Stage 5.1

Outcomes

Numbers and Algebra
- Financial Mathematics
  - MA5.1-4NA
    Solves financial problems involving earning, spending and investing money
    - Solve problems involving earning money
      - Calculate earnings from wages for various time periods, given an hourly rate of pay, including penalty rates for overtime and special rates for Sundays and public holidays
        
        Play Activities 3
        
        Examples
    - Solve problems involving simple interest (ACMNA211)
      - Calculate simple interest using the formula I = PRM where I is the interest, P is the principal, R is the interest rate per time period (expressed as a fraction or decimal) and N is the number of time periods
        
        Play Activities 3
        
        Examples
- Indices
  - MA5.1-5NA
    Operates with algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases
- Linear Relationships
  - MA5.1-6NA
    Determines the midpoint, gradient and length of an interval, and graphs linear relationships
    - Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software (ACMNA214)
      - Use the interval between two points on the Cartesian plane as the hypotenuse of a right-angled triangle and apply Pythagoras' theorem to determine the length of the interval joining the two points (ie 'the distance between the two points')
        
        Play Activities 2
        
        Examples
    - Sketch linear graphs using the coordinates of two points (ACMNA215)
      - Identify the x- and y-intercepts of lines
        
        Play Activities 3
        
        Examples
      - Graph a variety of linear relationships on the Cartesian plane, with and without the use of digital technologies
        
        Play Activities 4
        
        Examples
      - Determine whether a point lies on a line by substitution
        
        Play Activities 13
        
        Examples
Measurement and Geometry
- Area and Surface Area
  - MA5.1-8MG
    Calculates the areas of composite shapes, and the surface areas of rectangular and triangular prisms
    - Calculate the areas of composite shapes (ACMMG216)
      - Solve a variety of practical problems involving the areas of quadrilaterals and composite shapes
        
        Play Activities 3
        
        Examples
    - Solve problems involving the surface areas of right prisms (ACMMG218)
      - Identify the edge lengths and the areas making up the 'surface area' of rectangular and triangular prisms
        
        Play Activities 6
        
        Examples
- Numbers of Any Magnitude
  - MA5.1-9MG
    Interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures
    - Investigate very small and very large time scales and intervals (ACMMG219)
      - Round numbers to a specified number of significant figures
        
        Play Activities 21
        
        Examples
      - Interpret the meaning of prefixes for very small and very large units of measurement, such as 'nano', 'micro', 'mega', 'giga' and 'tera'
        
        Play Activities 5
        
        Examples
    - Express numbers in scientific notation (ACMNA210)
      - Express numbers in scientific notation
        
        Play Activities 3
        
        Examples
      - Solve problems involving scientific notation
        
        Play Activities 9
        
        Examples
Statistics and Probability
- Probability
  - MA5.1-13SP
    Calculates relative frequencies to estimate probabilities of simple and compound events
    - Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or' (ACMSP226)
      - Predict the probability of an event from experimental data using relative frequencies
        
        Play Activities 3
        
        Examples
      - Calculate probabilities of events, including events involving 'and', 'or' and 'not', from data contained in two-way tables
        
        Play Activities 14
        
        Examples