Mathematics
Outcomes

Foundation Year

Number and Algebra

Number and place value

VCMNA069
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

VCMNA070
Connect number names, numerals and quantities, including zero, initially up to 10 and then beyondPlay Activities 290Examples

VCMNA071
Subitise small collections of objectsExamples

VCMNA072
Compare, order and make correspondences between collections, initially to 20, and explain reasoningPlay Activities 102Examples

VCMNA073
Represent practical situations to model addition and sharingPlay Activities 149Examples

VCMNA069

Patterns and algebra

VCMNA076
Sort and classify familiar objects and explain the basis for these classifications, and copy, continue and create patterns with objects and drawingsExamples

VCMNA076

Number and place value

Measurement and Geometry

Using units of measurement

VCMMG078
Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explain reasoning in everyday languageExamples

VCMMG079
Compare and order the duration of events using the everyday language of timeExamples

VCMMG080
Connect days of the week to familiar events and actionsExamples

VCMMG078

Using units of measurement

Location and transformation

Location and transformation

VCMMG082
Describe position and movementExamples

VCMMG082

Location and transformation

Number and Algebra

Year 1

Number and Algebra

Number and place value

VCMNA086
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

VCMNA087
Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number linePlay Activities 295Examples

VCMNA088
Count collections to 100 by partitioning numbers using place valuePlay Activities 133Examples

VCMNA089
Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging partsPlay Activities 757Examples

VCMNA086

Fractions and decimals

VCMNA091
Recognise and describe onehalf as one of two equal parts of a whole.Examples

VCMNA091

Patterns and algebra

VCMNA093
Investigate and describe number patterns formed by skip counting and patterns with objectsExamples

VCMNA093

Number and place value

Measurement and Geometry
 Using units of measurement

Shape

VCMMG098
Recognise and classify familiar twodimensional shapes and threedimensional objects using obvious featuresExamples

VCMMG098

Location and transformation

VCMMG099
Give and follow directions to familiar locationsExamples

VCMMG099

Statistics and Probability

Data representation and interpretation

VCMSP102
Represent data with objects and drawings where one object or drawing represents one data value. Describe the displaysExamples

VCMSP102

Data representation and interpretation

Number and Algebra

Year 2

Number and Algebra

Number and place value

VCMNA103
Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences.Examples

VCMNA104
Recognise, model, represent and order numbers to at least 1000Examples

VCMNA105
Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient countingExamples

VCMNA106
Explore the connection between addition and subtractionPlay Activities 176Examples

VCMNA107
Solve simple addition and subtraction problems using a range of efficient mental and written strategiesPlay Activities 456Examples

VCMNA108
Recognise and represent multiplication as repeated addition, groups and arraysExamples

VCMNA109
Recognise and represent division as grouping into equal sets and solve simple problems using these representationsExamples

VCMNA103

Fractions and decimals

VCMNA110
Recognise and interpret common uses of halves, quarters and eighths of shapes and collectionsExamples

VCMNA110

Money and financial mathematics

VCMNA111
Count and order small collections of Australian coins and notes according to their valueExamples

VCMNA111

Patterns and algebra

VCMNA112
Describe patterns with numbers and identify missing elementsExamples

VCMNA112

Number and place value
 Measurement and Geometry

Statistics and Probability

Data representation and interpretation

VCMSP128
Create displays of data using lists, table and picture graphs and interpret themExamples

VCMSP128

Data representation and interpretation

Number and Algebra

Year 3

Number and Algebra

Number and place value

VCMNA129
Investigate the conditions required for a number to be odd or even and identify odd and even numbersExamples

VCMNA130
Recognise, model, represent and order numbers to at least 10 000Examples

VCMNA131
Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problemsPlay Activities 117Examples

VCMNA132
Recognise and explain the connection between addition and subtractionPlay Activities 268Examples

VCMNA133
Recall addition facts for singledigit numbers and related subtraction facts to develop increasingly efficient mental strategies for computationPlay Activities 486Examples

VCMNA134
Recall multiplication facts of two, three, five and ten and related division factsPlay Activities 526Examples

VCMNA135
Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologiesPlay Activities 224Examples

VCMNA129

Fractions and decimals

VCMNA136
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete wholeExamples

VCMNA136

Money and financial mathematics

VCMNA137
Represent money values in multiple ways and count the change required for simple transactions to the nearest five centsExamples

VCMNA137

Patterns and algebra

VCMNA138
Describe, continue, and create number patterns resulting from performing addition or subtractionExamples

VCMNA138

Number and place value

Measurement and Geometry
 Using units of measurement

Shape

VCMMG142
Make models of threedimensional objects and describe key featuresExamples

VCMMG142

Location and transformation

VCMMG143
Create and interpret simple grid maps to show position and pathwaysExamples

VCMMG143

Geometric reasoning

VCMMG146
Identify angles as measures of turn and compare angle sizes in everyday situationsExamples

VCMMG146
 Statistics and Probability

Number and Algebra

Year 4

Number and Algebra

Number and place value

VCMNA152
Recognise, represent and order numbers to at least tens of thousandsExamples

VCMNA154
Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9Examples

VCMNA155
Recall multiplication facts up to 10 10 and related division factsPlay Activities 422Examples

VCMNA153
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problemsPlay Activities 151Examples

VCMNA156
Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainderPlay Activities 384Examples

VCMNA152

Fractions and decimals

VCMNA157
Investigate equivalent fractions used in contextsExamples

VCMNA158
Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number lineExamples

VCMNA159
Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notationExamples

VCMNA157

Money and financial mathematics

VCMNA160
Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologiesExamples

VCMNA160

Patterns and algebra

VCMNA163
Use equivalent number sentences involving addition and subtraction to find unknown quantitiesPlay Activities 150Examples

VCMNA163

Number and place value

Measurement and Geometry

Using units of measurement

VCMMG165
Use scaled instruments to measure and compare lengths, masses, capacities and temperaturesExamples

VCMMG166
Compare objects using familiar metric units of area and volumeExamples

VCMMG167
Convert between units of timeExamples

VCMMG168
Use am and pm notation and solve simple time problemsExamples

VCMMG165
 Shape
 Location and transformation

Geometric reasoning

VCMMG174
Compare angles and classify them as equal to, greater than or less than a right angleExamples

VCMMG174

Using units of measurement

Statistics and Probability

Data representation and interpretation

VCMSP179
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

VCMSP179

Data representation and interpretation

Number and Algebra

Year 5

Number and Algebra

Number and place value

VCMNA181
Identify and describe factors and multiples of whole numbers and use them to solve problemsExamples

VCMNA182
Use estimation and rounding to check the reasonableness of answers to calculationsPlay Activities 171Examples

VCMNA183
Solve problems involving multiplication of large numbers by one or twodigit numbers using efficient mental, written strategies and appropriate digital technologiesExamples

VCMNA184
Solve problems involving division by a one digit number, including those that result in a remainderPlay Activities 107Examples

VCMNA185
Use efficient mental and written strategies and apply appropriate digital technologies to solve problemsPlay Activities 646Examples

VCMNA181
 Fractions and decimals
 Patterns and algebra

Number and place value

Measurement and Geometry

Using units of measurement

VCMMG195
Choose appropriate units of measurement for length, area, volume, capacity and massExamples

VCMMG196
Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric unitsExamples

VCMMG197
Compare 12 and 24hour time systems and convert between themExamples

VCMMG195

Shape

VCMMG198
Connect threedimensional objects with their nets and other twodimensional representationsExamples

VCMMG198
 Location and transformation

Geometric reasoning

VCMMG202
Estimate, measure and compare angles using degrees. Construct angles using a protractorExamples

VCMMG202

Using units of measurement
 Statistics and Probability

Number and Algebra

Year 6

Number and Algebra

Number and place value

VCMNA208
Identify and describe properties of prime, composite, square and triangular numbersExamples

VCMNA209
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computationsPlay Activities 1151Examples

VCMNA208

Fractions and decimals

VCMNA211
Compare fractions with related denominators and locate and represent them on a number lineExamples

VCMNA212
Solve problems involving addition and subtraction of fractions with the same or related denominatorsExamples

VCMNA213
Find a simple fraction of a quantity where the result is a whole number, with and without digital technologiesExamples

VCMNA214
Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answersPlay Activities 328Examples

VCMNA215
Multiply decimals by whole numbers and perform divisions by nonzero whole numbers where the results are terminating decimals, with and without digital technologiesPlay Activities 174Examples

VCMNA216
Multiply and divide decimals by powers of 10Examples

VCMNA217
Make connections between equivalent fractions, decimals and percentagesExamples

VCMNA211

Money and financial mathematics

VCMNA218
Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologiesExamples

VCMNA218
 Patterns and algebra

Number and place value

Measurement and Geometry

Using units of measurement

VCMMG222
Connect decimal representations to the metric systemPlay Activities 136Examples

VCMMG223
Convert between common metric units of length, mass and capacityPlay Activities 192Examples

VCMMG224
Solve problems involving the comparison of lengths and areas using appropriate unitsExamples

VCMMG225
Connect volume and capacity and their units of measurementExamples

VCMMG226
Interpret and use timetablesExamples

VCMMG222

Shape

VCMMG228
Construct simple prisms and pyramidsExamples

VCMMG228
 Location and transformation

Geometric reasoning

VCMMG231
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

VCMMG231

Using units of measurement
 Statistics and Probability

Number and Algebra

Year 7

Number and Algebra

Number and place value

VCMNA238
Investigate index notation and represent whole numbers as products of powers of prime numbersExamples

VCMNA239
Investigate and use square roots of perfect square numbersExamples

VCMNA240
Apply the associative, commutative and distributive laws to aid mental and written computation and make estimates for these computationsPlay Activities 109Examples

VCMNA241
Compare, order, add and subtract integersExamples

VCMNA238

Real numbers

VCMNA242
Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number lineExamples

VCMNA243
Solve problems involving addition and subtraction of fractions, including those with unrelated denominatorsExamples

VCMNA244
Multiply and divide fractions and decimals using efficient written strategies and digital technologiesPlay Activities 148Examples

VCMNA245
Express one quantity as a fraction of another, with and without the use of digital technologiesPlay Activities 112Examples

VCMNA246
Round decimals to a specified number of decimal placesExamples

VCMNA247
Connect fractions, decimals and percentages and carry out simple conversionsPlay Activities 128Examples

VCMNA248
Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.Examples

VCMNA249
Recognise and solve problems involving simple ratiosPlay Activities 160Examples

VCMNA242

Money and financial mathematics

VCMNA250
Investigate and calculate 'best buys', with and without digital technologiesExamples

VCMNA250

Patterns and algebra

VCMNA251
Introduce the concept of variables as a way of representing numbers using lettersExamples

VCMNA252
Create algebraic expressions and evaluate them by substituting a given value for each variableExamples

VCMNA253
Extend and apply the laws and properties of arithmetic to algebraic terms and expressionsExamples

VCMNA251
 Linear and nonlinear relationships

Number and place value

Measurement and Geometry
 Using units of measurement

Shape

VCMMG260
Draw different views of prisms and solids formed from combinations of prismsExamples

VCMMG260

Location and transformation

VCMMG261
Describe translations, reflections in an axis, and rotations of multiples of 90 degrees on the Cartesian plane using coordinates. Identify line and rotational symmetriesExamples

VCMMG261

Geometric reasoning

VCMMG264
Identify corresponding, alternate and cointerior angles when two straight lines are crossed by a transversalExamples

VCMMG265
Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoningExamples

VCMMG263
Demonstrate that the angle sum of a triangle is 180 degrees and use this to find the angle sum of a quadrilateralExamples

VCMMG262
Classify triangles according to their side and angle properties and describe quadrilateralsExamples

VCMMG264

Statistics and Probability
 Chance

Data representation and interpretation

VCMSP269
Construct and compare a range of data displays including stemandleaf plots and dot plotsExamples

VCMSP270
Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of dataExamples

VCMSP271
Describe and interpret data displays using median, mean and rangeExamples

VCMSP269

Number and Algebra

Year 8

Number and Algebra

Number and place value

VCMNA272
Use index notation with numbers to establish the index laws with positive integral indices and the zero indexExamples

VCMNA273
Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies and make estimates for these computationsPlay Activities 262Examples

VCMNA272

Real numbers

VCMNA275
Investigate the concept of irrational numbers, including piExamples

VCMNA276
Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologiesExamples

VCMNA277
Solve a range of problems involving rates and ratios, including distancetime problems for travel at a constant speed, with and without digital technologiesPlay Activities 113Examples

VCMNA275

Money and financial mathematics

VCMNA278
Solve problems involving profit and loss, with and without digital technologiesExamples

VCMNA278
 Patterns and algebra
 Linear and nonlinear relationships

Number and place value

Measurement and Geometry

Using units of measurement

VCMMG286
Choose appropriate units of measurement for area and volume and convert from one unit to anotherExamples

VCMMG287
Find perimeters and areas of parallelograms, trapeziums, rhombuses and kitesExamples

VCMMG288
Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving determining radius, diameter, circumference and area from each otherExamples

VCMMG289
Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volumeExamples

VCMMG286
 Geometric reasoning

Using units of measurement

Statistics and Probability

Data representation and interpretation

VCMSP300
Investigate the effect of individual data values , including outliers, on the range, mean and medianExamples

VCMSP300

Data representation and interpretation

Number and Algebra

Year 9

Number and Algebra
 Real numbers

Money and financial mathematics

VCMNA304
Solve problems involving simple interestExamples

VCMNA304
 Patterns and algebra

Linear and nonlinear relationships

VCMNA308
Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing softwareExamples

VCMNA309
Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing softwareExamples

VCMNA310
Sketch linear graphs using the coordinates of two points and solve linear equationsExamples

VCMNA311
Graph simple nonlinear relations with and without the use of digital technologies and solve simple related equationsExamples

VCMNA308

Measurement and Geometry
 Using units of measurement

Geometric reasoning

VCMMG317
Solve problems using ratio and scale factors in similar figuresExamples

VCMMG317
 Pythagoras and trigonometry

Statistics and Probability

Chance

VCMSP321
List all outcomes for twostep chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for eventsExamples

VCMSP321

Data representation and interpretation

VCMSP326
Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spreadExamples

VCMSP326

Chance

Number and Algebra

Year 10

Number and Algebra
 Patterns and algebra

Linear and nonlinear relationships

VCMNA335
Solve problems involving linear equations, including those derived from formulasExamples

VCMNA339
Explore the connection between algebraic and graphical representations of relations such as simple quadratic, reciprocal, circle and exponential, using digital technology as appropriateExamples

VCMNA340
Solve linear equations involving simple algebraic fractionsExamples

VCMNA335

Measurement and Geometry

Using units of measurement

VCMMG343
Solve problems involving surface area and volume for a range of prisms, cylinders and composite solidsExamples

VCMMG343

Geometric reasoning

VCMMG344
Formulate proofs involving congruent triangles and angle propertiesExamples

VCMMG344

Using units of measurement
 Statistics and Probability

Number and Algebra

Year 10A

Measurement and Geometry

Using units of measurement

VCMMG365
Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solidsExamples

VCMMG365

Geometric reasoning

VCMMG366
Prove and apply angle and chord properties of circlesExamples

VCMMG366

Pythagoras and trigonometry

VCMMG367
Establish the sine, cosine and area rules for any triangle and solve related problemsExamples

VCMMG367

Using units of measurement

Statistics and Probability

Data representation and interpretation

VCMSP372
Calculate and interpret the mean and standard deviation of data and use these to compare data sets. Investigate the effect of individual data values including outliers, on the standard deviationExamples

VCMSP372

Data representation and interpretation

Measurement and Geometry