Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics … · 2018-10-09 · Tax, Super +...

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?

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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

https://www.taxsuperandyou.gov.au/course/432/what-tax-and-why-do-we-need-it

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Tax.101_Activity1_06102017.pdf



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

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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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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


Subtopic: MS-F1 Money Matters

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Tax.101_Activity1_Task2.pdf

https://www.taxsuperandyou.gov.au/course/433/tax-who-what-how-and-why




MALS6-9 uses data in a range of contexts



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





F1.2: Earning and Managing Money

● use technology to perform financial calculations

Activity 3: Interactive – Shaping the system

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https://www.taxsuperandyou.gov.au/content/interactive-shaping-system

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Tax.101_Interactive_ShapingSystem_A_06102017.pdf




MALS6-6, explores money management and financial decision-making


Subtopic: MLS-N1 Review of Number Properties

N1.3: Number problems

● recognise decimals and percentages in everyday contexts


N2.2: Modelling

• model real-life problems using concrete materials and/or diagrams• develop rules based on the models created





Algebra

Subtopic: MS-A2 Linear Relationships

A2: Linear Relationships

● Model, analyse and solve problems involving linearrelationships



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


● use technology to perform financial calculations



Activity 4: The Budget - Taxes and spending

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MALS6-14 communicates mathematical ideas and relationships using a variety of strategies



N2.2: Modelling

● model real life problems using diagrams


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

https://www.taxsuperandyou.gov.au/course/435/budget-taxes-and-spending




(Year 11-12 task)

Activity 4, Task 2: Budgetary policy

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MALS6-1, explores mathematical concepts, reasoning and language to solve problems

MALS6-5, demonstrates understanding of 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


MS11-7, develops and carries out simple statistical processes to answer questions posed


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

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Tax.101_Activity4_Task2.pdf



– interest on investments– profits from operating a business


• recognise the existence and purpose of income tax

Interactive

You make the decision

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MALS6-2, engages with mathematical symbols, diagrams, graphs and tables to represent information accurately



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


Sub-topic MLS-F3 Spending Money

F3.1: Purchasing goods and services

https://www.taxsuperandyou.gov.au/content/interactive-task-a43-you-make-decision

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Tax.101_Interactive_MaketheDecision_06102017.pdf



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

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https://www.taxsuperandyou.gov.au/course/436/history-tax-australia




Activity 6: Role of the ATO in Australia

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● recognise the existence and purpose of income tax● recognise that workers need to submit a tax return annually

https://www.taxsuperandyou.gov.au/course/437/role-ato



Your Tax Mathematics Life Skills Stage 6

Year 11 Mathematics Standard

Year 12 Mathematics Standard 1


Mathematics Advanced

Activity 1: Income and income tax

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● recognise, read andwrite the % symbol as‘per cent’

● interpret the use ofpercentages ineveryday life

https://www.taxsuperandyou.gov.au/course/442/income-and-income-tax

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Your.Tax_Activity1_20102017.pdf







Subtopic:

MLS-F2 Earning Money


● 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








• recognise theexistence andpurpose ofincome tax

(Year 11-12 Task)

Activity 1, Task 3: Franked dividends: Are they worth it?

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MS11-2, represents information in symbolic, graphic and tabular form

MS11-5, models relevant financial situations using appropriate tools




MS2-12-5, makes informed decisions about financial situations, including annuities and loan repayments


Subtopic: MS-F4 Investments and Loans

F4.1: Investments

• work with shares andcalculate theappreciated value ofitems, for exampleantiques– calculate the

dividend paid on a

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Your.Tax_Activity1_Task3.pdf









● calculate thepercentage of anamount using wholenumber percentages

● calculate percentagedecreases andincreases using acalculator in thecontext of moneyproblems



● 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)







– commission– piecework

● identify and describeforms of income otherthan work-relatedincome, for example:

– pocket money– social security



operating abusiness


recognise the existence and purpose of income tax

Activity 2: Working and paying tax

MALS6-1, explores mathematical concepts, reasoning and language








Activity 2: Working and paying tax

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to solve problems








MS11-6, makes predictions about everyday situations based on simple mathematical models





https://www.taxsuperandyou.gov.au/course/443/working-and-paying-tax












● read and interprettables related toincome, e.g. wagetables, tables ofpayments fromCentrelink

● read and interpret payadvice notifications

F2.2: Income calculations


● 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







● calculate earningsbased on wages orsalaries, for example:

– calculate incomegiven an hourlyrate and a numberof hours workedor calculateweekly incomegiven an annualsalary


● 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

Activity 3: Completing your tax return

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● understand that thePay As You Go(PAYG) system oftaxation is applied to







— — —

https://www.taxsuperandyou.gov.au/course/444/completing-your-tax-return

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/your.tax_activity3_11072018.pdf







most wage and salary earners


● 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

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MS11-6, makes predictions about

https://www.taxsuperandyou.gov.au/course/445/calculating-tax-due
















everyday situations based on simple mathematical models






● calculate income tax– identify allowable

tax deductions– calculate taxable

income after








● understand that thePay As You Go(PAYG) system oftaxation is applied tomost wage and salaryearners

● interpret and calculatetax and otherdeductions


● 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







example calculating percentage change, calculating tax payable and preparing a wage-sheet

Activity 5: What other taxes do I have to pay?

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— — — — —

(Year 11-12 Task)

Activity 5, Task 2: What type of tax is this?

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https://www.taxsuperandyou.gov.au/course/446/what-other-taxes-do-i-have-pay

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/your.tax_activity5_04072018.pdf

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Your.Tax_Activity5_Task2.pdf












● calculate percentagedecreases andincreases using acalculator in thecontext of moneyproblems

Subtopic:

MLS-F2 Earning Money




● use technology toperform financialcomputations, forexample calculatingpercentage change,calculating taxpayable and preparinga wage-sheet








● 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



operating abusiness









Activity 6: Fixing a tax problem

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F1.1: Interest and depreciation

● calculate simpleinterest for differentrates and periods(ACMEM064)

https://www.taxsuperandyou.gov.au/course/447/fixing-tax-problem



Business Tax Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard



Activity 1: What is a business?

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— — — —

Activity 2: Business structures

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● interpret the use of percentages in everydaylife

● recognise that there are alternate methodsof using a calculator to calculatepercentages of amounts






• calculate income tax• use technology to perform

financial computations

https://www.taxsuperandyou.gov.au/course/426/what-business

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Business.Tax_Activity1_09112017.pdf

https://www.taxsuperandyou.gov.au/course/427/business-structures








● 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

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— — — —

Activity 4: Explaining business taxes

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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

https://www.taxsuperandyou.gov.au/course/428/running-business-tax-obligations


https://www.taxsuperandyou.gov.au/course/429/explaining-business-taxes






number and patterns in a range of contexts



MALS6-14 communicates mathematical ideas and relationships using a variety of strategies



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



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





● 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






and/or graphical representations





● calculate percentage decreases andincreases using a calculator in the contextof money problems

Activity 5: The goods and services tax (GST)

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● calculate simple interest fordifferent rates and periods(ACMEM064)


● use technology to performfinancial computations

https://www.taxsuperandyou.gov.au/course/430/goods-and-services-tax-gst






(Year 11-12 Task)

Activity 5, Task 3: Breaking even and GST

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MALS6-4, explores contexts of everyday measurement




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




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

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Business.Tax_Activity5_Task3.pdf





● 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








● calculate simple interest fordifferent rates and periods(ACMEM064)


● use technology to performfinancial computations

Activity 6: How is business tax collected?

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— — — —

https://www.taxsuperandyou.gov.au/course/431/how-business-tax-collected



Super Mathematics Life Skills – Stage 6 Year 11 Mathematics Standard



Year 12 Mathematics Advanced

Activity 1: What is superannuation?

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MALS6-2, engages with mathematical symbols, diagrams, graphs and tables to represent information accurately



MALS6-9, uses data in a range of contexts MALS6-14, communicates mathematical ideas and relationships using a variety of strategies




• recognise the link between aperson having sufficient income

https://www.taxsuperandyou.gov.au/course/424/what-superannuation

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Super.Activity1_16112017.pdf






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



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






● 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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https://www.taxsuperandyou.gov.au/course/420/where-does-super-money-come








● 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



S1.1: Gather data

● recognise information in a varietyof tables and graphs


● investigate datasets related to arange of cross-curricular focusareas






● interpret andcompare data byconsidering it intabular and/orgraphicalrepresentations









Activity 3: What do I need to do about super?

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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


MS2-12-9, 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

https://www.taxsuperandyou.gov.au/course/421/what-do-i-need-do-about-super









● recognise that there arealternate methods of using acalculator to calculatepercentages of amounts


● 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




• calculate simpleinterest for differentrates and periods(ACMEM064)

• use a spreadsheetto calculate andgraph compoundinterest as arecurrence relationinvolving repeated

others


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



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


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






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

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MS11-9


MS11-10

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Super.Activity3_Task3.pdf








● calculate percentage decreasesand increases using a calculatorin the context of moneyproblems




F1.1: Interest and Depreciation ● calculate simple

interest fordifferent rates andperiods(ACMEM064)– apply

percentageincrease ordecrease invariouscontexts, e.g.calculating thegoods and






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


use technology to perform financial calculations

Activity 4: How do I choose a super fund?


MS11-9, uses appropriate technology to investigate, organise and interpret






Activity 4: How do I choose a super fund?

• View Online

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● interpret the use of percentagesin everyday life



S1.1: Gather data

● recognise information in a varietyof tables and graphs



information in a range of contexts





● interpret andcompare data byconsidering it intabular and/orgraphicalrepresentations

https://www.taxsuperandyou.gov.au/course/422/how-do-i-choose-super-fund











(Year 11-12 Task)

Activity 4, Task 3: Superannuation and inflation: A dollar today or in 45 years?

• View Print




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


MS2-12-9, 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

https://www.taxsuperandyou.gov.au/sites/default/files/downloads/Super.Activity4_Task3.pdf







MS11-10





• calculate simpleinterest for differentrates and periods(ACMEM064)

evaluate conclusions, communicating a position clearly to others


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



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


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






● use a spreadsheetto calculate andgraph compoundinterest as arecurrence relationinvolving repeatedapplications ofsimple interest


● calculate simpleinterest for differentrates and periods(ACMEM064)




● 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)






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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__ __ __ __ __

https://www.taxsuperandyou.gov.au/course/423/super-ato-and-you


Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics … · 2018-10-09 · Tax, Super +...

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Transcript of Tax 101 Mathematics Life Skills – Stage 6 Year 11 Mathematics … · 2018-10-09 · Tax, Super +...