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
Miss Kupisz’s Classes
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
