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Result list

• 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

• VCMNA214

  Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers

  Elaborations

  • extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths
  • exploring and practising efficient methods for solving problems requiring operations on decimals, to gain fluency with calculating with decimals and with recognising appropriate operations

  VCMNA214 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA076

  Sort and classify familiar objects and explain the basis for these classifications, and copy, continue and create patterns with objects and drawings

  Elaborations

  • observing natural patterns in the world around us
  • creating and describing patterns using materials, sounds, movements or drawings
  • extending patterns using materials and drawings to the right and to the left
  • identifying which part of the pattern is being repeated (happening over and over again)

  VCMNA076 | Mathematics | Foundation Level | Number and Algebra | Patterns and algebra

• 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

• VCMNA161

  Explore and describe number patterns resulting from performing multiplication

  Elaborations

  • identifying examples of number patterns in everyday life

  VCMNA161 | Mathematics | Level 4 | Number and Algebra | Patterns and algebra

• VCMNA112

  Describe patterns with numbers and identify missing elements

  Elaborations

  • describing a pattern created by skip counting and representing the pattern on a number line
  • investigating features of number patterns resulting from adding twos, fives or 10s

  VCMNA112 | Mathematics | Level 2 | Number and Algebra | Patterns and algebra

• VCMNA192

  Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction

  Elaborations

  • using the number line or diagrams to create patterns involving fractions or decimals

  VCMNA192 | Mathematics | Level 5 | Number and Algebra | Patterns and algebra

• VCMNA113

  Solve problems by using number sentences for addition or subtraction

  Elaborations

  • representing a word problem as a number sentence
  • writing a word problem to represent a number sentence

  VCMNA113 | Mathematics | Level 2 | Number and Algebra | Patterns and algebra

• VCMNA163

  Use equivalent number sentences involving addition and subtraction to find unknown quantities

  Elaborations

  • writing number sentences to represent and answer questions such as: ‘When a number is added to 23 the answer is the same as 57 minus 19. What is the number?’
  • using partitioning to find unknown quantities in number sentences

  VCMNA163 | Mathematics | Level 4 | Number and Algebra | Patterns and algebra

• VCMNA138

  Describe, continue, and create number patterns resulting from performing addition or subtraction

  Elaborations

  • identifying and writing the rules for number patterns
  • describing a rule for a number pattern, then creating the pattern

  VCMNA138 | Mathematics | Level 3 | Number and Algebra | Patterns and algebra