Functions and proof
Why this, why now
In this unit pupils will further develop their understanding of algebraic notation and graphs by learning about functions, their inverses and composite functions.
Prior knowledge requirements
- Ardaydu waa inay yaqaanaan aasaaska maadada.
- Ardaydu waa inay awoodaan inay raacaan tilmaamo fudud.
Unit 8 / 15
Functions and proof
In this unit pupils will further develop their understanding of algebraic notation and graphs by learning about functions, their inverses and composite functions.
14 lessons- Problem solving with functions and proof
- Finding the inverse of a function
- Writing a generalised statement about specific number properties
- Proving or disproving a statement
- Writing a proof
- Multiple approaches to logical arguments
- General algebraic forms for specific number properties
- Logical arguments
- Writing composite functions
- Solving equations involving functions
- Defining function notation
- Solving equations involving composite functions
- Checking and securing understanding of functions
- Making conjectures about patterns and relationships