Courseversity

Lesson

Collecting data

Primary EducationGrade 6MathematicsCV-PRI-G06-MATH-DAT-U01-L0235–45 min

You will learn

  • Choose a method.
  • Choose a sample.
  • Spot bias.
  • Record 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

survey
Asking questions.
sample
A part of the population.
bias
Unfair slant.
census
Data from everyone.

1. Discover: asking whom?

To find how pupils get to school you ask only those who live near. Is that fair?

2. Understand: collecting data

  • A census asks everyone; a sample asks a part.
  • A good sample is random and large enough.
  • Asking only nearby pupils is biased.
  • Record answers with tallies or a table as you go.
Remember: Fair, random, large enough.

3. Explore: plan

You need paper.

  1. Write the question.
  2. Choose a sample.
  3. Collect.
  4. Record.
Think about it: what did you notice?

A fair survey.

4. Practise

Guided practice

Question 1. Asking everyone?

census.

Question 2. Asking only nearby pupils?

biased.

Question 3. A good sample is?

random.

Independent practice

  1. Census or sample: asking 10 of 100 pupils
  2. Biased? Asking only the football team about favourite sport
  3. Biased? Asking pupils chosen by lottery
  4. Method for heights
  5. Why record as you go?

Answers are in the answer key below. Try first, then check.

5. Apply: everyday mathematics

You ask only the football team about favourite sport. Problem?

Show a sample answer

Biased.

6. Common mistake

Mistake: Asking only friends.
Fix: Choose randomly.

7. Check and master

Answer all questions. You will see feedback after each one.

1. Asking 10 of 100 pupils:

2. Asking only the football team about favourite sport:

3. Choosing pupils by lottery:

4. Heights are collected by:

5. Record as you go to:

Challenge. Asking everyone is a:

Your result appears here after you answer every question.

8. Key takeaways

  • Sample or census.
  • Random is fair.
  • Avoid bias.

9. Next lesson

Next lesson: Organising data. Keep going with the next idea in this course.

Printable worksheet

  1. 10 of 100 pupils
  2. Football team only
  3. Lottery selection
  4. Heights by
  5. Asking everyone

Homework

Plan a survey about favourite subjects.

Answer key and marking scheme

Question Expected response Marks
10 of 100 pupils sample 2
Football team only biased 2
Lottery selection fair 2
Heights by measuring 2
Asking everyone census 2
Total 10

Practice answers: Worksheet: 1 sample; 2 biased; 3 fair; 4 measuring; 5 census.

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 Choose a method 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 Choose a sample 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 Spot bias 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 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

  1. Find the misconception: Asking only friends. Choose randomly.
  2. Explain another way: use real objects first, then pictures.
  3. Show a simpler example: Tally marks.
  4. Guided practice: work through one example together and let the learner try the next one.
  5. Reassess: use the quiz again or the worksheet.
  6. Move on when the learner shows Silver-level evidence independently.

Teacher package

1–5. Objectives, prerequisites, materials, preparation, duration

Lesson objectives. Learners will: choose a method; choose a sample; spot bias; record accurately.

Prerequisite knowledge. Lesson 1.

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 randomly.

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.

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