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Result list

• VCMNA363

  Use function notation to describe the relationship between dependent and independent variables in modelling contexts

  Elaborations

  • identify independent and dependent variables in modelling contexts and represent the relation between them using tables, graphs and rules
  • using technology to draw graphs of functions defined using function notation with consideration of domain and range

  VCMNA363 | Mathematics | Level 10A | Number and Algebra | Linear and non-linear relationships

• VCMNA364

  Solve simultaneous equations using systematic guess-check-and-refine with digital technology

  Elaborations

  • using graphs to determine a convergent set of intervals which contain a point of intersection of the graphs of two functions
  • using cobweb diagram to solve simultaneous equations numerically

  VCMNA364 | Mathematics | Level 10A | Number and Algebra | Linear and non-linear relationships

• VCMNA327

  Solve simple problems involving inverse proportion

  Elaborations

  • identifying inverse proportion in real life contexts such as exchange rates
  • modelling problems involving inverse proportion and solving related equations

  VCMNA327 | Mathematics | Level 10 | Number and Algebra | Real numbers

• VCMNA077

  Follow a short sequence of instructions

  Elaborations

  • carrying out a specified sequence of actions to move an object from one location to another
  • playing a simple rule-based game moving a specified number of places according to the result on a die in a chance-based game

  VCMNA077 | Mathematics | Foundation Level | Number and Algebra | Patterns and algebra

• VCMNA094

  Recognise the importance of repetition of a process in solving problems

  Elaborations

  • using one-to-one correspondence to determine which of two sets is larger, or if they are of equal size
  • dividing a set of blocks in a simple ratio such as ‘2 for me’, ‘1 for you’

  VCMNA094 | Mathematics | Level 1 | Number and Algebra | Patterns and algebra

• VCMNA114

  Apply repetition in arithmetic operations, including multiplication as repeated addition and division as repeated subtraction

  Elaborations

  • using technology to construct a sequence of numbers based on constant addition or subtraction from a given starting value
  • sharing a set of objects equally between a small number of groups

  VCMNA114 | Mathematics | Level 2 | Number and Algebra | Patterns and algebra

• VCMNA139

  Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes

  Elaborations

  • finding and describing simple rules in words to solve problems
  • using simple function machines to represent and apply a process or the inverse process, such as increase or decrease the value of a number by a specified amount

  VCMNA139 | Mathematics | Level 3 | Number and Algebra | Patterns and algebra

• VCMNA164

  Define a simple class of problems and solve them using an effective algorithm that involves a short sequence of steps and decisions

  Elaborations

  • constructing and applying an algorithm for multiplication of two-digit numbers
  • partitioning and ordering a set of Australian coins by denomination

  VCMNA164 | Mathematics | Level 4 | Number and Algebra | Patterns and algebra

• VCMNA194

  Follow a mathematical algorithm involving branching and repetition (iteration)

  Elaborations

  • simulating a simple random walk
  • manipulating sets of numbers using a given rule, for example, if a number is even halve it; if a number is odd, subtract 1 then halve it

  VCMNA194 | Mathematics | Level 5 | Number and Algebra | Patterns and algebra

• VCMNA221

  Design algorithms involving branching and iteration to solve specific classes of mathematical problems

  Elaborations

  • implementing algorithms such as the Euclidean division algorithm
  • devising flowcharts to represent algorithms for a common processes such as adding two fractions

  VCMNA221 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• VCMNA254

  Design and implement mathematical algorithms using a simple general purpose programming language

  Elaborations

  • finding the sum of a set of consecutive numbers using a loop structure
  • constructing geometric patterns such as a honeycomb, using dynamic geometry functionality

  VCMNA254 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• VCMNA282

  Use algorithms and related testing procedures to identify and correct errors

  Elaborations

  • debugging search and sort programs
  • testing a number for divisibility

  VCMNA282 | Mathematics | Level 8 | Number and Algebra | Patterns and algebra

• VCMNA307

  Apply set structures to solve real-world problems

  Elaborations

  • using a sort algorithm to determine the median of a set of numbers
  • exploring variation in proportion and means of random samples, drawn from a population

  VCMNA307 | Mathematics | Level 9 | Number and Algebra | Patterns and algebra

• 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

• VCMNA358

  Devise and use algorithms and simulations to solve mathematical problems

  Elaborations

  • applying a systematic guess-check-and-refine algorithm to identify an approximate value for the root of an equation in an interval
  • developing simulations for counter-intuitive problems in probability such as the Monty Hall problem or derangements

  VCMNA358 | Mathematics | Level 10A | Number and Algebra | Patterns and algebra

• VCMNA074

  Represent practical situations to model sharing

  Elaborations

  • using a range of practical strategies for sharing small groups of numbers, such as visual displays or concrete materials
  • using verbal action stories to model situations that involve sharing

  VCMNA074 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA075

  Represent simple, everyday financial situations involving money

  Elaborations

  • using toy money to pay for goods in play situations

  VCMNA075 | Mathematics | Foundation Level | Number and Algebra | Money and financial mathematics

• VCMNA090

  Represent practical situations that model sharing

  Elaborations

  • sharing a set of objects, such as a packet of sweets, equally between a small group of people using one-to-one correspondence
  • recognising whether there is a remainder or not after sharing equally

  VCMNA090 | Mathematics | Level 1 | Number and Algebra | Number and place value

• VCMNA186

  Recognise, represent and order numbers to at least hundreds of thousands

  Elaborations

  • reproducing six-digit numbers in words using their numerical representations, and vice versa

  VCMNA186 | Mathematics | Level 5 | Number and Algebra | Number and place value

• VCMNA007

  React to everyday financial situations involving money

  Elaborations

  • being supported to experience the sensory characteristics of coins and notes
  • experiencing money being exchanged, counted and stored in various situations

  VCMNA007 | Mathematics | Level A | Number and Algebra | Money and financial mathematics