Topic module: C1 OCR

Mixed Exercise – Pythagoras and Trigonometry

Exam Questions – Applications of stationary points

Exam Questions – Simultaneous inequalities

Identity or equation – what is the difference?

Mixed Exercise – Factorising

Summary of indices

Exam Questions – Straight lines

Exam Questions – Solving a double inequality

Exam Questions – Increasing and decreasing functions

Exam Questions – Stationary points

Exam Questions – Circles

Exam Questions – Tangents and normals

Exam Questions – Differentiation: introduction

Exam Questions – Graph transformations

Exam Questions – Quadratic inequalities

Exam Questions – Simultaneous equations

Exam Questions – Roots and discriminant

Exam Questions – Solved by the quadratic formula

Exam Questions – Completing the square

Exam Questions – Factorising

Exam Questions – Surds

Exam Questions – Indices

Nature of a stationary point

Equation of a line given the gradient and point

Asymptotes – horizontal and vertical types

Sketching reciprocal curves of the form y = k/x

Sketching cubic curves

Increasing and decreasing functions

Applications of stationary points

Stationary points

Circle properties

Equation of a circle through 3 points

Equation of a tangent to a circle

Finding the centre and radius

Equation of a circle

Equations of tangents and normals

The second derivative

Differentiation – terms of the form axⁿ

The gradient function dy/dx

Intersection of a straight line and a hyperbola

Nature of the intersection

Intersection of a straight line and a parabola

Intersection of two straight lines

Equation of a perpendicular bisector

Equation of a parallel line

Mid-point of a line segment

Equation of a straight line: y=mx+c

Perpendicular lines

Parallel lines

Line segment

Quadratic inequalities

Solving a double inequality

Solving a linear type

Rules for reversing the inequality sign

Linear inequalities

Substitution method for linear and non-linear equations

Elimination method for linear equations

Fractional linear equations

Finding an angle

Finding the length of a side

Introduction to trigonometry

Pythagoras’ theorem

Linear equations with brackets

Linear equations with two x-terms

Linear equations with a negative x-term

Linear Equations with a positive x term

Terms in expressions and equations

Squaring a bracket

Expanding two or more brackets

Expanding a single bracket

Stretches of graphs

Reflections of graphs

Translations of graphs

Basic graphs used in transformations

Polynomials

Sketching quadratic graphs

Roots and discriminant of a quadratic equation

Solving quadratic equations in some function of x

Solve by the quadratic formula

Solve by completing the square

Solve by factorising

Applications of completing the square

Completing the square

Factorising quadratic expressions

Factorising by grouping

Highest common factor (HCF)

Introduction to factorising

f(x) notation

Addition and subtraction of surds

Rationalising surds

Dividing surds

Surds – introduction & simplifying

Multiplying surds

Equations in which the power has to be found

Simplifying terms with negative powers

Rational (fractional) indices

Fractions raised to a negative index

Negative indices

Division rule for indices

Multiplication rules for indices

Expressing terms in the form axⁿ

Introduction to indices (exponents)