Name: CAMBRIDGE IGCSE Mathematics - 0580 - Basem HajOmar
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CAMBRIDGE IGCSE Mathematics – 0580 – Basem HajOmar

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Basem HajOmar

High school Mathematics teacher

Course Type	Full Course
Program	British
Level	IGCSE O-Level
Subject	Mathematics

Course Curriculum

General
- Course Syllabus
Topic 1 / Number
- T1 C1- Facts and types of numbers
- T1 C1- Facts and types of numbers
- T1 C2 - Fractions
- T1 C2 - Fractions
- T1 C3 - Arrange Values in order
- T1 C3 - Arrange Values in order
- T1 C4 - Approximation/Estimation/standard form
- T1 C4 - Approximation/Estimation/standard form
- T1 C5 - Limits of accuracy
- T1 C5 - Limits of accuracy
- T1 C6 - Ratios
- T1 C6 - Ratios
- T1 C7 - Proportions
- T1 C7 - Proportions
- T1 C8 - Percentages
- T1 C8 - Percentages
- T1 C9 - Simple and compound Interest
- T1 C9 - Simple and compound Interest
- T1 C10 - Time distance and speed
- T1 C10 - Time distance and speed
- T1 C11 - Paper 4 questions
- T1 C11 - Paper 4 questions
- T1 C12 Past paper questions on Topic 1 - Numbers
- T1 C12 Past paper questions on Topic 1 - Numbers
- T1 C13 - Surds
- T1 C13 - Surds
- T1 C14 - Rationalising
- T1 C14 - Rationalizing
Topic 2 / Algebra
- T2 C1 Collecting like term and expansion
- T2 C1 Collecting like term and expansion
- T2 C2 Factorisation
- T2 C2 Factorization
- T2 C3 Completing the square
- T2 C3 Completing the square
- T2 C4 Linear Equations
- T2 C4 Linear Equations
- T2 C5 Quadratic equations solved by factorising
- T2 C5 Quadratic equations solved by factorizing
- T2 C6 Quadratic Equations - Quadratic formula
- T2 C6 Quadratic Equations - Quadratic formula
- T2 C7 Quadratic Equations - Solving by completing square
- T2 C7 Quadratic Equations - Solving by completing square
- T2 C8 Simultaneous Equations
- T2 C8 Simultaneous Equations
- T2 C9 Simultaneous equations
- T2 C9 Simultaneous equations
- T2 C10 Word problems 1
- T2 C10 Word problems 1
- T2 C11 Word problems 2
- T2 C11 Word problems 2
- T2 C12 - Algebraic Functions 1
- T2 C12 - Algebraic Functions 1
- T2 C13 - Algebraic Functions 2
- T2 C13 - Algebraic Functions 2
- T2 C14 - Changing the subject of a formula
- T2 C14 - Changing the subject of a formula
- T2 C15 - Variation
- T2 C15 - Variation
- T2 C16 - Indices
- T2 C16 - Indices
- T2 C17 - Exponential equations
- T2 C17 - Exponential equations
Topic 3 / lines and inequalities
- T3 C1 - Inequality
- T3 C1 - Inequality
- T3 C2 - Gradient
- T3 C2 - Gradient
- T3 C3 - Equation of a Line
- T3 C3 - Equation of a Line
- T3 C4 Line segment
- T3 C4 Line segment
- T3 C5 - Graphs of linear functions
- T3 C5 - Graphs of linear functions
- T3 C6 - Graphical display of Inequalities
- T3 C6 - Graphical display of Inequalities
Topic 4 / Sequences
- T4 C1 Sequences Introduction
- T4 C1 Sequences Introduction
- T4 C2 Arithmetic sequences
- T4 C2 Arithmetic sequences
- T4 C3 Geometric sequences
- T4 C3 Geometric sequences
- T4 C4 Quadratic Sequences
- T4 C4 Quadratic Sequences
- T4 C5 Cubic Sequences
- T4 C5 Cubic Sequences
- T4 C6 Assorted Sequences
- T4 C6 Assorted Sequences
Topic 5 / Geometry
- T5 C1 - Basic Geometry
- T5 C1 - Basic Geometry
- T5 C2 - Polygons
- T5 C2 - Polygons
- T5 C3 - Symmetry
- T5 C3 - Symmetry
- T5 C4 - Similarity , Similar triangles, Similar 2D figures
- T5 C4 - Similarity , Similar triangles, Similar 2D figures
- T5 C5 - More Similarity
- T5 C5 - More Similarity
- T5 C6 Circle theorems (1)
- T5 C6 Circle theorems (1)
- T5 C7 Circle theorems (2)
- T5 C7 Circle theorems (2)
- T5 C8 Congruence
- T5 C8 Congruence
- T5 C9 - Constructions
- T5 C9 - Constructions
- T5 C10 - Nets
- T5 C10 - Nets
Topic 6 / Trigonometry
- T6 C1 - Right angle triangle
- T6 C1 - Right angle triangle
- T6 C2 - Sine and cosine rule
- T6 C2 - Sine and cosine rule
- T6 C3 - Area of a Triangle and Bearing
- T6 C3 - Area of a Triangle and Bearing
- T6 C4 - Angle of elevation and angle of depression
- T6 C4 - Angle of elevation and angle of depression
- T6 C5 - Trig. In 3.D
- T6 C5 - Trig. In 3.D
- T6 C6 - Trigonometric graphs
- T6 C6 - Trigonometric graphs
- T6 C7 - Trigonometric equations
- T6 C7 - Trigonometric equations
- T6 C8 - Exact trigonometric values
- T6 C8 - Exact trigonometric values
Topic 7 / Mensuration
- T7 C1 - 2D shapes: part 1
- T7 C1 - 2D shapes: part 1
- T7 C2 - 2D shapes: part 2
- T7 C2 - 2D shapes: part 2
- T7 C3 - 2D shapes: part 3
- T7 C3 - 2D shapes: part 3
- T7 C4 - 2D shapes: part 4
- T7 C4 - 2D shapes: part 4
- T7 C5 - 3D (prisms)
- T7 C5 - 3D (prisms)
- T7 C6 - 3D(non prisms)
- T7 C6 - 3D(non prisms)
- T7 C7 - Similarity in mensuration
- T7 C7 - Similarity in mensuration
- T7 C8 - The net of a solid and surface area (net of a cone)
- T7 C8 - The net of a solid and surface area (net of a cone)
- T7 C9 - Flow rate
- T7 C9 - Flow rate
Topic 8 / Sets
- T8 C1 - Set notations
- T8 C1 - Set notations
- T8 C2 - Shading
- T8 C2 - Shading
- T8 C3 - Logical Problems
- T8 C3 - Logical Problems
Topic 9 / Functions
- T9 C1 - Functions and composite functions
- T9 C1 - Functions and composite functions
- T9 C2 - Inverse functions
- T9 C2 - Inverse functions
- T9 C3 - Domain and range
- T9 C3 - Domain and range
Topic 10 / Vectors
- T10 C1 - Introduction of Vectors
- T10 C1 - Introduction of Vectors
- T10 C2 - Vector Geometry
- T10 C2 - Vector Geometry
- T10 C3 - Parallel Vectors And Similarity In Vectors
- T10 C3 - Parallel Vectors And Similarity In Vectors
Topic 11 / Transformations
- T11 C1 -Introduction-Translation
- T11 C1 -Introduction-Translation
- T11 C2 - Reflection
- T11 C2 - Reflection
- T11 C3 - Rotation
- T11 C3 - Rotation
- T11 C4 - Enlargement
- T11 C4 - Enlargement
- T11 C5 - More Transformations
- T11 C5 - More Transformations
Topic 12 / Graphs of Functions
- T12 C1 - Drawing Graphs
- T12 C1 - Drawing Graphs
- T12 C2 - Gradient of a Curve
- T12 C2 - Gradient of a Curve
- T12 C3 - Solving Equations Using Graphs
- T12 C3 - Solving Equations Using Graphs
- T12 C4 - Sketches of Functions
- T12 C4 - Sketches of Functions
- T12 C5 - More Sketches
- T12 C5 - More Sketches
- T12 C6 - Distance, Time Graph and Speed Time Graph
- T12 C6 - Distance, Time Graph and Speed Time Graph
Topic 13 / Differentiation
- T13 C1 - Finding the Derivative of a Function
- T13 C1 - Finding the Derivative of a Function
- T13 C2 - Equation and Gradient of a Tangent
- T13 C2 - Equation and Gradient of a Tangent
- T13 C3 - Stationary Points and the Second Derivative
- T13 C3 - Stationary Points and the Second Derivative
- T13 C4 - Gradient of Tangent is Given
- T13 C4 - Gradient of Tangent is Given
Topic 14 / Statistics
- T14 C1 - Data Representation
- T14 C1 - Data Representation
- T14 C2 - More on Measures
- T14 C2 - More on Measures
- T14 C3 - Grouped Frequency Tables
- T14 C3 - Grouped Frequency Tables
- T14 C4 - Histograms
- T14 C4 - Histograms
- T14 C5 - Cumulative Frequency
- T14 C5 - Cumulative Frequency
- T14 C6 - Stem And Leaf
- T14 C6 - Stem And Leaf
- T14 C7 - Correlation
- T14 C7 - Correlation
Topic 15 / Probability
- T15 C1 - Introduction and traditional rule
- T15 C1 - Introduction and traditional rule
- T15 C2 - Two Dice or Two Spinners
- T15 C2 - Two Dice or Two Spinners
- T15 C3 - Probability Formulas
- T15 C3 - Probability Formulas
- T15 C4 - Tree Diagram
- T15 C4 - Tree Diagram
- T15 C5 - Different Probability Questions
- T15 C5 - Different Probability Questions

About Course

Cambridge IGCSE Mathematics supports learners in building competency, confidence and fluency in their use of techniques and mathematical understanding. This course helps learners to develop a feel for quantity, patterns and relationships. Learners will develop their reasoning, problem-solving and analytical skills in a variety of abstract and real-life contexts.
Cambridge IGCSE Mathematics provides a strong foundation of mathematical knowledge both for candidates studying mathematics at a higher level and those who will require mathematics to support skills in other subjects. The course is tiered to allow all candidates to achieve and progress in their mathematical studies.

What you'll learn?

By the end of Cambridge IGCSE Mathematics 0580, students will have developed a comprehensive understanding of key mathematical concepts and techniques. They will be able to apply their knowledge to a wide range of problems and scenarios, demonstrating proficiency in both theoretical and practical aspects of mathematics. This course prepares students for further study in mathematics and related fields, and equips them with skills valuable in academic, professional, and everyday contexts.

Material Includes

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