Courseversity

Lesson

Organising data

Primary EducationGrade 6MathematicsCV-PRI-G06-MATH-DAT-U01-L0335–45 min

You will learn

  • Make a tally chart.
  • Sort data.
  • Group data.
  • Check totals.

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

tally
Counting marks.
table
Rows and columns.
category
Group of data.
total
All added.

1. Discover: favourite fruit

You ask 20 pupils their favourite fruit. How can you keep track of the answers?

2. Understand: organising data

  • Make a tally chart: one mark per answer, groups of five.
  • Fruit: mango 8, orange 5, banana 4, pawpaw 3.
  • Total: 8 + 5 + 4 + 3 = 20.
  • Group continuous data: ages 10–12, 13–15.
Remember: One tally per answer. Check the total.

3. Explore: tally

You need paper.

  1. List categories.
  2. Tally each answer.
  3. Count tallies.
  4. Check the total.
Think about it: what did you notice?

20.

4. Practise

Guided practice

Question 1. Total fruit votes?

20.

Question 2. Most popular?

mango.

Question 3. Least popular?

pawpaw.

Independent practice

  1. Most popular fruit
  2. Least popular fruit
  3. Mango minus banana
  4. Total votes
  5. Fraction who chose mango

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

5. Apply: everyday mathematics

20 pupils vote: mango 8, orange 5, banana 4, pawpaw 3. Check the total.

Show a sample answer

20.

6. Common mistake

Mistake: Not checking the total.
Fix: Always check.

7. Check and master

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

1. Most popular:

2. Least popular:

3. Mango minus banana:

4. Total votes:

5. Fraction choosing mango:

Challenge. Tally total should equal:

Your result appears here after you answer every question.

8. Key takeaways

  • Tally in fives.
  • Check totals.
  • Organise by category.

9. Next lesson

Next lesson: Frequency tables. Keep going with the next idea in this course.

Printable worksheet

  1. Most popular
  2. Least popular
  3. Mango minus banana
  4. Total votes
  5. Fraction who chose mango

Homework

Tally the colours of cars outside your home.

Answer key and marking scheme

Question Expected response Marks
Most popular mango 2
Least popular pawpaw 2
Mango minus banana 4 2
Total votes 20 2
Fraction who chose mango 8/20 2
Total 10

Practice answers: Worksheet: 1 mango; 2 pawpaw; 3 4; 4 20; 5 8/20.

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 Make a tally chart 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 Sort 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
O3 Group 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 Check totals 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: Not checking the total. Always check.
  2. Explain another way: use real objects first, then pictures.
  3. Show a simpler example: Counting in fives.
  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: make a tally chart; sort data; group data; check totals.

Prerequisite knowledge. Lesson 2.

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. Not checking the total. Always check.

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. Counting in fives. 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.

Scroll to Top