Year 11 - Maths
Problem solving with iteration
Iteration
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils continue to explore composite functions and develop understanding of iteration, building on their work on functions and proof.
Lesson Summary
You will learn to use your knowledge of iteration to solve problems.
Key Notes
- Quadratics can have their solutions estimated using iteration
- This can be helpful to quickly determine where the solutions are likely to be
- It can be used to check any solutions
Vocabulary To Learn
- Iteration: Iteration is the repeated application of a function or process in which the output of each iteration is used as the input for the next iteration.
Common Mistakes To Avoid
- An iterative formula can always be used to find the solutions to an equation.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Quadratics can have their solutions estimated using iteration. This can be helpful to quickly determine where the solutions are likely to be.
2. Use this key word in a maths sentence and explain it clearly. 'Iteration'
Iteration is the repeated application of a function or process in which the output of each iteration is used as the input for the next iteration. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: An iterative formula can always be used to find the solutions to an equation. Correction: This lesson addresses limitations of iteration. Some formulas will cause an error becasue we are unable to evaluate the square root of a negative or divide by 0. Other formulas may not converge. Different values of $$x_0$$ produce different results.
More Lessons In This Unit
Browse all guides in the Year 11 Maths guide library.