You will learn
- Plan a data collection.
- Write a clear question.
- Collect numerical data.
- Record data accurately.
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
Collected facts.
Asking many people.
A small group chosen.
Data in numbers.
1. Discover: class heights
You want to know the heights of pupils in your class. How will you collect the data fairly?
2. Understand: collecting data
- Write a clear question: “How many minutes do you read each day?”
- Numerical data can be counted (number of siblings) or measured (height in cm).
- A fair sample is chosen without bias; ask all pupils or a random group.
- Record each answer once, in a table or with tallies.
3. Explore: collect
You need paper.
- Write a question.
- Choose who to ask.
- Record answers.
- Check the total.
Think about it: what did you notice?
Total equals the number asked.
4. Practise
Guided practice
Question 1. Is height counted or measured?
Measured.
Question 2. Number of siblings?
Counted.
Question 3. Why a fair sample?
To avoid bias.
Independent practice
- Counted or measured: shoe size
- Counted or measured: time to run 100 m
- Write a survey question about reading
- Why ask the same person once?
- Tool for recording counts
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
To find class reading time you ask only the best readers. What is wrong?
Show a sample answer
The sample is biased.
6. Common mistake
Fix: Choose a fair sample.
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
- Clear question.
- Fair sample.
- Careful recording.
9. Next lesson
Next lesson: Frequency tables. Keep going with the next idea in this course.
Printable worksheet
- Shoe size: counted or measured?
- Time to run 100 m
- Why a fair sample
- Record each answer
- Tool for counts
Homework
Collect the number of books read by ten people.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Shoe size: counted or measured? | counted | 2 |
| Time to run 100 m | measured | 2 |
| Why a fair sample | avoid bias | 2 |
| Record each answer | once | 2 |
| Tool for counts | tally | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 counted; 2 measured; 3 avoid bias; 4 once; 5 tally.
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 Plan a data collection | 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 Write a clear question | 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 Collect numerical 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 |
| O4 Record data accurately | 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: Asking only friends. Choose a fair sample.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Tally marks.
- 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: plan a data collection; write a clear question; collect numerical data; record data accurately.
Prerequisite knowledge. Grade 4 data.
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. Asking only friends. Choose a fair sample.
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. Tally marks. 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.