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Edexcel International GCSE Mathematics (4MA1)

10 weeks

All levels

196 lessons

0 quizzes

1 student

Curriculum
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1. Fractions, Decimals and Rounding
- 1.1 Equivalent fractions
- 1.2 Multiplying and dividing with fractions
- 1.3 Decimals and fractions
- 1.4 Rounding and approximation
- 1.5 Rounding calculator answers
- 1.6 Upper and lower bounds
- Key points
- Answer
2. Ratios and Percentages
- 2.1 Working with ratios
- 2.2 Simple percentages
- 2.3 Percentage increase and decrease
- 2.4 Reverse percentage problems
- 2.5 Compound interest
- Key points
- Answer
3. Powers and Roots
- 3.1 Basic powers and roots
- 3.2 Higher powers and roots
- 3.3 Fractional (rational) indices
- 3.4 Negative powers
- 3.5 The laws of indices
- 3.6 Standard index form
- 3.7 Calculating with numbers in standard form
- 3.8 Factors, multiples and primes
- 3.9 HCF & LCM
- Key points
- Answer
4. Working with Algebra
- 4.1 Substituting numbers into formulae and expressions
- 4.2 Working with indices
- 4.3 Expanding brackets
- 4.4 Multiplying brackets together
- 4.5 Factorising – common factors
- 4.6 Factorising – quadratic expressions
- 4.7 Factorising – harder quadratic expressions
- 4.8 Factorising – difference of two squares
- 4.9 Generating formulae
- 4.10 Changing the subject of a formula
- Key points
- Answer
5. Algebraic Equations
- 5.1 Expressions, equations and identities
- 5.2 Simple equations
- 5.3 Harder linear equations
- 5.4 Equations and brackets
- 5.5 Equations with fractional coefficients
- Key points
- Answer
6. Graphs of Straight Lines
- 6.1 Coordinates in all four quadrants
- 6.2 Graphs of linear functions
- 6.3 Gradient and intercept of linear functions
- 6.4 Equations and graphs
- 6.5 Parallel and perpendicular lines
- Key points
- Answer
7. Simultaneous Equations
- 7.1 Solving simultaneous equations by inspection
- 7.2 Solving simultaneous equations by algebraic elimination
- 7.3 Solving simultaneous equations by a graphical method
- 7.4 Setting up and solving problems using simultaneous equations
- Key points
- Answer
8. Inequalities
- 8.1 Whole-number solutions to inequalities
- 8.2 Using algebra to solve linear inequalities
- 8.3 Illustrating inequalities on a number line
- 8.4 Graphs of linear inequalities in two variables
- 8.5 Quadratic inequalities
- Key points
- Answer
9. Sequences and Series
- 9.1 Number sequences
- 9.2 Describing number sequences with rules
- 9.3 Arithmetic sequences
- 9.4 Arithmetic series
- Key points
- Answer
10. Travel and Other Graphs
- 10.1 Distance–time graphs
- 10.2 Modelling with graphs
- Key points
- Answer
11. Working with Shape and Space
- 11.1 Corresponding and alternate angles
- 11.2 Angles in triangles and quadrilaterals
- 11.3 Angles in polygons
- 11.4 Areas and perimeters of simple shapes
- 11.5 Surface area and volume
- 11.6 Converting between units
- Key points
- Answer
12. Circles, Cylinders, Cones and Spheres
- 12.1 Circumference and area of a circle
- 12.2 Sectors of a circle
- 12.3 Circumference and area in reverse
- 12.4 Surface area and volume of a cylinder
- 12.5 Volume and surface area of cones and spheres
- Key points
- Answer
13. Geometric Constructions
- 13.1 Constructing triangles from given information
- 13.2 Constructions with line segments
- 13.3 Bearings
- Key points
- Answer
14. Transformation and Similarity
- 14.1 Reflections
- 14.2 Rotations
- 14.3 Combining transformations
- 14.4 Enlargements
- 14.5 Similar shapes and solids
- Key points
- Answer
15. Pythagoras’ Theorem
- 15.1 Introducing Pythagoras’ theorem
- 15.2 Use of Pythagoras’ theorem
- 15.3 Pythagoras’ theorem in three dimensions
- 15.4 Pythagoras’ theorem on a coordinate grid
- Key points
- Answer
16. Introducing Trigonometry
- 16.1 The sine ratio
- 16.2 The cosine ratio
- 16.3 The tangent ratio
- 16.4 Choosing the right trigonometrical function
- 16.5 Finding an unknown angle
- 16.6 Multi-stage problems
- 16.7 Angles of elevation and depression
- Key points
- Answer
17. Circle Theorems
- 17.1 Tangents, chords and circles
- 17.2 Angle properties inside a circle
- 17.3 Further circle theorems
- 17.4 Intersecting chords
- Key points
- Answer
18. Sets
- 18.1 Introducing set notation
- 18.2 Venn diagrams
- 18.3 Further Venn diagrams
- Key points
- Answer
19. Working with Data
- 19.1 Calculations with frequency tables
- 19.2 Solving problems involving the mean
- 19.3 Histograms
- 19.4 Cumulative frequency
- 19.5 Median and quartiles for a discrete data set
- Key points
- Answer
20. Probability
- 20.1 Theoretical and experimental probability
- 20.2 Mutually exclusive outcomes
- 20.3 Independent events
- 20.4 Tree diagrams
- 20.5 Conditional probability
- Key points
- Answer
21. Direct and Inverse Proportion
- 21.1 Direct proportion
- 21.2 Inverse proportion
- 21.3 Graphical representation of direct and inverse proportion
- 21.4 Compound measures
- Key points
- Answer
22. Quadratic Equations, Curves and Inequalities
- 22.1 Solving quadratic equations – factorising
- 22.2 Completing the square
- 22.3 Solving quadratic equations – formula
- 22.4 Problems leading to quadratic equations
- 22.5 Quadratic curves
- 22.6 Solving quadratic inequalities
- Key points
- Answer
23. Advanced Algebra
- 23.1 Working with surds
- 23.2 Algebraic fractions
- 23.3 Cancelling common factors in rational expressions
- 23.4 Simultaneous equations, one linear and one quadratic
- 23.5 Changing the subject of an equation where the symbol occurs twice
- 23.6 Algebraic proofs
- Key points
- Answer
24. Functions and Function Notation
- 24.1 Introducing functions and function notation
- 24.2 Domain and range
- 24.3 Inverse functions
- 24.4 Composite functions
- Key points
- Answer
25. Further Trigonometry
- 25.1 The sine rule
- 25.2 The cosine rule
- 25.3 Area of a triangle using 1/2 ab sin C, and segments of circles
- 25.4 Trigonometry in 3-D
- Key points
- Answer
26. Graphs and Transformations
- 26.1 Plotting and using graphs of curves
- 26.2 Graphs of sine, cosine and tangent functions
- 26.3 Transformations of graphs – translations
- 26.4 Further transformations
- Key points
- Answer
27. Vectors
- 27.1 Introducing vectors
- 27.2 Adding and subtracting vectors
- 27.3 Multiplying a vector by a number (scalar multiplication)
- 27.4 Using vectors
- Key points
- Answer
28. Calculus
- 28.1 Gradient of a curve
- 28.2 Gradient of a curve – differentiation
- 28.3 Harder differentiation
- 28.4 Maximum and minimum points on curves
- 28.5 Further problems on maximum and minimum
- 28.6 Distance, velocity and acceleration
- Key points
- Answer