A Level FSMQ Additional Maths OCR

Full course content, a smart revision plan and instant past paper feedback for A Level FSMQ Additional Maths OCR.

Content Overview

29 topics in 7 modules

☑️ Algebra 4 topics
- Algebra: Algebraic Manipulation
- Algebra: Applications of Equations
- Algebra: Inequalities
- Algebra: Recurrence Relationships
☑️ Enumeration 6 topics
- Enumeration: Binomial Expansion
- Enumeration: Representation
- Enumeration: Product Rule
- Enumeration: Permutation
- Enumeration: Combinations
- Enumeration: Applications
☑️ Coordinate Geometry 4 topics
- Coordinate Geometry: The Straight Line
- Coordinate Geometry: The Coordinate Geometry of Circles
- Coordinate Geometry: Graphs
- Coordinate Geometry: Applications in Linear Programming
☑️ Pythagoras and Trigonometry 4 topics
- Pythagoras and Trigonometry: Ratios of Any Angles
- Pythagoras and Trigonometry: Trigonometric Identities
- Pythagoras and Trigonometry: Trigonometric Equations
- Pythagoras and Trigonometry: Applications in Modelling
☑️ Calculus 3 topics
- Calculus: Differentiation
- Calculus: Integration
- Calculus: Application to Kinematics
☑️ Numerical Methods 4 topics
- Numerical Methods: Solving Equations
- Numerical Methods: Gradients of Tangents
- Numerical Methods: Area Under a Curve
- Numerical Methods: Applications of Numerical Methods
☑️ Exponentials and Logarithms 4 topics
- Properties of the Exponential Function
- Properties of the Logarithmic Function
- Reduction to Linear Form
- Equations Involving Exponentials

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A Level FSMQ Additional Maths OCR - Algebra - Algebra: Algebraic Manipulation Content Preview

Revision ContentExam Question

Understand the properties of real numbers, including: commutative, associative, distributive, and identity.
Familiarise yourself with the operations of addition, subtraction, multiplication, division and exponentiation of algebraic expressions.
Learn and apply the order of operations (BIDMAS: Brackets, Indices, Division and Multiplication, Addition and Subtraction).
Be confident in factorising quadratics, cubics and higher order polynomials using common factorisation, the difference of two squares and The Factor Theorem.

Develop skills in solving linear, quadratic, cubic and higher order equations, as well as simultaneous equations using analytical and graphical methods.
Understand and apply the concepts of absolute value equations and inequalities, and know how to solve them.
Familiarise yourself with the concepts of rational equations and inequalities.

Know how to simplify complex algebraic fractions, including those with polynomials in the numerator or denominator.
Be able to add, subtract, divide and multiply algebraic fractions, and to simplify to lowest terms.
Learn how to solve equations involving algebraic fractions.

Recall the laws of indices and apply them to manipulate expressions involving powers and roots.
Be vigilant on checking the conditions under which the rules of algebra holds.
Understand how to simplify and rationalise surds.
Be able to express complex numbers in a+bi form.

Gain confidence in working with complex numbers particularly, the arithmetic of complex numbers, the modulus-argument form and the use of De Moivre's Theorem.
Have a good understanding of the binomial theorem for rational indices, and their use in series expansion and approximations.
Learn to solve equations with variable powers using the logarithm properties.
Use algebraic manipulation to simplify, rearrange and solve real-world problems.

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