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Chapter A1: Algebraic expressions
The first chapter organises algebraic manipulation: real numbers, monomials, polynomials, operations, identities, and factorisation.
Mathematics
Greek Gymnasium Grade 3: a structured route for Mathematics and Physics with chapters, practice, and next steps.
What this chapter covers
The structure follows the official textbook layout and is used to organise study.
Real numbers
Monomials and polynomials
Polynomial operations
Identities
Factorisation
Where to focus
The areas that usually create mistakes or need extra revision.
Stable signs and powers
Square identities and difference of squares
Factorisation with common factor and identities
Sources, daily material, and resources
Where to start: textbook, daily material, PDFs, videos, and worked examples.
Official Grade 3 Gymnasium textbook - Chapter A1
Identity and factorisation sheets
Worked examples with full steps
Practice by subtopic
Targeted practice before full tests so coverage is clear.
10-15 minute identity drill
Factorisation exercises by technique
Mixed expansion and factorisation set
Mocks and progress checks
How to measure progress in this chapter and when it enters a cumulative mock.
Chapter test with techniques and applications
Timed set before a school test
Error log by factorisation technique
Next step
What to do after finishing the chapter and how it connects to the next unit.
Use factorisation in equations
Keep identity recaps before each test
Connect errors with a specific algebra skill
Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.