall
  in September?
• Which parts have the least rainfall?
• How much precipitation does Bismarck receive?

158
Understanding Millimeters
If you look at the meter side of your ruler, you
will notice that every centimeter is made up of
ten parts (or lines). Those parts are called
millimeters.

• How many millimeters are in a centimeter?
• How would you write that as a fraction?
• How many centimeters are in a meter?
• How would you write that as a fraction?
• How many millimeters are in a meter?
• How would you write that as a fraction?

159
Centimeters and Millimeters

• Read this decimal place value 20.1 cm
• How many whole centimeters are there?
• How many partial centimeters are there?
• How many millimeters are in .1 centimeter?

160
What cities have between 9.0 and 10.0 centimeters
of rain in September?
Precipitation in cm
cities
Which city receives less than 1 centimeter of
rain in September?
161
Partner Practice

• Complete page 121 of your math journal with your
  partner.
• When you have finished, you may complete the math
  boxes on page 122.

162
Place Value in Decimals
5.11
Our Objectives To practice decimal place value
to the thousandths
What are the three decimal place values we have
studied?
163
Mental Math

• Online Place Value Practice

http//www.wmnet.org.uk/wmnet/custom/files_uploade
d/uploaded_resources/853/PlaceValueChartv4.swf
164
Decimal ValuesMental Math

• Write the value below in decimal form.

4 tenths
Ones
Hundredths
Tens
Tenths
Thousandths
165
Decimal ValuesMental Math

• Write the value below in decimal form.

One and 7 tenths
Ones
Hundredths
Tens
Tenths
Thousandths
166
Decimal ValuesMental Math

• Write the value below in decimal form.

Forty-two hundredths
Ones
Hundredths
Tens
Tenths
Thousandths
167
Decimal ValuesMental Math

• Write the value below in decimal form.

Sixty-five hundredths
Ones
Hundredths
Tens
Tenths
Thousandths
168
Decimal ValuesMental Math

• Write the value below in decimal form.

Eight hundredths
Ones
Hundredths
Tens
Tenths
Thousandths
169
Decimal ValuesMental Math

• Write the value below in decimal form.

Four hundred twenty-five thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
170
Decimal ValuesMental Math

• Write the value below in decimal form.

Four hundred five thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
171
Decimal ValuesMental Math

• Write the value below in decimal form.

Four and 5 hundredths
Ones
Hundredths
Tens
Tenths
Thousandths
172
Decimal ValuesMental Math

• Write the value below in decimal form.

Thirteen and three hundred sixty-two thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
173
Place Value Book

• We are going to use math masters page 153 to make
  a decimal place value flip-book.
• Cut along the dashed lines.
• DO NOT CUT ANY SOLID LINES
• Assemble with the pages in order.

174
Independent Practice

• When you have finished, return to your seat and
  complete math journal page 123.
• Then work on the math boxes on page 124.

175
Place Value Unit Review
5.12
Our Objectives To review and decimal place
value to the thousandths
How do we use place value in decimals?
176
Mental Math

• Online Decimal Place Value Practice

http//www.amblesideprimary.com/ambleweb/mentalmat
hs/numberlines.html
177
Mental Math
Identify the larger numbers from the given Sets

• 2,468 ___ 6.824
• 90.43 ___ 940.3
• 1,237.46 ___15,422
• 43.066 ___ 43.606
• 12.42 ___ 12.24
• 152.324 ___ 152.334

Greater Gator
178
Math Review

• Write the values shown by the given base 10
  blocks.

Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
179
Math Review

• Write the values shown by the given base 10
  blocks.

Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
180
Math Review

• Write the values shown by the given base 10
  blocks.

Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
181
Math Review

• Write the values shown by the given base 10
  blocks.

Decimal Value ____ _____ ____ _____
Hundredths
Ones
Tens
Tenths
Fraction Out of 100
182
Decimal ValuesReview

• Write the value below in decimal form.

Six and two tenths
Ones
Hundredths
Tens
Tenths
Thousandths
183
Decimal ValuesReview

• Write the value below in decimal form.

Twenty-five and nine hundredths
Ones
Hundredths
Tens
Tenths
Thousandths
184
Decimal ValuesReview

• Write the value below in decimal form.

Forty and two hundred eighteen thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
185
Decimal ValuesReview

• Write the value below in decimal form.

Thirty five and six thousandths
Ones
Hundredths
Tens
Tenths
Thousandths
186
Number Matching
Link to Smart Notebook Activity
187
Math Boxes 5.12

• Complete the math boxes on page 126 of your math
  journal.

188
Place Value Jeopardy

• Are you ready to place some Jeopardy?