Addition and Subtraction 24, Money and Financial Maths 9_Explicit Learning Plan
(Year 3) ACMNA054, ACMNA055, ACMNA059, NSW MA2-5NA
Add and subtract money with up to four digits using mental strategies, including rounding total to the nearest 5 cents, then give change.
Resources: Playing cards, pencil, paper
EXPLICIT LEARNING
Focuses
children’s
thoughts on the
Children think about, talk and listen to a friend about, then have the
concept, exposing
opportunity to share what they already know.
current
understanding and
any
misconceptions
Reviews addition
and subtraction
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►
Today brings an investigation about adding and
subtracting money.
►
What do you know about adding and subtracting money?
►
Talk about adding and subtracting money with a friend.
►
Is anyone ready to share what they are thinking about
adding and subtracting money?
►
We’ve investigated adding and subtracting.
►
And we found that we could use place value.
►
We’ve investigated money.
►
And we found that money is dollars and cents.
►
Today we’re going to investigate adding and subtracting
money.
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1
Reviews adding
groups of coins
Money and
Financial
Mathematics 5, 7
Display a number sentence, for example, 49c + 25c =
►
Let's start by investigating adding cents.
►
How could we add 49 cents and 25 cents?
►
Could we count the coins? In Year 1 and 2, that's how we
added money - we counted coins.
►
But can we add money without counting coins?
►
Introduces adding Record, for example, 49c + 25c =
cents using place
20c + 5c
value on a number
line
10c + 10c
+ 10c
49c
+ 10c
59c
69c
+ 10c
49c
+ 10c
59c
+ 5c
69c
►
Let's record our number sentence 45 cents plus 25 cents
equals
►
Let's start with the 49 cents.
►
How could we partition the 25 cents to add it to 49
cents?
►
Could we partition the 25 cents using place value?
►
Could we partition 25 cents into 20 cents and 5 cents?
►
Record, for example,
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Could we add the 20 cents first?
►
Could we partition the 20 cents into 10 cents plus 10
cents?
►
Could we add the 10 cents by counting by 10s?
►
What is 49 cents plus 10 cents? What is 59 cents plus 10
cents?
►
Now we need to add the 5 cents. What is 69 cents plus 5
cents?
►
Let's record what 49 cents plus 25 cents equals.
►
Does 49 cents plus 25 cents equal 74 cents?
74c
Record, for example, 49c + 25c = 74c
Could we add money on a number line?
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2
Record, for example, 49c + 25c =
►
Could we add the 20 cents in one jump?
20c + 5c
►
Let's start with the 49 cents.
►
How could we partition the 25 cents to add it to 49
cents?
►
Could we partition the 25 cents using place value?
►
Could we partition 25 cents into 20 cents and 5 cents?
+ 20c
49c
+ 1c
69c 70c
Could we add the 20 cents first?
Record, for example, 49c + 25c =
►
20c + 5c
►
What is 49 cents plus 20 cents?
►
Now we need to add the 5 cents.
►
What is 69 cents plus 5 cents?
►
How many do we need to add to make 70 cents?
►
Can we add 1 cent to make 70 cents?
►
How did we partition the 5 cents?
►
Did we partition 5 cents into 1 cent and 4 cents?
►
Can we use place value to add the 4 cents?
►
Let's record what 49 cents plus 25 cents equals
►
Can we pay 74 cents in coins?
►
We investigated coins.
►
And we found that the value of the lowest coin is 5 cents.
►
If the value of the lowest coin is 5 cents, can we pay 74
cents?
►
What are the multiples of 5 cents closest to 74 cents?
1c + 4c
+ 20c
49c
+ 1c
+ 4c
69c 70c
74c
Record, for example, 49c + 25c = 74c
Reviews rounding
amounts to the
nearest 5 cents
Money and
Financial
Mathematics 5, 7
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3
Introduces
subtracting cents
using place value
on a number line
Display a number sentence, for example,
Record, for example, 70c - 27c =
►
Are the multiples of 5 cents closest to 74 cents, 70 cents
and 75 cents?
►
Will we pay 70 cents or 75 cents?
►
Is 74 cents closer to 75 cents?
►
Will we pay 75 cents?
►
Will we round the 74 cents to 75 cents?
►
Let's subtract cents.
►
How much money do we have here?
►
Do we have 70 cents?
►
How could we subtract 25 cents from 70 cents?
►
Could we count the coins? In Year 1 and 2, that's how we
subtracted money - we counted coins
►
But can we subtract money without counting coins?
Could we subtract money on a number line? Let's
investigate
►
Let's record our number sentence 70 cents minus 25
cents equals
►
Let's record a number line
►
Let's start with the 70 cents.
►
How could we partition the 25 cents to subtract it from
70 cents?
►
Could we partition the 25 cents using place value?
►
Could we partition 25 cents into 20 cents and 5 cents?
Record, for example, 70c - 27c =
20c + 7c
10c + 10c
►
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Could we subtract the 20 cents first?
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4
►
Could we partition the 20 cents into 10 cents plus 10
cents?
►
Could we subtract the 10 cents by counting backwards
by 10s?
►
What is 70 cents minus 10 cents?
►
What is 60 cents minus 10 cents?
►
Now we need to subtract the 7 cents.
►
What is 60 cents minus 7 cents?
►
Let's record what 70 cents minus 27 cents equals.
►
Could we subtract the 20 cents in one jump?
Record 70c - 27c =
►
Let's start with the 70 cents.
20c + 7c
►
How could we partition the 27 cents to subtract it from
70 cents?
►
Could we partition the 27 cents using place value?
►
Could we partition 27 cents into 20 cents and 5 cents?
- 10c
50c
- 10c
60c
70c
Record, for example,
- 7c
43c
- 10c
50c
- 10c
60c
70c
Record 70c - 27c = 43c
- 7c
43c
50c
- 20c
70c
►
Reviews rounding
amounts to the
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Could we subtract the 20 cents first?
►
What is 70 cents minus 20 cents?
►
Now we need to subtract the 7 cents.
►
What is 60 cents minus 7 cents?
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5
nearest 5 cents
Money and
Financial
Mathematics 5, 7
Record 70c - 27c = 43c
►
Let's record what 70 cents minus 27 cents equals
►
Can we pay 43 cents in coins?
►
We investigated coins.
►
And we found that the value of the lowest coin is 5 cents.
►
If the value of the lowest coin is 5 cents, can we pay 43
cents?
►
What are the multiples of 5 cents closest to 43 cents?
►
Are the multiples of 5 cents closest to 43 cents, 40 cents
and 45 cents?
►
Will we pay 40 cents or 45 cents?
►
Is 43 cents closer to 45 cents?
►
Will we pay 45 cents?
►
Will we round the 43 cents to 45 cents?
Allow children time now to engage in guided and independent
investigation (at the end of this teaching plan) of adding and
subtracting cents less than $1.
Introduces adding
cents over $1
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6
using place value
on a number line
Display a number sentence, for example, 84c + 57c =
Record, for example,
84c + 57c =
►
Today we’re going to investigate adding cents that total
over one dollar.
►
Let's record our number sentence 85 cents plus 55 cents
equals
►
Let's record a number line.
►
Let's start with the 84 cents.
►
How could we partition the 57 cents to add it to 84
cents?
►
Could we partition the 57 cents using place value?
►
Could we partition 57 cents into 50 cents and 7 cents?
►
How many 10 cents in a dollar?
►
Is a dollar 100 cents?
►
How many 10 cents in 100 cents?
►
Are there 10 ten cents in 1 dollar?
►
How many 10 cents do we need to add to have 10 ten
cents?
►
We have 84 cents.
►
How many 10 cents do we have?
►
Do we have 8 ten cents?
►
How many 10 cents do we need to add to make 10 ten
cents?
►
If we add 2 ten cents will we have 10 ten cents plus the 4
cents?
►
If we add 2 ten cents, will we have 1 dollar plus the 4
cents?
50c + 7c
Record, for example,
+ 20c
84c
$1.04
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7
Record, for example,
►
How did we partition the 50 cents?
84c + 57c =
►
We added 20 cents.
50c + 7c
►
Did we partition the 50 cents into 20 cents and 30 cents?
►
Let's add the 30 cents.
►
What is 1 dollar and four cents plus 30 cents?
►
Is it 1 dollar and 34 cents?
►
Now we need to add the 7 cents.
►
How much will we add to get to 1 dollar 40?
►
Will we add 6 cents?
84c + 57c =
►
How did we partition the 7 cents?
50c + 7c
►
Did we partition the 7 cents into 6 cent and 1 cent?
►
Can we use place value to add the 1 cent?
►
What does 1 dollar 40 plus 1 cent equal?
►
Does 1 dollar 40 plus 1 cent equal 1 dollar 41?
20c + 30c
Record, for example,
+ 20c
84c
+ 30c
$1.04
$1.34
Record, for example,
+ 20c
84c
+ 30c
$1.04
+ 6c
$1.34 $1.40
Record, for example,
20c + 30c 6c + 1c
Record, for example,
+ 20c
84c
+ 30c
$1.04
+ 6c + 1c
$1.34 $1.40 $1.41
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8
Reviews rounding
amounts to the
nearest 5 cents
Money and
Financial
Mathematics 5, 7
Introduces
subtracting cents
over $1 using
place value on a
number line
Record, for example, 84c + 57c = $1.41
Display a number sentence, for example, $1.48 – 55c =
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►
Let's record what 84 cents plus 57 cents equals.
►
Can we pay 1 dollar 41 in coins?
►
We investigated coins.
►
And we found that the value of the lowest coin is 5 cents.
►
If the value of the lowest coin is 5 cents, can we pay 1
dollar 41?
►
What are the multiples of 5 cents closest to 1 dollar 41?
►
Are the multiples of 5 cents closest to 1 dollar 41, 1
dollar 40 and 1 dollar 45?
►
Will we pay 1 dollar 40 or 1 dollar 45?
►
Is 1 dollar 41 closer to 1 dollar 40?
►
Will we pay 1 dollar 40?
►
Will we round the 1 dollar 41 to 1 dollar 40?
►
Today we’re going to investigate subtracting cents that
total over one dollar.
►
Let's record our number sentence $1.48 minus 55c
equals.
►
Let's start with the 1 dollar 48.
►
How could we partition the 55 cents to subtract it from 1
dollar 48?
►
Could we partition the 55 cents using place value?
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Record, for example,
►
Could we partition 55 cents into 50 cents and 5 cents?
$1.48 - 55c =
►
How could we subtract the ten cents using place value?
50c + 5c
►
How many ten cents do we have?
►
How can we use place value to work out how many ten
cents we need to subtract?
►
How many ten cents will we need to subtract to get back
to a dollar?
►
How much will we have if we subtract 40 cents from
$1.48?
►
Will we have the 1 dollar and the 8 cents?
►
How did we use place value to subtract 40 cents from
$1.48?
►
How did we partition the 50 cents?
►
We subtracted 40 cents.
►
Did we partition the 50 cents into 40 cents and 10 cents?
►
Let's subtract the 10 cents.
►
What is 1 dollar and five cents minus 10 cents?
►
Is it 98 cents?
►
Now we need to subtract the 5 cents.
►
What is 98 cents minus 5c?
►
Is 98 cents minus 5 cents equal 93 cents?
Record, for example,
- 40c
$1.08
$1.48
Record, for example,
$1.48 - 55c =
50c + 5c
40c + 10c
Record, for example,
- 10c
98c
- 40c
$1.08
$1.48
Record, for example,
- 5c
93c
- 10c
98c
$1.08
- 40c
$1.48
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10
Reviews rounding
amounts to the
nearest 5 cents
Money and
Financial
Mathematics 5, 7
Record, for example, $1.48 - 55c = 93c
►
Let's record what $1.48 minus 55 cents equals.
►
Can we pay 93c in coins?
►
We investigated coins.
►
And we found that the value of the lowest coin is 5 cents.
►
If the value of the lowest coin is 5 cents, can we pay 93c?
►
What are the multiples of 5 cents closest to 93c?
►
Are the multiples of 5 cents closest to 93c, 90c and 95c?
►
Will we pay 90c or 95c?
►
Is 93c closer to 95c?
►
Will we pay 95c?
►
Will we round the 93c to 95c?
Allow children time now to engage in guided and independent
investigation (at the end of this teaching plan) of adding and
subtracting cents over $1.
Introduces adding
dollars and cents
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11
Display a number sentence, for example, $2.87 + $3.54 =
Record, for example,
$2.87 + $3.54 =
$3 + 50c + 4c
►
Today we’re going to investigate adding dollars and
cents.
►
Let's record our number sentence $2.87 + $3.54 =
►
Let's record a number line.
►
Let's start with the $2.87.
►
How could we partition the $3.54 to add it to $2.87?
►
Could we partition the $3.54 using place value?
►
Could we partition $3.54 into $3 and 50 cents and 4
cents?
►
Let's add the $3 first.
►
What is $2.87 plus $3?
►
Is it $5.87?
►
Let's add the ten cents now.
►
How many 10 cents in a dollar?
►
Is a dollar 100 cents?
►
How many 10 cents in 100 cents?
►
Are there 10 ten cents in 110 cents?
►
Does that mean there are 10 ten cents in 1 dollar?
Record, for example,
+ $3
$2.87c
$5.87
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12
Record, for example,
►
►
+ $3
+ 20c
$2.87c
$2.87 + $3.54 =
$3 + 50c + 4c
20c + 30c
+ $3
+ 30c
+ 20c
$2.87c
$5.87 $6.07
$2.87c
How many 10 cents do we need to add to make 10 ten
cents?
►
If we add 2 ten cents, will we have another dollar?
►
If we add 2 ten cents will we have 6 dollars plus the 7
cents?
►
How did we partition the 50 cents?
►
We added 20 cents.
►
Did we partition the 50 cents into 20 cents and 30 cents?
►
Let's add the 30 cents.
►
What is 6 dollars and five cents plus 30 cents?
►
Is it 6 dollars and 35 cents?
►
Now we need to add the 4 cents.
►
How much do we need to add to make 6 dollars 40?
►
Do we need to add 3 cents?
►
How did we partition the 4 cents?
►
Did we partition 7 cents into 3 cents and 1 cent?
$6.37
Record, for example,
+ $3
+ 20c
Do we have 8 ten cents?
►
$5.87 $6.07
Record, for example,
How many 10 cents do we have?
+ 30c + 3c
$5.87 $6.07
$6.37 $6.40
Record, for example,
$2.87 + $3.54 =
$3 + 50c + 4c
20c+30c 3c + 1c
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Record, for example,
+ $3
$2.87c
Reviews rounding
amounts to the
nearest 5 cents
Money and
Financial
Mathematics 5, 7
+ 20c
$5.87 $6.07
+ 30c
$6.37
►
How could we use place value to add the 1 cent?
►
Does 6 dollars 40 plus 1 cent equal 6 dollars 41 cents?
►
Let's record what $2.87 cents plus $3.54 cents equals.
►
Can we pay 6 dollars 41 in coins?
►
We investigated coins.
►
And we found that the value of the lowest coin is 5 cents.
►
If the value of the lowest coin is 5 cents, can we pay 6
dollars 41?
►
What are the multiples of 5 cents closest to 6 dollars 41?
►
Are the multiples of 5 cents closest to 6 dollars 41, 6
dollars 40 and 6 dollars 45?
►
Will we pay 6 dollars 40 or 6 dollars 45?
►
Is 6 dollars 41 closer to 6 dollars 40?
►
Will we pay 6 dollars 40?
►
Will we round the 6 dollars 41 to 6 dollars 40?
+ 3c + 1c
$6.40 $6.41
Record, for example, $2.87 + $3.54 = $6.41
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14
Display a number sentence, for example, $6.48 - $2.55 =
Record, for example,
$6.48 - $2.55 =
►
Let’s investigate subtracting dollars and cents.
►
Let's record our number sentence 6 dollars 45 minus 2
dollars 55 equals.
►
Let's start with the 6 dollars 48.
►
How could we partition the 2 dollars 55 to subtract it
from 6 dollars 48?
►
Could we partition the 2 dollars 55 using place value?
►
Could we partition 2 dollars 55 into 2 dollars and 50
cents and 5 cents?
►
Let's subtract the $2 first.
►
What is $6.48 minus $2?
►
Is it $4.48?
►
How could we subtract the ten cents using place value?
►
How many ten cents do we have?
►
How can we use place value to work out how many ten
cents we need to subtract?
►
How many ten cents will we need to subtract to get back
to 6 dollars?
►
How much will we have if we subtract 40 cents from
$4.48?
►
Will we have the 4 dollars and the 8 cents?
►
How did we use place value to subtract 40 cents from
$4.48?
2 + 50c + 5c
Record, for example,
- $2
$4.48
Record, for example,
- $2
- 40c
$4.08
$6.48
$4.48
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$6.48
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15
Record, for example,
►
How did we partition the 50 cents?
►
We subtracted 40 cents.
2 + 50c + 5c
►
Did we partition the 50 cents into 40 cents and 10 cents?
40c + 10c
►
Let's subtract the 10 cents.
►
What is 4 dollars and five cents minus 10 cents?
►
Is it $3.98?
►
Now we need to subtract the 5 cents.
►
What is $3.98 minus 5c?
►
Let's record what $6.48 minus $2.55 equals
►
Can we pay 3 dollars 93 in coins?
►
We investigated coins.
►
And we found that the value of the lowest coin is 5 cents.
►
If the value of the lowest coin is 5 cents, can we pay 3
dollars 93?
►
What are the multiples of 5 cents closest to 3 dollars 93?
►
Are the multiples of 5 cents closest to 3 dollars 93, 3
dollars 90 and 3 dollars 95?
►
Will we pay 3 dollars 90 or 3 dollars 95?
$6.48 - $2.55 =
- 10c
$3.98
- $2
- 40c
$4.08
$4.48
$6.48
Record, for example,
- 5c
- 10c
$3.93 $3.98 $4.05
Reviews rounding
amounts to the
nearest 5 cents
Money and
Financial
Mathematics 5, 7
- 40c
- $2
$4.45
Record, for example, $6.48 - $2.55 = $3.93
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$6.45
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►
Is 3 dollars 93 closer to 3 dollars 95?
►
Will we pay 3 dollars 95?
►
Will we round the 3 dollars 93 to 3 dollars 95?
Allow children time now to engage in guided and independent
investigation (at the end of this teaching plan) of adding and
subtracting dollars and cents.
Introduces
calculating change
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Display, for example,
►
Today we’re going to investigate how we can work out
the change we will receive when we don’t pay with exact
amount.
►
In Year 1 and 2, when we gave change - we counted
coins
►
But can we give change without counting coins?
►
We had $1 and we spent 54c.
►
Could we subtract 54c from $1?
$1 - 54c =
►
Could we partition 54 cents into 50 cents and 4 cents?
50c + 4c
►
Could we subtract the 50 cents first, then the 4 cents?
►
$1 minus 50 cents equals 50 cents.
►
50 cents minus 4 cents is 46 cents
►
So will our change be 46 cents?
►
Could we count up from the amount that we spent to
the amount that we started with?
►
Could we count up from 54 cents to $1?
►
How much will we add to get to 60c?
►
Will we add 6 cents?
►
How much more will we add to get to $1?
►
Will we add another 50 cents?
►
How much did we add onto 54 cents to make $1?
I have $1.00 and spend 55c. How much change will I get?
Record, for example,
- 4c
46c
- 50c
50c
$1
Record, for example, $1 - 54c = 46c
Record, for example, 54c + ____ = $1
+ 6c
54c
60c
+ 40c
$1
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Email: [email protected]
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►
So how much change do we get?
►
Do we get the amount that we added to 54 cents to
make $1?
►
Do we get 6 cents plus 40 cents?
►
Do we get 46 cents?
►
So we have 2 ways to work out change.
►
Subtracting the amount we spent.
►
Or counting up from the amount we spent.
►
Which way makes more sense to you?
►
Can we get 46 cents change in coins?
►
We investigated coins.
►
And we found that the value of the lowest coin is 5 cents.
►
If the value of the lowest coin is 5 cents, can we get 46
cents change?
►
What are the multiples of 5 cents closest to 46 cents?
►
Are the multiples of 5 cents closest to 45 cents, 50 cents
and 46 cents?
►
Will we get 45 cents or 50 cents change?
►
Is 46 cents closer to 45 cents?
►
Will we get 45 cents change?
►
Will we round the 46 cents to 45 cents?
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19
Display, for example,
►
Let's try it again with larger numbers
I have $10.00 and spend 4.52. How much change will I get?
►
We had $10 and we spent $4.52.
Record, for example,
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Let's start with $10 and subtract $4.
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$10 minus $4 equals $6.
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What does $6 minus 50 cents equal?
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Does $6 minus 50 cents equals $5.50?
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What does $5.50 minus 2 cents equal?
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Does $5.50 minus 2 cents equal $5.48?
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So will our change be $5.48?
$10 - $4.52 =
$4 + 50c + 2c
- $4
$6
$10
Record, for example,
- 50c
$5.50
- $4
$6
$10
Record, for example,
- 2c
- 50c
$5.48c $5.50
- $4
$6
$10
Record, for example, $10 - $4.52 = $5.48
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Record, for example, $4.52 + ____ = $10
►
Let's start with the amount that we spent and count up
to the amount that we had.
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We spent $4.52.
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How much will we add to get to $4.60?
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Will we add 8 cents?
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How much more will we add to get to $5?
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Will we add 40 cents?
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How much will we add to get to $10?
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Will we add 5 dollars?
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How much did we add onto $4.52 cents to make $10?
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Did we add 5 dollars 48?
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So how much change do we get?
►
Do we get the amount that we added to $4.48 cents to
make $10?
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Do we get 8 cents plus 40 cents plus $5?
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Do we get 5 dollars 48?
+ 8c
$4.52 $4.60
Record, for example, $4.58 + ____ = $10
+ 8c
+ 40c
$4.52 $4.60
$5
Record, for example, $4.58 + ____ = $10
+ 8c
+ 40c
$4.52 $4.60
+ $5
$5
$10
Record, for example, $4.52 + $5.48 = $10
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So we have 2 ways to work out change.
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Subtracting the amount we spent.
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Or counting up from the amount we spent.
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Which way makes more sense to you?
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Can we get 5 dollars 48 change in coins?
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We investigated coins.
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And we found that the value of the lowest coin is 5 cents.
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If the value of the lowest coin is 5 cents, can we get 5
dollars 48 change?
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What are the multiples of 5 cents closest to 5 dollars 48?
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Are the multiples of 5 cents closest to 5 dollars 48, 5
dollars 45 and 5 dollars 50?
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Will we get 5 dollars 45 or 5 dollars 50 change?
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Is 5 dollars 48 closer to 5 dollars 50?
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Will we get 5 dollars 50 change?
►
Will we round the 5 dollars 48 to 5 dollars 50?
Allow children time now to engage in guided and independent
investigation (at the end of this teaching plan) of calculating change.
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Adding four-digit
numbers as
money
Subtracting fourdigit numbers as
money
Website: http://www.alearningplace.com.au
Email: [email protected]
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