K5MA2 Functions graphs transformations and partial fractions personal learning checklist

Edexcel A-level Mathematics · Pure · either mandatory Pure paper

Name ____________________ Class __________ Date __________

Tick one box per statement. Red: need help. Amber: partly confident. Green: can do independently.

I canRedAmberGreen
Function definitions domains composites and inverses
define functions and determine domains ranges and composition order
derive and verify inverse functions with justified branch restrictions
Polynomial reciprocal and modulus graphs
sketch polynomial graphs using roots multiplicities intercepts and end behaviour
compare reciprocal families and locate shifted asymptotes accurately
solve modulus equations and inequalities using complete branches and graph reasoning
Graph transformations and composite changes
track translations scalings and reflections through explicit point maps
transform modulus outputs restricted domains and reciprocal features
Rational expressions and partial fractions
decompose distinct linear factors and justify coefficient-finding methods
construct and verify repeated-factor and three-term decompositions
Proportion and evaluating function models
calibrate and distinguish direct inverse and power proportional models
evaluate model fit domain limitations and contextual solutions

Next revision priority: __________________________________________________