Year 10 General Mathematics

Year 10 General Mathematics  prepares girls for VCE General Mathematics or VCE Foundation Mathematics. It is not an adequate preparation for Mathematical Methods and Specialist Mathematics in the VCE.

Year 10 Mathematics content includes:

Number and Algebra

  • Money and financial mathematics
  • Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies

Patterns and algebra

  • Factorise algebraic expressions by taking out a common algebraic factor
  • Simplify algebraic products and quotients using index laws
  • Apply the four operations to simple algebraic fractions with numerical denominators
  • Expand binomial products and factorise monic quadratic expressions using a variety of strategies
  • Substitute values into formulas to determine an unknown

Linear and non-linear relationships

  • Solve problems involving linear equations, including those derived from formulas
  • Solve linear inequalities and graph their solutions on a number line
  • Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology
  • Solve problems involving parallel and perpendicular lines
  • Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate
  • Solve linear equations involving simple algebraic fractions
  • Solve simple quadratic equations using a range of strategies

Using units of measurement

  • Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids

Geometric reasoning

  • Formulate proofs involving congruent triangles and angle properties
  • Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

Pythagoras and trigonometry

  • Solve right-angled triangle problems including those involving direction and angles of elevation and depression

Probability

  • Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence
  • Use the language of ‘if ....then’, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language

Data representation and interpretation

  • Determine quartiles and interquartile range
  • Construct and interpret box plots and use them to compare data sets
  • Compare shapes of box plots to corresponding histograms and dot plots
  • Use scatter plots to investigate and comment on relationships between two numerical variables
  • Investigate and describe bivariate numerical data where the independent variable is time
  • Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data