__Proportion__

- Recognise quantities that are in direct proportion
- Calculate quantities that are in direct proportion
- Draw, recognise and interpret graphs of direct proportion (straight line through the origin)
- Recognise quantities that are in inverse proportion
- Calculate quantities that are in inverse proportion
- Draw, recognise and interpret graphs of inverse proportion

__Linear Relationships__

- Plot points and determine equation e.g. x = 4, y = -6, y = 2x
*(4*^{th}level) - Draw a line using a table of values, from a given equation
- Define gradient and use gradient formula
*(4*^{th}level) - Find the equation of a straight line in the form y = mx + c given 2 points
*(4*^{th}level) - Understand how to rearrange the formula of any given straight line to find the gradient and y-intercept
*(4*^{th}level) - Investigate parallel lines and relationship with equation
- Recognise and investigate the relationship between an equation and the corresponding straight line
- Determine the equation of line of best fit from a scattergraph

__Similarity__

- Recognise similar shapes
*(4*^{th}level) - Determine and apply linear scale factor
*(4*^{th}level) - Determine and apply area scale factor
*(4*^{th}level) - Determine and apply volume scale factor
*(4*^{th}level) - Understand the link between linear, area and volume scale factor

__Speed, Distance and Time__

- Convert between hours and mins and decimals of an hour
*+4*^{th}level) - Understand the link between speed, distance and time
*(4*^{th}level) - Perform speed, distance and time calculations in a non-calculator and calculator instance
*(4*^{th}level) - Understand how to express minutes as a fraction of an hour
- Interpret and construct distance-time graphs (inc. calculate speed)

__Equations 3__

- Solve equations involving fractions
- Construct equations involving fractions
- Recognise the use of an inequality symbol

__Volume__

- Calculate surface area of cubes/cuboids
*(4*^{th}level) - Calculate surface area of prisms
*(4*^{th}level) - Calculate volume of prisms
*(4*^{th}level) - Calculate radius or height, given the volume of a shape
*(4*^{th}level) - Solve real-life problems related to surface area/volume

__Right-angled Trigonometry__

- Understand the relationship between sides an angles in a right-angled triangle
*(4*^{th}level) - Perform trigonometry calculations in a right-angled triangle to find an angle
*+4*^{th}level) - Perform trigonometry calculations in a right-angled triangle to find a side length
*(4*^{th}level) - Understand the application of trigonometry (Clinometer or other project)

__Circle Geometry__

- Recognise the properties and relationships between radii, chords and tangents
*(4*^{th}level) - Identify isosceles triangles within a circle
*(4*^{th}level) - Recognise a right-angled triangle in a semi-circle
- Use angle facts to solve related problems
- Use Pythagoras’ Theorem and trigonometry to solve related problems

__Third Year Examination__

After this stage, pupils will have successfully completed Fourth Level. Using all the evidence gained over the three years, we will make judgements on what National course pupils will begin work on.