Numbers and Algebra

Outcomes

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