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• VCMMG123

  Investigate the effect of one-step slides and flips with and without digital technologies

  Elaborations

  • understanding that objects can be moved but changing position does not alter an object’s size or features

  VCMMG123 | Mathematics | Level 2 | Measurement and Geometry | Location and transformation

• VCMMG118

  Name and order months and seasons

  Elaborations

  • investigating the seasons used by Aboriginal people, comparing them to those used in Western society and recognising the connection to weather patterns.

  VCMMG118 | Mathematics | Level 2 | Measurement and Geometry | Using units of measurement

• VCMNA110

  Recognise and interpret common uses of halves, quarters and eighths of shapes and collections

  Elaborations

  • recognising that sets of objects can be partitioned in different ways to demonstrate fractions
  • relating the number of parts to the size of a fraction

  VCMNA110 | Mathematics | Level 2 | Number and Algebra | Fractions and decimals

• Mathematics Version 2.0: Level 2 description

  In Level 2, learning in Mathematics builds on each student’s prior learning and experiences, including the learning opportunities acquired through the implementation of the Victorian Early Years Learning and Development Framework (VEYLDF). Students engage in a range of approaches...

  Level description | Mathematics | Mathematics Version 2.0

• VC2M2M02

  identify common uses and represent halves, quarters and eighths in relation to shapes, objects and events

  Elaborations

  • demonstrating how food items can be cut in halves, quarters or eighths; for example, cutting pizzas, slices, cakes or sandwiches into equal parts by halving, then halving again to form quarters and eighths, ensuring that the parts are equal
  • investigating cup and spoon measures used in cooking and discussing what half or quarter of a cup or tablespoon measure means, and using sand or water to compare these to the full cup and tablespoon measures
  • demonstrating and using halves and quarters in folding activities; for example, folding paper in half and quarters and ensuring that the pieces are the same size
  • recognising that halves and quarters can be used to describe lengths, positions and distances; for example, describing the halfway point in a race or instructing someone to stand halfway between 2 chairs
  • discussing that halves and quarters are used to describe durations of time, including durations of time in sporting events, and what this means; for example, discussing how the sirens used during an Australian Rules football game represent quarter time, half-time and three-quarter time during the game, or recognising and using half an hour or quarter of an hour to describe a duration of time

  VC2M2M02 | Mathematics | Mathematics Version 2.0 | Level 2 | Measurement

• VC2M2SP01

  recognise, compare and classify shapes, referencing the number of sides and using spatial terms such as ‘opposite’, ‘parallel’, ‘curved’ and ‘straight’

  Elaborations

  • sorting a collection of shapes in different ways based on their features, such as number of sides, whether all sides are equal and whether pairs of opposite sides are parallel; for example, sorting collections of triangles and other polygons
  • manipulating shapes and recognising that different orientations do not change the shape; for example, cutting out pictures of various shapes and recognising that they are still classified as the same shape even if they are upside down or on their side
  • investigating the shapes of different sporting fields, describing and labelling their features, including sidelines, centre circles and goal squares; for example, labelling the lines on a basketball court and using spatial terms to describe them
  • creating regular shapes using digital tools, describing and observing what happens when you manipulate them; for example, dragging or pushing vertices to produce irregular shapes, or moving or rotating a shape

  VC2M2SP01 | Mathematics | Mathematics Version 2.0 | Level 2 | Space

• VC2M2SP02

  locate positions in two-dimensional representations of a familiar space; move positions by following directions and pathways

  Elaborations

  • interpreting maps of familiar places and identifying the position of key features
  • understanding that we use maps to receive and give directions and to describe place and spatial relationships between places
  • using a classroom seating plan to locate a new seating position and giving directions to other classmates to find their seats
  • following and creating movement instructions that need to be carried out to move through a 4 × 4 grid mat on the classroom floor or on a computer screen, for example, one forward, 2 to the right and one backwards and so on to reach a target square; or using a robotic toy to follow a path on a street scene on a floor mat, adjusting their instructions to the robot toy as they consider the order of their instructions, the direction and how far they want the toy to travel
  • moving around a two-dimensional maze using directional language to describe turns and changes in direction, including saying, for example, ‘clockwise’, ‘anticlockwise’, ‘quarter turn to the left’ and ‘take the path to the right’

  VC2M2SP02 | Mathematics | Mathematics Version 2.0 | Level 2 | Space

• VC2M2A01

  recognise, describe and create additive patterns that increase or decrease by a constant amount, using numbers, shapes and objects, and identify missing elements in the pattern

  Elaborations

  • creating a pattern sequence with materials, writing the associated number sequence, and then describing the sequence so someone else can replicate it with different materials; for example, using matchsticks or toothpicks to create a growing pattern of triangles – using 3 for one triangle, 5 for 2 triangles, 7 for 3 triangles – and describing the pattern as ‘Start with 3 and add 2 each time’
  • recognising patterns in the built environment to locate additive pattern sequences (for example, responding to ‘How many windows in one train carriage, 2 train carriages, 3 train carriages …?’ or ‘How many wheels on one car, 2 cars, 3 cars …?’) and recording the results in a diagram or table
  • recognising the constant term being added or subtracted in an additive pattern and using it to identify missing elements in the sequence
  • recognising additive patterns in the environment on Country/Place and in Aboriginal and/or Torres Strait Islander material culture; and representing these patterns using drawings, coloured counters and numbers

  VC2M2A01 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VC2M2A02

  recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

  Elaborations

  • using ten-frames or materials such as connecting cubes to develop and record addition and subtraction strategies including doubles, near doubles, counting on, combinations to 10 and bridging to 10, explaining patterns and connections noticed within the facts
  • partitioning and rearranging collections to practise and develop fluency with addition and subtraction facts to 20, leading to the recall of these facts; for example, partitioning using materials and part-part-whole diagrams to develop subtraction facts related to addition facts, such as 8 + 7 = 15 therefore 15 − 7 = 8 and 15 − 8 = 7
  • using partitioning to develop and record facts systematically (for example, ‘How many ways can 10 birds be spread among 2 trees?’, 10 = 10 + 0, 10 = 9 + 1, 10 = 8 + 2, 10 = 7 + 3, …), explaining how they know they have found all possible partitions 

  VC2M2A02 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VC2M2A03

  recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving

  Elaborations

  • recognising and relating terms such as ‘double’, ‘twice’ and ‘multiply by 2’, and ‘halve’ and ‘divide by 2’ using physical and virtual materials; for example, colouring numbers on a hundreds chart to represent doubles and using it to recognise halves or recognising the doubling pattern and applying the pattern to find related facts such as ‘For 8 twos, think 2 eights’
  • doubling and halving collections to practise and develop fluency with multiplication and division facts for twos, leading to recall of these facts
  • establishing an understanding of doubles and near doubles using physical or virtual manipulatives; for example, using manipulatives to establish that doubling 5 gives you 10, then extending this doubling fact to respond to the question ‘How can you use this fact to double 6 or double 4?’
  • developing fluency with doubling and halving numbers within 20 using physical or virtual materials and playing doubling and halving games; for example, using a physical or virtual dice and choosing whether to double or halve to reach a target number 

  VC2M2A03 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VC2M2N05

  multiply and divide by one-digit numbers using repeated addition, equal grouping, arrays and partitioning to support a variety of calculation strategies

  Elaborations

  • making and naming arrays and using bar models to solve simple multiplication or sharing problems; for example, making different arrays to represent 12 and naming them as ‘3 fours’, ‘2 sixes’, ‘4 threes’ and ‘6 twos’, using physical or virtual materials to make arrays or using bar models to demonstrate that ‘3 fours’ is equal to ‘4 threes’
  • finding the total number represented in an array by partitioning the array using subitising and number facts; for example, describing how they determined the total number of dots arranged in a ‘3 fives’ array by saying, ‘I saw 2 fives, which is 10, and then 5 more, which makes 15’
  • recognising problems that can be solved using division and identifying the difference between dividing a set of objects into 3 equal groups and dividing the same set of objects into groups of 3
  • using a Think Board to solve partition and quotition division problems; for example, sharing a prize of $36 between 4 people, using materials, a diagram and skip counting to find the answer, and explaining whether the answer ‘9’ refers to people or dollars
  • using materials or diagrams, and skip counting, to solve repeated equal-quantity multiplication problems; for example, writing a repeated addition number sentence and using skip counting to solve the problem ‘Four trays of biscuits with 6 on each tray – how many biscuits are there?’

  VC2M2N05 | Mathematics | Mathematics Version 2.0 | Level 2 | Number

• VC2M2N06

  use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the context

  Elaborations

  • modelling practical problems by interpreting an everyday additive or multiplicative situation; for example, making a number of purchases at a store and deciding whether to use addition, subtraction, multiplication or division to solve the problem and justifying the choice of operation, such as ‘I used subtraction to solve this problem as I knew the total and one of the parts, so I needed to subtract to find the missing part’
  • modelling and solving simple money problems involving whole dollar amounts with addition, subtraction, multiplication or division, for example, ‘If each member of our class contributes $5, how much money will we have in total?’
  • modelling and solving practical problems such as deciding how many people should be in each team for a game or sports event, how many teams for a given game can be filled from a class, or how to share out some food or distribute money in whole dollar amounts, including deciding what to do if there is a remainder
  • modelling and solving the problem ‘How many days are there left in this year?’ by using a calendar
  • modelling problems involving equal grouping and sharing in Aboriginal and/or Torres Strait Islander children’s instructive games; for example, in Yangamini from the Tiwi Peoples of Bathurst Island, representing relationships with a number sentence and interpreting and communicating solutions in terms of the context

  VC2M2N06 | Mathematics | Mathematics Version 2.0 | Level 2 | Number