Learning objectives
- Recognise, explain, and apply “αξία θέσης”.
- Recognise, explain, and apply “πρόσθεση και αφαίρεση”.
- Recognise, explain, and apply “χρήματα και μέτρηση”.
Greek Primary Grade 4 / Mathematics / Κλάσματα και δεκαδικοί
Δεκαδικοί έως εκατοστά: structured theory, worked examples, answered practice, and a mastery checklist for Greek Primary Grade 4.
Unit
The essential chapter ideas in a clear sequence before practice.
Mark every given on the diagram and state the target clearly. Start from a relationship that connects exactly those quantities.
Mathematics
Start with theory and core examples, then move to worked exercises and short test-style practice.
The structure follows the official textbook layout and is used to organise study.
The areas that usually create mistakes or need extra revision.
Every geometric step needs a property, theorem, or definition. A result without justification is not a complete proof.
Length, area, volume, and angle use different units. Round only at the end and keep sufficient intermediate precision.
Draw and label every given before choosing a property or formula. Finish with estimation, an inverse operation, or substitution as a check.
Draw and label every given before choosing a property or formula. Finish with estimation, an inverse operation, or substitution as a check.
Draw and label every given before choosing a property or formula. Finish with estimation, an inverse operation, or substitution as a check.
Mathematics
Follow the method step by step and check why every step is valid.
A rectangle is 7 cm long and 4 cm wide. Find its perimeter and, where covered, its area.
Perimeter 22 cm, area 28 cm².
Explain “αξία θέσης” in your own words and use a picture, objects, a table, or a simple measurement to support it.
A complete explanation connects the correct idea, a clear representation, and a sensible check.
Δεκαδικοί έως εκατοστά
Eight graded tasks from core fluency to exam-style application. Work independently before opening a hint or answer.
Calculate 4 + 4 and show two representations connected with “αξία θέσης”.
Use a number line, place value, or objects.
4 + 4 = 8. Valid representations include number-line jumps and grouped objects.
6 equal groups contain 7 objects each. Find the total and write an addition and multiplication statement.
Add 7 a total of 6 times.
7 + 7 + 7 + 7 + 7 + 7 = 6 · 7 = 42.
Continue 3, 6, 9, ... for three more terms and explain the rule.
Check how much each term increases.
12, 15, 18; +3.
A rectangle has sides 6 cm and 5 cm. Find its perimeter and explain why four sides are counted.
Opposite sides are equal.
Perimeter = 6 + 5 + 6 + 5 = 22 cm.
Out of 18 objects, 9 are shaded. What fraction is shaded and how does it simplify?
Put shaded objects over the total.
9/18 = 1/2.
The measurements are 5, 4, 5, and 4. Find the greatest, least, and range.
Range = greatest value minus least value.
Greatest 5, least 4, range 1.
Anna has 48 cards, gives away 8, then shares the rest into 5 equal groups. How many are in each group?
Subtract first, then divide.
48 - 8 = 40; (40) : 5 = 8.
A learner says 4 + 3 = 8. Find the error, correct it, and check the correction.
Check with a number line or inverse subtraction.
4 + 3 = 7; 7 - 3 = 4.
Δεκαδικοί έως εκατοστά
Six distinct assignments from core fluency to challenge, each with an estimated time, hint, and answer guide.
Homework 1: Calculate 7 + 5 and show two representations connected with “αξία θέσης”.
Use a number line, place value, or objects.
7 + 5 = 12. Valid representations include number-line jumps and grouped objects.
Homework 2: 2 equal groups contain 3 objects each. Find the total and write an addition and multiplication statement.
Add 3 a total of 2 times.
3 + 3 = 2 · 3 = 6.
Homework 3: Continue 6, 10, 14, ... for three more terms and explain the rule.
Check how much each term increases.
18, 22, 26; +4.
Homework 4: A rectangle has sides 9 cm and 6 cm. Find its perimeter and explain why four sides are counted.
Opposite sides are equal.
Perimeter = 9 + 6 + 9 + 6 = 30 cm.
Homework 5: Out of 15 objects, 5 are shaded. What fraction is shaded and how does it simplify?
Put shaded objects over the total.
5/15 = 1/3.
Homework 6: The measurements are 8, 5, 8, and 5. Find the greatest, least, and range.
Range = greatest value minus least value.
Greatest 8, least 5, range 3.
35 minutes / 30 marks
A timed, full-mark self-assessment with model-answer guidance.
Start the timer when ready, work without notes, show every step, and open model answers only after finishing.
1. Calculate 5 + 5 and show two representations connected with “αξία θέσης”.
2 marks5 + 5 = 10. Valid representations include number-line jumps and grouped objects.
2. 2 equal groups contain 8 objects each. Find the total and write an addition and multiplication statement.
3 marks8 + 8 = 2 · 8 = 16.
3. Continue 4, 8, 12, ... for three more terms and explain the rule.
3 marks16, 20, 24; +4.
4. A rectangle has sides 7 cm and 6 cm. Find its perimeter and explain why four sides are counted.
4 marksPerimeter = 7 + 6 + 7 + 6 = 26 cm.
5. Out of 9 objects, 3 are shaded. What fraction is shaded and how does it simplify?
4 marks3/9 = 1/3.
6. The measurements are 6, 5, 6, and 5. Find the greatest, least, and range.
4 marksGreatest 6, least 5, range 1.
7. Anna has 18 cards, gives away 9, then shares the rest into 1 equal groups. How many are in each group?
5 marks18 - 9 = 9; (9) : 1 = 9.
8. A learner says 5 + 4 = 10. Find the error, correct it, and check the correction.
5 marks5 + 4 = 9; 9 - 4 = 5.
Unit
Curriculum reference sources. Always confirm the teaching sequence with the school and tutor.
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.