The following topics are taught as the first unit of Higher Maths from June to October. The links in red are professional notes for each topic and the blue links are video tutorials for each skill.
Straight Line (Full topic notes )
Gradient revision
Distance formula
Midpoint formula
m=tan(Θ)
Collinearity
Perpendicular gradients
Equations of lines
Perpendicular bisectors
Altitudes
Medians
Points of intersection
Straight line overview
Functions & Graphs (Full topic notes)
Domain & range
Composite functions
Inverse functions
Exponential & logarithmic graphs
Graph transformations
Differentiation (Full topic notes)
Introduction
Fractions & roots
Harder differentiation
Applications of differentiation
Notation
Equation of tangents
Increasing & decreasing functions
Stationary points
Curve sketching
Graphs of derivatives
Differentiating sin & cos
Chain rule (brackets)
Recurrence Relations (Full topic notes)
Limits
Making up Recurrence Relations
Essential Skills
Straight Line Essential Skills
Functions & Graphs Essential Skills
Differentiation Essential Skills
Recurrence Relations Essential Skills
Past Paper Questions with Answers
Straight Line Past Paper Questions
Graphs Past Paper Questions
Functions Past Paper Questions
Differentiation Past Paper Questions
Recurrence Relations Past Paper Questions (no answers)