Introduction to standard index form

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Lesson idea. teacher notes, powerpoint and an excel sheet

Teaching approach. The 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(ta) on how standard index form works. This is a higher order(ta) problem solving context where students are encouraged to engage in mathematical thinking(ta). They may be involved in whole class(ta) or small group work(ta) discussion(ta), so they have a good opportunity to practice using mathematical language(ta) and questioning(ta). 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(ta) and group talk(ta) as they explain what is happening. (edit)

Resource details
Title Introduction to Standard Index Form
Topic [[Topics/Standard Index Form|Standard Index Form]]
Teaching approach

[[Teaching Approaches/Investigation|Investigation]],  [[Teaching Approaches/Group talk|Group talk]],  [[Teaching Approaches/Higher order|Higher order]],  [[Teaching Approaches/Questioning|Questioning]],  [[Teaching Approaches/Whole class|Whole class]],  [[Teaching Approaches/Mathematical thinking|Mathematical thinking]],  [[Teaching Approaches/Language|Language]],  [[Teaching Approaches/Group work|Group work]],  [[Teaching Approaches/Discussion|Discussion]]

Learning Objectives

By the end of this lesson students should be able to:

  • Convert numbers between standard index form and ordinary form
  • Understand whether a number is in standard index form or not
Subject

[[Resources/Maths|Maths]]

Age of students / grade

[[Resources/Age 12-16|Age 12-16]],  [[Resources/6th form as a recap|6th form as a recap]],  [[Resources/Secondary|Secondary]],  [[Resources/KS4|KS4]],  [[Resources/KS3|KS3]]

Additional Resources/material needed

This was originally written for use with TI-82 Graphical Calculators, but nowadays new scientific calculators can also be used.


Other (e.g. time frame)

At least a 1 hour lesson

Files and resources to view and download

The page Introduction to standard index form/Teacher Notes contains the teacher notes (to view and download), a powerpoint and an excel document for one of the activities.