Introduction to standard index form/teaching approach

Standard Index Form is a key idea for mathematicians and scientists. The notion that we choose to write numbers in this way requires some explanation. So in this activity pupils take part in an investigation⁽ⁱ⁾ on how standard index form works. This is a higher order⁽ⁱ⁾ problem solving context where students are encouraged to engage in mathematical thinking⁽ⁱ⁾. They may be involved in whole class⁽ⁱ⁾ or small group work⁽ⁱ⁾ discussion⁽ⁱ⁾, so they have a good opportunity to practice using mathematical language⁽ⁱ⁾ and questioning⁽ⁱ⁾. This means that students do not need to be able to explain their ideas in full: they can use the calculator's feedback to discover whether their ideas are correct or not. This is also an exciting way for pupils to realise an initial idea that fits the data may need to be extended when new data arises. This resource therefore aims to develop investigative skills, as well as introduce pupils to standard index form in a memorable way. The pupils can later use their knowledge of indices in discussion⁽ⁱ⁾ and group talk⁽ⁱ⁾ as they explain what is going on.