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• 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

• VC2M9SP03

  design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements 

  Elaborations

  • creating an algorithm using pseudocode or flow charts to apply the triangle inequality, or an algorithm to generate Pythagorean triples
  • creating and testing algorithms designed to construct or bisect angles, using pseudocode or flow charts
  • developing an algorithm for an animation of a geometric construction, or a visual proof, evaluating the algorithm using test cases

  VC2M9SP03 | Mathematics | Mathematics Version 2.0 | Level 9 | Space

• VC2M7SP04

  design algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work

  Elaborations

  • creating a classification scheme for triangles based on sides and angles, using a flow chart that uses sequences and decisions
  • creating a flow chart or hierarchy for quadrilaterals that shows the relationships between trapeziums, parallelograms, rhombuses, rectangles, squares and kites
  • creating a classification scheme for regular, irregular, concave or convex polygons that are sorted according to the number of sides

  VC2M7SP04 | Mathematics | Mathematics Version 2.0 | Level 7 | Space

• VC2M8SP04

  design and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works

  Elaborations

  • listing the properties or criteria necessary to determine if shapes are similar or congruent
  • using the conditions for congruence of triangles and similarity of triangles to develop a sorting algorithm; for example, creating a flow chart
  • evaluating algorithms for accuracy in classifying and distinguishing between similar and congruent triangles

  VC2M8SP04 | Mathematics | Mathematics Version 2.0 | Level 8 | Space

• VC2M1A01

  recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects including Australian coins, formed by skip counting, initially by twos, fives and tens

  Elaborations

  • using number charts, songs, rhymes and stories to establish skip counting sequences of twos, fives and tens
  • using shapes and objects to represent a growing pattern formed by skip counting; for example, using blocks or beads to represent the growing patterns 2, 4, 6, 8, 10 … and 5, 10, 15, 20 …
  • recognising the patterns in sequences formed by skip counting; for example, recognising that skip counting in fives starting from zero always results in either a 5 or zero as the final digit
  • counting by twos, fives or tens to determine how much money is in a collection of coins or notes of the same denomination, for example, 5-cent, 10-cent and $2 coins or $5 and $10 notes
  • using different variations of the popular Korean counting game Sam-yuk-gu for generating skip counting pattern sequences

  VC2M1A01 | Mathematics | Mathematics Version 2.0 | Level 1 | Algebra

• VC2M6A03

  design and use algorithms involving a sequence of steps and decisions that use rules to generate sets of numbers; identify, interpret and explain emerging patterns

  Elaborations

  • using an algorithm to create extended number sequences involving rational numbers, using a rule and digital tools, and explaining any emerging patterns
  • designing an algorithm to model operations, using the concept of input and output, describing and explaining relationships and any emerging patterns; for example, using function machines to model operations and recognising and comparing additive and multiplicative relationships
  • designing an algorithm or writing a simple program to generate a sequence of numbers based on the user’s input and a chosen operation, discussing any emerging patterns; for example, generating a sequence of numbers and comparing how quickly the sequences are growing in comparison to each other using the rule ‘add 2 to the input number’ compared to multiplying the input number by 2

  VC2M6A03 | Mathematics | Mathematics Version 2.0 | Level 6 | Algebra

• VC2M4N10

  follow and create algorithms involving a sequence of steps and decisions that use addition or multiplication to generate sets of numbers; identify and describe any emerging patterns

  Elaborations

  • creating an algorithm that will generate number sequences involving multiples of one to 10 using digital tools to assist, identifying and explaining emerging patterns, and recognising that number sequences can be extended indefinitely
  • creating a basic flow chart that represents an algorithm that will generate a sequence of numbers using multiplication by a constant term; using a calculator to model and follow the algorithm, and recording the sequence of numbers generated; and checking results and describing any emerging patterns
  • using a multiplication formula in a spreadsheet and the ‘fill down’ function to generate a sequence of numbers (for example, entering the number ‘1’ in the cell A1, using ‘fill down’ to cell A100, entering the formula ‘=A1*4’ in the cell B1 and using the ‘fill down’ function to generate a sequence of 100 numbers) and describing emerging patterns
  • creating an algorithm that will generate number sequences involving multiples of one to 10, using digital tools to assist, identifying and explaining emerging patterns, and recognising that number sequences can be extended indefinitely

  VC2M4N10 | Mathematics | Mathematics Version 2.0 | Level 4 | Number

• 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

• VC2M5N10

  follow a mathematical algorithm involving branching and repetition (iteration); create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns

  Elaborations

  • simulating a simple random walk
  • manipulating sets of numbers using a given rule, for example, if a number is even, halve it; or if a number is odd, subtract 1 then halve it
  • creating algorithms that use multiplication and division facts to determine if a number is a multiple or factor of another number; for example, using a flow chart that determines whether numbers are factors or multiples of other numbers using branching, such as yes/no decisions
  • identifying lowest common multiples and highest common factors of pairs or triples of natural numbers; for example, the lowest common multiple of {6, 9} is 18, and the highest common factor is 3, and the lowest common multiple of {3, 4, 5} is 60 and the highest common factor is 1
  • using the ‘fill down’ function of a spreadsheet and a multiplication formula to generate a sequence of numbers that represent the multiples of any number you enter into the cell, and describing and explaining the emerging patterns

  VC2M5N10 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• Mathematics: Level 2 achievement standards

  Number and Algebra

  Students count to and from, and order numbers up to 1000. They perform simple addition and subtraction calculations, using a range of strategies. They find the total value of simple collections of Australian notes and coins. Students represent multiplication and division by grouping...

  Level description | Mathematics | Level 2

• VCMNA181

  Identify and describe factors and multiples of whole numbers and use them to solve problems

  Elaborations

  • exploring factors and multiples using number sequences
  • using simple divisibility tests

  VCMNA181 | Mathematics | Level 5 | Number and Algebra | Number and place value

• Mathematics Version 2.0: Foundation Level achievement standards

  By the end of Foundation, students make connections between number names, numerals and position in the sequence of numbers from zero to at least 20. They use subitising and counting strategies to quantify collections. Students compare the size of collections to at least 20. They partition...

  Level description | Mathematics | Mathematics Version 2.0 | Foundation Level

• 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

• VC2M10A06

  implement algorithms that use data structures using pseudocode or 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

  VC2M10A06 | Mathematics | Mathematics Version 2.0 | Level 10 | Algebra

• VCMMG079

  Compare and order the duration of events using the everyday language of time

  Elaborations

  • knowing and identifying the days of the week and linking specific days to familiar events
  • sequencing familiar events in time order

  VCMMG079 | Mathematics | Foundation Level | Measurement and Geometry | Using units of measurement

• 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