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• VCMNA058

  Using money in everyday financial situations and matching coins to two dimensional images

  Elaborations

  • matching coins to 2D images
  • using money to pay for goods and services in the community

  VCMNA058 | Mathematics | Level D | Number and Algebra | Money and financial mathematics

• 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

• VCMNA060

  Follow a sequence of steps

  Elaborations

  • using sequence steps to complete an activity
  • representing a sequence of steps using visuals
  • identify options and following steps through everyday situations and events
  • participate in a variety of chance games and experiences

  VCMNA060 | Mathematics | Level D | Number and Algebra | Patterns and algebra

• VCMNA004

  Respond to situations where the comparison of two collections or objects is involved

  Elaborations

  • experiencing objects being collected and grouped together
  • using objects which are personally relevant to create collections
  • reacting to the comparison of everyday objects and collections of objects, for example using one-to-one correspondence to compare art equipment, cooking utensils, balls, sensory objects

  VCMNA004 | Mathematics | Level A | Number and Algebra | Number and place value

• VCMNA008

  Respond to the identification of objects

  Elaborations

  • experiencing patterns and the sorting of objects in everyday situations, for example repeated rhythm, pattern on textured material or objects, sorting of materials and utensils
  • becoming aware of ready-made visual, musical and multimodal patterns, for example, computer programs, stripes, dots, textures, sounds

  VCMNA008 | Mathematics | Level A | Number and Algebra | Patterns and algebra

• VCMNA042

  Pair identical objects from a small collection, and recognise simple repeated patterns

  Elaborations

  • copying a simple repeated pattern using one-to-one correspondence with objects
  • copying a pattern associated with a familiar activity, for example repeating movement pattern
  • using a single given attribute (for example, size, colour, texture, shape) to group objects
  • matching, sorting and organising objects in practical situations

  VCMNA042 | Mathematics | Level C | Number and Algebra | Patterns and algebra

• VCMNA038

  Compare and order two collections according to their quantity

  Elaborations

  • comparing and ordering items using appropriate language of ‘more’, ‘less’, ‘same’
  • using everyday situations of one-to-one correspondence to compare two collections of significantly different amounts
  • using practical situations to indicate ‘more’, ‘less’ or ‘same’

  VCMNA038 | Mathematics | Level C | Number and Algebra | Number and place value

• VCMNA020

  Explore the concept of ‘none’, ‘one’ and ‘more’

  Elaborations

  • recognising a change in a collection’s size within the context of familiar, everyday objects, for example a group of cars, toys, lollies, fruit, vegetables, coins, books, materials or tools
  • demonstrating an understanding of one by selecting, giving or taking one object
  • responding to questions about group composition (for example ‘Which group has more?’ ‘Which group has none?’) verbally or by indicating through augmentative and alternative communication, actions or eye gaze

  VCMNA020 | Mathematics | Level B | Number and Algebra | Number and place value

• VCMNA018

  Use number names ‘one’, ‘two’ and ‘three’ in sequence to count in everyday situations

  Elaborations

  • assisting to count objects initially to three, by participating in activities, stories, songs and rhymes that involve number. This could include nodding as objects are counted, tapping an object as it is counted, tracking objects being counted, repeating some number names as objects are being counted
  • responding to number of names in everyday situations, for example waiting for counting down or up before starting an action, sound, activity; stepping, clapping, making a sound, tapping a switch for each number
  • exploring and using some number names by ‘repeating’ number name either verbally or through a communication system or augmentative and alternative communication (AAC)

  VCMNA018 | Mathematics | Level B | Number and Algebra | Number and place value

• VCMNA003

  Respond to groups of personally relevant objects

  Elaborations

  • experiencing objects and groups of objects, for example through sensory activities
  • experiencing groups of objects of significantly different sizes
  • reacting to collections within the context of everyday familiar situations, for example collections of favourite food, jewellery, utensils, or collections based on colour or texture

  VCMNA003 | Mathematics | Level A | Number and Algebra | Number and place value

• VCMNA035

  Use number names in sequence to count in everyday situations, initially from one to five

  Elaborations

  • developing fluency in forward counting to five using words, sign or augmentative and alternative communication (AAC) in meaningful contexts, including everyday experiences and stories
  • knowing that the forward sequence of counting words occurs in the same order, for example always communicating numbers in the same sequence, indicating when another person uses number names in the wrong sequence
  • developing one-to-one correspondence by recognising that each object is counted, by indicating an object during counting situations, for example, indicating by pointing, activating a switch or eye gaze

  VCMNA035 | Mathematics | Level C | Number and Algebra | Number and place value

• 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

• VCMNA053

  Recognise number name, numerals and quantities, initially up to five and beyond

  Elaborations

  • responding to key vocabulary and questions about ‘how many’
  • using one-to-one matching of number words, sign or augmentative and alternative communication (AAC) representation for objects to five
  • matching numerals to the correct number of items initially to five using number games, software, cards and everyday situations

  VCMNA053 | Mathematics | Level D | Number and Algebra | Number and place value

• VCMNA055

  Compare, order and make comparisons between two collections, according to their quantity, using numbers initially to five

  Elaborations

  • comparing and ordering collections using the appropriate language and number name
  • comparing and communicating about characteristics of groups, for example sequencing objects in a group from smallest to largest; indicating the larger/smaller group through gesture, verbally or augmentative and alternative communication (AAC)

  VCMNA055 | Mathematics | Level D | Number and Algebra | Number and place value

• VCMNA005

  Respond to the removal and addition of familiar items and objects in practical situations

  Elaborations

  • experiencing changes in quantity that occur during addition and subtraction within everyday experiences
  • attending to the adding and subtraction of familiar objects
  • reacting to changes in a collection when objects are added or subtracted

  VCMNA005 | Mathematics | Level A | Number and Algebra | Number and place value

• VCMNA037

  Identify groups as being ‘one’, ‘more’ or ‘less’

  Elaborations

  • indicating the larger of two groups when presented with groups of significantly different number sets, for example group of paints, lollies, tools, dots, blocks, counters

  VCMNA037 | Mathematics | Level C | Number and Algebra | Number and place value

• VC2M8P03

  conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results

  Elaborations

  • using digital tools to conduct probability simulations involving compound events
  • using a random number generator and digital tools to simulate rolling 2 dice and calculating the difference between them, investigating what difference is likely to occur more often
  • using online simulation software to conduct probability simulations to determine in the long run if events are complementary

  VC2M8P03 | Mathematics | Mathematics Version 2.0 | Level 8 | Probability

• VC2M8P02

  determine all possible outcome combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific events in practical situations

  Elaborations

  • describing events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’
  • using the relation Pr(A and B) + Pr(A and not B) + Pr(not A and B) + Pr(not A and not B) = 1 to calculate probabilities, including the special case of mutually exclusive events where Pr(A and B) = 0
  • using Venn diagrams or two-way tables to demonstrate the difference between events that are mutually exclusive, such as whether a coin toss will land on a head or a tail, and those that are not mutually exclusive, such as people who have blonde hair and people who have blue eyes
  • exploring Aboriginal and/or Torres Strait Islander children’s instructive games, for example, Battendi from the Ngarrindjeri Peoples of Lake Murray and Lake Albert in southern Australia, applying possible combinations and relationships and calculating probabilities using two-way tables and Venn diagrams

  VC2M8P02 | Mathematics | Mathematics Version 2.0 | Level 8 | Probability

• VC2M10P02

  describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events; investigate the concept of independence

  Elaborations

  • recognising that a subsequent event can be dependent, and that this will affect the way its probability is calculated, for example, cards chosen from a standard deck without replacement, conditional selection problems from a fixed sample size, or the Bertrand’s box paradox

  VC2M10P02 | Mathematics | Mathematics Version 2.0 | Level 10 | Probability

• VC2M7P01

  identify the sample space for single-stage experiments; assign probabilities to the possible outcomes and predict relative frequencies for related experiments.

  Elaborations

  • discussing the meaning of probability terminology, for example, ‘probability’, ‘sample space’, ‘favourable outcome’, ‘trial’, ‘experiment’ and ‘event’
  • listing sample spaces for games involving throwing a coin or a dice, spinners, or lucky dip
  • assigning the probability for throwing a 6 on a dice and using this to predict the number of times a 6 will occur when a dice is thrown multiple times

  VC2M7P01 | Mathematics | Mathematics Version 2.0 | Level 7 | Probability