**N5 Applications**

**Percentages**

Percentages 1 – Repeated Percentage Changes

Percentages 2 – Reversing a Percentage Change

**N5 ****Expressions & Formulae Unit**

**Volume**

Volume 2 – Volume of a Cylinder

Volume 3 – Volume of a Pyramid/Cone

Volume 6 – Surface Area of a Cylinder

**Algebraic Fractions**

Algebraic Fractions 1 – Revision of Numerical Fractions

Algebraic Fractions 2 – Equivalence & Simplifying

Algebraic Fractions 3 – Simplifying by Factorising

Algebraic Fractions 4 – Adding & Subtracting

Algebraic Fractions 5 – Multiplying & Dividing

Algebraic Fractions 6 – Exam Type Questions

**Arcs & Sectors**

Arcs & Sectors 1 – Area of a Sector

Arcs & Sectors 2 – Length of an Arc

Arcs & Sectors 3 – Finding the Angle

**Surds & Indices**

Surds 2 – Adding & Subtracting Surds

**Expressions & Formulae Revision**

Expressions & Formulae Revision 1 – Expanding Brackets & Factorising

Expressions & Formulae Revision 2 – Significant Figures & Scientific Notation

Expressions & Formulae Revision 3 – Volume & Algebraic Fractions

Expressions & Formulae Revision 4 – Arcs & Sectors & Surds & Indices

Expressions & Formulae Revision 5 – Gradient & Completing the Square

**N5 Relationships Unit**

**Equations & Inequations**

Equations & Inequations 1 - Nat 4 Revision

Equations & Inequations 2 - Equations with Fractions

Equations & Inequations 3 - Inequations

**Straight Line**

Straight Line 1 - Intro/ Vertical & Horizontal Lines

Straight Line 2 – Calculating a Gradient

Straight Line 3 – Equation of a Line

**Simultaneous Equations**

Simultaneous Equations 1 - Solving Graphically

Simultaneous Equations 2 - Solving by Substitution

Simultaneous Equations 3 - Solving by Elimination

Simultaneous Equations 4 – Constructing Equations from Real Life Problems

**Geometry in Circles**

Geometry in Circles 1 – Tangents to Circles

Geometry in Circles 2 – Isosceles Triangles in Circles

Geometry in Circles 3 – Angles in Polygons

**Similarity**

Similarity 1 – Linear Scale Factors

Similarity 2 – Area & Volume Scale Factors

**Changing the Subject of a Formula**

Changing the Subject of a Formula 1

Changing the Subject of a Formula 2 – Powers & Roots

**Functions**

**Further Trigonometry**

Further Trigonometry – Graphs 1

Further Trigonometry – Graphs 2

Further Trigonometry – Graphs 3

Further Trigonometry – Graphs 4

Further Trigonometry – Equations 1

**Prelim and Exam Revision**

**Higher - Block 1**

**Straight Line**

Straight Line 1 - Gradient Revision

Straight Line 2 - Distance Between Points

Straight Line 4 - Gradient from Angle

Straight Line 5 - Collinearity

Straight Line 6 - Perpendicular Gradients

Straight Line 7 - Equation of a Line

Straight Line 8 - Perpendicular Bisectors

Straight Line 11 - Points of Intersection

**Vectors**

Vectors 7 - Scalar Product from Components

Vectors 8 - Angle Between Vectors

Vectors 9 - Perpendicular Vectors

Vectors 10 - Properties of Scalar Products

**Trigonometry**

Trigonometry 3 - Trig Equations 1

Trigonometry 4 - Addition Formulae

Trigonometry 5 - Double Angle Formulae

Trigonometry 6 - Trig Equations 2

Trigonometry 7 - Trigonometric Identities

**Higher - Block 2**

**Polynomials**

Polynomials 2 - Dividing Polynomials

Polynomials 3 - Factorising Polynomials

Polynomials 4 - Finding Unknown Coefficients

Polynomials 5 - Solving Equations

Polynomials 6 - Finding Functions From Graphs

**Quadratics**

Quadratics 1 - Completing the Square

Quadratics 3 - The Discriminant

Quadratics 4 - Using the Discriminant

Quadratics 5 - Intersecting Parabolas and Lines

**Functions**

Functions and Graphs 1 - Domains and Ranges

Functions and Graphs 2 - Composite Functions

Functions and Graphs 3 - Inverse Functions

Functions and Graphs 4 - Exponentials and Logarithms

Functions and Graphs 5 - Transformation of Graphs

**Differentiation**

Differentiation 1 – Introduction

Differentiation 2 - Fractions and Roots

Differentiation 3 - More Complex Differentiation

Differentiation 4 - Applications of Derivatives

Differentiation 5 - Liebniz Notation

Differentiation 6 - Equation of Tangents

Differentiation 7 - Increasing and Decreasing Functions

Differentiation 8 - Stationary Points

Differentiation 9 - Curve Sketching

Differentiation 10 - Closed Intervals

Differentiation 11 - Derived Graphs

Differentiation 12 - sinx and cosx

Differentiation 13 - Optimisation

**Higher - Block 3**

**Circles**

Circles 1 - Equations of Circles

Circles 3 - Equations of Tangents

Circles 4 - Lines Intersecting Circles

Circles 5 - Intersecting Circles

**Integration**

Integration 2 - Further Examples

Integration 3 - Differential Equations

Integration 4 - Definite Integrals

Integration 5 - Area Under a Curve

Integration 6 - Area Between Curves

**Wave Function**

Wave Function 1 - Introduction

Wave Function 3 - Multiple Angles

Wave Function 4 - Maximum and Minimum Values

Wave Function 5 - Sketching Graphs

Wave Function 6 - Solving Equations

**Higher - Block 4**

**Further Calculus**

Further Calculus 1 - sin and cos

Further Calculus 2 - Chain Rule

Further Calculus 3 - Integrating by Inversing Chain Rule

**Recurrence Relations**

Recurrence Relations 1 - Introduction

Recurrence Relations 2 - Limit of a Sequence

Recurrence Relations 3 - Finding RR from a Sequence

**Logarithms and Exponentials**

Logs and Exponentials 1 - Introduction

Logs and Exponentials 2 - Laws of Logarithms

Logs and Exponentials 3 - The Exponential Function

Logs and Exponentials 4 - Linearising Data

Logs and Exponentials 5 - Graph Transformations