MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22 – TEACHING MONEY AS DECIMAL TO 2 PLACES
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.
Differentiate learning
by including the
segment of each
Teaching Plan that
children demonstrate
they are ready to
investigate.
Essential Prior Learning
Place Value 20, 21, Fractions and Decimals 11, 12 –
Multiplicative and additive place value to tenths and
hundredths
Essential Next Learning
Place Value 23, Fractions and Decimals 17 - Round a number with one or
two decimal places to the nearest whole number
Fractions and Decimals 13 - Equivalent fractions with
concrete material and the relationship between
numerator and denominator
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: Money as decimal
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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MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22 – TEACHING MONEY AS DECIMAL TO 2 PLACES
MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22_OVERVIEW OF EXPLICIT TEACHING PLAN
(Year 5) ACMNA104 NSW MA3 7NA
Money as decimal to two decimal places, and cents as a fraction of a dollar, other countries’ currencies as decimal.
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.
SEGMENT 1:
Money as
decimal to 2
places.
Children:
Children:

explain 1 cents as 1 hundredth of a dollar as a fraction and as a
1
decimal, for example, 1 cent = 100 dollar = 0.01 dollar = $0.01
 ask one another questions about money as decimal to 2
places, for example:

explain 2 cents as 2 hundredths of a dollar as a fraction and as a
2
decimal, for example, 2 cents = 100 dollar = 0.02 dollar = $0.02



explain 10 cents as 1 tenth and as 10 hundredths of a dollar as a
1
10
fraction and as a decimal, for example, 10 cents = 10 dollar = 100
dollar = 0.1 dollar = 0.10 dollar = $0.10
explain 25 cents as 1 quarter and as 25 hundredths of a dollar as a
1
25
fraction and as a decimal, for example, 25 cents = 4 dollar = 100
dollar = $0.25
explain $4.25 as 1 one dollar and 1 quarter and as 25 hundredths of
a dollar as a fraction and as a decimal, for example, $4.25 = 4 one
2
5
dollars + 10 dollar + 100 dollar = 4.25 dollars
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►
What fraction of a dollar is 1 cent?
►
How can we record this as a decimal?
►
If we record this with a dollar sign, does 1 hundredth of a
dollar look like 1 cent?
►
What fraction of a dollar is 2 cents?
►
How can we record this as a decimal?
►
If we record this with a dollar sign, does 2 hundredths of
a dollar look like 2 cents?
►
What fraction of a dollar is 10 cents?
►
How can we record this as a decimal?
►
If we record this with a dollar sign, does 1 tenth and 10
hundredths of a dollar look like 10 cents?
►
How can we record 25c as a decimal?
►
How can we record $4.25 as a decimal?
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MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22 – TEACHING MONEY AS DECIMAL TO 2 PLACES
MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22_EXPLICIT TEACHING PLAN
(Year 4) ACMNA080, NSW MA2 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, pencil, paper
What could we do?
Focuses
children’s
Children think about, talk and listen to a friend about, then have the
thoughts on the opportunity to share what they already know.
concept, exposing
current
understanding and
any
misconceptions
Reviews
multiplicative
place value to
tenths and
hundredths.
(Place Value 20,
21, Fractions and
Decimals 11, 12)
What language could we use to explain and ask questions?
►
Today brings an investigation about money and decimals.
►
What do you know about money and decimals?
►
Talk about money and decimals with a friend.
►
Is anyone ready to share what they are thinking about
money and decimals?
►
We’ve investigated decimals.
►
And we found that decimals are fractions recorded using
multiplicative place value.
►
We’ve also investigated money.
►
We found that there are 100 cents in one dollar.
►
Today we’re going to investigate cents as decimal
fractions of a dollar.
►
If there are 100 cents in $1, what fraction of $1 is 1 cent?
►
Is 1 cent, 1 hundredth of a dollar?
Reviews
100 cents in $1
(Money Financial
Mathematics 4)
1
Record, for example, 1 cent = 100 dollar
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MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22 – TEACHING MONEY AS DECIMAL TO 2 PLACES
Introduces
►
We’ve investigated decimals.
►
How do we record 1 hundredth as a decimal?
►
Into which column will the 1 go?
►
Will the one go in the hundredths column?
►
Will we record 1 hundredth as zero point zero 1?
►
So 1 cent is 1 hundredth of a dollar, which is zero point
zero one of a dollar.
►
Let’s put in the dollar sign.
►
Does 0.01 look like 1 cent?
►
How would we record 2 cents?
►
If 1 cent is 1 hundredth of a dollar, what fraction of a
dollar is 2 cents?
►
Is 2 cents, 2 hundredths of a dollar?
►
How would we record this as a decimal?
►
Would we record it as zero point zero 2?
►
Let’s put in the dollar sign.
►
Does 0.02 look like 2 cents?
►
How would we record 10 cents?
►
What fraction of a dollar is 10 cents?
Record, for example, 10 cents = 10 dollar
►
Is 10 cents, 1 tenth of a dollar?
Record, for example, 0.1
►
Would we record 1 tenth as zero point one?
cents as a
decimal fraction
of a dollar – 1
hundredth.
Record, for example, 0.01
1
Record, for example, 1 cent = 100 dollar = 0.01 dollar = $0.01
Record, for example, 2 cents =
2
100
dollar
2
Record, for example, 2 cents = 100 dollar = 0.02 dollar
2
Record, for example, 2 cents = 100 dollar = 0.02 dollar = $0.02
Introduces
10 cents as a
decimal fraction
of a dollar - 1
tenth.
1
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MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22 – TEACHING MONEY AS DECIMAL TO 2 PLACES
Reviews
1
10
Record, for example, 10 dollar = 100 dollar
Point to the numerators and denominators in the 2 fractions.
equivalent
fractions have the
same relationship
between the
numerator and
denominator.
(Fractions and
Record, for example, 0.1 = 0.10
Decimals 13)
Record, for example, 10 cents =
0.10 dollar = $0.10
1
10
10
dollar = 100 dollar = 0.1 dollar =
Introduces
25c as a quarter
of a dollar and as
0.25 of a dollar.
Reviews
25
Record, for example, 25 cents = 100 dollar
1
Record, for example, 25 cents = 4 dollar
1
25
equivalent
Record, for example, 4 dollar = 100 dollar
fractions have the
same relationship
between the
numerator and
denominator.
1
Record, for example, = 0.25
(Fractions and
4
1
Decimals 13)
Record, for example, 25 cents = 4 dollar =
1
Record, for example, 25 cents = 4 dollar =
$0.25
25
100
25
100
dollar = 0.25 dollar
dollar = 0.25 dollar =
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Twitter: @learn4teach
►
Are 1 tenth and 10 hundredths equivalent fractions?
►
Do the fractions 1 tenth and 10 hundredths have the
same relationship between the numerator and
denominator?
►
Is 1, a tenth of 10, and is 10 a tenth of 100?
►
Is zero point one also zero point one-zero?
►
Could we record 10 cents as zero point one zero of a
dollar?
►
Let’s put in the dollar sign.
►
Does 0.10 look like 10 cents?
►
How would we record 25 cents?
►
What fraction of a dollar is 25 cents?
►
Is 25 cents, 25 hundredths of a dollar?
►
Is 25 cents, a quarter of a dollar?
►
Are 25 hundredths and 1 quarter, equivalent fractions –
do they have the same relationship between the
numerator and denominator?
►
Is 25 a quarter of 100, and is 1 a quarter of 4?
►
How would we record 25 hundredths as a decimal?
►
Would we record 25 hundredths as zero point two-five?
►
Could we record 25 cents as zero point two-five of a
dollar?
►
Let’s put in the dollar sign.
►
Does 0.25 look like 25 cents?
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MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22 – TEACHING MONEY AS DECIMAL TO 2 PLACES
Introduces
dollars and cents
as ones of dollars
and decimal
fractions of
dollars.
Record, for example, $4.25
Record, for example, 5 cents =
5
100
Record, for example, 20 cents =
2
10
dollar
dollar =
20
100
dollar
Introduces
our money as a
decimal system
based on place
value.
Record, for example, $4 = 4 ones
Record, for example, $4.25 = 4 one dollars +
2
10
dollar +
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5
100
dollar
►
How could we record 4 dollars 25?
►
What is the value of the 5 in 4 dollars 25?
►
Is the 5, 5 cents?
►
Is 5 cents, 5 hundredths of a dollar?
►
Is the 5 in the hundredths column?
►
What is the value of the 2 in 4 dollars 25?
►
Is the 2, 20 cents?
►
Is 20 cents, 20 hundredths of a dollar?
►
Is 20 hundredths, 2 tenths?
►
Do the fractions 20 hundredths and 2 tenths have the
same relationship between the numerator and
denominator?
►
Is 20 a fifth of 100, and is 20 a fifth of 10?
►
If the value of the 2 is 2 tenths, and the value of the 5 is
5 hundredths, what is the value of the 4?
►
What is the value of the column to the left of the tenths
column?
►
Is the value of the column to the left of the tenths
column, ones?
►
Is the 4, 4 ones?
►
So we have 4 one dollars + 2 tenths of a dollar + 5
hundredths of a dollar
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MONEY AND FINANCIAL MATHEMATICS 11, FRACTIONS AND DECIMALS 16, PLACE VALUE 22 – TEACHING MONEY AS DECIMAL TO 2 PLACES
Record, for example, $4.25 = 4 one dollars +
4.25 dollars
2
10
dollar +
5
100
dollar =
►
Could we record 4 one dollars + 2 tenths of a dollar + 5
hundredths of a dollar as decimals as 4.25?
►
Is the point between the dollars and the cents, a decimal
point?
►
Is our money system based on place value?
►
Is our money system a decimal system?
Introduces
the investigation,
reflection and
problem solving
related to this
segment of the
concept.
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Email: [email protected]
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