(All answers are provided)
I've designed this lesson to build up students knowledge of iteration and iterative processes.
It begins with a quick stop clock starter to review skills they should already know and will need to use throughout the lesson.
The it leads to a discussion about what iteration is using real life concepts such as painting a door. This leads into a slide and discussion on the maths definition of what iterative processes are.
Non calculator section
Students shouldn't use a calculator/ ans button for these first questions so they can grasp the concept of iteration by physically doing substituting the previous answer in.
1) There are two basic iteration examples, fully animated, for students to follow through with yourself. 2) This the leads to 3 questions for the students to try for them selves.
Finding x1, x2 and x3
1) Explanation of where to find the ans button on your calculator and how it works. It's useful to get the students to do it on their calculators along with the PowerPoint.
2) 2 examples of iterative process questions that require a calculate.
3) 5 Multiple Choice Questions.
Estimating a solution
1) 2 fully animated examples on estimating a solution to a required number of decimal places.
2) 2 questions for the students to try themselves.
Rearranging to make an iterative formula
1) 3 different example rearrangements of the same formula
2) Odd one out. Students need to spot which iterative formula isn't a rearrangement of the equation.
The resource then in includes a differentiated focused activity which progressively gets harder. This gives students a chance to master and enhance their skills. It includes 5 separate sections a skill 1, 2 & 3 and a stretch. These are all displayed on the same slide for ease of use, however these questions are quite wordy and it may be worth while to print the slide off as a worksheet.
Then to finish there is an application on how this could be seen in an exam situation with exam style questions including answers.
I hope you find this resource as useful as my students have.