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• VCMNA334

  Implement algorithms using data structures in a general-purpose programming language

  Elaborations

  • using two-dimensional arrays such as matrices to represent and implement sequences of transformations of sets of points in the plane
  • using pointers in algorithms

  VCMNA334 | Mathematics | Level 10 | Number and Algebra | Patterns and algebra

• VCMNA009

  Respond to repeated routines in everyday events

  Elaborations

  • experience steps to solve a problem
  • experience steps and sequences in everyday tasks
  • respond to repetition and repeated experiences within everyday life

  VCMNA009 | Mathematics | Level A | Number and Algebra | Patterns and algebra

• 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

• VCMMG366

  Prove and apply angle and chord properties of circles

  Elaborations

  • performing a sequence of steps to determine an unknown angle or length in a diagram involving a circle, or circles, giving a justification in moving from one step to the next
  • communicating a proof using a logical sequence of statements
  • proving results involving chords of circles

  VCMMG366 | Mathematics | Level 10A | Measurement and Geometry | Geometric reasoning

• VCMNA134

  Recall multiplication facts of two, three, five and ten and related division facts

  Elaborations

  • establishing multiplication facts using number sequences
  • using strategies to recall the multiplication and related division facts for the twos, threes, fives and tens

  VCMNA134 | Mathematics | Level 3 | Number and Algebra | Number and place value

• Mathematics: Foundation Level achievement standards

  Number and Algebra

  Students connect number names and numerals with sets of up to 20 elements, estimate the size of these sets, and use counting strategies to solve problems that involve comparing, combining and separating these sets. They match individual objects with counting sequences up to and...

  Level description | Mathematics | Foundation Level

• Mathematics: Level 1 achievement standards

  Number and Algebra

  Students count to and from 100 and locate these numbers on a number line. They partition numbers using place value and carry out simple additions and subtractions, using counting strategies. Students recognise Australian coins according to their value. They identify representations...

  Level description | Mathematics | Level 1

• Mathematics: Level 3 achievement standards

  Number and Algebra

  Students count and order numbers to and from 10 000. They recognise the connection between addition and subtraction, and solve problems using efficient strategies for multiplication with and without the use of digital technology. Students recall addition and multiplication facts...

  Level description | Mathematics | Level 3

• VCMNA093

  Investigate and describe number patterns formed by skip counting and patterns with objects

  Elaborations

  • using place-value patterns beyond the teens to generalise the number sequence and predict the next number
  • investigating patterns in the number system, such as the occurrence of a particular digit in the numbers to 100

  VCMNA093 | Mathematics | Level 1 | Number and Algebra | Patterns and algebra

• VCMNA114

  Apply repetition in arithmetic operations, including multiplication as repeated addition and division as repeated subtraction

  Elaborations

  • using technology to construct a sequence of numbers based on constant addition or subtraction from a given starting value
  • sharing a set of objects equally between a small number of groups

  VCMNA114 | Mathematics | Level 2 | Number and Algebra | Patterns and algebra

• VCMMG345

  Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

  Elaborations

  • distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)
  • performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.
  • communicating a proof using a sequence of logically connected statements

  VCMMG345 | Mathematics | Level 10 | Measurement and Geometry | Geometric reasoning

• Mathematics: Level 4 achievement standards

  Number and Algebra

  Students recall multiplication facts to 10 x 10 and related division facts. They choose appropriate strategies for calculations involving multiplication and division, with and without the use of digital technology, and estimate answers accurately enough for the context. Students...

  Level description | Mathematics | Level 4

• 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 2 description

  In Level 2, students use grouping partitioning and re-arrangement to apply place value and extend the range of numbers they use and apply to thousands.

  Students recognise, model and order numbers to at least 1000 and use a variety of strategies to count efficiently, including skip counting forwards...

  Level description | Mathematics

• Mathematics: Level 6 description

  In Level 6, students work with prime, composite, square and triangular numbers and carry out mental, written and technology based computation to solve whole number problems involving all four operations. They explore everyday situations involving integers, and use a number line to represent them...

  Level description | Mathematics

• 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

• VCMNA072

  Compare, order and make correspondences between collections, initially to 20, and explain reasoning

  Elaborations

  • comparing and ordering items of like and unlike characteristics using the words ‘more’, ‘less’, ‘same as’ and ‘not the same as’ and giving reasons for these answers
  • understanding and using terms such as ‘first’ and ‘second’ to indicate ordinal position in a sequence.
  • using objects which are personally and culturally relevant to students

  VCMNA072 | Mathematics | Foundation Level | 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

• VCMMG031

  Respond to a simple statement about location or direction

  Elaborations

  • following directional communication used in daily routine, for example, ‘put in’ to finish an activity, ‘sit down’, ‘stand up’ during an activity or program
  • following everyday language of location and direction through modelled daily routines, for example: looking upwards for ‘up’; using rhymes and chants that relate to movement; following a warm-up sequence for work or sport; unpacking their bag; washing their hands and setting up for lunch
  • exploring the concept of ‘inside’ and ‘outside’ during activities by putting objects ‘in’ and ‘out’ of a container and following routines and instructions that involve moving inside and outside locations

  VCMMG031 | Mathematics | Level B | Measurement and Geometry | Location and transformation

• VCMNA001

  Respond to objects being counted and distributed

  Elaborations

  • experiencing number names and number sequence in everyday experiences, for example birthdays, distributing equipment, collecting materials
  • experiencing number and its use in stories, songs and rhythm, chosen for their interest and relevance to the student’s age
  • attending to number and counting in daily routines, for example cups of flour in the bowl, number of times an action or event is repeated or experienced
  • reacting to everyday situations where objects are counted, for example number of items on a plate or tray, steps to the door, eggs in the carton, bounces of a ball
  • being supported as they touch, feel or move over objects as they are being counted

  VCMNA001 | Mathematics | Level A | Number and Algebra | Number and place value