Exam-style question
Try this first
Which response best matches the A-level Maths objective on solving equations approximately using simple iterative methods?.
- A.I2: choose the method that matches solving equations approximately using simple iterative methods
- B.Use any familiar GCSE calculation even if it ignores solving equations approximately using simple iterative methods
- C.Write only the final answer without showing the mathematical method
- D.Change the notation or restrictions to make the algebra look simpler
Model answer
What a good answer should say
- The correct answer is I2: choose the method that matches solving equations approximately using simple iterative methods.
- This option is best because identify the mathematical structure, choose a valid method, and justify the final statement, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: I2 Solve equations approximately using simple iterative methods; draw associated cobweb and staircase diagrams; solve equations using the Newton-Raphson method and other recurrence relations of the form x_(n+1) = g(x_n); understand how such methods can fail..
Explanation
Why this works
Use the explanation to connect the worked answer back to I2 Solve equations approximately using simple iterative methods; draw associated cobweb and staircase diagrams; solve equations using the Newton-Raphson method and other recurrence relations of the form x_(n+1) = g(x_n); understand how such methods can fail..
I2: choose the method that matches solving equations approximately using simple iterative methods is the correct option. It directly supports solving equations approximately using simple iterative methods by requiring the student to identify the mathematical structure, choose a valid method, and justify the final statement.
The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.