# Core 1

### Algebra and Functions

Simplifying Expressions     Video

Indices: Laws     Video

Indices: Fractional     Video

Indices: Negative     Video

Indices: Harder     Video

Factorisation: Basic     Video

Factorisation: Difference between two squares     Video

Surds: Simplifying and Rules     Video

Surds: Expanding brackets     Video

Surds: Rationalising the Denominator     Video

Quadratics: Solving using completing the square     Video

Quadratics: Solving using the formula     Video

### Equations and Inequalities

Simultaneous equations: Elimination     Video

Simultaneous equations: Substitution     Video

Simultaneous equations: Linear and Quadratic     Video

Inequalities: Linear     Video

### Sketching Curves

Sketching Cubics     Video

Reciprocal Graphs     Video

Intersecting Graphs     Video

Transformations: f(x)+a     Video

Transformations: af(x)     Video

Transformations: -f(x)     Video

Transformations: f(x+a)     Video

Transformations: f(ax)     Video

Transformations: f(-x)     Video

Transformations: mixture     Video

### Coordinate Geometry

Equation of a line     Video

Parallel Lines     Video

Equation of a line through a point     Video

Perpendicular Lines     Video

Distance between two points     Video

Midpoint of a line     Video

### Sequences and Series

Recurrence Relationship     Video

Arithmetic Series     Video

Sum of an Arithmetic Series     Video

Proof of Sum of an Arithmetic Series     Video

Sigma Notation     Video

Further Questions     Video

### Differentiation

Differentiation Introduction     Video

Differentiation     Video

Differentiation: simplifying first     Video

Finding the equation of a tangent     Video

Finding the equation of a normal     Video

Second Derivative     Video

Rate of change     Video

### Integration

Integrating     Video

Integration: simplifying first     Video

Finding c if given a point on the curve     Video