Evaluating iterative formulas
I can evaluate and interpret iterative formula for various real-world situations.
Evaluating iterative formulas
I can evaluate and interpret iterative formula for various real-world situations.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- 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
Keywords
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 misconception
Some pupils want to clear their calculator display and type every single level of iteration in each time.
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!
To help you plan your year 11 maths lesson on: Evaluating iterative formulas, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Evaluating iterative formulas, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Iteration unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions
$$\text{f}(x)=3x-7$$ -
$$x_{n+1}=3x_{n}-7$$
$$\text{f}(x)=3x^2-7$$ -
$$x_{n+1}=3(x_{n})^2-7$$
$$\text{f}(x)=3x^2-7x$$ -
$$x_{n+1}=3(x_{n})^2-7(x_{n})$$
$$\text{f}(x)=x^3-7$$ -
$$x_{n+1}=(x_{n})^3-7$$
$$\text{f}(x)=x^3-7x^2$$ -
$$x_{n+1}=(x_{n})^3-7(x_{n})^2$$