Transcript Investigation - A Learning Place

$1 = 100 cents
𝟏
1 cent =
dollar
1 cent =
𝟏𝟎𝟎
𝟏
𝟏𝟎𝟎
2 cents =
2 cents =
dollar = $0.01
𝟐
𝟏𝟎𝟎
𝟐
𝟏𝟎𝟎
10 cents =
10 cents =
𝟏
𝟏𝟎
𝟏
𝟏𝟎
dollar
dollar = $0.02
dollar
0.1 = 0.10
dollar = $0.10
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
$4.25
$
$
2
hundredths
5
4
.
4
tenths hundredths
.
2
5
ones tenths hundredths
$
4
.
2
decimal point
5
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Select an amount of money involving cents.
2. Record the cents as fractions, and as decimal fractions of a dollar.
𝟓
𝟐
3. For example, For example, $0.52 =
dollar +
dollar and
𝟏𝟎
𝟏𝟎𝟎
$0.52 = 0.52 dollar.
4. Select an amount of money involving dollars and cents.
5. Record the dollars as whole numbers, and the cents as
fractions, and as decimal fractions of a dollar.
6.
Problem Solving
Tara has 6.25 dollars.
How much money is this in
dollars and cents? How do
you know?
Problem Solving
25
Tara has 6
dollars.
𝟓
𝟐
100
For example, $3.52 = 3 ones dollars +
dollar +
dollar
𝟏𝟎
𝟏𝟎𝟎
How much money is this in
and $3.52 = 3.52 dollars.
dollars and cents? How do you
Reflection: How is our money system based on place value? know?
Problem Solving
The coin in my pocket has a
lower value than 0.2 of a dollar.
What coin might I have?
Problem Solving
The coin in my pocket has a
1
lower value than of a dollar.
2
What coin might I have?
Problem Solving
1
I have
of a dollar.
10
How much money do I
have?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Investigate another country’s currency, identifying
whether it is a decimal system like Australia’s
Reflection: What are some similarities and differences
between the two currencies?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Investigate the currency of the United States of America,
identifying that 25 cents is called a quarter.
Reflection: Is the currency of the United States of America
decimal?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Sit with a friend.
2. Take turns to record an amount of money as a number of
dollars and a fraction and as a decimal fraction of a dollar.
3. Your friend records the amount of money in dollars and
cents.
Reflection: What is the relationship between cents and
hundredths?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Have one of each coin.
2. Record each coin as a decimal fraction and as a fraction of a
dollar.
3. For example, 50 cents may be recorded as 0.5 dollars or
dollar or
𝟓𝟎
𝟏𝟎𝟎
dollar or
𝟏
𝟐
𝟓
𝟏𝟎
dollar.
Reflection: How many different ways can we record 50 cents?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Have one of each coin.
2. Add two or more coins together and record their sum as a
decimal and as a fraction of dollar, or as a number of dollars
and a decimal or a fraction of a dollar.
3. For example, 50 cents + 20 cents may be recorded as 0.7 dollars
𝟕
𝟕𝟎
or dollar or
dollar.
𝟏𝟎
𝟏𝟎𝟎
Reflection: How can we use place value to explain the relationship
between dollars and cents?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Research the history of decimal currency in Australia.
2. Research the non-decimal currency that was used in Australia
prior to decimal currency in 1966.
Reflection: Why do you think Australia changed to decimal
currency?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
1. Research the history of money.
Reflection: How did people invent money?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11
Investigation:
Create your own currency, deciding on a suitable base.
Reflection: How did you create your money system?
Fractions and Decimals 16
Place Value 22
Money and Financial Maths 11