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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
      • 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
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  • 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
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        • Unit 10 - Functions 3
        • Unit 11 - Financial Maths
        • Unit 12 - Statistics 3
        • Unit 13 - Logic
      • IB Studies Revision Homework
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      • 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
        • 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
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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 9 - Coordinate Geometry

Unit Objectives
​
Prior Knowledge/For Review – Students should be able to:
  • Solve inequalities and represent solutions on a number line
  • List integers which satisfy an inequality
  • Plot points and read from a graph in the Cartesian plane
  • Find the gradient of a line segment
  • Find the equation of a straight line as   y = mx + c, y = k   or   x = k
 IGCSE Core Learning Objectives – Students should be able to:
  • Write, show and interpret inequalities, including those on the real number line
  • Find solutions of simple linear inequalities (Video 9.01) (Video 9.02)
  • Calculate the distance between two points (Video 9.03)
  • Find the midpoint of a line segment (Video 9.04)
  • Know the relationship between the gradients of parallel lines  (Video 9.05)
  • Find the equation of a straight line given; a graph (Video 9.06), gradient and a point (Video 9.07), equation of parallel line and a point, two points (Video 9.08)
IGCSE Extended Learning  Objectives – Students should be able to:
  • Find the solution of linear inequalities (Video 9.01) (Video 9.02)
  • Plot linear Inequalities on the Cartesian plane  (including on GDC) (Video 9.09)
  • Calculate the gradient of perpendicular lines (Video 9.10) (Video 9.11)
  • Find the equation of a straight line as ax+by=d 
Lesson Resources​
0. Coordinate Geometry Work Booklet
Coordinate Geometry Booklet
1. y=mx+c
Lesson
2. General Form
Lesson
3. Satisfying Equations
Lesson
4. Inequalities
Lesson
5. Solving Linear Inequalities
Lesson
Treasure Hunt
6. Parallel Lines and Equations Through Points
Lesson
7. ​Equation Through Two Points
Lesson
8. Midpoints and Distances
Lesson
9. Perpendicular Lines
Lesson
10. Sketching Regions
Lesson
11. Describing Regions
Lesson
12. Unit Review
Answers
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