Question 1

What is NCEA AS 91269 about?

Accepted Answer

This standard asks you to solve real-world and maths problems by setting up and solving pairs of equations (called systems of equations). Some of these equations might be linear (straight-line) and some might be non-linear (curved), and you need to find the values that satisfy all equations at once.

Question 2

What do students need to do for AS 91269?

Accepted Answer

1. Select an appropriate method to form a pair of simultaneous equations from the problem (which may include linear and non-linear equations) 2. Solve the system of equations correctly using a method such as substitution, elimination, or graphing 3. Demonstrate knowledge of how simultaneous equations work and use correct mathematical terminology 4. Interpret and explain what your solution means in the context of the original problem 5. Show your working clearly using appropriate mathematical notation and representations

Question 3

What's the difference between Achieved, Merit, and Excellence for AS 91269?

Accepted Answer

Achieved: You correctly set up and solve a system of equations from a problem and state the answer, showing your method. Merit: You select an appropriate method, solve accurately, connect your solution back to the problem context, and explain your reasoning using clear mathematical language. Excellence: You develop a logical strategy for solving the problem, identify key concepts relevant to the context, communicate mathematical insight about why your method works, and generalise your findings beyond just the specific problem.

Question 4

What mistakes do students typically make in AS 91269?

Accepted Answer

1. Not relating the mathematical answer back to what it means in the original problem context 2. Failing to show working or using unclear methods that make it hard to follow the solution 3. Making errors in the algebraic manipulation when solving the system of equations

Systems of equations

Your assessment resources

Videos & study resources

More in this subject

Other Mathematics - Statistics standards · Level 2 · Year 12

Next year — Mathematics - Statistics Level 3 · Year 13

Foundations — Mathematics - Statistics Level 1 · Year 11

Related standards