New to PG?
Start here
BooksBusinessComputingDesign & TechnologyEnglishHumanitiesLanguagesMathsPEScienceClearReviseAI TutorAbout
Back to All Units

Mastery for GCSE Edexcel

Unit 22: Rational and irrational numbers

Higher

22

Inside the Unit...

Areas Covered

  • Lesson 1: Indicies
  • Lesson 2: Fractional indices
  • Lesson 3: Recurring decimals
  • Lesson 4: Error intevals
  • Lesson 5: Upper and lower bounds
  • Lesson 6: Simplifying surds
  • Lesson 7: Rationalising surds
  • Unit assessment

There are 6 exercise sheets and an examination-style assessment test, each with answers included in this unit.

Mathematics Mastery

Our resources apply the principles of Mastery throughout, creating a rich and deep learning experience. Find out more about Mastery with our quick guide.

Mathematics Mastery

Summary

This final number unit in the series collects together number topics of surds, error bounds, fractional and negative indices and recurring decimals.  The first two lessons expand on earlier work on indices by developing the use of the index laws and the understanding and use of fractional and negative indices.  Recurring and terminating decimals are explored in lesson 3 and students convert a recurring decimal to a fraction.  Work on error intervals including specifying them due to rounding or truncation using inequality notation, leads on to defining and finding upper and lower bounds of approximated numbers. Students give answers to an appropriate degree of accuracy by consideration of bounds.  The final two lessons in the unit explore surds; their notation and the manipulation of them using the four rules.  Rationalising of a denominator involving a surd is dealt with in the final lesson.

What's included in the toolkit?

Teachers' Toolkit

The GCSE units have been written to satisfy the specification for the Edexcel 1MA1 Maths GCSE. Each unit contains:

  • PowerPoint slides for each component
  • Detailed lesson plans
  • Learning objectives and outcomes
  • Worksheets and homework activities with answers
  • End-of-unit, exam-style assessment test with answers
  • Other material and links to online resources

What people say...

“
”

Thank you for your excellent resources - the amount of time the resources save is brilliant!

Daren Craddock. Head of Computing, Hill House School

“
”

The worksheets are well written and the students seemed comfortable with the format. Some interesting questions too, which fit well with the new GCSE course.

Tamsin Woolford. Mathematics teacher, Clayesmore School

Relevant Textbooks

Inside the Unit...

  • Areas Covered

    • Lesson 1: Indicies
    • Lesson 2: Fractional indices
    • Lesson 3: Recurring decimals
    • Lesson 4: Error intevals
    • Lesson 5: Upper and lower bounds
    • Lesson 6: Simplifying surds
    • Lesson 7: Rationalising surds
    • Unit assessment

    There are 6 exercise sheets and an examination-style assessment test, each with answers included in this unit.

    Mathematics Mastery

    Our resources apply the principles of Mastery throughout, creating a rich and deep learning experience. Find out more about Mastery with our quick guide.

    Mathematics Mastery

  • How to order

    1. Add individual units to a draft order or download a blank order form below to complete manually

    2. Using a draft order you can either:

    1. Save your order online
      (registration or log in required)
    2. Email us your complete order
      (registration or log in required)
    3. Create a PDF
      (to fax or email at a later date)

    Download blank order form

    PDF Word

  • Unit Pricing and Discounts

    Each unit is individually priced for LIFE. Please view each unit for detail. 

    Discounts are cumulative based on the total of units licenced to your department.

    All prices subject to further discounts and VAT.

    There are no annual renewal fees.

    2-5 units 10% discount
    6-11 units 15% discount
    12-23 units 20% discount
    24+ units 25% discount