Fractions and Decimals 16, Place Value 22, Money and Financial Mathematics 11_Explicit Learning Plan
(Year 4) ACMNA080, NSW MA2 7NA
Money has two decimal places, cents as a fraction of a dollar, other countries’ currencies as decimal.
Resources: Playing cards, pencil, paper
EXPLICIT LEARNING
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 decimals
and multiplicative
place value Place
Value 20, 21
Display a
multiplicative
place value
chart with
decimals to
hundredths,
for example,
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►
Today brings an investigation about money and decimals.
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What do you know about money and decimals?
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Talk about money and decimals with a friend.
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Is anyone ready to share what they are thinking about
money and decimals?
►
We’ve investigated decimals.
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And we found that decimals are fractions recorded using
multiplicative place value.
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We found that in multiplicative place value we are
multiplying by 10 to get the values of the column to the
left and dividing by 10 to get the values of the column to
the right.
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We found that if we divided one by 10, we get a tenth.
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And if we divide a tenth by 10, we get a hundredth.
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Record 4.25
in the place
value chart,
for example,
Reviews standard
and non-standard
place value of
numbers including
decimals
Record, for example,
Place Value 20,
4.25 = 4 ones + 2 tenths + 5 hundredths
21
2
4.25 = 4 + 10 +
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We found that we could record numbers using a decimal
point to show us where the ones column is.
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So four point two-five means 4 ones, 2 tenths and 5
hundredths.
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We investigated standard and non-standard place value.
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We found that four point two-five also means 4 ones, 25
hundredths, and 425 hundredths.
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We’ve also investigated money.
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We found that there are 100 cents in one dollar.
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If there are 100 cents in $1, what fraction of $1 is 1 cent?
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Is 1 cents, 1 hundredth of a dollar?
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We’ve investigated decimals.
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How do we record 1 hundredth as a decimal?
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Into which column will the 1 go?
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Will the one go in the hundredths column?
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Do we record 1 hundredth as zero point zero 1?
5
100
4.25 = 42 tenths + 5 hundredths
4.25 =
Introduces cents
as a decimal
fraction of a
dollar
42
10
+
5
100
4.25 = 425 hundredths
4.25 =
425
100
Record, for example, $1 = 100 cents
1
Record, for example, 1 cent = 100 dollar
Record, for example, 0.01
1
Record, for example, 1 cent = 100 dollar = $0.01
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2
►
So 1 cent is 1 hundredth of a dollar, which is zero point
zero one of a dollar.
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How would we record 2 cents?
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If 1 cent is 1 hundredth of a dollar, what fraction of a
dollar is 2 cents?
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Is 2 cents, 2 hundredths of a dollar?
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How would we record this as a decimal?
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Would we record it as zero point zero 2?
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How would we record 10 cents?
Record, for example, 10 cents = 10 dollar
►
What fraction of a dollar is 10 cents?
Record, for example, 0.1
►
Is 10 cents, 1 tenth of a dollar?
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Would we record 10 cents as zero point one?
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Is zero point one also 10 hundredths?
►
Could we record 10 cents as zero point one zero of a
dollar?
2
Record, for example, 2 cents = 100 dollar
2
Record, for example, 2 cents = 100 dollar = $0.02
1
Record, for example, 0.1 = 0.10
1
Record, for example, 10 cents = 10 dollar = $0.10
Allow children time now to engage in guided and independent
investigation (at the end of this teaching plan) of explaining cents as
fraction of a dollar and as a decimal of a dollar.
Introduces dollars
and cents as
decimal place
value
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1
Record, for example, 1 cent = 100 dollar
1
►
We’ve investigated dollars and cents.
►
And we found that because there are 100 cents in 1
dollar, 1 cent is 1 hundredth of a dollar.
►
We found that we could record 1 cents as a decimal
fraction of a dollar as zero point zero one.
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Today we’re going to investigate recording dollars and
cents.
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Here we have 4 dollars 25.
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What is the value of the 5 in 4 dollars 25?
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Is the 5, 5 cents?
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Is 5 cents, 5 hundredths of a dollar?
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What is the value of the 2 in 4 dollars 25?
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Is the 2, 20 cents?
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Is 20 cents, 20 hundredths of a dollar?
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Is 20 hundredths, 2 tenths?
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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?
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Is the 4, 4 ones?
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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?
Record, for example, 1 cent = 100 dollar = $0.01
Record, for example, $4.25
Record, for example,
$4
.
2
hundredths
5
tenths hundredths
Record, for example,
$4
.
ones
Record, for example,
$4
2
5
tenths hundredths
.
2
5
Allow children time now to engage in guided and independent
investigation (at the end of this teaching plan) of explaining dollars
and cents using place value with decimals to hundredths.
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