**2D2**

Level 4 Course

Circle Parts/ Circle Circumference/ Circle Area

Solving Equations – Unknowns both sides, Brackets, Fractions

Measurement and Tolerance

Area and Surface Area

Revision of Algebra

Patterns and Sequences

**2D2**

Level 4 Course

Circle Parts/ Circle Circumference/ Circle Area

Solving Equations – Unknowns both sides, Brackets, Fractions

Measurement and Tolerance

Area and Surface Area

Revision of Algebra

Patterns and Sequences

**3C2**

Level 4 Course

Scale Factor – Linear, Area, Volume

Data Analysis and Probability (incl Scattergraphs and Pie Charts)

Trigonometry – Finding and unknown side, Finding and unknown angle

Money – Wages and Salaries, Hire Purchase, Foreign Exchange

Ratio and Proportion

End of Level 4 Assessment

**National 5 Mathematics**

Below are links to some revision material for the National 5 course:

Algebra – Brackets, Factorising, Completing the Square

Circles – Arcs, Sectors, angles

Indices – Indices 1, Indices 2, Indices 3 – Fractional Powers, Indices 4

Algebraic Fractions – add/subtract, multiply/divide

Straight Lines – y=mx+c, Plotting Graphs 2, Gradient and intercept, Equation of a line 2, Equation of a line 3

Solving Simultaneous Equations

Quadratics –Sketching Quadratics 1, Sketching Quadratics 2, Solving Quadratics 1, Solving Quadratics 2, The Quadratic Formula

Pythagoras – Mixed, Converse of Pythagoras, 3D Pythgoras

Properties of Shape – Angles in Polygons, Isosceles Triangles in Circles, Tangents to Circles

Similarity – Linear Scale Factor, Area and Volume Scale Factor

Trigonometric Graphs 1,Trigonometric Graphs 2, Trigonometric Graphs 3, Trigonometric Graphs 4

Solving Trigonometric Equations 1, Solving Trigonometric Equations 2, Solving Trigonometric Equations 3

**Higher Mathematics**

(Flipped Classroom – Larbert High School)

**The Straight Line**

Gradient Revision Distance between points Midpoints Gradient From Angle Collinearity

Perpendicular Gradients Equation of a Line Perpendicular Bisectors Altitudes Medians Points of Intersection

**Sets and Functions**

Domains and Ranges Composite Functions Inverse Functions Exponentials and Logarithms

**Recurrence Relations**

Introduction Limit of a Sequence Finding the RR from a Sequence

**Graphs of Functions**

**Trig Graphs and Equations**

Radians Exact Values Trig Equations

**Differentiation**

Introduction Fractions and Roots More Complex Differentiation Applications of Derivatives Liebniz Notation

Equation of Tangents Increasing and Decreasing Functions Stationary Points Curve Sketching

Closed Intervals Derived Graphs sinx and cosx Optimisation

**Polynomials**

Introduction Dividing Polynomials Factorising Polynomials Finding Unknown Coefficients

Solving Equations Finding Functions From Graphs

**Integration**

Introduction__ Further Examples Differential Equations Definite Integrals Area Under a Curve__

**Quadratic Functions**

Completing the Square Inequations The Discriminant Using the Discriminant Intersecting Parabolas and Lines

**The Circle**

Equations of Circles, General Equation of a Circle, Tangents to Circles, Lines and Circles, Intersecting Circles

**Addition Formulae**

Solving Trig Equations, Addition Formulae, Double Angle Formulae

Vectors

Further Calculus

Exponential and Logarithms

The Wave Function