Prior Content: Simplifying Basic Expressions, Fractions, Properties of Numbers

Possible Next Steps: Algebraic Fractions, Solving Quadratics, Pythagoras

Contents

1.1 Introduction & Simplifying Surds

Teaching Videos, Exercises & Activities
Tutorial Videos

Corbett Maths Surds

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Video

K673: Simplify a Surd.

K678: Add or Subtract Surds With the Same Number Under the Square Root.

K679: Add or Subtract Surds that Require Simplifying.

K674: Simplify a Multiple of a Surd.

Dr Frost Slides & Activities

Dr Frost Slides (1-4 & 10)

Extra Questions
  • Dr Frost Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 673 Simplify a Surd.
  • K313c Write a surd in the form rt(a).
  • 678 Add or Subtract Surds With the Same Number Under the Square Root.
  • 679 Add or Subtract Surds that Require Simplifying.
  • 674 Simplify a Multiple of a Surd.
  • Combination of All

Surds Key Skills Section (for selecting more than one)

Extension Materials
Activities & Resources

1.2 Simplifying Expressions with Surds

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

Corbett Maths Surds Addition

Corbett Maths Surds Expanding Brackets

Online Platforms (with Videos & Exercises)
Activities
Worksheets
Dr Frost resources
Dr Frost Video

K675: Multiply Two Surds.

K676: Multiply Two Surds That Require Simplifying.

K677: Divide Two Surds.

K680: Expand a Single Bracket With Surds.

K681: Expand Two Brackets Involving Surds in the Form (a+rt(b))(c+rt(b)).

K682: Expand Two Brackets With Surds, Where Subsequent Simplification of Surds Required.

K683: Expand Two Brackets Involving Multiples of Surds.

K684: Square a Bracket Involving Surds.

Dr Frost Slides & Activities

Dr Frost Slides (5)

Extra Questions
  • Dr Frost Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 675 Multiply Two Surds.
  • 676 Multiply Two Surds That Require Simplifying.
  • 677 Divide Two Surds.
  • K314i Multiply or Divide Surds with Algebra.
  • 680 Expand a Single Bracket With Surds.
  • 681 Expand Two Brackets Involving Surds in the Form (a+rt(b))(c+rt(b)).
  • 682 Expand Two Brackets With Surds, Where Subsequent Simplification of Surds Required.
  • 683 Expand Two Brackets Involving Multiples of Surds.
  • 684 Square a Bracket Involving Surds.
  • Combination of All

Surds Key Skills Section (for selecting more than one)

EXTENSION MATERIALS

2.1 Rationalising Simple Surds

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

Corbett Maths Rationalising Denominators (Up to 1:48)

Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost resources
Dr Frost Video

K685: Rationalise the Denominator of a Fraction Where the Denominator is a Single Surd.

Dr Frost Slides & Activities

Dr Frost Slides (7-12)

Topic Tests
  • Standard Test
Extra Questions
  • Dr Frost Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 685 Rationalise the Denominator of a Fraction Where the Denominator is a Single Surd.

Surds Key Skills Section (for selecting more than one)

EXTENSION MATERIALS
  •  

2.2 Rationalising Tricky Surds

TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos

Corbett Maths Rationalising Denominators (Up to 1:48)

Online Platforms (with Videos & Exercises)
Activities
Worksheets
Dr Frost resources
Dr Frost Video

K686: Rationalise the Denominator of a Fraction in the Form (a+rt(b))/(c+rt(d)).

K687: Rationalise the Denominator of a Fraction in the Form (a+b*rt(c))/(d+e*rt(f)).

Dr Frost Slides & Activities

Dr Frost Slides (13)

Topic Test
  • Advanced Test
Extra Questions
  • Dr Frost Questions
Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

  • 686 Rationalise the Denominator of a Fraction in the Form (a+rt(b))/(c+rt(d)).
  • 687 Rationalise the Denominator of a Fraction in the Form (a+b*rt(c))/(d+e*rt(f)).
  • Combination of All

Surds Key Skills Section (for selecting more than one)

Further Practice
  • Practise Questions
EXTENSION MATERIALS

Whole Topic Summary Resources (Including Past Paper Questions)

WW AQA GCSE Surds
WW Edexcel GCSE Surds
WW OCR GCSE Surds
WW Edexcel IGCSE Surds

Download Surds PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)

Other Whole Topic Resources

Worksheets