Represent before calculating
Write the number in a useful form, check sign and place value, and only then choose the operation. A clear representation reduces mechanical errors.
Greek Gymnasium Grade 1 / Mathematics / Μέρος Α: Αριθμητική - Άλγεβρα
Φυσικοί αριθμοί: structured theory, worked examples, answered practice, and a mastery checklist for Greek Gymnasium Grade 1.
Unit
The essential chapter ideas in a clear sequence before practice.
Write the number in a useful form, check sign and place value, and only then choose the operation. A clear representation reduces mechanical errors.
Fractions, decimals, percentages, ratios, and powers can describe the same quantity. Changing form is a solving tool, not a separate trick.
Estimate before and after the exact calculation. The sign, order of magnitude, and unit must agree with the problem context.
Mathematics
Follow the method step by step and check why every step is valid.
Calculate and simplify 2/12 + 6/12.
Mathematics
Build foundations: accurate operations, fractions, percentages, ratios, basic shapes, and readable written solutions.
The structure follows the official textbook layout and is used to organise study.
2/3
Before calculating, explain the key idea from “Φυσικοί αριθμοί και διάταξη” and which conditions must be checked.
The answer should show not only which rule is used for “Φυσικοί αριθμοί και διάταξη”, but also why it is valid here.
Φυσικοί αριθμοί
Try independently, use the hint if needed, then open the answer guide.
1. Explain the idea and give one correct foundation example for “Φυσικοί αριθμοί και διάταξη”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Φυσικοί αριθμοί και διάταξη”, shows equivalent steps, and includes a final check.
2. Solve an application and show every intermediate step for “Πρόσθεση, αφαίρεση, πολλαπλασιασμός, διαίρεση”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Πρόσθεση, αφαίρεση, πολλαπλασιασμός, διαίρεση”, shows equivalent steps, and includes a final check.
3. Compare a correct and an incorrect approach and justify the difference for “Δυνάμεις φυσικών αριθμών”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Δυνάμεις φυσικών αριθμών”, shows equivalent steps, and includes a final check.
4. Create a short exam-style question and check your answer for “Ευκλείδεια διαίρεση”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Ευκλείδεια διαίρεση”, shows equivalent steps, and includes a final check.
The areas that usually create mistakes or need extra revision.
Where to start: textbook, daily material, PDFs, videos, and worked examples.
Targeted practice before full tests so coverage is clear.
How to measure progress in this chapter and when it enters a cumulative mock.
What to do after finishing the chapter and how it connects to the next unit.
Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.