You will learn
- Order data.
- Find the middle value.
- Find the median of an even set.
- Explain why order matters.
Version 0.1 · published for early use · expert review pending Standards alignment: pending verification. Not yet reviewed against the Courseversity scorecard.
Student lesson
Words to know
Middle value.
Arrange by size.
Two middle values.
Add and halve.
1. Discover: middle child
Five pupils have heights 130, 128, 135, 126 and 132 cm. Which one is in the middle?
2. Understand: median
- Order: 126, 128, 130, 132, 135. The middle is 130.
- Even set 4, 6, 8, 10: middle two are 6 and 8, so median 7.
- Unordered 9, 2, 7, 4, 5 → order 2, 4, 5, 7, 9 → median 5.
- Always order first.
3. Explore: median
You need paper.
- Order.
- Find the middle.
- If two, average them.
- Check.
Think about it: what did you notice?
130.
4. Practise
Guided practice
Question 1. Median of 126–135 set?
130.
Question 2. Median of 4, 6, 8, 10?
7.
Question 3. Median of 9, 2, 7, 4, 5?
5.
Independent practice
- Median of 3, 5, 7
- Median of 4, 6, 8, 10
- Median of 9, 2, 7, 4, 5
- Median of 1, 2, 3, 4
- Why order first?
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
Heights 130, 128, 135, 126, 132. Median?
Show a sample answer
130 cm.
6. Common mistake
Fix: Order first.
7. Check and master
Answer all questions. You will see feedback after each one.
Your result appears here after you answer every question.
8. Key takeaways
- Order first.
- Middle value.
- Even sets: average of two.
9. Next lesson
Next lesson: Mode. Keep going with the next idea in this course.
Printable worksheet
- Median of 3, 5, 7
- Median of 4, 6, 8, 10
- Median of 9, 2, 7, 4, 5
- Median of 1, 2, 3, 4
- Why order first
Homework
Find the median of the ages in your family.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Median of 3, 5, 7 | 5 | 2 |
| Median of 4, 6, 8, 10 | 7 | 2 |
| Median of 9, 2, 7, 4, 5 | 5 | 2 |
| Median of 1, 2, 3, 4 | 2.5 | 2 |
| Why order first | median is the middle | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 5; 2 7; 3 5; 4 2.5; 5 median is the middle.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, challenge C.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Order data | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Find the middle value | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Find the median of an even set | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Explain why order matters | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Proposed Courseversity thresholds for this page: Bronze = at least 3 of 5 core questions correct; Silver = all 5; Gold = all 5 plus the challenge. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Taking the middle of unordered data. Order first.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Ordering.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: order data; find the middle value; find the median of an even set; explain why order matters.
Prerequisite knowledge. Lesson 7.
Materials. Counters (stones, seeds or bottle tops), paper, pencils, board or chalkboard. Low-resource options: use stones, seeds, sticks, bottle tops or drawings in the sand or on the board instead of printed materials.
Preparation. Gather the counters and draw the example pictures on the board before the lesson.
Suggested duration. 35–45 minutes.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Start with the Discover situation and let learners suggest ideas before you teach.
Explanation (10 min). Teach the Understand section with real objects first, then pictures, then symbols and words.
Guided activity (10 min). You need paper. Learners follow the Explore steps in pairs.
Independent activity (10 min). Learners complete the independent practice and the worksheet.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Teacher explanation notes. Use the concrete, pictorial, abstract order: real objects first, then pictures, then symbols and words. Return to real objects whenever a learner needs support.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and work with a partner; say each step aloud together. Extension. Ask learners to make up their own example and explain it to a partner.
Formative assessment. Listen to learner explanations, ask “how do you know?”, and check the independent work.
Misconceptions. Taking the middle of unordered data. Order first.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 10-mark scheme and all answers are in the answer key above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Ordering. Enrichment. Invite learners to find or create three more examples at home or in the classroom and explain them. Homework. See above.
Teacher reflection. After teaching, record: which concepts learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
Alignment is pending verification and no external endorsement is claimed. Reference starting points named in the Courseversity standard: Common Core State Standards for Mathematics, Cambridge Primary and the IB Primary Years Programme. Specific standard codes will be added once checked against the official documents.