Math-Module-1-Lesson-5

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Module 1 Lesson 5
Common Core
Standards
5.NBT.3 Read, write, and compare decimals to thousandths.
Read and write decimals to thousandths using base-ten numerals,
number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 ×
10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
Compare two decimals to thousandths based on meanings of the
digits in each
place, using >, =, and < symbols to record the results of
comparisons.
Learning Targets
• I can name decimal fractions in
expanded, unit, and word forms by
applying place value reasoning
Activate
Knowledge
Write 54 tenths as a decimal
Activate
Knowledge
Multiply by
2
10
5
4
Activate
Knowledge
Write 6 tenths as a decimal
Activate
Knowledge
Multiply by
2
10
6
Activate
Knowledge
Divide by
2
10
6
Activate
Knowledge
Write two and seven hundred eighty-four thousandths
Activate
Knowledge
Multiply by
3
10
2
7
8
4
Activate
Knowledge
Write six thousand five hundred eighty-three
Activate
Knowledge
Divide by
6
5
3
10
8
3
Activate
Knowledge
3 m = _____cm
Show 3 on your place value chart
Activate
Knowledge
3 m = _____cm
Show how many centimeters in 3 meter on your chart
(Use arrows)
3
Activate
Knowledge
7 kg = ____ g
3
Activate
Knowledge
7000 ml = ____ l,
3
Activate
Knowledge
7500 m = ____ km ____ m
Activate
Knowledge
8350 g = ____ kg ____ g
Activate
Knowledge
Jordan measures a desk at 200 cm. James
measures the same desk in millimeters,
and Amy measures the same desk in
meters.
What is James measurement in millimeters?
Activate
Knowledge
Jordan measures a desk at 200 cm. James
measures the same desk in millimeters,
and Amy measures the same desk in
meters.
What is Amy’s measurement in meters?
Learn
Three thousand forty seven
Write this number in standard form, expanded form,
and unit form.
Learn
Write one thousandth using digits
on your place value chart.
Learn
We write 1 thousandth as a fraction like this.
1
1000
Learn
1 thousandth is a single copy of a thousandth. I can
write the expanded form using a fraction like this
 1 
1 

 1000 
Learn
1 thousandth is a single copy of a thousandth. I can
write the expanded form using a fraction like this
 1 
1 

 1000 
or using a decimal like this
1 × 0.001.
Learn
1
One thousandth = 0.001 
1000
1
 1 
 1 

 1000 
1000
0.001  1 0.001
1 thousandth
Learn
Imagine 3 copies of 1 thousandth.
How many thousandths is that?
Learn
Imagine 3 copies of 1 thousandth.
How many thousandths is that?
3
Three thousandths = 0.003 
1000
3
 1 
 3 

 1000 
1000
0.003  3  0.001
3 thousandths
Teamwork
Write thirteen thousandths in standard form, and
expanded form using fractions and then using
decimals. Turn and share with your partner.
Learn
Write thirteen thousandths in standard form, and
expanded form using fractions and then using
decimals. Turn and share with your partner.
 1 
 1 
0.013  1 
 3 
 1 0.01  3 0.001


 100 
 1000 
Learn
Write thirteen thousandths in unit form
Learn
Write thirteen thousandths in unit form
1 hundredth 3 thousandths = 13 thousandths
Learn
13
Thirteen thousandths = 0.013 
1000
13
 1 
 1 
 1 
3 


 100 
 1000 
1000
0.013  1 0.01 3  0.001
1 hundredth 3 thousandths
13 thousandths
✔
Check
Understanding
Write in expanded form with fractions and decimals
Zero and two hundred seventy-two thousandths
✔
Check
Understanding
Write in unit forms
Zero and two hundred seventy-two thousandths
✔
Check
Understanding
Write in expanded form with fractions and decimals
One and six hundred eight thousandths
✔
Check
Understanding
Write in unit forms
One and six hundred eight thousandths
✔
Check
Understanding
Write 25.413 in word form
✔
Check
Understanding
Write 25.413 in unit forms
✔
Check
Understanding
Write 25.413 as a mixed number and
in expanded forms
✔
Check
Understanding
413
Twenty-five and four hundred thirteen thousandths = 25.413  25
1000
413
 1
 1 
 1 
25
 2  10  5  1 4     1 
 3 







1000
10
100
1000
25.413  2  10  5  1 4  0.1 1 0.01 3  0.001
2tens 5 ones 4 tenths 1 hundredth 3 thousandths
25 ones 413 thousandths
✔
Check
Understanding
Write 12.04 in word form
✔
Check
Understanding
Write 12.04 in unit forms
✔
Check
Understanding
Write 12.04 as a mixed number and
in expanded forms
✔
Check
Understanding
4
Twelve and four hundredths = 12.04  12
100
4
 1 
12
 1 10  2  1 4  

 100 
100
12.04  1 10  2  1 4  0.01
1 tens 2 ones 4 hundredths
12 ones 4 hundredths
✔
Check
Understanding
Write 9.495 in word form
✔
Check
Understanding
Write 9.495 in unit forms
✔
Check
Understanding
Write 9.495 as a mixed number and
in expanded forms
✔
Check
Understanding
495
Nine and four hundred ninety five thousandths = 9.495  9
1000
495
 1
 1 
 1 
9
 9 1 4     9  
5


 10 
 100 
 1000 
1000
9.495  9 1 4  0.1 9  0.01 5  0.001
9 ones 4 tenths 9 hundredths 5 thousandths
9 ones 495 thousandths
Practice
Express as decimal numerals.
four thousandths
Practice
Express as decimal numerals.
twenty-four thousandths
Practice
Express as decimal numerals.
one and three hundred twenty-four thousandths
Practice
Express as decimal numerals.
six hundred eight thousandths
Practice
Express as decimal numerals.
six hundred and eight thousandths
Practice
Express as decimal numerals.
46
1000
Practice
Express as decimal numerals.
3
946
1000
Practice
Express as decimal numerals.
200
904
1000
Practice
Express in words.
0.005
Practice
Express in words.
11.037
Practice
Express in words.
403.608
Practice
Write the number on a place value chart then write it in
expanded form using fractions or decimals to express
the decimal place value units.
35.827
tens
ones
tenths
thousandth
hundredths
s
Practice
Write the number on a place value chart then write it in
expanded form using fractions or decimals to express
the decimal place value units.
0.249
tens
ones
tenths
thousandth
hundredths
s
Practice
Write the number on a place value chart then write it in
expanded form using fractions or decimals to express
the decimal place value units.
57.281
tens
ones
tenths
thousandth
hundredths
s
Practice
Write a decimal for each of the following.
Use a place value chart to help if needed
7 10  4 1 6  
1
10
tens
ones
 9   1  
tenths
1
100
hundredths
1
1000
thousandth
s
Practice
Write a decimal for each of the following.
Use a place value chart to help if needed
5  100  3  10  8  0.1  9  0.001
thousands
hundreds
tens
ones
tenths
hundredths
thousandth
s
Practice
Write a decimal for each of the following.
Use a place value chart to help if needed
4 1000  2 100  7 1 3 
1
100
thousands
hundreds
tens
ones
tenths
 4   
1
1000
hundredths
thousandth
s
Practice
Mr. Pham wrote 2.619 on the board.
Christy says its two and six hundred
nineteen thousandths. Amy says its 2
ones 6 tenths 1 hundredth 9 thousandths.
Who is right? Use words and numbers to
explain your answer.
Exit
Ticket
Express nine thousandths as a decimal.
Exit
Ticket
Express twenty-nine thousandths as a fraction.
Exit
Ticket
Express 24.357 in words.
Exit
Ticket
Express 24.357 in expanded form using
fractions or decimals.
Exit
Ticket
Express 24.357 in unit form.
Review
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