Standard Mathematics Yr 11 - 12 Master syllabus checklist PDF

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Master checklist for all syllabus points and skill necessary for Standard Math...

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Chapter 1: Earning and managing money (Year 11) 1A: Earning money        

I know what a wage is. I know what a salary is. I know the difference between a wage and a salary. I know what p.a. means. I know how to convert between units of time (year, days, months, weeks and fortnights) I know how to find a salary in a specific time period (per years to per months/weeks) I know how to calculate wage payments. I know how to calculate an annual income.

1B: Allowances, bonuses and loadings         

I know what overtime is. I know what a time-and-a-half is. I know what double time is. I know what bonuses are. I know what annual leave loading is. I know how to calculate overtime rates. I know how to calculate wages using overtime rates. I know how to calculate the value of a bonus. I know how to calculate holiday pay with a leave loading.

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1F: Taxable income       

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I know what a commission is. I know what piecework is. I know what royalty is. I know how to calculate commissions and total earnings. I know how to calculate the percentage rate of commission. I know how to calculate pay for piecework. I know how to calculate hourly rate. I know how to calculate income for piecework paid at different rates.

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I know how to calculate Youth Allowance for a student living at home. I know how to calculate Youth Allowance when warning a small income. I know how to calculate Youth Allowance when working part time.

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1E: Deductions and net income 

I know what a gross income is.

I know how to use a tax table. I know how to calculate tax payable using a tax table. I know the difference between a tax refund and a balance payable. I know how to calculate a tax refund/ balance payable.

Chapter 1: Overall

1D: Government allowance and pensions 

I know what a taxable income is. I know what a total income is. I know what the Medicare Levy is. I know that 𝑡𝑎𝑥𝑎𝑏𝑙𝑒 𝑖𝑛𝑐𝑜𝑚𝑒 = 𝑡𝑜𝑡𝑎𝑙 𝑖𝑛𝑐𝑜𝑚𝑒 − 𝑎𝑙𝑙𝑜𝑤𝑎𝑏𝑙𝑒 𝑑𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑠 I know how to calculate taxable income. I know how to calcite the Medicare levy on taxable income. I know how to calculate study loan repayments.

1G: Calculating tax

1C: Commission, piecework and royalties    

I know what a net income is. I know the difference between a net and a gross income. I know how to calculate net income. I know how to calculate superannuation contributions. I know how to calculate annual net income after deductions.

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convert between annual, weekly, fortnightly and monthly incomes calculate incomes that include special allowances or loadings, such as holiday loading calculate pay when overtime is paid calculate incomes based on commissions, piecework and royalties understand and calculate bonus payments use charts and tables to calculate pensions, government allowances and health insurance payments calculate the Medicare levy and student loan repayments. calculate superannuation contributions and payments calculate net income and understand the difference between gross income and net income calculate tax payable on taxable income

Chapter 2: Practicalities of measurement (Year 11) 2A: Significant figures  

I know what significant figures are. I know how to round numbers to different significant figures.

2B: Scientific notation   

I know what scientific notation is. I know how to write numbers into scientific notation. I know how to convert numbers in scientific notation to basic numeral.

2C: Metric units of measurement     

I know how to convert between units of length. I know how to convert between units of mass. I know how to convert between units of capacity. I know how to convert between units of area. I know how to convert between units of volume.

2D: Prefixes for units of measurement 

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I know the different prefixes for measurement (tera, giga, mega, kilo, centi, milli, micro, nano) I know the different symbols for the prefixes for measurement (T, G, M, k, c, m, 𝜇, n). I know how to convert between those units.

2E: Error and accuracy in measurement  

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I know how errors in measurement may happen. I know that when I add/subtract number the accuracy is limited by the measurement that is accurate to the least amount of decimal places. I know that when I multiply/divide number the accuracy is limited by the measurement that is accurate to the least amount of significant figures.

2F: Absolute error and limits of accuracy    

I know what precision is. I know what absolute error is. I know what the lower bound of true measurement is. I know what the upper bound of true measurement is.

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I know how to find the precision and the absolute value. I know how to find the absolute error and limits of accuracy. I know how to find the absolute error as a percentage of the measurement. I know how to find the maximum error.

Chapter 2: Overall    

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round numbers using significant figures express decimal numbers in scientific notation, and vice versa perform calculations with numbers expressed in scientific notation convert between the commonly used metric units for length, mass, capacity, area and volume understand the possible sources of error in measuring and how to reduce their effect determine the precision, the absolute error, the upper and lower bounds and the percentage error for a measurement find the maximum possible error when measurements are used in calculations make sensible approximations for the results of calculations using measurements.

Chapter 3: Formulas and equations (Year 11) 3A: Substitution into expressions and formulas     

I know what a pronumeral is. I know what a formula is. I know what the subject of the formula is. I know how to evaluate an expression when given values of pronumerals. I understand that substituting and evaluating are the same.

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3B: Solving linear equations     

I know what a linear equation is. I know how to solve linear equation. I know how to check if a value is a solution to an equation. I understand that the sign in front of a term belongs to the term. I know how to create an equation from a worded description.

3C: Solving further linear equations   

+ 5 𝑎𝑛𝑑

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𝑥+5 4

I know how to solve equations with pronumerals on both sides.

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3D: Finding the value of a variable in a formula 

I know how to substitute values in a formula and find the missing variable. I know how to rearrange a formula, to make a specific variable the subject.

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I know how to calculate the average speed. I know what the total stopping distance is. I know what the reaction-time distance is. I know what the braking distance is. I know how to calculate the speed, the distance and the time using 𝑠𝑝𝑒𝑒𝑑 =

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𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑖𝑚𝑒

I know how to convert between units of speed (ie km/h to m/s) I know how to calculate the reactions-time distance. I know how to calculate the braking distance. I know how to calculate the stopping distance.

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 3F: Blood alcohol content

𝐵𝐴𝐶 𝑚𝑎𝑙𝑒 =

o

𝐵𝐴𝐶 𝑓𝑒𝑚𝑎𝑙𝑒

10𝑁−7.5𝐻 6.8𝑀 10𝑁−7.5𝐻 = 5.5𝑀

o 𝑁 = # 𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑟𝑖𝑛𝑘𝑠 𝑐𝑜𝑛𝑠𝑢𝑚𝑒𝑑 o H = number of hours spent drinking o M = Mass of the person (kg) I know how to calculate the time needed to eliminate one standard drink 𝐵𝐴𝐶

o

𝑇 = 0.015

o

𝑇 = # ℎ𝑜𝑢𝑟𝑠 𝑡ℎ𝑒 𝑑𝑟𝑖𝑛𝑘𝑒𝑟 𝑚𝑢𝑠𝑡 𝑤𝑎𝑖𝑡

I understand there are three different formulas to calculate dosage in medication: Fried’s formula, Young’s formula and Clark’s formula. I know how to use those formulas to calculate different dosages. I know how to calculate the flow rate in mL/h I know how to calculate the flow rate in drop/min.

Chapter 3: Overall

3E: Travel calculations     

o

3G: Medication calculations

I know how to solve linear equations involving equations. I understand the difference between 𝑥 4

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I know what the BAC is. I know what a standard drink is. I know what to use the formula to calculate the number of standard drinks. o 𝑁 = 0.789 × 𝑉 × 𝐴 o N = The number of standard drinks. o V = Volume of containers in L. o A = the percentage of alcohol in the drink. I know how to use the formulas to calculate the BAC for a male and a female.

substitute for pronumerals and evaluate expressions find the value of the subject of a formula by substituting for variables Solve linear equations solve equations by substitution into formulas change the subject of a formula solve problems related to speed, distance and time calculate the distance a motor vehicle travels in the time it takes to bring it to a stop calculate the number of standard drinks in a container, the BAC for males and females, and the time it takes for someone’s BAC to fall to zero calculate medical dosages.

Chapter 4: Classifying data and sampling (Year 11) 4A: Collecting and classifying data      

I know what data is. I know the different types of data (categorical and numerical) I know the 2 different types of categorical data: nominal or ordinal, I know the 2 difference types of numerical data: continuous and discrete. I know how to classify data. I know the difference between continuous and discrete data.

4B: Collecting and classifying data       

I know what a sample is. I know what a population is. I know what a census is. I know what a bias sample is. I understand that some surveys may be bias. I know how to identify surveys that are bias. I know to identify a census vs a sample.

4C: Random sampling  

I know what a random sample is. I know how to select a random sample out of a group.

4D: Stratified random sampling 

I know what a stratified random sample is.

4E: Systematic sampling  

I know what a systematic sample is. I know how to explain how to select a systematic sample.

4F: Suitability of sample types 

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I know the different types of sampling: Random sampling, stratified sampling, selfselected sampling, systematic sampling. I know how to estimate the responses of a populations from a representative sample.

Chapter 4: Overall   

classify data as nominal, ordinal, discrete or continuous identify whether a census or a sample is appropriate for data collection recognise that the purpose of a sample is to estimate a particular characteristic of the whole population

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understand the concept of bias in a sample describe and use random, stratified, selfselected and systematic samples to collect data generate random numbers using a table, calculator or spreadsheet to establish random samples determine the appropriate sample type for a given situation.

Chapter 5: Perimeter, area and volume (Year 11) 5A: Perimeter       

I know what perimeter is. I know how to calculate the perimeter of a shape. I know how to use marking on shapes to calculate the perimeter. I know how to use Pythagoras’ theorem to find a perimeter. I know how to calculate the circumference of a circle. I know how to calculate the perimeter of a composite shape. I know how to calculate the perimeter of a sector.

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5G: Volume     

5B: Area of simple shapes 

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I know the formulas to calculate the area of different shape (rectangle, square, parallelogram, triangle, rhombus/kite, trapezium, circle, sector). I know how to calculate the area of different shapes.

5C: Area of composite figures   

I know what a composite figure is. I know how to calculate the area of a composite figure. I understand that I can use addition or subtraction to find the area of a composite shape.

5D: Perimeter and area of irregular shapes 

I know how to use the trapezoidal rule to estimate the areas of a shape.

5E: Surface area of prisms       

I know what a prism is. I know what a net is. I know what the surface area is. I know how to calculate the surface area of a cube. I know how to calculate the surface area of a rectangular prism. I know how to calculate the surface area of a triangular prism. I know how to calculate the area of a composite prism.

5F: Surface area of cylinders and spheres

I know what a cylinder is. I know what a sphere is. I know how to calculate the surface area of a cylinder I understand the difference between an openended cylinder and a closed cylinder. I know how to calculate the surface area of a sphere.

I know what the volume is. I know what a cross-section is. I know how to calculate the volume of prism. I know how to calculate the volume of a cylinder. I know how to calculate the volume of a sphere.

5H: Capacity  

I know what capacity is. I know how to convert between volume and capacity.

Chapter 5: Overall 

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calculate the perimeter and area of triangles, quadrilaterals, circles, sectors and composite shapes calculate the perimeter and area of irregularly shaped blocks of land, including the use of the Trapezoidal rule calculate the surface area of right prisms, cylinders, spheres and composite solids calculate the volume of right prisms, cylinders, spheres and composite solids convert between units of volume and capacity solve problems involving perimeter, area, surface area, volume and capacity

Chapter 6: Interest and depreciation (Year 11) 6A: Percentage applications        

I know how to increase a quantity by a percentage. I know how to decrease a quantity by a percentage. I know how to calculate the percentage change. I know the different between profit and loss. I know how to calculate the percentage loss/profit. I understand what the GST is. I know how to calculate the GST on an item. I know how to calculate the original price (pre-GST)

6B: Simple interest calculations       

I know the simple interest formula. I know what the different variables represents in the formula. I understand that the rate is a percentage or a decimal. I understand that the rate and the number of time period should be in the same units. I know how to calculate interests using the simple interest formula. I know how to convert rates so that they are in the same units as the other variables. I know how to use the formula to find the rate, the time period.

6C: Simple interest graphs  

I know how to use a simple interest graph to find different information. I know how to graph a simple interest graph.

6D: Straight-line depreciation       

I know what deprecation means. I know what a salvage value is. I know what the straight-line method of depreciation is. I know the formula for the straight-line method of depreciation 𝑆 = 𝑉 − 𝐷𝑛. I know what S, V, D and n means. I know how to calculate the value of an asset using the formula. I know how to find V, D or n using the formula.

6E: Compound interest

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I know what a compound interest is. I know how to calculate the total value of an investment and the interests earned.

Chapter 6: Overall       

apply percentage increase or decrease in various contexts calculate pro-t or loss, and percentage pro-t or percentage loss calculate GST calculate simple interest over different time periods, altering the rate where necessary draw simple interest graphs using pen and paper and technology calculate the depreciation of an asset using the straight-line method draw compound interest graphs as a result of repeated applications of the simple interest formula.

Chapter 7: Representing data (Year 11) 7A: Frequency distribution tables  

I know what a frequency table is. I know how to construct a frequency table.

7B: Cumulative and relative frequency      

I know what a cumulative frequency is. I know what a relative frequency is. I know what the percentage relative frequency is. I know how to construct a cumulative frequency table. I know how to construct a relative frequency table. I know how to use a cumulative table frequency to find the frequency.

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7G: Cumulative frequency graph    

7C: Dot plots and stem-and-leaf plots       

I know what a dot plot is. I know how to construct a dot plot. I know how to read data off a dot plot. I know what a stem-and-leaf plot is. I know how to construct a stem-and-leaf plot. I know how to read data off a stem-and-leaf plot. I know what a back-to-back stem-and-leaf plot is and how to read data off it.

7D: Column and bar graphs      

I know what a column graph is. I understand that a column graph usually represents categorical data. I understand that the columns in a column graph should not be touching. I know how to draw a horizontal bar graph. I know how to identify if a column graph has misleading features. I know the different causes of a misleading graph.

7E: Line graph   

I know what a lie graph is. I know how to construct a line graph. I know how to identify any misleading line graph.

7F: Frequency histograms and polygons.  

I know what a histogram is, I know what a frequency polygon is.

I understand that the columns should be touching in a frequency histogram. I understand that I should leave a gap between the y-axis and the first column. I understand that the frequency polygon passes through the middle. I know how to draw a frequency histogram and polygon.

I know what a cumulative frequency histogram is. I know what a cumulative frequency polygon is. I know how to draw a cumulative frequency histogram and polygon. I know what a Pareto chart is and how to draw one.

Chapter 7: Overall             

construct frequency distribution tables understand and use cumulative and relative frequency graphs and tables group data into classes create and interpret dot plots construct and interpret stem-and-leaf plots create column and bar graphs create and interpret line graphs understand how graphs may be misleading construct and interpret frequency histograms and polygons construct and interpret cumulative frequency histograms and ogives construct and interpret Pareto charts link types of data with appropriate displays describe the strengths and weaknesses of various forms of display.

Chapter 8: Relative frequency and probability (Yr 11) 8A: Sample space and number of outcomes          

I know what a sample space is. I know what an experiment is. I know what an event is. I know what a multistage experiment is. I know what a multistage event is. I know what equally likely outcomes means. I know how to list the sample space of an experiment. I know how to identify outcomes that are equally likely to occur. I know how to find the sample space for a 2stage experiment. I know how to find the sample space for a 3stage experiment.

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8E: Probability for multistage events  

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I know what probability means. I know how to ca...