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Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Activity 1: What is tax and why do we need it?
• View Online
• View Print
MALS6-1 explores mathematical concepts, reasoning and language to solve problems
MALS6-2 engages with mathematical symbols, diagrams, graphs and tables to represent information accurately
MALS6-5 demonstrates understanding of money
MALS6-13 engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
Number and Modelling
Subtopic:MLS-N1 Review of Number Properties N1.1: Basic number skills
● Recognise language related to numberN1.2: Number problems
● Recognise percentages
Subtopic: MLS–N2 Mathematical Modelling
N2.1: Patterns
● Describe patterns, develop a rule
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentages in everyday life
Page 1
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Subtopic: MLS-F2 Earning Money
F2.3: Tax and other deductions
● recognise the existence and purpose of income tax
(Year 11-12 Task)
Activity 1, Task 2: Government policies to reduce inequality
• View Print
MS11-2, represents information in symbolic, graphical and tabular form
MS11-7, develops and carries out simple statistical processes to answer questions posed
MS11-9, uses appropriate technology to investigate, organise and interpret information in a range of contexts
Statistical Analysis Subtopic: MS-S1 Data Analysis
MS1.1: Classifying and representing data (grouped and ungrouped)
● interpret and compare data by considering it in tabularand/or graphical representations
Activity 2: Who, what, how and why
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• View Print
MALS6-1 explores mathematical concepts, reasoning and language to solve problems
MALS6-7 demonstrates understanding of number and patterns in a range of contexts
MALS6-8 solves problems using number and patterns in real-life situations
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
Page 2
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
MALS6-9 uses data in a range of contexts
MALS6-13 engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
Number and Modelling
Subtopic: MLS-N1 Review of Number Properties
N1.3: Number problems
● recognise decimals and percentages in everyday contexts
Subtopic: MLS-N2 Mathematical Modelling
N2.2: Modelling
• develop rules based on the models created
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentages in everyday life
F1.2: Earning and Managing Money
● use technology to perform financial calculations
Activity 3: Interactive – Shaping the system
• View Online
• View Print
MALS6-1 explores mathematical concepts, reasoning and language to solve problems
MALS6-2 engages with mathematical symbols, diagrams, graphs and tables to represent information accurately
MS11-2, represents information in symbolic, graphical and tabular form
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Page 3
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
MALS6-5 demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
Number and Modelling
Subtopic: MLS-N1 Review of Number Properties
N1.3: Number problems
● recognise decimals and percentages in everyday contexts
Subtopic: MLS-N2 Mathematical Modelling
N2.2: Modelling
• model real-life problems using concrete materials and/or diagrams• develop rules based on the models created
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentages in everyday life
Algebra
Subtopic: MS-A2 Linear Relationships
A2: Linear Relationships
● Model, analyse and solve problems involving linearrelationships
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.1: Interest and Depreciation ● calculate simple interest for different rates and periods
(ACMEM064)– apply percentage increase or decrease in various
contexts, e.g. calculating the goods and services tax(GST) payable on a range of goods and services,and
– calculating profit or loss in absolute and percentageterms
● use technology or otherwise to compare simple interestgraphs for different rates and periods
F1.2: Earning and Managing Money
● use technology to perform financial calculations
Page 4
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Activity 4: The Budget - Taxes and spending
• View Online
• View Print
MALS6-1 explores mathematical concepts, reasoning and language to solve problems
MALS6-2 engages with mathematical symbols, diagrams, graphs and tables to represent information accurately
MALS6-14 communicates mathematical ideas and relationships using a variety of strategies
Number and Modelling
Subtopic: MLS-N2 Mathematical Modelling
N2.2: Modelling
● model real life problems using diagrams
Financial Mathematics
Sub-topic MLS-F3 Spending Money
F3.1: Purchasing goods and services Students: • distinguish between goods and services• recognise that in our society most goods and services have a price attached• identify costs of goods and services using a variety of techniques• order costs using terminology
Page 5
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
(Year 11-12 task)
Activity 4, Task 2: Budgetary policy
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● recognise, read and write the % symbol as ‘per cent’● interpret the use of percentages in everyday life● calculate the percentage of an amount using whole number percentages● calculate percentage decreases and increases using a calculator in the
context of money problemsSubtopic: MLS-F2 Earning Money
F2.1: Types of income and work
● identify and describe a range of types of work-related income, for example:– wages– salary– commission– piecework
● identify and describe forms of income other than work-related income, forexample:– pocket money– social security payments
MS11-2, represents information in symbolic, graphical and tabular form
MS11-7, develops and carries out simple statistical processes to answer questions posed
MS11-9, uses appropriate technology to investigate, organise and interpret information in a range of contexts
Statistical Analysis Subtopic: MS-S1 Data Analysis
MS1.1: Classifying and representing data (grouped and ungrouped)
● interpret and compare data by considering it in tabularand/or graphical representations
Page 6
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
– interest on investments– profits from operating a business
F2.3: Tax and other deductions
• recognise the existence and purpose of income tax
Interactive
You make the decision
• View Online
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-2, engages with mathematical symbols, diagrams, graphs and tables to represent information accurately
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-7, demonstrates understanding of number and patterns in a range of contexts
MALS6-8, solves problems using number and patterns in real-life situations
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
MALS6-14, communicates mathematical ideas and relationships using a variety of strategies
Financial Mathematics
Sub-topic MLS-F3 Spending Money
F3.1: Purchasing goods and services
Page 7
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Students: • distinguish between goods and services• recognise that in our society most goods and services have a price attached• identify the cost of goods and services using a variety of techniques• order costs using terminology• determine the best buy from two or more options considering a range of
aspects• justify a choice between two of more items based on cost or other reasons
F3.2: Budgeting
● understand the need to balance income and expenditure● describe what is meant by a balanced budget● calculate total income and expenditure and create a balanced budget for a
real situation● use tables or digital technologies to balance income and expenditure
● describe the possible consequences of having insufficient income to meetexpenses
Activity 5: History of tax in Australia
• View Online
• View Print
__ __
Page 8
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Activity 6: Role of the ATO in Australia
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• View Print
MALS6-5 demonstrates understanding of money
Financial Mathematics
Subtopic: MLS-F2 Earning Money
F2.3: Tax and other deductions
● recognise the existence and purpose of income tax● recognise that workers need to submit a tax return annually
Page 9
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
Activity 1: Income and income tax
• View Online
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● recognise, read andwrite the % symbol as‘per cent’
● interpret the use ofpercentages ineveryday life
Page 10
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
Subtopic:
MLS-F2 Earning Money
F2.1: Types of income and work
● identify and describea range of types ofwork-related income,for example:– wages– salary– commission– piecework
● identify and describeforms of income otherthan work-relatedincome, for example:– pocket money– social security
payments– interest on
investments– profits from
operating abusiness
Page 11
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
F2.3: Tax and other deductions
• recognise theexistence andpurpose ofincome tax
(Year 11-12 Task)
Activity 1, Task 3: Franked dividends: Are they worth it?
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
MS11-2, represents information in symbolic, graphic and tabular form
MS11-5, models relevant financial situations using appropriate tools
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
MS2-12-5, makes informed decisions about financial situations, including annuities and loan repayments
Financial Mathematics
Subtopic: MS-F4 Investments and Loans
F4.1: Investments
• work with shares andcalculate theappreciated value ofitems, for exampleantiques– calculate the
dividend paid on a
Page 12
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
● recognise, read andwrite the % symbol as‘per cent’
● interpret the use ofpercentages ineveryday life
● calculate thepercentage of anamount using wholenumber percentages
● calculate percentagedecreases andincreases using acalculator in thecontext of moneyproblems
Subtopic: MLS-F2 Earning Money
F2.1: Types of income and work
● identify and describea range of types ofwork-related income,for example:– wages– salary
F1.2: Earning and managing money
● use technology toperform financialcomputations, forexample calculatingpercentage change,calculating taxpayable and preparinga wage-sheet
portfolio of shares, and the dividend yield (excluding franked dividends)
Page 13
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
– commission– piecework
● identify and describeforms of income otherthan work-relatedincome, for example:
– pocket money– social security
payments– interest on
investments– profits from
operating abusiness
F2.3: Tax and other deductions
recognise the existence and purpose of income tax
Activity 2: Working and paying tax
MALS6-1, explores mathematical concepts, reasoning and language
MS11-2, represents information in symbolic, graphic and tabular form
Page 14
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
Activity 2: Working and paying tax
• View Online
• View Print
to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
MALS6-14, communicates mathematical ideas and relationships using a variety of strategies
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-9, uses appropriate technology to investigate, organise and interpret information in a range of contexts
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
Page 15
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
F1.2: Percentages and money
● interpret the use ofpercentages ineveryday life
● calculate thepercentage of anamount using wholenumber percentages
F2.1: Types of income and work
● read and interprettables related toincome, e.g. wagetables, tables ofpayments fromCentrelink
● read and interpret payadvice notifications
F2.2: Income calculations
F1.2: Earning and managing money
● calculate monthly,fortnightly, weekly,daily or hourly payrates from a givensalary, wagesinvolving hourly ratesand penalty rates,including situationsinvolving overtime andother specialallowances, andearnings based oncommission (includingcommission based ona sliding scale),piecework or royalties
● calculate income tax● use technology to
perform financialcomputations
Page 16
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
● calculate earningsbased on wages orsalaries, for example:
– calculate incomegiven an hourlyrate and a numberof hours workedor calculateweekly incomegiven an annualsalary
F2.3: Tax and other deductions
● recognise theexistence andpurpose of income tax
● understand that thePay As You Go(PAYG) system oftaxation is applied tomost wage and salaryearners
● interpret and calculatetax and otherdeductions
Page 17
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
● recognise thatworkers need tosubmit a tax returnannually
Activity 3: Completing your tax return
• View Online
• View Print
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
Financial Mathematics
Subtopic: MLS-F2 Earning Money
F2.3: Tax and other deductions
● recognise theexistence andpurpose of income tax
● understand that thePay As You Go(PAYG) system oftaxation is applied to
MS11-5, models relevant financial situations using appropriate tools
MS11-9, uses appropriate technology to investigate, organise and interpret information in a range of contexts
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.2: Earning and managing money
— — —
Page 18
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
most wage and salary earners
● recognise thatworkers need tosubmit a tax returnannually
● identify typicalallowable taxdeductions fordifferent workers andunderstand thedocumentationneeded if a workerwants to claim thesedeductions in their taxreturn
● calculate income tax● identify allowable tax
deductions
Activity 4: Calculating tax due
• View Online
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MS11-2, represents information in symbolic, graphic and tabular form
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about
Page 19
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
MALS6-6, explores money management and financial decision-making
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use ofpercentages ineveryday life
Subtopic: MLS-F2 Earning Money
F2.3: Tax and other deductions
everyday situations based on simple mathematical models
MS11-9, uses appropriate technology to investigate, organise and interpret information in a range of contexts
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.2: Earning and managing money
● calculate income tax– identify allowable
tax deductions– calculate taxable
income after
Page 20
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
● recognise theexistence andpurpose of income tax
● understand that thePay As You Go(PAYG) system oftaxation is applied tomost wage and salaryearners
● interpret and calculatetax and otherdeductions
● recognise thatworkers need tosubmit a tax returnannually
● identify typicalallowable taxdeductions fordifferent workers andunderstand thedocumentationneeded if a workerwants to claim thesedeductions in their taxreturn
allowable tax deductions are taken from gross pay
– calculate theMedicare levy(basic levy only)
– calculate net payfollowingdeductions fromincome
– calculate theamount of Pay AsYou Go (PAYG)tax payable perfortnight or weekusing current taxscales, and usethis to determine ifmore tax ispayable or if arefund is owingafter completing atax return
• use technology toperform financialcomputations, for
Page 21
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
example calculating percentage change, calculating tax payable and preparing a wage-sheet
Activity 5: What other taxes do I have to pay?
• View Online
• View Print
— — — — —
(Year 11-12 Task)
Activity 5, Task 2: What type of tax is this?
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
Financial Mathematics
MS11-2, represents information in symbolic, graphic and tabular form
MS11-5, models relevant financial situations using appropriate tools
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Page 22
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● recognise, read andwrite the % symbol as‘per cent’
● interpret the use ofpercentages ineveryday life
● calculate thepercentage of anamount using wholenumber percentages
● calculate percentagedecreases andincreases using acalculator in thecontext of moneyproblems
Subtopic:
MLS-F2 Earning Money
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.2: Earning and managing money
● use technology toperform financialcomputations, forexample calculatingpercentage change,calculating taxpayable and preparinga wage-sheet
Page 23
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
F2.1: Types of income and work
● identify and describea range of types ofwork-related income,for example:– wages– salary– commission– piecework
● identify and describeforms of income otherthan work-relatedincome, for example:– pocket money– social security
payments– interest on
investments– profits from
operating abusiness
Page 24
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
F2.3: Tax and other deductions
● recognise theexistence andpurpose of income tax
Activity 6: Fixing a tax problem
• View Online
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
MS11-5, models relevant financial situations using appropriate tools
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
F1.1: Interest and depreciation
● calculate simpleinterest for differentrates and periods(ACMEM064)
Page 25
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Your Tax Mathematics Life Skills Stage 6
Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Mathematics Advanced
Financial Mathematics
Subtopic: MLS-F2 Earning Money
F1.2: Percentages and money
● interpret the use ofpercentages ineveryday life
● calculate thepercentage of anamount using wholenumber percentages
Page 26
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Activity 1: What is a business?
• View Online
• View Print
— — — —
Activity 2: Business structures
• View Online
• View Print
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentages in everydaylife
● recognise that there are alternate methodsof using a calculator to calculatepercentages of amounts
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
F1.2: Earning and managing money
• calculate income tax• use technology to perform
financial computations
Page 27
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Subtopic: MLS-F2 Earning Money
F2.3: Tax and other deductions
● recognise the existence and purpose ofincome tax
● understand that the Pay As You Go (PAYG)system of taxation is applied to most wageand salary earners
● interpret and calculate tax and otherdeductions,
Activity 3: Running a business: Tax obligations
• View Online
• View Print
— — — —
Activity 4: Explaining business taxes
• View Online
• View Print
MALS6-1 explores mathematical concepts, reasoning and language to solve problems
MALS6-2 engages with mathematical symbols, diagrams, graphs and tables to represent information accurately
MALS6-7 demonstrates understanding of
MS11-1, uses algebraic and graphical techniques to compare alternative solutions to contextual problems
MS11-2, represents information in symbolic, graphical and
Page 28
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
number and patterns in a range of contexts
MALS6-9 uses data in a range of contexts
MALS6-13 engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
MALS6-14 communicates mathematical ideas and relationships using a variety of strategies
Number and Modelling
Subtopic: MLS-N2 Mathematical Modelling
N2.2: Modelling
● describe trends evident in graphs of data● use digital technology to create graphs from
tables of data or tables from graphs
Statistics and probability
Subtopic: MLS-S1 Statistics
S1.1: Gather data
● recognise information in a variety of tablesand graphs
● recognise features of tables and graphs● read a range of graphs and tables to gather
information
tabular form
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-9, uses appropriate technology to investigate, organise and interpret information in a range of contexts
Statistical Analysis
Subtopic: MS-S1 Data Analysis
S1.1: Classifying and representing data (grouped and ungrouped)
• review how to organise anddisplay data intoappropriate tabular and/orgraphical representations
• interpret and compare databy considering it in tabular
Page 29
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
● investigate datasets related to a range ofcross-curricular focus areas
S1.2: Organise and display data
● choose the most appropriate display for adataset
● construct a line, picture or column graphS1.3: Analyse and interpret data
● interpret graphs, tables and datasets from avariety of common sources
● interpret information about a dataset anduse it to draw conclusions
● recognise and describe trends in data● use information to extrapolate or make
predictions from data
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentages in everydaylife
● recognise that there are alternate methodsof using a calculator to calculatepercentages of amounts
and/or graphical representations
Page 30
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
● calculate percentage decreases andincreases using a calculator in the contextof money problems
Activity 5: The goods and services tax (GST)
• View Online
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentages in everydaylife
● recognise that there are alternate methodsof using a calculator to calculatepercentages of amounts
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.1: Interest and depreciation
● calculate simple interest fordifferent rates and periods(ACMEM064)
F1.2: Earning and managing money
● use technology to performfinancial computations
Page 31
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
(Year 11-12 Task)
Activity 5, Task 3: Breaking even and GST
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-4, explores contexts of everyday measurement
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-14, communicates mathematical ideas and relationships using a variety of strategies
Measurement
Subtopic: MLS-M2 Measuring Two-Dimensional and Three-Dimensional Shapes
M2.3: Area and surface area
● use the rule 'area = length x width' tocalculate areas of squares and rectanglesand apply this to real situations
● solve problems involving area and surfacearea
M2.4: Volume
MS11-4, performs calculations in relation to two-dimensional and three-dimensional figures
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Measurement
Subtopic: MS-M1 Applications of Measurement
M1.2: Perimeter, area and volume
• solve problems involvingperimeters, area, surfacearea, volumes and capacityin a variety of context
MS1-12-10, uses mathematical argument and reasoning to evaluate conclusions, communicating a position clearly to others
Algebra
Subtopic: MS-A3 Types of Relationships
A3.1: Simultaneous linear equations
● solve practicalproblems that involvefinding the point ofintersection of twostraight-line graphs, forexample determine andinterpret the break-even point of a simplebusiness problemwhere cost andrevenue arerepresented by linearequations
MS2-12-10, uses mathematical argument and reasoning to evaluate conclusions, communicating a position clearly to others and justifying a response
Algebra
Subtopic: MS-A4 Types of Relationships
A4.1: Simultaneous linear equations
● solve practicalproblems that involvefinding the point ofintersection of twostraight-line graphs, forexample determine andinterpret the break-even point of a simplebusiness problemwhere cost andrevenue arerepresented by linearequations
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Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
● use the rule 'volume = length x width xheight' for a cube, square prism orrectangular prism and apply this to realsituations
● solve problems involving volumeFinancial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentages in everydaylife
● recognise that there are alternate methodsof using a calculator to calculatepercentages of amounts
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.1: Interest and depreciation
● calculate simple interest fordifferent rates and periods(ACMEM064)
F1.2: Earning and managing money
● use technology to performfinancial computations
Activity 6: How is business tax collected?
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— — — —
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Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
Activity 1: What is superannuation?
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• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-2, engages with mathematical symbols, diagrams, graphs and tables to represent information accurately
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-9, uses data in a range of contexts MALS6-14, communicates mathematical ideas and relationships using a variety of strategies
Financial Mathematics
Subtopic: MLS-F2 Earning Money
F2.1: Types of income and work
• recognise the link between aperson having sufficient income
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Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
and being able to buy the things they need and want
Subtopic: MLS-F3 Spending Money
F3.2: Budgeting
● describe the possibleconsequences of havinginsufficient income to meetexpenses
Statistics and probability
Subtopic: MLS-S1 Statistics
S1.1: Gather data
● recognise information in avariety of tables and graphs
● read a range of graphs andtables to gather information
S1.3: Analyse and interpret data
● interpret graphs, tables anddatasets from a variety ofcommon sources
● interpret information about adataset and use it to drawconclusions
Page 35
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
● recognise and describe trends indata
● use information to extrapolate ormake predictions from data
Activity 2: Where does super money come from?
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MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-9 uses data in a range of contexts
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
MS11-2, represents information in symbolic, graphical and tabular form
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-9, uses appropriate technology to investigate, organise and interpret information in a range of contexts
Page 36
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
F1.2: Percentages and money
● recognise, read and write the %symbol as ‘per cent’
● interpret the use of percentagesin everyday life, for example:
● calculate the percentage of anamount using whole numberpercentages
Statistics and probability
Subtopic: MLS-S1 Statistics
S1.1: Gather data
● recognise information in a varietyof tables and graphs
● read a range of graphs andtables to gather information
● investigate datasets related to arange of cross-curricular focusareas
S1.3: Analyse and interpret data
● interpret graphs, tables anddatasets from a variety ofcommon sources
Statistical Analysis
Subtopic: MS-S1 Data Analysis
S1.1: Classifying and representing data (grouped and ungrouped)
● interpret andcompare data byconsidering it intabular and/orgraphicalrepresentations
Page 37
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
● interpret information about adataset and use it to drawconclusions
● recognise and describe trends indata
● use information to extrapolate ormake predictions from data
Activity 3: What do I need to do about super?
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MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-9
uses appropriate technology to investigate, organise and interpret information in a range of contexts
MS1-12-5, makes informed decisions about financial situations likely to be encountered post-school
MS1-12-9, chooses and uses appropriate technology effectively and recognises appropriate times for such use
MS1-12-10, uses mathematical argument and reasoning to evaluate conclusions, communicating a position clearly to
MS2-12-5, makes informed decisions about financial situations, including annuities and loan repayments
MS2-12-9, chooses and uses appropriate technology effectively in a range of contexts, and applies critical thinking to recognise appropriate times and methods for such use
MS2-12-10, uses mathematical argument and reasoning to evaluate
MA12-2, models and solves problems and makes informed decisions about financial situations using mathematical reasoning and techniques
MA12-4, applies the concepts and techniques of arithmetic and geometric sequences and series in the solution of problems
MA12-10, constructs arguments to prove and justify results and
Page 38
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
F1.2: Percentages and money
● interpret the use of percentagesin everyday life, for example:
● recognise that there arealternate methods of using acalculator to calculatepercentages of amounts
● calculate the percentage of anamount using whole numberpercentages
● calculate percentage decreasesand increases using a calculatorin the context of moneyproblems
MS11-10
justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.1: Interest and depreciation
• calculate simpleinterest for differentrates and periods(ACMEM064)
• use a spreadsheetto calculate andgraph compoundinterest as arecurrence relationinvolving repeated
others
Financial Mathematics
Subtopic: MS-F2 Investment
F4.1: Investments
• calculate the futurevalue (𝐹𝐹𝐹𝐹) orpresent value(𝑃𝑃𝐹𝐹) and theinterest rate (𝑟𝑟) of acompound interestinvestment usingthe formula 𝐹𝐹𝐹𝐹 =𝑃𝑃𝐹𝐹(1 + 𝑟𝑟)𝑛𝑛
• solve practicalproblems involvingcompounding, forexample determinethe impact ofinflation on pricesand wages orcalculate theappreciated value
conclusions, communicating a position clearly to others and justifying a response
Financial Mathematics
Subtopic: MS-F4 Investments and Loans
F4.1: Investments
• calculate thefuture value (𝐹𝐹𝐹𝐹)or present value(𝑃𝑃𝐹𝐹) and theinterest rate (𝑟𝑟) ofa compoundinterestinvestment usingthe formula 𝐹𝐹𝐹𝐹 =𝑃𝑃𝐹𝐹(1 + 𝑟𝑟)𝑛𝑛
• solve practicalproblems involvingcompounding, for
provides reasoning to support conclusions which are appropriate to the context
Financial Mathematics
Subtopic: MA-M1 Modelling Financial Situations
M1.1: Modelling investments and loans
● solve compoundinterest problemsinvolving financialdecisions,including but notlimited to a homeloan, a savingsaccount, a car loanor superannuation
Page 39
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
applications of simple interest
of items, for example antiques
example determine the impact of inflation on prices and wages
(Year 11 -12 Task)
Activity 3, Task 3 – Superannuation and life expectancy: Outliving your money
• View Print
MALS6-1, explores mathematical concepts, reasoning and language to solve problems
MALS6-5, demonstrates understanding of money
MALS6-6, explores money management and financial decision-making
MALS6-13, engages with mathematical skills and techniques, including technology, to investigate, explain and organise information
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-9
uses appropriate technology to investigate, organise and interpret information in a range of contexts
MS11-10
Page 40
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
● interpret the use of percentagesin everyday life, for example:
● calculate the percentage of anamount using whole numberpercentages
● calculate percentage decreasesand increases using a calculatorin the context of moneyproblems
justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.1: Interest and Depreciation ● calculate simple
interest fordifferent rates andperiods(ACMEM064)– apply
percentageincrease ordecrease invariouscontexts, e.g.calculating thegoods and
Page 41
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
services tax (GST) payable on a range of goods and services, and
– calculatingprofit or loss inabsolute andpercentageterms
● use technology orotherwise tocompare simpleinterest graphs fordifferent rates andperiods
F1.2: Earning and Managing Money
use technology to perform financial calculations
Activity 4: How do I choose a super fund?
MALS6-5, demonstrates understanding of money
MS11-9, uses appropriate technology to investigate, organise and interpret
Page 42
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
Activity 4: How do I choose a super fund?
• View Online
• View Print
MALS6-6, explores money management and financial decision-making
MALS6-9 uses data in a range of contexts
Financial Mathematics
Subtopic: MLS-F1 Decimals, Percentages and Money
F1.2: Percentages and money
● interpret the use of percentagesin everyday life
Statistics and probability
Subtopic: MLS-S1 Statistics
S1.1: Gather data
● recognise information in a varietyof tables and graphs
● read a range of graphs andtables to gather information
S1.3: Analyse and interpret data
information in a range of contexts
MS11-10, justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Statistical Analysis
Subtopic: MS-S1 Data Analysis
S1.1: Classifying and representing data (grouped and ungrouped)
● interpret andcompare data byconsidering it intabular and/orgraphicalrepresentations
Page 43
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
● interpret graphs, tables anddatasets from a variety ofcommon sources
● interpret information about adataset and use it to drawconclusions
● recognise and describe trends indata
● use information to extrapolate ormake predictions from data
(Year 11-12 Task)
Activity 4, Task 3: Superannuation and inflation: A dollar today or in 45 years?
• View Print
MS11-2, represents information in symbolic, graphical and tabular form
MS11-5, models relevant financial situations using appropriate tools
MS11-6, makes predictions about everyday situations based on simple mathematical models
MS11-9
MS1-12-5, makes informed decisions about financial situations likely to be encountered post-school
MS1-12-9, chooses and uses appropriate technology effectively and recognises appropriate times for such use
MS1-12-10, uses mathematical argument and reasoning to
MS2-12-5, makes informed decisions about financial situations, including annuities and loan repayments
MS2-12-9, chooses and uses appropriate technology effectively in a range of contexts, and applies critical thinking to recognise appropriate times and methods for such use
MS2-12-10, uses
MA12-2, models and solves problems and makes informed decisions about financial situations using mathematical reasoning and techniques
MA12-4, applies the concepts and techniques of arithmetic and geometric sequences and series in the solution of problems
Page 44
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
uses appropriate technology to investigate, organise and interpret information in a range of contexts
MS11-10
justifies a response to a given problem using appropriate mathematical terminology and/or calculations
Financial Mathematics
Subtopic: MS-F1 Money Matters
F1.1: Interest and depreciation
• calculate simpleinterest for differentrates and periods(ACMEM064)
evaluate conclusions, communicating a position clearly to others
Financial Mathematics
Subtopic: MS-F2 Investment
• calculate the futurevalue (𝐹𝐹𝐹𝐹) orpresent value(𝑃𝑃𝐹𝐹) and theinterest rate (𝑟𝑟) of acompound interestinvestment usingthe formula 𝐹𝐹𝐹𝐹 =𝑃𝑃𝐹𝐹(1 + 𝑟𝑟)𝑛𝑛
solve practical problems involving compounding, for example determine the impact of inflation on prices and wages or calculate the appreciated value of
mathematical argument and reasoning to evaluate conclusions, communicating a position clearly to others and justifying a response
Financial Mathematics
Subtopic: MS-F4 Investments and Loans
F4.1: Investments
• calculate thefuture value (𝐹𝐹𝐹𝐹)or present value(𝑃𝑃𝐹𝐹) and theinterest rate (𝑟𝑟) ofa compoundinterestinvestment usingthe formula 𝐹𝐹𝐹𝐹 =𝑃𝑃𝐹𝐹(1 + 𝑟𝑟)𝑛𝑛
MA12-10, constructs arguments to prove and justify results and provides reasoning to support conclusions which are appropriate to the context
Financial Mathematics
Subtopic: MA-M1 Modelling Financial Situations
M1.1: Modelling investments and loans
● solve compoundinterest problemsinvolving financialdecisions,including but notlimited to a homeloan, a savingsaccount, a car loanor superannuation
Page 45
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
● use a spreadsheetto calculate andgraph compoundinterest as arecurrence relationinvolving repeatedapplications ofsimple interest
F1.1: Interest and depreciation
● calculate simpleinterest for differentrates and periods(ACMEM064)
Statistical Analysis
Subtopic: MS-S1 Data Analysis
S1.1: Classifying and representing data (grouped and ungrouped)
● interpret andcompare data by
items, for example antiques
• solve practicalproblems involvingcompounding, forexampledetermine theimpact of inflationon prices andwages
M1.3: Geometric sequences and series
● establish and usethe formula for the𝑛𝑛th term of ageometricsequence: 𝑇𝑇𝑛𝑛 =𝑎𝑎𝑟𝑟𝑛𝑛−1, where 𝑎𝑎 isthe first term, 𝑟𝑟 isthe common ratioand 𝑛𝑛 is a positiveinteger, andrecognise itsexponential nature(ACMMM073)
● establish and usethe formula for thesum of the first 𝑛𝑛terms of ageometricsequence:𝑆𝑆𝑛𝑛 = 𝑎𝑎(1−𝑟𝑟𝑛𝑛)
1−𝑟𝑟=
𝑎𝑎(𝑟𝑟𝑛𝑛−1)𝑟𝑟−1
(ACMMM075)
Page 46
Tax, Super + You: New South Wales Curriculum Mapping - Mathematics (2017 syllabus release)
Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard
Year 12 Mathematics Standard 1
Year 12 Mathematics Standard 2
Year 12 Mathematics Advanced
considering it in tabular and/or graphical representations
M1.4: Financial applications of sequences and series
● use geometricsequences tomodel and analysepractical problemsinvolvingexponential growthand decay(ACMMM076)
● solve problemsinvolving financialdecisions, includingbut not limited to ahome loan, a savingsaccount, a car loanor superannuation
Activity 5: Super, the ATO and you
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Page 47