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    • IGCSE Unit Resources >
      • Unit 0 - Simultaneous
      • Unit 0 - Regression
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      • Unit 2 - Sets
      • Unit 3 - Indices and Surds
      • Unit 4 - Circle Theorems
      • Unit 5 - Formulae
      • Unit 6 - Vectors
      • Unit 7 - Quadratic Equations
      • Unit 8 - Tree Diagrams
      • Unit 9 - Coordinate Geometry
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      • Unit 12 - Composite and Inverse Functions
      • Unit 13 - Similarity
      • Unit 14 - Variation
      • Unit 15 - Algebraic Fractions
      • Unit 16 - Advanced Trigonometry
      • Unit 17 - Quadratic Functions
      • Unit 18 - Volumes and Surface Area
      • Unit 19 - Graphs
      • Unit 20 - Logarithms
      • Unit 21 - Transforming Graphs
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  • IB
    • Mathematical Studies >
      • MSSL Unit Resources >
        • Unit 1 - Number Review
        • Unit 2 - Sequences and Series
        • Unit 3 - Statistics 1
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        • Unit 5 - Trigonometry and Mensurations
        • Unit 6 - Functions 2
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        • Unit 8 - Differentiation
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        • Unit 13 - Logic
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      • HL Unit Resources >
        • Unit 1 - Algebra
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        • Unit 5 - Statistics and Probability
        • Unit 6 - Differential Calculus
        • Unit 7 - Discrete Probability Distributions
        • Unit 8 - Integral Calculus
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        • Unit 11A - Statistics Option
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        • Unit 12 - Vectors
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      • AASL Unit Resources >
        • Unit 0 - Proof
        • Unit 1 - Algebra Functions Basics
        • Unit 2 - Functions, Equations and Inequalities
        • Unit 3 - Sequences and Series
        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Trigonometric Functions and Equations
        • Unit 6 - Differentiation 1
        • Unit 7 - Statistics
      • AASL Revision Materials
      • AASL Key Skills Generator

Unit 3 - Indices and Surds

Unit Objectives
Prior Knowledge/For Review – Students should be able to:
  • Know squares and root up to 12, recognise cube numbers up to 5
  • Carry out basic  calculation of powers and roots (Video 3.01)
  • Know the meaning of integer powers and the basic rules of indices; use the addition and subtraction index laws  (Video 3.02)
IGCSE Core Learning Objectives – Students should be able to:
  • Use the vocabulary and notation of different sets of numbers, natural numbers, integers, rational numbers, irrational numbers, real numbers, primes, square numbers, cube numbers, triangle numbers (Video 3.03)
  • Simplify indices using the basic laws – multiplying and dividing e.g. 5x2 x 3x4 (Video 3.04)
IGCSE Extended Learning  Objectives – Students should be able to:
  • Know the meaning of fractional powers
  • Know and use all the index laws, including with fractional and negative indices (Video 3.04) (Video 3.05) (Video 3.06)
  • Simplify expressions with surds (Video 3.07) (Video 3.08) (Video 3.09) (Video 3.10)
  • Rationalise the denominator, including by using conjugate (Video 3.11)
Lesson Resources​
0. Indices and Surds Work Booklets
Indices Booklet
Surds Booklet
1. Indices Basics
Lesson
2. Indices and Coefficients
Lesson
3. Negative Indices
Lesson
4. More Negative Indices
Lesson
5. ​Fractional Indices
Lesson
6. ​Indices Review
Lesson
Activities
7. ​Laws of Surds
Lesson
8. Simplifying Surds
Lesson
Activity
9. Adding Surds and Brackets
Lesson
10. Rationalising the Denominator
Lesson
11. Surds Review
Poster
Worksheet
For a whole range of mathematical activities for use in and out of the classroom, including random question generators, Bingo generators and worksheet generators, as well as computer based investigations and activities check out my main site: www.interactive-maths.com.

​If you are interested in codes, ciphers and codebreaking, then check out my secondary site, Crypto Corner, dedicated to providing information about all types of ciphers, as well as tools for encrypting, decrypting and breaking messages.
  • Home
  • IGCSE
    • IGCSE Unit Resources >
      • Unit 0 - Simultaneous
      • Unit 0 - Regression
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • Unit 3 - Indices and Surds
      • Unit 4 - Circle Theorems
      • Unit 5 - Formulae
      • Unit 6 - Vectors
      • Unit 7 - Quadratic Equations
      • Unit 8 - Tree Diagrams
      • Unit 9 - Coordinate Geometry
      • Unit 10 - Sequences
      • Unit 11 - Statistical Diagrams
      • Unit 12 - Composite and Inverse Functions
      • Unit 13 - Similarity
      • Unit 14 - Variation
      • Unit 15 - Algebraic Fractions
      • Unit 16 - Advanced Trigonometry
      • Unit 17 - Quadratic Functions
      • Unit 18 - Volumes and Surface Area
      • Unit 19 - Graphs
      • Unit 20 - Logarithms
      • Unit 21 - Transforming Graphs
    • IGCSE Revision Materials
  • IB
    • Mathematical Studies >
      • MSSL Unit Resources >
        • Unit 1 - Number Review
        • Unit 2 - Sequences and Series
        • Unit 3 - Statistics 1
        • Unit 4 - Functions 1
        • Unit 5 - Trigonometry and Mensurations
        • Unit 6 - Functions 2
        • Unit 7 - Statistics 2
        • Unit 8 - Differentiation
        • Unit 9 - Sets and Probability
        • Unit 10 - Functions 3
        • Unit 11 - Financial Maths
        • Unit 12 - Statistics 3
        • Unit 13 - Logic
      • IB Studies Revision Homework
      • MSSL Revision Materials
      • Studies Exam Question Practice
    • Mathematics Higher Level >
      • HL Unit Resources >
        • Unit 1 - Algebra
        • Unit 2 - Functions & Equations
        • Unit 3 - Trigonometry
        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Statistics and Probability
        • Unit 6 - Differential Calculus
        • Unit 7 - Discrete Probability Distributions
        • Unit 8 - Integral Calculus
        • Unit 9 - Continuous Probability Distributions
        • Unit 10 - Complex Numbers
        • Unit 11A - Statistics Option
        • Unit 11B - Sets and Groups Option
        • Unit 12 - Vectors
      • HL Revision Materials >
        • HL Weekly Quizzes
    • Mathematics AA SL >
      • AASL Unit Resources >
        • Unit 0 - Proof
        • Unit 1 - Algebra Functions Basics
        • Unit 2 - Functions, Equations and Inequalities
        • Unit 3 - Sequences and Series
        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Trigonometric Functions and Equations
        • Unit 6 - Differentiation 1
        • Unit 7 - Statistics
      • AASL Revision Materials
      • AASL Key Skills Generator