Data and population
Before calculating, identify what each value measures, the population, and whether the sample is representative.
Greek Gymnasium Grade 3 / Mathematics / Μέρος Α: Άλγεβρα
Πιθανότητες: structured theory, worked examples, answered practice, and a mastery checklist for Greek Gymnasium Grade 3.
Unit
The essential chapter ideas in a clear sequence before practice.
Before calculating, identify what each value measures, the population, and whether the sample is representative.
Mean, median, range, and probability answer different questions. Give the value together with a contextual interpretation.
A graph needs a valid scale and a probability must lie from 0 to 1. These checks immediately expose inconsistent answers.
Mathematics
Follow the method step by step and check why every step is valid.
For the data 3, 7, 10, 9, 6, find the mean and range.
Mathematics
A bridge year into Lyceum: students need confidence in algebraic manipulation and basic proof thinking.
The structure follows the official textbook layout and is used to organise study.
The areas that usually create mistakes or need extra revision.
Mean 7.0, range 7.
Before calculating, explain the key idea from “Σύνολα” and which conditions must be checked.
The answer should show not only which rule is used for “Σύνολα”, but also why it is valid here.
Πιθανότητες
Try independently, use the hint if needed, then open the answer guide.
1. Explain the idea and give one correct foundation example for “Σύνολα”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Σύνολα”, shows equivalent steps, and includes a final check.
2. Solve an application and show every intermediate step for “Δειγματικός χώρος”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Δειγματικός χώρος”, shows equivalent steps, and includes a final check.
3. Compare a correct and an incorrect approach and justify the difference for “Ενδεχόμενα”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Ενδεχόμενα”, shows equivalent steps, and includes a final check.
4. Create a short exam-style question and check your answer for “Πιθανότητα ενδεχομένου”.
Write the givens, a useful representation or rule, and only then calculate.
A complete answer defines “Πιθανότητα ενδεχομένου”, shows equivalent steps, and includes a final check.
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.