Prior Content: Basic Operations +-x/
Possible Next Steps: Simplifying Basic Expressions, Differentiation, Properties of Numbers, Standard Form
Contents
- 1.1 Basic Laws of Indices
- 1.2 The Power Law Expanded (ab)n
- 2.1 Power of 0
- 3.1 Negative Powers
- 3.2 Fractional Powers (1 as numerator)
- 3.3 Fractional Powers numerator not 1, possibly negative
- 4.1 Rewriting Bases
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Basic Laws of Indices
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Laws of Indices
Online Platforms (with Videos & Exercises)
Activities & Resources
- Dr Austin Maths
- Investigating Algebraic Powers Activity (Editable Word | PDF | Answers)
- Maths 4 Everyone
- Pixi Maths
- Multiplication, Division & Power Law ppt
- Division Law Tarsia & Solution
Worksheets
- Dr Austin Maths
- Laws of Indices Practice Strips (Editable Word | PDF | Answers)
- Laws of Indices Odd One Out (Editable Word | PDF | Answers)
- Laws of Indices Match-Up (Editable Word | PDF | Answers)
- Simplifying Using Power Laws Practice Strips (Editable Word | PDF | Answers)
- Simplifying Using Power Laws Match-Up (Editable Word | PDF | Answers)
- Corbettmaths
- Laws of Indices Practice Questions & Solutions
- Laws of Indices Worksheet & Solutions
- Laws of Indices AQA Level 2 Practice Questions (Q1-5) & Solutions
- Daniel Burke Indices Decode the Joke PDF or ppt
- Maths 4 Everyone
- Pixi Maths
- Teachit.co.uk Worksheet
Dr Frost Resources
Dr Frost Video
K432: Laws of Indices for Multiplying Powers.
K433: Laws of Indices for Dividing Powers.
K434: Laws of Indices for Raising a Power to a Power.
K435: Expand a Single Bracket Using Index Laws.
K149: Multiply Algebraic Terms With Powers.
K151: Divide Algebraic Terms With Powers.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 432 Laws of Indices for Multiplying Powers.
- 433 Laws of Indices for Dividing Powers.
- 434 Laws of Indices for Raising a Power to a Power.
- K206d: Laws of indices for multiplying and dividing powers. (all in one)
- 149 Multiply Algebraic Terms With Powers.
- 151 Divide Algebraic Terms With Powers.
- 435 Expand a Single Bracket Using Index Laws.
- 718 Laws of Indices for Multiplying and Dividing Powers.
- 766 Simplify a Fraction Using Index Laws
- 967 Write a Fraction as a Collection of Terms by Splitting the Fraction.
- Combination of All
Formulae and Simplifying Expressions Key Skills Section (for selecting more than one)
Powers, Roots & Laws of Indices Key Skills Section (for selecting more than one)
Extension Materials
1.2 The Power Law Expanded (ab)n
Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Simplifying Expressions Involving Brackets and Powers (Editable Word | PDF | Answers)
- Corbettmaths
- Laws of Indices Worksheet (Q6) & Solutions
- Laws of Indices AQA Level 2 Practice Questions (Q6-11) & Solutions
- Maths 4 Everyone
Dr Frost Resources
Dr Frost Video
K439: Raise an Algebraic Term to a Positive Integer Power.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 439 Raise an Algebraic Term to a Positive Integer Power.
Powers, Roots & Laws of Indices Key Skills Section (for selecting more than one)
Extension Materials
Videos & Other Multimedia
2.1 Power of 0
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
Worksheets
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
No Key Skills Yet
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.1 Negative Powers
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Negative Indices (Including Some Fractional)
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
Worksheets
- Dr Austin Maths
- Negative Indices Practice Strips (Editable Word | PDF | Answers)
- Negative Indices Decode the Joke (Editable Word | PDF | Answers)
- Corbettmaths
Dr Frost resources
Dr Frost Video
K436: Raise a Number to a Negative Power.
K437: Raise a Fraction to a Negative Power.
K440: Raise an Algebraic Term to a Negative Power.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- 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
- 436 Raise a Number to a Negative Power.
- 437 Raise a Fraction to a Negative Power.
- 440 Raise an Algebraic Term to a Negative Power.
- K207d Write a Fraction With an Algebraic Term on the Denominator as a Power of x.
- Combination of All
Powers, Roots & Laws of Indices Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.2 Fractional Powers (1 as numerator)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Fractional Indices (Up to 2:41)
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
Worksheets
- Dr Austin Maths
- Fractional Indices Practice Strips (Editable Word | PDF | Answers)
- Fractional Indices Match-Up (Editable Word | PDF | Answers)
- Fractional and Negative Indices True or False (Editable Word | PDF | Answers)
- Corbettmaths
Dr Frost resources
Dr Frost Video
K689: Raise a Number to a Fractional Power. (Up to 1:25)
K691: Raise a Fraction to a Fractional Power. (Up to 0:34)
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- 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 (Ignore Numerator not 1)
- 689 Raise a Number to a Fractional Power.
- 691 Raise a Fraction to a Fractional Power.
- 693 Raise an Algebraic Term to a Fractional Power.
- Combination of All
Powers, Roots & Laws of Indices Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.3 Fractional Powers numerator not 1, possibly negative
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Fractional Indices (From 2:41)
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
Worksheets
- Dr Austin Maths
- Harder Indices Practice Strips (Editable Word | PDF | Answers)
- Harder Indices Odd One Out (Editable Word | PDF | Answers)
- Harder Indices Crack the Code (Editable Word | PDF | Answers)
- Harder Indices Match-Up (Editable Word | PDF | Answers)
- Algebraic Indices Practice Strips (Editable Word | PDF | Answers)
- Corbettmaths
- Negative & Fractional Indices Practice Questions & Solutions
- Negative Indices Worksheet (Q9-10) & Solutions
- Fractional Indices Worksheet (Q3 Onwards) & Solutions
- Negative & Fractional Indices AQA Level 2 Practice Questions & Solutions
- Maths 4 Everyone
- Pixi Maths
- WW PPQ Compilations
Dr Frost resources
Dr Frost Video
K689: Raise a Number to a Fractional Power.
K691: Raise a Fraction to a Fractional Power.
K693: Raise an Algebraic Term to a Fractional Power.
K690: Raise a Number to a Fractional and Negative Power.
K692: Raise a Fraction to a Fractional and Negative Power.
K694: Raise an Algebraic Term to a Fractional and Negative Power.
K438: Determine an Unknown Power e.g. 2y=1/8.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- 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 (Ignore Numerator not 1)
- 689 Raise a Number to a Fractional Power.
- 691 Raise a Fraction to a Fractional Power.
- 693 Raise an Algebraic Term to a Fractional Power.
- 690 Raise a Number to a Fractional and Negative Power.
- 692 Raise a Fraction to a Fractional and Negative Power.
- 694 Raise an Algebraic Term to a Fractional and Negative Power.
- 438 Determine an Unknown Power e.g. 2y=1/8.
- 762 Write a Collection of Terms in the Form axb.
- Combination of All
Powers, Roots & Laws of Indices Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
4.1 Rewriting Bases
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Equations with Indices (From 6:19)
Maths By Fives Exponential Equations Examples
Online Platforms (with Videos & Exercises)
Activities
Worksheets
- Access Maths
- Dr Austin Maths
- Change of Base Practice Strips (Editable Word | PDF | Answers)
- Corbettmaths
- Laws of Indices AQA Level 2 Practice Questions (Q11 Onwards) & Solutions
- Just Good Maths “Simplify to powers of 3 or 5, then apply laws of indices” Worksheet (TES Account Required)
- Maths 4 Everyone
- mathshelper.co.uk Equating Powers Worksheet
- WW PPQs Compilation Rewriting Bases Word Doc or PDF
Dr Frost resources
Dr Frost Video
Whole Topic Video
K767: Use Change of Base to Form a Linear Formula.
K438: Determine an Unknown Power e.g. 2y=1/8.
Dr Frost Slides & Activities
- Slides (42-45)
- Worksheet (Word) or PDF
Topic 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
- 713 Solve Equations Involving Powers of the Same Base, Leading to a Linear Equation.
- 721 Write the Product of Powers in the Form ab by Changing the Base.
- 767 Use Change of Base to Form a Linear Formula.
- 438 Determine an Unknown Power e.g. 2y=1/18.
- Combination of All
Powers, Roots & Laws of Indices (for selecting more than one)
Further Practice
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Indices PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Worksheets
- Dr Austin Maths
- Powers and Roots Revision Practice Grid (Editable Word | PDF | Answers)
- Corbettmaths
- Equations Involving Indices/Roots AQA Level 2 Practice Questions & Solutions
- Maths 4 Everyone