National 5

Click on the links below to view Nat 5 video tutorials

Factorisation

• Removing Highest Common Factor
• Difference of 2 Squares
• Trinomials (Wendy’s Way)
• Easy Trinomials

Arcs & Sectors

• Arc Length
• Sector Area
• Finding the Angle

Pythagoras Theorem

• Pythagoras – Introduction
• Pythagoras – Repeated use
• Pythagoras  – Finding the distance between two points
• Pythagoras in disguise
• Converse of Pythagoras 

Inequalities

• Solving Inequalities

Simultaneous Equations

• Solving Simultaneous Equations Graphically 
• Solving Simultaneous Equations by Elimination
• Solving Simultaneous Equations by Substitution

Percentages

• Appreciation & Depreciation
• Compound Interest
• Percentage Profit & Percentage Loss
• Reverse Percentage

Indices

• Negative indices
• Multiplying with the same base 
• Dividing with the same base 
• Powers of Powers
• Fractional Indices 

Trigonometry

• SOHCAHTOA – Finding a Side
• SOHCAHTOA – Finding an Angle
• The Sine Rule – Finding a Missing Angle
• The Sine Rule – Finding a Missing Side
• The Cosine Rule – Finding a Missing Angle
• The Cosine Rule – Finding a Missing Side
• Area of a Triangle
• Using Bearings with Trigonometry

Equation of a Line

• Discovering y = mx+c
• Horizontal & Vertical Lines
• Using y – b = m(x – a) 

Spread of Data

• Standard Deviation
• Five Figure Summaries & Spread of Data

Circle Problems

• Angles in Circles
• Chords, Bisectors & Pythagoras Theorem

Fractions

• Converting Mixed Numbers & Top Heavy Fractions

Algebraic Fractions

• Simplifying Algebraic Fractions
• Adding & Subtracting Algebraic Fractions

Functions

• An Introduction to Functions

Quadratics

• Solving Quadratic Equations 
• Constructing Quadratic Equations
• Sketching Quadratic Functions
• Completing the Square
• Using Completing the Square to Sketch Quadratic Functions
• The Quadratic Formula
• Determining the Nature of Roots (Using the Discriminant)

Changing the Subject

• Changing the Subject of the Formula

Vectors

• An Introduction to Vectors
• Alternative Routes
• Magnitude of 2D & 3D Vectors
• Scalar Multiplication

Surds

• Simplifying Surds
• Adding & Subtracting Surds
• Rationalising the Denominator

Similarity

• Similar Triangles
• Area of Similar Shapes
• Volume of Similar Shapes

Trigonometric Graphs

• Graphing Trig Functions (Amplitude)
• Graphing Trig Functions (Period)
• Graphing Trig Functions (Vertical Shift)
• Graphing Trig Functions (Horizontal Shift)

Trigonometric Equations etc

• Exact Values
• Solving Trig Equations
• Trig Identities