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• VCMSP350

  Construct and interpret box plots and use them to compare data sets

  Elaborations

  • understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP350 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• 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

• VCMNA335

  Solve problems involving linear equations, including those derived from formulas

  Elaborations

  • representing word problems with simple linear equations and solving them to answer questions

  VCMNA335 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• VCMNA336

  Solve linear inequalities and graph their solutions on a number line

  Elaborations

  • representing word problems with simple linear inequalities and solving them to answer questions

  VCMNA336 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• VCMNA340

  Solve linear equations involving simple algebraic fractions

  Elaborations

  • solving a wide range of linear equations, including those involving one or two simple algebraic fractions, and checking solutions by substitution
  • representing word problems, including those involving fractions, as equations and solving them to answer the question

  VCMNA340 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• Mathematics: Level 10 achievement standards

  Number and Algebra

  Students recognise the connection between simple and compound interest. They solve problems involving linear equations and inequalities, quadratic equations and pairs of simultaneous linear equations and related graphs, with and without the use of digital technology. Students...

  Level description | Mathematics | Level 10

• VCMNA338

  Solve problems involving gradients of parallel and perpendicular lines

  Elaborations

  • solving problems using the fact that parallel lines have the same gradient and conversely that if two lines have the same gradient then they are parallel
  • solving problems using the fact that the product of the gradients of perpendicular lines is –1 and conversely that if the product of the gradients of two lines is –1 then they are perpendicular

  VCMNA338 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• VCMMG345

  Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

  Elaborations

  • distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)
  • performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.
  • communicating a proof using a sequence of logically connected statements

  VCMMG345 | Mathematics | Level 10 | Measurement and Geometry | Geometric reasoning