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• 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 zero

  Elaborations

  • using the popular Korean counting game sam-yuk-gu for skip counting
  • developing fluency with forwards and backwards counting in meaningful contexts such as circle games

  VCMNA086 | Mathematics | Level 1 | Number and Algebra | Number and place value

• Mathematics: Level C description

  In Level C, students demonstrate awareness in practical situations, connecting objects, numbers names and numerals from one to three, using ‘one more than’ and ‘one less than’.

  They match like objects, describe differences between objects for given attribute, show familiarity...

  Level description | Mathematics

• VC2M8A02

  graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

  Elaborations

  • recognising that in a table of values, if the first difference between consecutive values of the dependent variable is constant, then it is a linear relation
  • graphing linear functions and relations of the form x=a , y=a , x ≤a , x>a , y ≤a , y>a on the Cartesian plane for known values of a
  • completing a table of values, plotting the resulting points on the Cartesian plane and determining whether the relationship is linear
  • graphing the linear relationship ax+b=c for given values of a, b and c and identifying from the graph where ax+b <c or where ax+b >c
  • solving linear equations of the form ax+b=c and one-variable inequalities of the form ax+b <c or ax+b >c where a > 0 using inverse operations and digital tools, and checking solutions by substitution
  • solving linear equations such as 3x+7=6x-9 , representing these graphically, and verifying solutions by substitution

  VC2M8A02 | Mathematics | Mathematics Version 2.0 | Level 8 | Algebra

• VC2M5N06

  solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient mental and written calculation strategies and using digital tools where appropriate; check the reasonableness of answers

  Elaborations

  • solving multiplication problems such as 253 × 4 using a doubling strategy, for example, 2 × 253 = 506 and 2 × 506 = 1012
  • solving multiplication problems like 15 × 16 by thinking of factors of both numbers, 15 = 3 × 5, 16 = 2 × 8, and rearranging the factors to make the calculation easier, 5 × 2 = 10, 3 × 8 = 24 and 10 × 24 = 240
  • using an array to show place value partitioning to solve multiplication, such as 324 × 8, thinking 300 × 8 = 2400, 20 × 8 = 160, 4 × 8 = 32 then adding the parts, 2400 + 160 + 32 = 2592; and connecting the parts of the array to a standard written algorithm
  • using different strategies used to multiply numbers, and explaining how they work and if they have any limitations; for example, discussing how the Japanese visual method for multiplication is not effective for multiplying larger numbers

  VC2M5N06 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VC2M5N01

  interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

  Elaborations

  • making models of decimals including tenths, hundredths and thousandths by subdividing materials or grids, and explaining the multiplicative relationship between consecutive places; for example, explaining that thousandths are 10 times smaller than hundredths, or writing numbers into a place value chart to compare and order them
  • renaming decimals to assist with mental computation; for example, when asked to solve 0.6 ÷ 10 they rename 6 tenths as 60 hundredths and say, ‘If I divide 60 hundredths by 10, I get 6 hundredths’ and write 0.6 ÷ 10 = 0.06
  • using a number line or number track to represent and locate decimals with varying numbers of decimal places and numbers greater than one and justifying the placement; for example, 2.335 is halfway between 2.33 and 2.34, that is, 2.33 < 2.335 < 2.34, and 5.283 is between 5.28 and 5.29 but closer to 5.28
  • interpreting and comparing the digits in decimal measures, for example, the length or mass of animals or plants, such as a baby echidna weighing 1.78 kilograms and a platypus weighing 1.708 kilograms
  • interpreting plans or diagrams showing length measures as decimals, placing the numbers into a decimal place value chart to connect the digits to their value

  VC2M5N01 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• 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 values

  Elaborations

  • exploring ways of presenting data and showing the results of investigations
  • investigating data displays using many-to-one correspondence

  VCMSP179 | Mathematics | Level 4 | Statistics and Probability | Data representation and interpretation

• VC2M4ST01

  acquire data for categorical and discrete numerical variables to address a question of interest or purpose using digital tools; represent data using many-to-one pictographs, column graphs and other displays or visualisations; interpret and discuss the information that has been created

  Elaborations

  • investigating many-to-one data displays using digital tools and graphical software, interpreting and discussing key features
  • understanding that data can be represented with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgements
  • constructing graphs of data collected through observation during science experiments, recording, interpreting and discussing the results in terms of the scientific study
  • acquiring samples of data using practical activities, observations or repeated chance experiments; recording data using tally charts, digital tables or spreadsheets; and graphing, discussing and comparing the results using a column graph
  • using secondary data of fire burns to construct data displays that assist Aboriginal and/or Torres Strait Islander ranger groups and other groups to care for Country/Place

  VC2M4ST01 | Mathematics | Mathematics Version 2.0 | Level 4 | Statistics

• Mathematics | Mathematics: Resources

  A range of resources to assist with implementing the Victorian Curriculum F – 10 are available. Please visit the following websites to access these resources (links open in a new window):

  • Victorian Curriculum F – 10 Resources and Support (VCAA)

  Includes general advice and information...

  Overview material | Mathematics

• Mathematics: Level B description

  In Level B, students participate in everyday activities involving making simple correspondences between objects, and explore qualitative, quantitative and comparative concepts in action and language such as none, one, more, same, different, again and gather.

  They recognise regularity in some events...

  Level description | Mathematics

• Mathematics: Level D description

  In Level D, students actively use concrete models to represent number in various situations, and use number names when comparing, counting, ordering, adding to or taking away from sets of one to five objects.

  They form the initial terms of basic patterns and identify and sequence regular daily...

  Level description | Mathematics

• Mathematics Version 2.0: Level 5 achievement standards

  By the end of Level 5, students use place value to write and order decimals including decimals greater than one. They express natural numbers as products of factors and identify multiples and divisors. Students order and represent, add and subtract fractions with the same or related denominators...

  Level description | Mathematics | Mathematics Version 2.0 | Level 5

• VCMNA040

  Sharing materials in practical situations

  Elaborations

  • using one to one correspondence to distribute materials evenly
  • exploring the distribution of a group of concrete materials into different numbers of groups

  VCMNA040 | Mathematics | Level C | Number and Algebra | Number and place value

• VCMNA057

  Sharing material in practical situations so everyone has the same amount

  Elaborations

  • using one to one correspondence to share materials equally
  • exploring stories and everyday situations which require sharing and the distributing of materials

  VCMNA057 | Mathematics | Level D | Number and Algebra | Number and place value

• VCMSP128

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

  Elaborations

  • creating picture graphs to represent data using one-to-one correspondence
  • comparing the usefulness of different data displays

  VCMSP128 | Mathematics | Level 2 | Statistics and Probability | Data representation and interpretation

• VCMSP034

  Experiencing data being used for decision making in everyday situations

  Elaborations

  • experiencing data being totalled and read
  • experiencing data being used to identify the most popular choice and to make decisions on choices such as the type of transport they will use, animals they will visit first at the zoo, what book the class will read

  VCMSP034 | Mathematics | Level B | Statistics and Probability | Data representation and interpretation

• Mathematics: Foundation Level description

  In Foundation level, students play with objects and draw pictures to develop links between their immediate environment, everyday language and mathematical activity.

  Students classify and sort objects into sets and form simple correspondences between them. They decide when two sets are of equal...

  Level description | Mathematics

• VCMNA213

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

  Elaborations

  • recognising that finding one third of a quantity is the same as dividing by 3

  VCMNA213 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA151

  Investigate and use the properties of odd and even numbers

  Elaborations

  • using the four operations with pairs of odd or even numbers or one odd and one even number, then using the relationships established to check the accuracy of calculations

  VCMNA151 | Mathematics | Level 4 | Number and Algebra | Number and place value

• Mathematics: Level A achievement standards

  Number and Algebra

  Students observe the use of number within their daily life. They begin to respond to numbers in everyday experiences. Students demonstrate awareness of counting by responding to number rhymes, songs, stories and finger games. They experience and respond to ‘one for you,...

  Level description | Mathematics | Level A

• Mathematics: Level D achievement standards

  Number and Algebra

  Students connect number names and numerals with sets of up to 10 elements. They match individual objects with counting sequences up to and back from 10. They recognise and point to numerals in and around the classroom, for example, numbers on a clock face. Students use concrete...

  Level description | Mathematics | Level D