Question 1

What is NCEA AS 91027 about?

Accepted Answer

This standard asks you to solve algebra problems by using the right algebraic techniques, like expanding, factorising, solving equations, and rearranging formulas. You need to show you understand how these procedures work and can communicate your answers clearly using correct mathematical language and symbols.

Question 2

What do students need to do for AS 91027?

Accepted Answer

1. Select and use the correct algebraic procedure to solve each problem (expanding brackets, factorising, solving equations, rearranging formulas) 2. Show you know what different algebraic terms and concepts mean and can apply them correctly 3. Communicate your working and final answer using correct mathematical symbols and language 4. Work through problems logically, step by step, showing how different concepts connect 5. For Merit and Excellence: explain your reasoning and how your solution relates back to the original problem context

Question 3

What's the difference between Achieved, Merit, and Excellence for AS 91027?

Accepted Answer

Achieved: You correctly apply one or more algebraic procedures (like solving a linear equation or factorising) to get to the answer, showing you know what you're doing and using correct maths language. Merit: You select and carry out a logical sequence of steps to solve the problem, connect different concepts (like knowing when to expand versus factorise), and explain how your answer relates back to what the problem is asking. Excellence: You devised a strategy for solving the problem, identified which algebraic concepts were relevant, built a chain of clear logical reasoning, and communicated your insight using correct mathematical language throughout.

Question 4

What mistakes do students typically make in AS 91027?

Accepted Answer

1. Not showing working or only showing the final answer, which means examiners can't see if you understand the steps involved 2. Mixing up procedures—for example, trying to factorise when you should be expanding, or expanding when the problem asks you to rearrange a formula 3. Leaving answers unsimplified or stopping before the problem is fully solved (e.g., not simplifying a fraction or not solving all the way to get x =)

Algebraic procedures

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