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Information mostly for teachers; NZQA information and useful links for generating resources
Information mostly for teachers; NZQA information and useful links for generating resources
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Achievement Criteria breakdown
Achievement Criteria breakdown
Note that the Achievement Standard has not changed, but NZQA have slightly changed the annotated exemplars for this standard (2019).
At each level, the student has selected and used methods demonstrating knowledge of concepts and terms and communicated using appropriate representations. For Merit, this is "using relational thinking", and for Excellence this is "using extended abstract thinking".
Notice that students cannot be given a system of linear equations to solve; they must form some of the equations themselves.
The standard requires:
forming systems of simultaneous equations;
solving systems of simultaneous equations; and
the nature of solutions to systems.
At all levels, the solution should be in context.
Achieved
Achieved
Use, and define where necessary, appropriate variables for the problem.
Form a system of linear equations.
Solve a system of equations.
Briefly describe the nature of a solution, either geometrically or in context.
At Achieved, appropriate use of technology means using a graphics calculator to find the unique solution.
Achieved with Merit
Achieved with Merit
As for Achieved, but also:
works algebraically to find the solution
describes the nature of a system of equations, either algebraically or geometrically
Output from a graphics calculator or software (such as Autograph) is insufficient without supporting algebraic work.
Achieved with Excellence
Achieved with Excellence
As for Merit, but also some of:
describes the solution algebraically (as an equation of a line with a parameter)
Considers real world constraints on the solution
Suggests modifications to the equations in context to change the nature of the solutions
NZQA, Ministry of Education, and other 'official' stuff
NZQA, Ministry of Education, and other 'official' stuff
New Zealand Curriculum: Achievement Objective M8-8
Annotated exemplars - notice that new ones were published in 2019
TKI (exemplar tasks and conditions of assessment) - notice that NZQA no longer use the "Elaine's Equations" task...
Links
Links
Jake Wills has a practice assessment generator on his Maths NZ site. Generates a slightly different assessment every time.
The graphs on this website were generated with Autograph.
An online solver for systems of 3 equations with 3 unknowns that shows its working.
Link to all of my websites in one place.
Google Sites
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