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• VCMNA154

  Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9

  Elaborations

  • recognising that number sequences can be extended indefinitely, and determining any patterns in the sequences

  VCMNA154 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA158

  Count by quarters, halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line

  Elaborations

  • converting mixed numbers to improper fractions and vice versa
  • investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations

  VCMNA158 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals

• VCMNA159

  Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation

  Elaborations

  • using division by 10 to extend the place-value system
  • using knowledge of fractions to establish equivalences between fractions and decimal notation

  VCMNA159 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals

• 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

• VCMNA151

  Investigate and use the properties of odd and even numbers

  Elaborations

  • using the four operations with pairs of odd or even numbers or one odd and one even number, then using the relationships established to check the accuracy of calculations

  VCMNA151 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA157

  Investigate equivalent fractions used in contexts

  Elaborations

  • exploring the relationship between families of fractions (halves, quarters and eighths or thirds and sixths) by folding a series of paper strips to construct a fraction wall

  VCMNA157 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals

• VCMNA111

  Count and order small collections of Australian coins and notes according to their value

  Elaborations

  • identifying equivalent values in collections of coins or notes, such as two five-cent coins having the same value as one 10-cent coin
  • counting collections of coins or notes to make up a particular value, such as that shown on a price tag

  VCMNA111 | Mathematics | Level 2 | Number and Algebra | Money and financial mathematics

• VCMNA137

  Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents

  Elaborations

  • recognising the relationship between dollars and cents, and that not all countries use these denominations and divisions. For example, the Japanese Yen

  VCMNA137 | Mathematics | Level 3 | Number and Algebra | Money and financial mathematics

• VCMNA156

  Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder

  Elaborations

  • using known facts and strategies, such as commutativity, doubling and halving for multiplication, and connecting division to multiplication when there is no remainder

  VCMNA156 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA155

  Recall multiplication facts up to 10 × 10 and related division facts

  Elaborations

  • using known multiplication facts to calculate related division facts
  • using strategies to recall the multiplication facts
  • extending multiplication facts (for example 4 by 7 is 28 so 4 by 7 tens is 28 tens)

  VCMNA155 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA212

  Solve problems involving addition and subtraction of fractions with the same or related denominators

  Elaborations

  • understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions
  • solving realistic additive (addition and subtraction) problems involving fractions to develop understanding of equivalent fractions and the use of fractions as operators
  • modelling and solving additive problems involving fractions by using methods such as jumps on a number line, or by making diagrams of fractions as parts of shapes

  VCMNA212 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA213

  Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies

  Elaborations

  • recognising that finding one third of a quantity is the same as dividing by 3

  VCMNA213 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA209

  Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations

  Elaborations

  • applying strategies already developed for solving problems involving small numbers to those involving large numbers
  • applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies
  • forming simple single digit estimates with consideration of order of magnitude of the result

  VCMNA209 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMNA216

  Multiply and divide decimals by powers of 10

  Elaborations

  • multiplying and dividing decimals by multiples of powers of 10

  VCMNA216 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA210

  Investigate everyday situations that use integers. Locate and represent these numbers on a number line

  Elaborations

  • recognising that integers form an ordered infinite set {…-3, -2, -1, 0, 1, 2, 3…} with no first element or last element
  • solving everyday additive problems using a number line
  • investigating everyday situations that use integers, such as temperatures
  • using number lines to position and order integers around zero

  VCMNA210 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMNA208

  Identify and describe properties of prime, composite, square and triangular numbers

  Elaborations

  • understanding that some numbers have special properties and that these properties can be used to solve problems
  • representing composite numbers as a product of their prime factors and using this form to simplify calculations by cancelling common primes
  • understanding that if a number is divisible by a composite number then it is also divisible by the prime factors of that number.

  VCMNA208 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMNA211

  Compare fractions with related denominators and locate and represent them on a number line

  Elaborations

  • demonstrating equivalence between fractions using drawings and models

  VCMNA211 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA215

  Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies

  Elaborations

  • interpreting the results of calculations to provide an answer appropriate to the context

  VCMNA215 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA217

  Make connections between equivalent fractions, decimals and percentages

  Elaborations

  • connecting fractions, decimals and percentages as different representations of the same number, moving fluently between representations and choosing the appropriate one for the problem being solved

  VCMNA217 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA218

  Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies

  Elaborations

  • using authentic information to calculate prices on sale goods

  VCMNA218 | Mathematics | Level 6 | Number and Algebra | Money and financial mathematics