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• VC2M7N10

  use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts such as ‘best buys’; formulate problems, choosing representations and efficient calculation strategies, designing algorithms and using digital tools as appropriate; interpret...

  Elaborations

  • modelling additive situations involving positive and negative quantities; for example, a lift travelling up and down floors in a high-rise apartment where the ground floor is interpreted as zero, or in geography when determining altitude above and below sea level
  • modelling contexts involving proportion, such as the proportion of students attending the school disco, proportion of the bottle cost to the recycling refund, proportion of the school site that is green space, 55% of Year 7 students attended the end of term function or 23% of the school population voted ‘yes’ to a change of school uniform; and interpreting and communicating answers in terms of the context of the situation
  • modelling financial problems involving profit and loss, credits and debits, gains and losses; for example, holding a fundraising sausage sizzle and determining whether the event made a percentage profit or loss
  • finding the sum of a set of consecutive numbers using a loop structure
  • constructing geometric patterns such as a honeycomb, using dynamic geometry functionality
  • using mathematical modelling to investigate the proportion of land mass/area of Aboriginal Peoples’ traditional grain belt compared with Australia’s current grain belt

  VC2M7N10 | Mathematics | Mathematics Version 2.0 | Level 7 | Number

• VCMNA153

  Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems

  Elaborations

  • recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens

  VCMNA153 | Mathematics | Level 4 | Number and Algebra | Number and place value

• 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

• VC2M3N04

  add and subtract two- and three-digit numbers using place value to partition, rearrange and regroup numbers to assist in calculations without a calculator

  Elaborations

  • using partitioning and part-part-whole models and the inverse relationship between addition and subtraction to solve addition or subtraction problems, making informal written ‘jottings’ to keep track of the numbers if necessary
  • using physical or virtual grouped materials or diagrams to make proportional models of numbers to assist in calculations, for example, to calculate 214 + 325, representing 214 as 2 groups of 100, one group of 10 and 4 ones and 325 as 3 groups of 100, 2 groups of 10 and 5 ones, resulting in 5 groups of 100, 3 groups of 10 and 9 ones, which is 539
  • choosing between standard and non-standard place value partitions to assist with calculations, for example, to solve 485 + 365, thinking of 365 as 350 + 15, then adding the parts, 485 + 15 = 500, 500 + 350 = 850
  • solving subtraction problems efficiently by adding or subtracting a constant amount to both numbers to create an easier calculation; for example, 534 − 395, adding 5 to both numbers to make 539 − 400 = 139
  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations when solving problems
  • applying knowledge of place value to assist in calculations when solving problems involving larger numbers; for example, calculating the total crowd numbers for an agricultural show that lasts a week

  VC2M3N04 | Mathematics | Mathematics Version 2.0 | Level 3 | Number

• VCMMG078

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

  Elaborations

  • comparing objects directly, by placing one object against another to determine which is longer or by pouring from one container into the other to see which one holds more
  • using suitable language associated with measurement attributes, such as ‘tall’ and ‘taller’, ‘heavy’ and ‘heavier’, ‘holds more’ and ‘holds less’

  VCMMG078 | Mathematics | Foundation Level | Measurement and Geometry | Using units of measurement

• VCMNA304

  Solve problems involving simple interest

  Elaborations

  • understanding that financial decisions can be assisted by mathematical calculations

  VCMNA304 | Mathematics | Level 9 | Number and Algebra | Money and financial mathematics

• VCMSP050

  Follow simple instructions to sort objects into a simple data display

  Elaborations

  • making and collecting people’s choices and assisting to collate these in a data display based on set options
  • match responses to establish groups to assist in collating data

  VCMSP050 | Mathematics | Level C | Statistics and Probability | Data representation and interpretation

• Mathematics | Mathematics: Scope and Sequence

  The curriculum sets out what students are expected to learn and is designed as a continuum of learning. The curriculum is being presented in a scope and sequence chart to support teachers to easily see the progression and assist in planning teaching and learning programs to meet the diverse...

  Overview material | Mathematics

• VC2M7A04

  investigate, interpret and describe relationships between variables represented in graphs of functions developed from authentic data

  Elaborations

  • using graphs to analyse a building’s electricity or gas usage over a period of time, the value of shares on a stock market, or the temperature during a day, interpreting and discussing the relationships they represent
  • using travel graphs to compare the distance travelled to and from school, interpreting and discussing features of travel graphs such as the slope of lines and the meaning of horizontal line segments
  • telling the story behind what is being represented in graphs of functions, for example, graphs representing pouring rates or distance versus time
  • using graphs of evaporation rates to explore and discuss Aboriginal and Torres Strait Islander Peoples’ methods of water resource management

  VC2M7A04 | Mathematics | Mathematics Version 2.0 | Level 7 | Algebra

• VCMNA006

  React to practical situations of sharing

  Elaborations

  • experiencing objects being distributed and assisting to distribute objects to others in everyday situations
  • reacting to objects being shared and distributed

  VCMNA006 | Mathematics | Level A | Number and Algebra | Number and place value

• VCMNA023

  Respond to everyday practical situations of sharing

  Elaborations

  • responding to the prompt to “share” by giving an object to another
  • assisting to hand out materials so everyone has the same materials

  VCMNA023 | Mathematics | Level B | Number and Algebra | Number and place value

• VCMNA043

  Identify repeated routines and sequences in everyday events

  Elaborations

  • follow and assist to represent a sequence of steps
  • follow a simple decision (algorithm) to solve a everyday problem
  • participate in a cause and effects activities, games and events

  VCMNA043 | Mathematics | Level C | Number and Algebra | Patterns and algebra

• VCMSP049

  Identify data relevant to a given context

  Elaborations

  • assisting to collect information to answer a question, for example, what colours are the counters in the box
  • following simple instructions to sort objects for a data display

  VCMSP049 | Mathematics | Level C | Statistics and Probability | Data representation and interpretation

• VCMSP067

  Collect and display data in response to a question using materials

  Elaborations

  • representing responses to everyday situations with everyday objects into data displays
  • collate responses to a question into groups
  • match responses which are the same to assist in data collation

  VCMSP067 | Mathematics | Level D | Statistics and Probability | Data representation and interpretation

• VC2M1M01

  compare directly and indirectly and order objects and events using attributes of length, mass, capacity and duration, communicating reasoning

  Elaborations

  • using a piece of string to indirectly compare the length of several objects, deciding which will fit within a space, and using comparative language to describe the order (shortest, short, longer, longest)
  • ordering the mass of 3 or more objects, such as rocks, using hefting and balance scales, and using comparative language to explain the order (lightest, light, heavier, heaviest) and how they decided on the order
  • pouring sand, rice or water from one container to another to compare and order the capacity of 3 or more containers, and describing the order of the results in terms of which holds the most/least and those in between
  • creating sand timers from everyday items or recycled materials and comparing them to order the duration of time required for the sand to run through
  • investigating situations where Aboriginal and/or Torres Strait Islander Peoples estimate, compare and communicate measurements, for example, situations involving the duration of seasons, understanding animal behaviour using the length of animal tracks, or investigating capacity through Aboriginal and/or Torres Strait Islander water management techniques, such as traditional water-carrying vessels and rock holes

  VC2M1M01 | Mathematics | Mathematics Version 2.0 | Level 1 | Measurement

• VCMMG046

  Identify the familiar events within the day using a visual schedule

  Elaborations

  • identifying daily events through materials, visuals and objects provided
  • identifying daily events with the assistance of visual or tactile schedules and timetables
  • identifying events that may or may not happen today

  VCMMG046 | Mathematics | Level C | Measurement and Geometry | Using units of measurement

• VCMSP033

  Participate in the grouping of data

  Elaborations

  • answering a yes/no question and assisting to place their response in a data display
  • experiencing the representation of everyday situations and choices in simple date displays
  • match a response to a given category

  VCMSP033 | Mathematics | Level B | Statistics and Probability | Data representation and interpretation

• 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 Version 2.0: Level 2 achievement standards

  By the end of Level 2, students order and represent numbers to at least 1000; apply knowledge of place value to partition, rearrange and rename two- and three-digit numbers in terms of their parts; and regroup partitioned numbers to assist in calculations. They use mathematical modelling...

  Level description | Mathematics | Mathematics Version 2.0 | Level 2

• VCMMG028

  Recognise and participate in familiar events that happen on a daily basis

  Elaborations

  • recognising the sequence of familiar events, for example ‘first and then’, with the support of picture-based schedules
  • understanding and using environmental cues such as equipment, staff and location to predict and identify activities
  • assisting in the construction of visual timetable for the class
  • responding to the signal from a timer to indicate the end of an activity

  VCMMG028 | Mathematics | Level B | Measurement and Geometry | Using units of measurement