A Range of ....

As students begin completing assessment tasks I have had a number of queries about what is meant by a range of... and a selection of... in EN4 of the the maths & stats standards.

I dug into the archives and found the following in a National Newsletter from 2016  (P. 2)  It is my understanding nothing has changed.
  •  At Level 1, “a selection of....” means 3 or more methods that are relevant and contribute towards solving the problem. 
  • At Level 2 & 3, “a range of...” means 2 or more methods that are relevant and contribute towards solving the problem. 
  • For statistics standards all bullet points must be present in the report for achieved. 
What constitutes a method in L1 and L2 trig standards?, is another common query
For 91032: 
Related image
  • Using Sin, Cos or Tan to find a side is a method
  • Using Sin, Cos or Tan to find an angle is another
  • Taking measurements at a precision appropriate to the task is a method. The students must choose what to measure and use their measurement in solving the problem. 
  • Using Pythagoras to find a hypotenuse is a method
  • Using Pythagoras to  find a short side counts as a separate method. 
  • Utilising similar shapes 
For 91259: 
  • Using the Sine Rule to find a side or angle is one method 
  • Using Cosine Rule to find side or angle is another method 
remaining methods include finding ..
  • Length of an arc of a circle 
  • Area of a sector of a circle
  • Area of a triangle
The use of a Triangle Solver app would be appropriate, however the students must clearly communicate their thinking to show the trigonometric relationship.

From the conditions of assessment 
1. “Students are expected to have access to appropriate technology”. For statistics standards this would include statistical software. For mathematics standards it might include the use of Geogebra or Desmos.
2. “Care needs to be taken to allow students opportunities to present their best evidence against the standard(s) that is free from unnecessary constraint”.

Feedback from teachers whose students are creating their own reference sheets report increased engagement. Are you giving your students the opportunity to create their own reference sheet for internal assessments? These sheets must be the students’ own work and not compromise the authenticity of the assessment.

3. “Students are expected to have access to appropriate technology. For statistics standards this would include statistical software.” All graphs for statistics standards could be generated by technology.

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