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    • IGCSE Unit Resources >
      • Unit 0 - Simultaneous Equations
      • Unit 0 - Regression
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • Unit 2 - Graphs and GDC
      • Unit 3 - Indices and Surds
      • Unit 4 - Circle Theorems
      • Unit 5 - Formulae
      • Unit 6 - Vectors
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      • 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
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      • 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
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        • Unit 13 - Logic
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    • Mathematics Higher Level >
      • HL Unit Resources >
        • Unit 1 - Algebra
        • Unit 2 - Functions & Equations
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        • Unit 4 - Exponentials and Logarithms
        • Unit 5 - Statistics and Probability
        • Unit 6 - Differential Calculus
        • Unit 7 - Discrete Probability Distributions
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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
        • Unit 8 - Probability
        • Unit 9 - Mensuration
        • Unit 10 - Differentiation 2
        • Unit 11 - Integration
      • AASL Revision Materials
      • AASL Key Skills Generator

Unit 4 - Circle Theorems

Unit Objectives
​
Prior Knowledge/For Review – Students should be able to:
  • Find the area and circumference of a circle
  • Find the area and perimeter of a sector
  • Vocabulary of circles: radius, diameter, circumference, sector, arc, semicircle
  • Find missing angles on parallel lines
IGCSE Core Learning Objectives – Students should be able to:
  • Use and interpret the vocabulary of circles
  • Know and use the following properties of circles:
           o    Tangent is perpendicular to radius at the point of contact (Video 4.01)
           o    Tangents from a point are equal (Video 4.02)
           o    Angle in a semicircle is right angle(Video 4.03)

IGCSE Extended Learning  Objectives – Students should be able to:
  • Know and use the following properties of circles: (4.7)
           o    Angle at the centre is twice angle at the circumference (Video 4.04)
           o    Angles at the circumference on the same arc are equal(Video 4.05) 
           o    Opposite angle in cyclic quadrilateral add to 180(Video 4.06)
  • Solve problems involving area, circumference and properties of circles, arcs and sectors (Video 4.07) (Video 4.08) 
Lesson Resources​
0. Circle Theorems Booklets
Circle Theorems Booklet
1. Angles in Semicircles
Lesson
2. Angle at the Centre vs Angle at the Circumference
Lesson
3. Angles in the Same Segment
Lesson
4. Angles in Cyclic Quadrilaterals
Lesson
5. Tangents
Lesson
6. Circle Theorems Review
Lesson
Poster
Poster
7. ​Sectors of Circles
Lesson
8. UNIT REVIEW
Lesson
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 Equations
      • Unit 0 - Regression
      • Unit 1 - Percentages
      • Unit 2 - Sets
      • Unit 2 - Graphs and GDC
      • 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
        • Unit 8 - Probability
        • Unit 9 - Mensuration
        • Unit 10 - Differentiation 2
        • Unit 11 - Integration
      • AASL Revision Materials
      • AASL Key Skills Generator