Vector Geometry

Vector Geometry

Algebra

• Understand and evaluate expressions involving indices
• Create and simplify algebraic expressions
• Use algebraic techniques such as exploiting difference of squares, expanding brackets, factorising, etc.
• Rearrange and interpret formulae
• Understand and use quadratic functions and the quadratic formula
• Solve linear equations, linear simultaneous equations, and simple linear inequalities

Trigonometry

• Understand and use sine, cosine and tangent
• Solve trigonometric equations
• Apply the sine and cosine rules
• Use trigonometry to solve 2D and 3D problems

Differentiation

• Understand and apply the process of differentiation
• Calculate the gradient at a point on a graph
• Solve problems involving differentiation, including maximum/minimum problems
• Calculate and interpret rates of change

Integration

• Understand and apply the process of integration
• Calculate the area under a curve
• Solve problems using integration

Logarithms

• Understand and apply the laws of logarithms
• Solve logarithmic and exponential equations

Matrices

• Understand and use matrix notation
• Perform and interpret matrix calculations
• Use matrices to solve problems

Vectors

• Understand the concept of magnitude and direction
• Perform and interpret vector calculations
• Resolve vectors into components
• Use vectors to solve problems involving displacement, velocity, and acceleration