Stage 5.2

Outcomes

Numbers and Algebra
- Algebraic Techniques
  - MA5.26NA
    Simplifies algebraic fractions, and expands and factorises quadratic expressions
    - Factorise algebraic expressions by taking out a common algebraic factor (ACMNA230)
      - Factorise algebraic expressions, including those involving indices, by determining common factors, eg factorise 3x to the power of 2 - 6x, 14ab + 12a to the power of 2, 21xy - 3x + 9x to the power of 2, 15p squared q cubed - 12pq to the power of 4
        
        Play Activities 2
        
        Examples
- Equations
  - MA5.2-8NA
    Solves linear and simple quadratic equations, linear inequalities and linear simultaneous equations, using analytical and graphical techniques
- Linear Relationships
  - MA5.2-9NA
    Uses the gradient-intercept form to interpret and graph linear relationships
    - Interpret and graph linear relationships using the gradient-intercept form of the equation of a straight line
      - Recognise equations of the form y = mx + b as representing straight lines and interpret the x-coefficient (m) as the gradient, and the constant (b) as the y-intercept, of a straight line
        
        Play Activities 9
        
        Examples
- Non-Linear Relationships
  - MA5.2-10NA
    Connects algebraic and graphical representations of simple non-linear relationships
    - Explore the connection between algebraic and graphical representations of relationships such as simple quadratics, circles and exponentials using digital technologies as appropriate (ACMNA239)
      - Identify graphs and equations of straight lines, parabolas, circles and exponentials
        
        Play Activities 4
        
        Examples
Measurement and Geometry
- Area and Surface Area
  - MA5.2-11MG
    Calculates the surface areas of right prisms, cylinders and related composite solids
    - Calculate the surface areas of cylinders and solve related problems (ACMMG217)
      - Develop and use the formula to find the surface areas of closed right cylinders: Surface area of (closed) cylinder=2 pi r squared + 2 pi r h where r is the length of the radius and h is the perpendicular height
        
        Play Activities 2
        
        Examples
- Volume
  - MA5.2-12MG
    Applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders
    - Solve problems involving volume for a range of prisms, cylinders and composite solids (ACMMG242)
      - Solve a variety of practical problems related to the volumes and capacities of prisms, cylinders and related composite solids
        
        Play Activities 14
        
        Examples
- Properties of Geometrical Figures
  - MA5.2-14MG
    Calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar
Statistics and Probability
- Probability
  - MA5.2-17SP
    Describes and calculates probabilities in multi-step chance experiments
    - List all outcomes for two-step chance experiments, with and without replacement, using tree diagrams or arrays; assign probabilities to outcomes and determine probabilities for events (ACMSP225)
      - Calculate probabilities of simple and compound events in two-step chance experiments, with and without replacement
        
        Play Activities 19
        
        Examples