PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
ESSENTIAL PRIOR, RELATED AND NEXT LEARNING
Identify students’ current levels of understanding using tracking data, and formative embedded or separate assessment for this concept, and for the essential prior learning.
Essential Prior Learning
Differentiate learning
by including the
segment of each
Teaching Plan that
children demonstrate
they are ready to
investigate.
Fractions and Decimals 10, 14 – Fractions on
a number line
Fractions and Decimals 13 – Equivalent
fractions have the same relationship
between the numerator and the
denominator
Essential Related Learning
Place Value 25, Fractions and
Decimals 21 – Place value of
decimals to thousandths
Essential Next Learning
Place Value 27, Fractions and Decimals 24,
Patterns and Algebra 27 – Patterns with
decimals
Use assessment data to select the levels of this concept, or essential related concepts, and the segments of each explicit teaching plan, to teach.
TEACHING VIDEOS, EXPLICIT TEACHING PLAN, INVESTIGATION, REFLECTION, PROBLEM SOLVING
The videos and the explicit teaching plan are divided into the same segments of the concept.
TEACHING SEGMENT and VIDEO 1: Order decimals to tenths on a number line
TEACHING SEGMENT and VIDEO 2: Order decimals to hundredths on a number line
TEACHING SEGMENT and VIDEO 3: Order decimals to thousandths on a number line
VIEW the videos before teaching, to develop YOUR understanding and metalanguage, then teach the concept using YOUR understanding and metalanguage and the Explicit
Teaching PowerPoint, and/or SHOW the video to the whole class / groups of children / individual children to develop THEIR understanding and metalanguage.
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
PLACE VALUE 26, FRACTIONS AND DECIMALS 22_OVERVIEW OF EXPLICIT TEACHING PLAN
(Year 5) ACMNA104 NSW MA3 7NA
Order decimals to thousandths on a number line, recording decimals as fractions and decimals.
THIS IS A SUMMARY OF THE EXPLICIT TEACHING PLAN, DESCRIBING THE SEQUENCE WHICH WILL OCCUR OVER MULTIPLE LESSONS. THE COMPLETE EXPLICIT TEACHING PLAN STARTS ON PAGE 3.
Children:
Children
SEGMENT 1:
Order 10ths
on a number
line.

record a number line between 0 and 1 and place 10ths on it,
labelling the 10ths as fractions and decimals, for example,
 ask one another questions about placing decimals and
fractions to thousandths on a number line, for example:
► How could we place tenths on a number line?
► How could we place hundredths on a number line?
► How could we place thousandths on a number line?
SEGMENT 2:
Order 100ths
on a number
line.

place 100ths on the
number, labelling the
100ths as fractions and
decimals, for example,
SEGMENT 3:
Order
1000ths on a
number line.

place 1000ths on the
number, labelling the
1000ths as fractions and
decimals, for example,
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
PLACE VALUE 26, FRACTIONS AND DECIMALS 22_EXPLICIT TEACHING PLAN
(Year 5) ACMNA104 NSW MA3 7NA
FULL EXPLICIT TEACHING PLAN, EMBEDDING THE INVESTIGATIONS, REFLECTIONS AND PROBLEMS THAT MAY BE USED TO DEVELOP DEEP UNDERSTANDING OVER MULTIPLE LESSONS.
Resources: playing cards, square centimetre grid paper, pencil, paper
Focuses children’s
thoughts on the
concept, exposing
current
understanding and
any
misconceptions.
What could we do?
What language could we use to explain and ask questions?
Children think about, talk and listen to a friend about, then have the
opportunity to share what they already know.
Reviews
fractions on a
number line.
(Fractions and
Decimals 10, 14)
Children record a number line from zero to one, on square
centimetre grid paper, for example,
Introduces
recording tenths
as fractions and
decimals on a
number line. top
0
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1
►
Today brings an investigation about ordering decimals.
►
What do you know about ordering decimals?
►
Talk about ordering decimals with a friend.
►
Is anyone ready to share what they are thinking about
ordering decimals?
►
We’ve investigated ordering fractions on a number line.
►
Today we’re going to investigate ordering decimals on a number line.
►
Let’s record a number line between zero and 1 on square
centimetre grid paper.
►
If our number line is between zero and 1, what type of
numbers will we place on our number line?
►
Will we place fractions and decimals on our number line?
►
Do fractions and decimals come between whole numbers?
►
Where will 5 tenths go on this number line?
►
Is 5 tenths equivalent to a half?
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Reviews
equivalent
fractions have the
same relationship
between the
numerator and the
denominator.
(Fractions and
Decimals 13)
Children record 5 tenths on the number line, for example,
0
𝟓
Do 5 tenths and a half have the same relationship
between the numerator and denominator?
►
Is 5 half of 10?
►
Is 1 half of 2?
►
So is 5 tenths and a half, equivalent fractions?
►
Let’s place 5 tenths half way along the number line.
►
How do we record 5 tenths as a decimal?
►
What is the value of the column to the right of the ones
column?
►
Is the value of the column to the right of the ones column,
tenths?
►
Why?
►
Are we dividing by 10 as we move one column to the
right?
►
Is 1 divided by 10, a tenth?
►
So if the value of the column to the right of the ones
column is tenths, will we place the 5 in the tenths column?
►
Will 5 tenths as a decimal be 0.5?
►
Now that we have 5 tenths, could we place 1 tenth on the
number line?
1
𝟏𝟎
Reviews
recording tenths
as fractions and as
decimals. (Place
Value 25,
Fractions and
Decimals 21)
Children record 0.5 on the number line, for example,
0
►
𝟓
1
𝟏𝟎
0.5
Children record 1 tenth, 2 tenths, 3 tenths and 4 tenths on the
number line, for example,
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
1
0.5
Children record 0.1, 0.2, 0.3, and 0.4 on the number line, for example,
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
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►
Will 1 tenth be 1 tenth of the way along the number line?
►
Could we place 2 tenths on the number line?
►
Will 1 tenth be 2 tenths of the way along the number line?
►
Could we place 3 tenths on the number line?
►
Will 3 tenth be 3 tenths of the way along the number line?
►
Could we place 4 tenths on the number line?
►
Will 4 tenth be 4 tenths of the way along the number line?
►
How do we record 1 tenth as a decimal?
►
What is the value of the column to the right of the ones
column?
►
Is the value of the column to the right of the ones column,
tenths?
►
Why?
►
Are we dividing by 10 as we move one column to the
right?
►
Is 1 divided by 10, a tenth?
►
So if the value of the column to the right of the ones
column is tenths, will we place the 1 in the tenths column?
►
Will 1 tenth as a decimal be 0.1?
►
Will 2 tenths as a decimal be 0.2?
►
Will 3 tenths as a decimal be 0.3?
►
Will 4 tenths as a decimal be 0.4?
1
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Children record 6 tenths, 7 tenths, 8 tenths and 9 tenths on the
number line, for example,
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
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Now that we have 1 tenth, 2 tenths, 3 tenths, 4 tenths and
5 tenths, could we place 6 tenths, 7 tenths, 8 tenths and 9
tenths on the number line?
►
How do we record 6 tenths as a decimal?
►
What is the value of the column to the right of the ones
column?
►
Is the value of the column to the right of the ones column,
tenths?
►
Why?
►
Are we dividing by 10 as we move one column to the
right?
►
Is 1 divided by 10, a tenth?
►
So if the value of the column to the right of the ones
column is tenths, will we place the 6 in the tenths column?
►
Will 6 tenths as a decimal be 0.6?
►
Will 7 tenths as a decimal be 0.7?
►
Will 8 tenths as a decimal be 0.8?
►
Will 9 tenths as a decimal be 0.9?
1
Children record 0.6, 0.7, 0.8, and 0.9 on the number line, for example,
0
►
1
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Introduces
the investigation,
reflection and
problem solving
related to this
segment of the
concept.
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Introduces
recording
hundredths as
fractions and
decimals on a
number line. top
Reviews
equivalent
fractions have the
same relationship
between the
numerator and the
denominator.
(Fractions and
Decimals 13)
Display the number line with the tenths as fractions and decimals
displayed, for example,
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
►
We’ve investigated placing tenths as fractions and
decimals on a number line.
►
Today we’re going to investigate placing hundredths as fractions and
decimals on a number line.
►
This number line has tenths as fractions and as decimals
placed on it.
►
The lowest fraction on this number line is 1 tenth.
►
1 tenth is equivalent to how many hundredths?
►
We’ve investigated equivalent fractions and we found that
equivalent fractions have the same relationship between
the numerator and the denominator.
►
What is the relationship between the numerator and
denominator in one tenth?
►
Is 1 a tenth of 10?
►
So we need to find a tenth of 100.
►
Is 10 a tenth of 100?
►
Will the numerator be 10 if the denominator is 100?
►
Is 1 tenth equivalent to 10 hundredths?
1
1
Record, for example, 10 =
Record, for example,
1
10
=
100
10
100
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Reviews
recording
hundredths as
fractions and as
decimals.
(Fractions and
Decimals 12)
Record 10 hundredths on the number line as a fraction, for example,
►
Let’s record 10 hundredths on the number line.
►
How do we record 10 hundredths as a decimal using place
value?
►
Is 10 hundredths 0.10?
►
Is 0.10 and 0.1 the same amount?
Point to the 0.1 on the number line, for example,
►
Do we already have 10 hundredths as a decimal recorded
on the number line?
Record multiples of 10 hundredths on the number line as a fraction,
for example,
►
Can we place multiples of 10 hundredths on the number
line?
►
So this is where 10 hundredths is on the number line.
►
Where will 1 hundredth go on the number line?
►
How many hundredths in a tenth?
►
Are there 10 hundredths in a tenth?
►
So will 1 hundredth be a tenth of a tenth?
𝟏𝟎
𝟏𝟎𝟎
0
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
𝟏𝟎
𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Point to the 0.1 on the number line, for example,
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Record 1 hundredth on the number line as a fraction, for example,
𝟏
𝟏𝟎
𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
0
1
1
Record, for example, 100 = 0.01
►
Let’s record 1 hundredth on the number line as a fraction.
►
How do we record 1 hundredth as a decimal?
►
Which column has the value of hundredths?
►
Does the column 2 to the right of the ones column have
the value of hundredths?
►
Is that because we divided 1 by 100 to get a hundredth?
►
When we move 2 places to the right, are we dividing by
100?
►
Let’s record 1 hundredth as a decimal by placing the 1 in
the hundredths column.
►
Let’s record 1 hundredth as a decimal on the number line.
Record 1 hundredth on the number line as a decimal, for example,
0.01
𝟏
𝟏𝟎
𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
0
Website: http://www.alearningplace.com.au
Email: [email protected]
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Record 15 hundredths on the number line as a fraction, for example,
►
Where will 15 hundredths go on the number line?
0.01
►
How many hundredths in a tenth?
►
Are there 10 hundredths in a tenth?
►
So will we have 1 tenth plus 5 hundredths?
►
If 10 hundredths is 1 tenth, is 5 hundredths half of a
tenth?
►
So will 15 hundredths be 1 tenth plus half of a tenth?
►
Let’s record 15 hundredths on the number line as a
fraction.
►
How do we record 15 hundredths as a decimal?
►
Is 15 hundredths 1 tenth plus 5 hundredths?
►
Which column has the value of tenths?
►
Does the column 1 to the right of the ones column have
the value of tenths?
►
Is that because we divided 1 by 10 to get a tenth?
►
When we move 1 place to the right, are we dividing by 10?
►
Which column has the value of hundredths?
►
Does the column 2 to the right of the ones column have
the value of hundredths?
►
Is that because we divided 1 by 100 to get a hundredth?
►
When we move 2 place to the right, are we dividing by
100?
𝟏
𝟏𝟎 𝟏𝟓 𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎 𝟏𝟎𝟎 𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
15
Record, for example, 100 = 0.15
►
Let’s record 1 tenth and 5 hundredths as a decimal by
placing the 1 in the tenths column and 5 in the hundredths
column.
►
If we read across the columns using non-standard place
value, can we see that we have 15 hundredths?
►
Let’s record 15 hundredths as a decimal on the number
line.
Record 0.15 in a place value chart with a
dotted line from the 1 to the 5 and up to the
hundredths label, for example,
Record 15 hundredths on the number line as a fraction, for example,
0.01
0.15
𝟏
𝟏𝟎 𝟏𝟓 𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎 𝟏𝟎𝟎 𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
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𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
1
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Introduces
the investigation,
reflection and
problem solving
related to this
segment of the
concept.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
13
PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Introduces
recording
thousandths as
fractions and
decimals on a
number line. top
Display the number line with the tenths and hundredths as fractions
and decimals displayed, for example,
►
We’ve investigated placing tenths and hundredths as
fractions and decimals on a number line.
0.01
►
Today we’re going to investigate placing thousandths as fractions
and decimals on a number line.
►
This number line has tenths and hundredths as fractions
and as decimals placed on it.
►
We have 1 tenth and 10 hundredths as equivalent
decimals.
►
How many thousandths is equal to 1 tenth and 10
hundredths?
►
Let’s look at 1 tenth in a place value chart.
►
Is 1 tenth equal to 10 hundredths?
►
Is 1 tenth equal to 100 thousandths?
►
We investigated equivalent fractions, and we found that
equivalent fractions have the same relationship between
numerator and numerator.
►
Do 1 tenth, 10 hundredths and 100 thousandths have the
same relationship between the numerator and
denominator?
0.15
𝟏
𝟏𝟎 𝟏𝟓 𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎 𝟏𝟎𝟎 𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Record, for example, 10 =
10
100
=
1
1000
Record 0.1 in a place
value chart, for example,
0 . 1
1
Record, for example, 10 =
10
100
=
0
0
100
1000
Reviews
equivalent
fractions have the
same relationship
between the
numerator and the
denominator
(Fractions and
Decimals 13)
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Reviews
recording
thousandths as
fractions and as
decimals
(Fractions and
Decimals 21)
Place 100 thousandths on the number line, for example,
𝟏𝟎𝟎
►
Can we place 100 thousandths on the number line?
►
Is 100 thousandths 0.100?
►
Is 0.100 and 0.1 the same amount?
►
Do we already have 100 thousandths as a decimal
recorded on the number line?
►
Can we place multiples of 100 thousandths on the number
line?
𝟏𝟎𝟎𝟎
Place multiples of 100 thousandths on the number line, for example,
100
200
300
400
500
600
700
800
900
1000
1000
1000
1000
1000
1000
1000
1000
1000
1000
1000
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
15
PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
1
Record, for example, 100 =
Record 0.01 in a place
value chart, for example,
0 . 0
Record, for example,
1
=
100
1
0.01
►
1 hundredth is equivalent to how many thousandths?
►
Let’s look at 1 hundredth in a place value chart.
►
Is 1 hundredth equal to 10 thousandths?
►
Let’s record 10 thousandths on the number line.
►
How do we record 10 thousandths as a decimal using
place value?
►
Is 10 thousandths 0.010?
►
Is 0.010 and 0.01 the same amount?
►
Do we already have 10 thousandths as a decimal recorded
on the number line?
►
So this is where 10 thousandths is on the number line.
►
We know that each hundredth is 10 thousandths.
►
So where will 150 thousandths go on the number line?
►
If each hundredth is 10 thousandths, will 15 hundredths
be 150 thousandths?
10
1000
200
300
400
500
600
700
800
900
1000
1000
1000
1000
1000
1000
1000
1000
1000
1000
0.15
𝟏
𝟏𝟎 𝟏𝟓 𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎 𝟏𝟎𝟎 𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
0
The lowest fraction on this number line is 1 hundredth.
0
Record 10 thousandths on the number line as a fraction, for example,
𝟏𝟎 100
𝟏𝟎𝟎𝟎 1000
►
1000
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Point to the 0.01 on the number line, for example,
Record, for example,
15
100
=
150
1000
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Record 150 thousandths on the number line as a fraction, for
example,
𝟏𝟎
𝟏𝟎𝟎
𝟏𝟓𝟎
𝟐𝟎𝟎
𝟑𝟎𝟎
𝟒𝟎𝟎
𝟓𝟎𝟎
𝟔𝟎𝟎
𝟕𝟎𝟎
𝟖𝟎𝟎
𝟗𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
0.01
Let’s record 150 thousandths on the number line as a
fraction.
►
How do we record 150 thousandths as a decimal?
►
We know that 150 thousandths equivalent to 15
hundredths?
►
And we know that 15 hundredths is 1 tenth plus 5
hundredths?
►
Which column has the value of tenths?
►
Does the column 1 to the right of the ones column have
the value of tenths?
►
Is that because we divided 1 by 10 to get a tenth?
►
When we move 1 place to the right, are we dividing by 10?
►
Which column has the value of hundredths?
►
Does the column 2 to the right of the ones column have
the value of hundredths?
►
Is that because we divided 1 by 100 to get a hundredth?
0.15
𝟏
𝟏𝟎 𝟏𝟓 𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎 𝟏𝟎𝟎 𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
0
►
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
1
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Facebook: A Learning Place
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PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Record 0.150 in a place value chart
with a dotted line from the 1 to the 0
and up to the thousandths label, for
example,
Record a dotted line from the 1 to
the 5 and up to the hundredths
label, for example,
𝟏𝟎
𝟏𝟎𝟎
𝟏𝟓𝟎
𝟐𝟎𝟎
𝟑𝟎𝟎
𝟒𝟎𝟎
𝟓𝟎𝟎
𝟔𝟎𝟎
𝟕𝟎𝟎
𝟖𝟎𝟎
𝟗𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
0.01
0.15
𝟏
𝟏𝟎 𝟏𝟓 𝟐𝟎
𝟑𝟎
𝟒𝟎
𝟓𝟎
𝟔𝟎
𝟕𝟎
𝟖𝟎
𝟗𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎 𝟏𝟎𝟎 𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
𝟏𝟎𝟎
0
𝟏
𝟐
𝟑
𝟒
𝟓
𝟔
𝟕
𝟖
𝟗
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
𝟏𝟎
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
►
When we move 2 place to the right, are we dividing by
100?
►
Let’s record 1 tenth and 5 hundredths as a decimal by
placing the 1 in the tenths column and 5 in the hundredths
column.
►
If we read across the columns using non-standard place
value, can we see that we have 150 thousandths?
►
Do we need to record the zero in the thousandths place?
►
Do we have the same number whether we record the zero
or not?
►
Have we already recorded 150 thousandths as a decimal
on the number line.
1
Point to the 0.15 on the number line, for example,
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
18
PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Introduces
the investigation,
reflection and
problem solving
related to this
segment of the
concept.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
19
PLACE VALUE 26, FRACTIONS AND DECIMALS 22 – TEACHING ORDERING DECIMALS TO THOUSANDTHS
Square centimetre grid paper (back)
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
20