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• 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

• VCMNA162

  Solve word problems by using number sentences involving multiplication or division where there is no remainder

  Elaborations

  • representing a word problem as a number sentence
  • writing a word problem using a given number sentence

  VCMNA162 | Mathematics | Level 4 | Number and Algebra | Patterns and algebra

• VCMNA193

  Use equivalent number sentences involving multiplication and division to find unknown quantities

  Elaborations

  • using relevant problems to develop number sentences

  VCMNA193 | Mathematics | Level 5 | Number and Algebra | Patterns and algebra

• VCMNA245

  Express one quantity as a fraction of another, with and without the use of digital technologies

  Elaborations

  • using examples for the quantities to be expressed and understanding the reasons for the calculations

  VCMNA245 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA243

  Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

  Elaborations

  • exploring and developing efficient strategies to solve additive problems involving fractions (for example by using fraction walls or rectangular arrays with dimensions equal to the denominators)

  VCMNA243 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA248

  Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

  Elaborations

  • using authentic problems to express quantities as percentages of other amounts

  VCMNA248 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA242

  Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line

  Elaborations

  • exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)

  VCMNA242 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA272

  Use index notation with numbers to establish the index laws with positive integral indices and the zero index

  Elaborations

  • evaluating numbers expressed as powers of positive integers

  VCMNA272 | Mathematics | Level 8 | Number and Algebra | Number and place value

• VCMNA244

  Multiply and divide fractions and decimals using efficient written strategies and digital technologies

  Elaborations

  • investigating multiplication of fractions and decimals, using strategies including patterning and multiplication as repeated addition, with both concrete materials and digital technologies, and identifying the processes for division as the inverse of multiplication

  VCMNA244 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA246

  Round decimals to a specified number of decimal places

  Elaborations

  • using rounding to estimate the results of calculations with whole numbers and decimals, and understanding the conventions for rounding

  VCMNA246 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA247

  Connect fractions, decimals and percentages and carry out simple conversions

  Elaborations

  • justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers
  • understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each
  • calculating the percentage of the total local municipal area set aside for parkland, manufacturing, retail and residential dwellings to compare land use

  VCMNA247 | Mathematics | Level 7 | Number and Algebra | Real numbers

• VCMNA249

  Recognise and solve problems involving simple ratios

  Elaborations

  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem

  VCMNA249 | Mathematics | Level 7 | Number and Algebra | Real numbers