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• Mathematics: Level 6 achievement standards

  Number and Algebra

  Students recognise the properties of prime, composite, square and triangular numbers and determine sets of these numbers. They solve problems that involve all four operations with whole numbers and describe the use of integers in everyday contexts. Students locate fractions and...

  Level description | Mathematics | Level 6

• Mathematics: Level B achievement standards

  Number and Algebra

  Students participate in everyday activities that involve numbers and counting, comparing groups of objects, and pattern activities. Students can rote count to three. Students identify ‘one’ and ‘lots’ of objects and show an understanding of ‘more...

  Level description | Mathematics | Level B

• Mathematics: Level 4 description

  In Level 4, students extend the number system to simple decimal fractions, and broaden their use of measures and scales.

  Students model, represent and order numbers to tens of thousands, and extend place value to tenths and hundredths. They investigate odd and even numbers and explore number patterns...

  Level description | Mathematics

• Mathematics Version 2.0: Level 6 achievement standards

  By the end of Level 6, students use integers to represent points on a number line and on the Cartesian plane. They solve problems using the properties of prime, composite, square and triangular numbers. Students order common fractions, giving reasons, and add and subtract fractions with...

  Level description | Mathematics | Mathematics Version 2.0 | Level 6

• Mathematics Version 2.0: Level 4 achievement standards

  By the end of Level 4, students use their understanding of place value to represent tenths and hundredths in decimal form and to multiply natural numbers by multiples of 10. Students use mathematical modelling to solve financial and other practical problems, formulating the problem using...

  Level description | Mathematics | Mathematics Version 2.0 | Level 4

• VC2M5N08

  check and explain the reasonableness of solutions to problems, including financial contexts using estimation strategies appropriate to the context

  Elaborations

  • interpreting a series of contextual problems to decide whether an exact answer or an approximate calculation is appropriate, and explaining their reasoning in relation to the context and the numbers involved
  • recognising the effect of rounding addition, subtraction, multiplication and division calculations, and rounding both numbers up, both numbers down, and one number up and one number down; and explaining which estimation is the best approximation and why
  • considering the type of rounding that is appropriate when estimating the amount of money required; for example, rounding up or rounding down when buying one item from a store using cash, compared to rounding up the cost of every item when buying groceries to estimate the total cost and not rounding when the financial transactions are digital

  VC2M5N08 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• Mathematics Version 2.0: Level 8 achievement standards

  By the end of Level 8, students recognise irrational numbers as numbers that cannot develop from the division of integer values by natural numbers and terminating or recurring decimals. They apply the exponent laws to calculations with numbers involving positive integer exponents. Students...

  Level description | Mathematics | Mathematics Version 2.0 | Level 8

• VC2M10A12

  solve linear equations involving simple algebraic fractions

  Elaborations

  • solving a wide range of linear equations, including those involving one or 2 simple algebraic fractions, and checking solutions by substitution
  • representing word problems, including those involving fractions, as equations and solving them to answer the question

  VC2M10A12 | Mathematics | Mathematics Version 2.0 | Level 10 | Algebra

• VC2M6M03

  measure, calculate and compare elapsed time; interpret and use timetables and itineraries to plan activities and determine the duration of events and journeys

  Elaborations

  • planning a trip involving one or more modes of public transport
  • developing a timetable of daily activities for a planned event, for example, a sports carnival
  • investigating different ways duration is represented in timetables and using different timetables to plan a journey

  VC2M6M03 | Mathematics | Mathematics Version 2.0 | Level 6 | Measurement

• VCMMG202

  Estimate, measure and compare angles using degrees. Construct angles using a protractor

  Elaborations

  • measuring and constructing angles using both 180° and 360° protractors
  • recognising that angles have arms and a vertex, and that size is the amount of turn required for one arm to coincide with the other

  VCMMG202 | Mathematics | Level 5 | Measurement and Geometry | Geometric reasoning

• VCMMG199

  Use a grid reference system to describe locations. Describe routes using landmarks and directional language

  Elaborations

  • comparing aerial views of Country, desert paintings and maps with grid references
  • creating a grid reference system for the classroom and using it to locate objects and describe routes from one object to another

  VCMMG199 | Mathematics | Level 5 | Measurement and Geometry | Location and transformation

• VCMNA340

  Solve linear equations involving simple algebraic fractions

  Elaborations

  • solving a wide range of linear equations, including those involving one or two simple algebraic fractions, and checking solutions by substitution
  • representing word problems, including those involving fractions, as equations and solving them to answer the question

  VCMNA340 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• VCMNA131

  Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems

  Elaborations

  • recognising that 10 000 equals 10 thousands, 100 hundreds, 1000 tens and 10 000 ones
  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations

  VCMNA131 | Mathematics | Level 3 | Number and Algebra | Number and place value

• VCMNA077

  Follow a short sequence of instructions

  Elaborations

  • carrying out a specified sequence of actions to move an object from one location to another
  • playing a simple rule-based game moving a specified number of places according to the result on a die in a chance-based game

  VCMNA077 | Mathematics | Foundation Level | Number and Algebra | Patterns and algebra

• VCMSP205

  Pose questions and collect categorical or numerical data by observation or survey

  Elaborations

  • posing questions about insect diversity in the playground, collecting data by taping a one-metre-square piece of paper to the playground and observing the type and number of insects on it over time

  VCMSP205 | Mathematics | Level 5 | Statistics and Probability | Data representation and interpretation

• VCMSP180

  Evaluate the effectiveness of different displays in illustrating data features including variability

  Elaborations

  • interpreting data representations in the media and other forums in which symbols represent more than one data value
  • suggesting questions that can be answered by a given data display and using the display to answer questions

  VCMSP180 | Mathematics | Level 4 | Statistics and Probability | Data representation and interpretation

• VC2M3M01

  identify which metric units are used to measure everyday items; use measurements of familiar items and known units to make estimates

  Elaborations

  • examining the packaging on supermarket items to determine the metric unit used to describe the mass or volume of the contents
  • identifying items that have a mass of one kilogram or 500 grams, or a capacity of one litre or 500 millilitres, and using these benchmarks to estimate the mass or capacity of other things, explaining their reasoning
  • estimating the height of a tree by comparing it to the height of their friend and quoting the result as ‘The tree is about 3 times as tall’; and estimating the capacity of a fish tank by using a litre milk carton as a benchmark
  • choosing and using metres to estimate the dimensions of the classroom

  VC2M3M01 | Mathematics | Mathematics Version 2.0 | Level 3 | Measurement

• VCMNA070

  Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond

  Elaborations

  • understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are, and that the last number counted answers the ‘how many’ question
  • using scenarios to help students recognise that other cultures count in a variety of ways, such as by placing one pebble in a bag to represent one object. For example to count the number of cattle

  VCMNA070 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA136

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

  Elaborations

  • partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
  • locating unit fractions on a number line
  • recognising that in English the term ‘one third’ is used (order: numerator, denominator) but in other languages, such as Japanese for example, this concept may be expressed as ‘three parts, one of them’ (order: denominator, numerator)

  VCMNA136 | Mathematics | Level 3 | Number and Algebra | Fractions and decimals

• VCMNA056

  Model practical situations involving ‘adding to’ or ‘taking away’ with collections of up to five objects

  Elaborations

  • using shared experiences with concrete materials to combine two groups of objects, and count to find a total
  • counting on or back from a group using concrete materials, for example adding/ subtracting balls in a basket, pens in a container, tools in a tool box
  • using a calculator or digital device to undertake simple addition and subtraction
  • exploring the concept of adding one and taking away one

  VCMNA056 | Mathematics | Level D | Number and Algebra | Number and place value