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Achievement 
Merit 
Excellence 



This involves:  selecting and using methods  demonstrating knowledge of trigonometric concepts and terms  communicating using appropriate representations. 
involves one or more of:  selecting and carrying out a logical sequence of steps  connecting different concepts or representations  demonstrating understanding of concepts  forming and using a model; and also relating findings to a context, or communicating thinking using appropriate mathematical statements. 
involves one or more of:  devising a strategy to investigate or solve a problem  identifying relevant concepts in context  developing a chain of logical reasoning, or proof  forming a generalisation; and also using correct mathematical statements, or communicating mathematical insight. 
Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions AS91259 Apply trigonometric relationships in solving problems For the award of Achieved the requirements include selecting and using methods. At this level the trigonometric relationships for triangles involve nonright angled triangles. The evidence from calculations involving any of the methods from EN4 must be in the context of solving a problem and so need to have a purpose (for example determining a total area that will be subdivided). At all levels there is a requirement relating to the communication of the solutions. At Achieved level, the result of a numerical calculation only is insufficient, working is expected and students need to indicate what the calculated answer represents. At Merit level students need to clearly indicate what they are calculating and their solutions need to be linked to the context. At Excellence level the response needs to be clearly communicated with correct mathematical statements and students need to explain any decisions they make in the solution of the problem. 
Achieve 
Solve trigonometry problems requiring straightforward modelling of practical situations. 
Using: 
· sine rule 
· cosine rule 
· area of triangle 
· sectors and segments 
· circular measure, radians etc. 
Situations to be modelled could involve: 
· land measurement 
· navigation. 
Merit 
Solve trigonometry problems requiring modelling of practical situations. 
· Problems will be based on nonrightangled triangles where the choice of technique and the measurements are not easily identifiable, eg bearings 
Excellence 
Solve multistep trigonometry problems. 
Problems could include: 
· 2D representations of a 3D situation 
· Use of more than one trigonometric formula 
· Evaluation of the process and results of the practical task. 