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• VCMNA306

  Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate

  Elaborations

  • understanding that the distributive law can be applied to algebraic expressions as well as numbers
  • understanding the relationship between expansion and factorisation and identifying algebraic factors in algebraic expressions

  VCMNA306 | Mathematics | Level 9 | Number and Algebra | Patterns and algebra

• VCMMG315

  Investigate very small and very large time scales and intervals

  Elaborations

  • investigating the usefulness of scientific notation in representing very large and very small numbers

  VCMMG315 | Mathematics | Level 9 | Measurement and Geometry | Using units of measurement

• Mathematics: Level 9 description

  In Level 9, students develop familiarity with a broader range of non-linear and linear functions and relations, and related algebra and graphs.

  Students apply index laws with integer indices to a range of numerical expressions and extend this to algebraic expressions involving numbers and pro-numerals...

  Level description | Mathematics

• VCMNA309

  Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software

  Elaborations

  • investigating graphical and algebraic techniques for finding midpoint and gradient
  • recognising that the gradient of a line is the same as the gradient of any line segment on that line

  VCMNA309 | Mathematics | Level 9 | Number and Algebra | Linear and non-linear relationships

• VCMNA308

  Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software

  Elaborations

  • investigating graphical and algebraic techniques for finding distance between two points
  • using Pythagoras' theorem to calculate distance between two points

  VCMNA308 | Mathematics | Level 9 | Number and Algebra | Linear and non-linear relationships

• VCMSP325

  Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’

  Elaborations

  • using stem-and-leaf plots to compare two like sets of data such as the heights of girls and the heights of boys in a class
  • describing the shape of the distribution of data using terms such as ‘positive skew’, ‘negative skew’ and 'symmetric' and 'bi-modal'

  VCMSP325 | Mathematics | Level 9 | Statistics and Probability | Data representation and interpretation

• VCMNA304

  Solve problems involving simple interest

  Elaborations

  • understanding that financial decisions can be assisted by mathematical calculations

  VCMNA304 | Mathematics | Level 9 | Number and Algebra | Money and financial mathematics

• VCMNA305

  Extend and apply the index laws to variables, using positive integer indices and the zero index

  Elaborations

  • understanding that index laws apply to variables as well as numbers

  VCMNA305 | Mathematics | Level 9 | Number and Algebra | Patterns and algebra

• VCMMG319

  Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles

  Elaborations

  • developing understanding of the relationship between the corresponding sides of similar right-angled triangles

  VCMMG319 | Mathematics | Level 9 | Measurement and Geometry | Pythagoras and trigonometry

• VCMMG312

  Calculate the areas of composite shapes

  Elaborations

  • understanding that partitioning composite shapes into rectangles and triangles is a strategy for solving problems involving area

  VCMMG312 | Mathematics | Level 9 | Measurement and Geometry | Using units of measurement

• Mathematics: Level 9 achievement standards

  Number and Algebra

  Students apply the index laws using integer indices to variables and numbers, express numbers in scientific notation, solve problems involving very small and very large numbers, and check the order of magnitude of calculations. They solve problems involving simple interest. Students...

  Level description | Mathematics | Level 9

• VCMMG320

  Apply trigonometry to solve right-angled triangle problems

  Elaborations

  • understanding the terms 'adjacent' and 'opposite' sides in a right-angled triangle
  • selecting and accurately using the correct trigonometric ratio to find unknown sides (adjacent, opposite and hypotenuse) and angles in right-angled triangles

  VCMMG320 | Mathematics | Level 9 | Measurement and Geometry | Pythagoras and trigonometry

• VCMMG318

  Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles

  Elaborations

  • understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications
  • recognising that right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers

  VCMMG318 | Mathematics | Level 9 | Measurement and Geometry | Pythagoras and trigonometry