Mathematics
Outcomes
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Foundation Year
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Number and Algebra
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Number and place value
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ACMNA001
Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting pointPlay Activities 185Examples
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ACMNA002
Connect number names, numerals and quantities, including zero, initially up to 10 and then beyondPlay Activities 290Examples
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ACMNA003
Subitise small collections of objectsExamples
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ACMNA289
Compare, order and make correspondences between collections, initially to 20, and explain reasoningPlay Activities 102Examples
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ACMNA004
Represent practical situations to model addition and sharingPlay Activities 149Examples
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ACMNA001
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Patterns and algebra
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ACMNA005
Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawingsExamples
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ACMNA005
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Number and place value
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Measurement and Geometry
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Using units of measurement
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ACMMG006
Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explain reasoning in everyday languageExamples
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ACMMG007
Compare and order the duration of events using the everyday language of timeExamples
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ACMMG008
Connect days of the week to familiar events and actionsExamples
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ACMMG006
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Using units of measurement
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Location and transformation
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Location and transformation
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ACMMG010
Describe position and movementExamples
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ACMMG010
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Location and transformation
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Number and Algebra
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Year 1
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Number and Algebra
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Number and place value
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ACMNA012
Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zeroPlay Activities 215Examples
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ACMNA013
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number linePlay Activities 295Examples
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ACMNA014
Count collections to 100 by partitioning numbers using place valuePlay Activities 133Examples
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ACMNA015
Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging partsPlay Activities 757Examples
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ACMNA012
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Fractions and decimals
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ACMNA016
Recognise and describe one-half as one of two equal parts of a whole.Examples
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ACMNA016
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Patterns and algebra
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ACMNA018
Investigate and describe number patterns formed by skip counting and patterns with objectsExamples
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ACMNA018
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Number and place value
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Measurement and Geometry
- Using units of measurement
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Shape
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ACMMG022
Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious featuresExamples
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ACMMG022
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Location and transformation
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ACMMG023
Give and follow directions to familiar locationsExamples
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ACMMG023
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Statistics and Probability
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Data representation and interpretation
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ACMSP263
Represent data with objects and drawings where one object or drawing represents one data value. Describe the displaysExamples
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ACMSP263
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Data representation and interpretation
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Number and Algebra
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Year 2
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Number and Algebra
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Number and place value
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ACMNA026
Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences.Examples
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ACMNA027
Recognise, model, represent and order numbers to at least 1000Examples
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ACMNA028
Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient countingExamples
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ACMNA029
Explore the connection between addition and subtractionPlay Activities 176Examples
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ACMNA030
Solve simple addition and subtraction problems using a range of efficient mental and written strategiesPlay Activities 456Examples
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ACMNA031
Recognise and represent multiplication as repeated addition, groups and arraysExamples
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ACMNA032
Recognise and represent division as grouping into equal sets and solve simple problems using these representationsExamples
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ACMNA026
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Fractions and decimals
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ACMNA033
Recognise and interpret common uses of halves, quarters and eighths of shapes and collectionsExamples
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ACMNA033
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Money and financial mathematics
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ACMNA034
Count and order small collections of Australian coins and notes according to their valueExamples
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ACMNA034
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Patterns and algebra
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ACMNA035
Describe patterns with numbers and identify missing elementsExamples
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ACMNA035
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Number and place value
- Measurement and Geometry
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Statistics and Probability
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Data representation and interpretation
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ACMSP050
Create displays of data using lists, table and picture graphs and interpret themExamples
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ACMSP050
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Data representation and interpretation
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Number and Algebra
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Year 3
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Number and Algebra
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Number and place value
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ACMNA051
Investigate the conditions required for a number to be odd or even and identify odd and even numbersExamples
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ACMNA052
Recognise, model, represent and order numbers to at least 10 000Examples
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ACMNA053
Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problemsPlay Activities 117Examples
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ACMNA054
Recognise and explain the connection between addition and subtractionPlay Activities 268Examples
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ACMNA055
Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computationPlay Activities 486Examples
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ACMNA056
Recall multiplication facts of two, three, five and ten and related division factsPlay Activities 526Examples
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ACMNA057
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologiesPlay Activities 224Examples
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ACMNA051
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Fractions and decimals
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ACMNA058
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete wholeExamples
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ACMNA058
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Money and financial mathematics
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ACMNA059
Represent money values in multiple ways and count the change required for simple transactions to the nearest five centsExamples
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ACMNA059
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Patterns and algebra
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ACMNA060
Describe, continue, and create number patterns resulting from performing addition or subtractionExamples
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ACMNA060
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Number and place value
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Measurement and Geometry
- Using units of measurement
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Shape
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ACMMG063
Make models of three-dimensional objects and describe key featuresExamples
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ACMMG063
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Location and transformation
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ACMMG065
Create and interpret simple grid maps to show position and pathwaysExamples
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ACMMG065
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Geometric reasoning
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ACMMG064
Identify angles as measures of turn and compare angle sizes in everyday situationsExamples
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ACMMG064
- Statistics and Probability
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Number and Algebra
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Year 4
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Number and Algebra
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Number and place value
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ACMNA072
Recognise, represent and order numbers to at least tens of thousandsExamples
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ACMNA074
Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9Examples
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ACMNA075
Recall multiplication facts up to 10 10 and related division factsPlay Activities 422Examples
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ACMNA073
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problemsPlay Activities 151Examples
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ACMNA076
Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainderPlay Activities 384Examples
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ACMNA072
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Fractions and decimals
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ACMNA077
Investigate equivalent fractions used in contextsExamples
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ACMNA078
Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number lineExamples
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ACMNA079
Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notationExamples
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ACMNA077
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Money and financial mathematics
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ACMNA080
Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologiesExamples
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ACMNA080
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Patterns and algebra
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ACMNA083
Use equivalent number sentences involving addition and subtraction to find unknown quantitiesPlay Activities 150Examples
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ACMNA083
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Number and place value
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Measurement and Geometry
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Using units of measurement
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ACMMG084
Use scaled instruments to measure and compare lengths, masses, capacities and temperaturesExamples
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ACMMG290
Compare objects using familiar metric units of area and volumeExamples
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ACMMG085
Convert between units of timeExamples
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ACMMG086
Use am and pm notation and solve simple time problemsExamples
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ACMMG084
- Shape
- Location and transformation
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Geometric reasoning
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ACMMG089
Compare angles and classify them as equal to, greater than or less than a right angleExamples
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ACMMG089
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Using units of measurement
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Statistics and Probability
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Data representation and interpretation
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ACMSP096
Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data valuesExamples
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ACMSP096
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Data representation and interpretation
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Number and Algebra
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Year 5
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Number and Algebra
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Number and place value
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ACMNA098
Identify and describe factors and multiples of whole numbers and use them to solve problemsExamples
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ACMNA099
Use estimation and rounding to check the reasonableness of answers to calculationsPlay Activities 171Examples
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ACMNA100
Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologiesExamples
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ACMNA101
Solve problems involving division by a one digit number, including those that result in a remainderPlay Activities 107Examples
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ACMNA291
Use efficient mental and written strategies and apply appropriate digital technologies to solve problemsPlay Activities 646Examples
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ACMNA098
- Fractions and decimals
- Patterns and algebra
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Number and place value
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Measurement and Geometry
- Using units of measurement
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Shape
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ACMMG111
Connect three-dimensional objects with their nets and other two-dimensional representationsExamples
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ACMMG111
- Location and transformation
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Geometric reasoning
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ACMMG112
Estimate, measure and compare angles using degrees. Construct angles using a protractorExamples
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ACMMG112
- Statistics and Probability
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Number and Algebra
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Year 6
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Number and Algebra
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Number and place value
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ACMNA122
Identify and describe properties of prime, composite, square and triangular numbersExamples
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ACMNA123
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbersPlay Activities 1151Examples
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ACMNA122
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Fractions and decimals
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ACMNA125
Compare fractions with related denominators and locate and represent them on a number lineExamples
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ACMNA126
Solve problems involving addition and subtraction of fractions with the same or related denominatorsExamples
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ACMNA127
Find a simple fraction of a quantity where the result is a whole number, with and without digital technologiesExamples
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ACMNA128
Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answersPlay Activities 328Examples
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ACMNA129
Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologiesPlay Activities 174Examples
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ACMNA130
Multiply and divide decimals by powers of 10Examples
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ACMNA131
Make connections between equivalent fractions, decimals and percentagesExamples
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ACMNA125
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Money and financial mathematics
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ACMNA132
Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologiesExamples
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ACMNA132
- Patterns and algebra
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Number and place value
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Measurement and Geometry
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Using units of measurement
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ACMMG135
Connect decimal representations to the metric systemPlay Activities 136Examples
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ACMMG136
Convert between common metric units of length, mass and capacityPlay Activities 192Examples
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ACMMG137
Solve problems involving the comparison of lengths and areas using appropriate unitsExamples
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ACMMG138
Connect volume and capacity and their units of measurementExamples
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ACMMG139
Interpret and use timetablesExamples
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ACMMG135
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Shape
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ACMMG140
Construct simple prisms and pyramidsExamples
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ACMMG140
- Location and transformation
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Geometric reasoning
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ACMMG141
Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown anglesExamples
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ACMMG141
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Using units of measurement
- Statistics and Probability
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Number and Algebra
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Year 7
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Number and Algebra
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Number and place value
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ACMNA149
Investigate index notation and represent whole numbers as products of powers of prime numbersExamples
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ACMNA150
Investigate and use square roots of perfect square numbersExamples
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ACMNA151
Apply the associative, commutative and distributive laws to aid mental and written computationPlay Activities 109Examples
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ACMNA280
Compare, order, add and subtract integersExamples
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ACMNA149
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Real numbers
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ACMNA152
Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number lineExamples
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ACMNA153
Solve problems involving addition and subtraction of fractions, including those with unrelated denominatorsExamples
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ACMNA154
Multiply and divide fractions and decimals using efficient written strategies and digital technologiesPlay Activities 148Examples
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ACMNA155
Express one quantity as a fraction of another, with and without the use of digital technologiesPlay Activities 112Examples
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ACMNA156
Round decimals to a specified number of decimal placesExamples
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ACMNA157
Connect fractions, decimals and percentages and carry out simple conversionsPlay Activities 128Examples
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ACMNA158
Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.Examples
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ACMNA173
Recognise and solve problems involving simple ratiosPlay Activities 160Examples
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ACMNA152
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Money and financial mathematics
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ACMNA174
Investigate and calculate 'best buys', with and without digital technologiesExamples
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ACMNA174
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Patterns and algebra
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ACMNA175
Introduce the concept of variables as a way of representing numbers using lettersExamples
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ACMNA176
Create algebraic expressions and evaluate them by substituting a given value for each variableExamples
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ACMNA177
Extend and apply the laws and properties of arithmetic to algebraic terms and expressionsExamples
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ACMNA175
- Linear and non-linear relationships
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Number and place value
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Measurement and Geometry
- Using units of measurement
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Shape
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ACMMG161
Draw different views of prisms and solids formed from combinations of prismsExamples
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ACMMG161
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Location and transformation
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ACMMG181
Describe translations, reflections in an axis, and rotations of multiples of 90 degrees on the Cartesian plane using coordinates. Identify line and rotational symmetriesExamples
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ACMMG181
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Geometric reasoning
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ACMMG163
Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversalExamples
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ACMMG164
Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoningExamples
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ACMMG166
Demonstrate that the angle sum of a triangle is 180 degrees and use this to find the angle sum of a quadrilateralExamples
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ACMMG165
Classify triangles according to their side and angle properties and describe quadrilateralsExamples
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ACMMG163
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Statistics and Probability
- Chance
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Data representation and interpretation
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ACMSP170
Construct and compare a range of data displays including stem-and-leaf plots and dot plotsExamples
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ACMSP171
Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of dataExamples
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ACMSP172
Describe and interpret data displays using median, mean and rangeExamples
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ACMSP170
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Number and Algebra
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Year 8
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Number and Algebra
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Number and place value
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ACMNA182
Use index notation with numbers to establish the index laws with positive integral indices and the zero indexExamples
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ACMNA183
Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologiesPlay Activities 262Examples
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ACMNA182
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Real numbers
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ACMNA186
Investigate the concept of irrational numbers, including piExamples
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ACMNA187
Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologiesExamples
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ACMNA188
Solve a range of problems involving rates and ratios, with and without digital technologiesPlay Activities 113Examples
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ACMNA186
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Money and financial mathematics
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ACMNA189
Solve problems involving profit and loss, with and without digital technologiesExamples
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ACMNA189
- Patterns and algebra
- Linear and non-linear relationships
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Number and place value
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Measurement and Geometry
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Using units of measurement
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ACMMG195
Choose appropriate units of measurement for area and volume and convert from one unit to anotherExamples
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ACMMG196
Find perimeters and areas of parallelograms, trapeziums, rhombuses and kitesExamples
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ACMMG197
Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and areaExamples
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ACMMG198
Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volumeExamples
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ACMMG195
- Geometric reasoning
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Using units of measurement
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Statistics and Probability
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Data representation and interpretation
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ACMSP207
Investigate the effect of individual data values , including outliers, on the mean and medianExamples
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ACMSP207
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Data representation and interpretation
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Number and Algebra
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Year 9
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Number and Algebra
- Real numbers
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Money and financial mathematics
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ACMNA211
Solve problems involving simple interestExamples
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ACMNA211
- Patterns and algebra
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Linear and non-linear relationships
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ACMNA214
Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing softwareExamples
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ACMNA294
Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing softwareExamples
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ACMNA215
Sketch linear graphs using the coordinates of two points and solve linear equationsExamples
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ACMNA296
Graph simple non-linear relations with and without the use of digital technologies and solve simple related equationsExamples
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ACMNA214
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Measurement and Geometry
- Using units of measurement
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Geometric reasoning
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ACMMG221
Solve problems using ratio and scale factors in similar figuresExamples
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ACMMG221
- Pythagoras and trigonometry
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Statistics and Probability
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Chance
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ACMSP225
List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for eventsExamples
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ACMSP225
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Data representation and interpretation
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ACMSP283
Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spreadExamples
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ACMSP283
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Chance
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Number and Algebra
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Year 10
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Number and Algebra
- Patterns and algebra
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Linear and non-linear relationships
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ACMNA235
Solve problems involving linear equations, including those derived from formulasExamples
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ACMNA239
Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriateExamples
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ACMNA240
Solve linear equations involving simple algebraic fractionsExamples
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ACMNA235
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Measurement and Geometry
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Using units of measurement
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ACMMG242
Solve problems involving surface area and volume for a range of prisms, cylinders and composite solidsExamples
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ACMMG242
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Geometric reasoning
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ACMMG243
Formulate proofs involving congruent triangles and angle propertiesExamples
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ACMMG243
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Using units of measurement
- Statistics and Probability
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Number and Algebra
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Year 10A
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Measurement and Geometry
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Using units of measurement
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ACMMG271
Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solidsExamples
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ACMMG271
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Geometric reasoning
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ACMMG272
Prove and apply angle and chord properties of circlesExamples
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ACMMG272
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Pythagoras and trigonometry
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ACMMG273
Establish the sine, cosine and area rules for any triangle and solve related problemsExamples
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ACMMG273
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Using units of measurement
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Statistics and Probability
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Data representation and interpretation
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ACMSP278
Calculate and interpret the mean and standard deviation of data and use these to compare data setsExamples
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ACMSP278
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Data representation and interpretation
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Measurement and Geometry