iGCSE Mathematics A Edexcel
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100 topics in 7 modules
☑️ Angles 10 topics
- Understanding and defining different types of angles (acute, obtuse, right, straight, reflex)
- Calculating angles in a triangle (sum of angles)
- Calculating angles in a quadrilateral (sum of angles)
- Identifying and working with complementary and supplementary angles
- Applying angle facts related to parallel lines (alternate, corresponding, interior)
- Applying angle facts related to circles (tangent, chord, arc, sector)
- Using the properties of vertically opposite angles
- Applying angle facts related to polygons (regular and irregular)
- Working with and calculating angles in transformations (rotation, reflection, enlargement)
- Solving problems involving angles and algebra
☑️ Numbers 18 topics
- Orders and Operations
- Calculator Buttons
- Types of Number
- Square Roots and Cube Roots
- Set Language and Notation
- Prime Numbers
- Multiples, Factors and Prime Factors
- LCM and HCF
- Fractions, Decimals and Percentages
- Fractions and Recurring Decimals
- Compound Interest and Depreciation
- Ratios
- Proportion
- Rounding Numbers
- Bounds
- Standard Form
- Sets
- Venn Diagrams
☑️ Algebra 22 topics
- Degree of accuracy
- Standard Form
- Applying Number
- Powers and Roots
- Algebra Basics
- Making Formulas from Words
- Multiplying Out Brackets
- Factorising
- Manipulating Surds
- Solving Equations
- Rearranging Formulas
- Factorising Quadratics
- The Quadratic Formula
- Completing the Square
- Quadratic Equations
- Algebraic Fractions
- Inequalities
- Graphical Inequalities
- Simultaneous Equations
- Simultaneous Equations and Graphs
- Number Patterns and Sequences
- Proof
☑️ Graphs, Functions and Calculus 9 topics
- Coordinates
- Straight Line Graphs
- Finding the Gradient
- y= mx + c
- Parallel and Perpendicular Lines
- Quadratic graphs
- Functions
- Graph Transformations
- Differentiation
☑️ Geometry and Measures 20 topics
- Maps and Scale Drawings
- Geometry
- Parallel Lines
- Geometry Problems
- Polygons
- Symmetry
- Circle Geometry
- The Four Transformations
- Congruence and Similarity
- Areas
- Surface Area and Nets
- Volume
- Time
- Speed, Density and Pressure
- Distance-Time Graphs
- Speed-Time Graphs
- Unit Conversion
- Triangle Construction
- Constructions
- Bearings
☑️ Pythagoras and Trigonometry 7 topics
- Pythagoras' Theorem
- Trigonometry- Sin, Cos and Tan
- The Sine and Cosine Rules
- 3D Pythagoras
- 3D Trigonometry
- Sin, Cos and Tan for Larger Angles
- Vectors
☑️ Statistics and Probability 14 topics
- Cumulative Frequency
- Frequency Tables- Finding Averages
- Grouped Frequency Tables
- Histograms and Frequency Density
- Listing Outcomes and Expected Frequency
- Mean, Median, Mode and Range
- Pie Charts
- Probability
- Probability from Venn Diagrams
- Quartiles and Comparing Distributions
- Relative Frequency
- Simple Charts
- The AND/OR Rules
- Tree Diagrams
iGCSE Mathematics A Edexcel Revision Content
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iGCSE Mathematics A Edexcel - Numbers - Orders and Operations Content Preview
Numbers
Orders and Operations
- "Orders and Operations" refers to the sequence in which calculations in a mathematical expression should be carried out.
- BIDMAS/BODMAS is an acronym used to remember the order of operations: Brackets, Indices/Powers or Order, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Always perform operations in brackets first, no matter their positioning in the equation.
- After brackets, treat powers or indices next. Review exponents (squared, cubed etc.) and roots (square root, cube root etc.) calculations.
- Division and multiplication are on the same 'tier'. They should be solved from left to right in the equation or expression.
- The last operations you should handle are addition and subtraction (again, left-to-right).
- If single numbers appear next to brackets, this implies multiplication. For example, 2(3+4) equals 2*7=14.
- A common pitfall is to incorrectly conduct operations from right-to-left or forgetting to handle operations in brackets first. Ensure you can accurately apply BIDMAS/BODMAS to avoid these errors.
- Practice using the order of operations with fractions, decimals and negative numbers to enhance your understanding.
- Algebra also uses the rules of order of operations. Remember that letters (variables) can take the place of unknown numbers.
- Applying the rules of order consistently ensures that you always carry out calculations correctly, which is key to success in your Numbers revision.
Question: Using the BIDMAS/BODMAS rule, what is the calculated value of these expressions: 1. 4 + (3 * 2) - 5 and 2. 7 * (3 + 2) - 2^2?
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