Year 11 - Maths
Evaluating iterative formulas
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 evaluate and interpret iterative formula for various real-world situations.
Key Notes
- Iterative formulae use the previous iteration's output for this iteration's input
- A population can be estimated using an iterative formula
- Efficient use of the calculator makes this process much faster
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
- Some pupils want to clear their calculator display and type every single level of iteration in each time.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Iterative formulae use the previous iteration's output for this iteration's input. A population can be estimated using an iterative formula.
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: Some pupils want to clear their calculator display and type every single level of iteration in each time. Correction: Encourage the pupils to trust their 'Ans' button. Get them to work on an example whereby they physically type the input value in and type the whole formula again. Then get them to repeat the same question using the 'Ans' button. Time this if you can!
More Lessons In This Unit
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