Learning objectives
- Recognise, explain, and apply “ορθογώνιο”.
- Recognise, explain, and apply “σύνθετα σχήματα”.
- Recognise, explain, and apply “μονάδες εμβαδού”.
Greek Primary Grade 4 / Mathematics / Γεωμετρία
Περίμετρος και εμβαδόν: 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 9 cm long and 5 cm wide. Find its perimeter and, where covered, its area.
Perimeter 28 cm, area 45 cm².
Explain “ορθογώνιο” 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.
Περίμετρος και εμβαδόν
Eight graded tasks from core fluency to exam-style application. Work independently before opening a hint or answer.
Calculate 6 + 5 and show two representations connected with “ορθογώνιο”.
Use a number line, place value, or objects.
6 + 5 = 11. Valid representations include number-line jumps and grouped objects.
2 equal groups contain 9 objects each. Find the total and write an addition and multiplication statement.
Add 9 a total of 2 times.
9 + 9 = 2 · 9 = 18.
Continue 5, 9, 13, ... for three more terms and explain the rule.
Check how much each term increases.
17, 21, 25; +4.
A rectangle has sides 8 cm and 6 cm. Find its perimeter and explain why four sides are counted.
Opposite sides are equal.
Perimeter = 8 + 6 + 8 + 6 = 28 cm.
Out of 12 objects, 4 are shaded. What fraction is shaded and how does it simplify?
Put shaded objects over the total.
4/12 = 1/3.
The measurements are 7, 5, 7, and 5. Find the greatest, least, and range.
Range = greatest value minus least value.
Greatest 7, least 5, range 2.
Anna has 6 cards, gives away 3, then shares the rest into 1 equal groups. How many are in each group?
Subtract first, then divide.
6 - 3 = 3; (3) : 1 = 3.
A learner says 6 + 4 = 11. Find the error, correct it, and check the correction.
Check with a number line or inverse subtraction.
6 + 4 = 10; 10 - 4 = 6.
Περίμετρος και εμβαδόν
Six distinct assignments from core fluency to challenge, each with an estimated time, hint, and answer guide.
Homework 1: Calculate 9 + 6 and show two representations connected with “ορθογώνιο”.
Use a number line, place value, or objects.
9 + 6 = 15. Valid representations include number-line jumps and grouped objects.
Homework 2: 3 equal groups contain 5 objects each. Find the total and write an addition and multiplication statement.
Add 5 a total of 3 times.
5 + 5 + 5 = 3 · 5 = 15.
Homework 3: Continue 8, 13, 18, ... for three more terms and explain the rule.
Check how much each term increases.
23, 28, 33; +5.
Homework 4: A rectangle has sides 4 cm and 2 cm. Find its perimeter and explain why four sides are counted.
Opposite sides are equal.
Perimeter = 4 + 2 + 4 + 2 = 12 cm.
Homework 5: Out of 28 objects, 7 are shaded. What fraction is shaded and how does it simplify?
Put shaded objects over the total.
7/28 = 1/4.
Homework 6: The measurements are 3, 6, 3, and 6. Find the greatest, least, and range.
Range = greatest value minus least value.
Greatest 6, least 3, 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 7 + 6 and show two representations connected with “ορθογώνιο”.
2 marks7 + 6 = 13. Valid representations include number-line jumps and grouped objects.
2. 3 equal groups contain 3 objects each. Find the total and write an addition and multiplication statement.
3 marks3 + 3 + 3 = 3 · 3 = 9.
3. Continue 6, 11, 16, ... for three more terms and explain the rule.
3 marks21, 26, 31; +5.
4. A rectangle has sides 9 cm and 2 cm. Find its perimeter and explain why four sides are counted.
4 marksPerimeter = 9 + 2 + 9 + 2 = 22 cm.
5. Out of 20 objects, 5 are shaded. What fraction is shaded and how does it simplify?
4 marks5/20 = 1/4.
6. The measurements are 8, 6, 8, and 6. Find the greatest, least, and range.
4 marksGreatest 8, least 6, range 2.
7. Anna has 12 cards, gives away 4, then shares the rest into 2 equal groups. How many are in each group?
5 marks12 - 4 = 8; (8) : 2 = 4.
8. A learner says 7 + 5 = 13. Find the error, correct it, and check the correction.
5 marks7 + 5 = 12; 12 - 5 = 7.
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.