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• VCMNA240

  Apply the associative, commutative and distributive laws to aid mental and written computation and make estimates for these computations

  Elaborations

  • simplifying calculations
  • forming simple estimates for calculations involving multiple and/or combined operations

  VCMNA240 | Mathematics | Level 7 | Number and Algebra | Number and place value

• VCMNA241

  Compare, order, add and subtract integers

  Elaborations

  • using a variety of models to represent, add and subtract integers

  VCMNA241 | Mathematics | Level 7 | Number and Algebra | Number and place value

• VCMNA219

  Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence

  Elaborations

  • identifying and generalising number patterns
  • investigating additive and multiplicative patterns such as the number of tiles in a geometric pattern, or the number of dots or other shapes in successive repeats of a strip or border pattern looking for patterns in the way the numbers increase/decrease

  VCMNA219 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• VCMNA251

  Introduce the concept of variables as a way of representing numbers using letters

  Elaborations

  • understanding that arithmetic laws are powerful ways of describing and simplifying calculations and that using these laws leads to the generality of algebra

  VCMNA251 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• VCMNA250

  Investigate and calculate 'best buys', with and without digital technologies

  Elaborations

  • applying the unitary method to identify ‘best buys’ situations, such as comparing the cost per 100g

  VCMNA250 | Mathematics | Level 7 | Number and Algebra | Money and financial mathematics

• VCMNA239

  Investigate and use square roots of perfect square numbers

  Elaborations

  • investigating square numbers such as 25 and 36 and developing square-root notation
  • investigating between which two whole numbers a square root lies

  VCMNA239 | Mathematics | Level 7 | Number and Algebra | Number and place value

• VCMNA220

  Explore the use of brackets and order of operations to write number sentences

  Elaborations

  • appreciating the need for rules to complete multiple operations within the same number sentence

  VCMNA220 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• VCMNA252

  Create algebraic expressions and evaluate them by substituting a given value for each variable

  Elaborations

  • using authentic formulas to perform substitutions

  VCMNA252 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• VCMNA238

  Investigate index notation and represent whole numbers as products of powers of prime numbers

  Elaborations

  • defining and comparing prime and composite numbers and explaining the difference between them
  • applying knowledge of factors to strategies for expressing whole numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees
  • solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of whole numbers by comparing their prime factorisation

  VCMNA238 | Mathematics | Level 7 | Number and Algebra | Number and place value

• VCMNA253

  Extend and apply the laws and properties of arithmetic to algebraic terms and expressions

  Elaborations

  • identifying order of operations in contextualised problems, preserving the order by inserting brackets in numerical expressions, then recognising how order is preserved by convention
  • moving fluently between algebraic and word representations as descriptions of the same situation

  VCMNA253 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• VCMNA184

  Solve problems involving division by a one digit number, including those that result in a remainder

  Elaborations

  • using the fact that equivalent division calculations result if both numbers are divided by the same factor
  • using rounding and making estimates for computations
  • interpreting and representing the remainder in division calculations sensibly for the context

  VCMNA184 | Mathematics | Level 5 | Number and Algebra | Number and place value

• VCMNA189

  Recognise that the place value system can be extended beyond hundredths

  Elaborations

  • using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
  • recognising the equivalence of one thousandths and 0.001

  VCMNA189 | Mathematics | Level 5 | Number and Algebra | Fractions and decimals

• VCMNA183

  Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies

  Elaborations

  • using rounding and making estimates for computations
  • exploring techniques for multiplication such as the area model, the Italian lattice method or the partitioning of numbers
  • applying the distributive law and using arrays to model multiplication and explain calculation strategies

  VCMNA183 | Mathematics | Level 5 | Number and Algebra | Number and place value

• VCMNA188

  Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

  Elaborations

  • modelling and solving addition and subtraction problems involving fractions by using jumps on a number line, or making diagrams of fractions as parts of shapes

  VCMNA188 | Mathematics | Level 5 | Number and Algebra | Fractions and decimals

• VCMNA191

  Create simple financial plans

  Elaborations

  • creating a simple budget for a class fundraising event
  • identifying the GST component of invoices and receipts

  VCMNA191 | Mathematics | Level 5 | Number and Algebra | Money and financial mathematics

• VCMNA185

  Use efficient mental and written strategies and apply appropriate digital technologies to solve problems

  Elaborations

  • choosing between mental, written and a technology-based computation depending on the nature of the problems and the purpose for computation
  • using technology to solve problems and check the reasonableness of answers

  VCMNA185 | Mathematics | Level 5 | Number and Algebra | Number and place value

• VCMNA182

  Use estimation and rounding to check the reasonableness of answers to calculations

  Elaborations

  • recognising the usefulness of estimation to check calculations
  • applying mental strategies to estimate the result of calculations, such as estimating the cost of a supermarket trolley load

  VCMNA182 | Mathematics | Level 5 | Number and Algebra | Number and place value

• VCMNA160

  Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies

  Elaborations

  • recognising that not all countries use dollars and cents, eg India uses rupees.
  • carrying out calculations in another currency as well as in dollars and cents, and identifying both as decimal systems

  VCMNA160 | Mathematics | Level 4 | Number and Algebra | Money and financial mathematics

• VCMNA187

  Compare and order common unit fractions and locate and represent them on a number line

  Elaborations

  • recognising the connection between the order of unit fractions and their denominators

  VCMNA187 | Mathematics | Level 5 | Number and Algebra | Fractions and decimals

• VCMNA190

  Compare, order and represent decimals

  Elaborations

  • locating decimals on a number line

  VCMNA190 | Mathematics | Level 5 | Number and Algebra | Fractions and decimals