You will learn
- Say what data is.
- Collect data with a question.
- Record data with tally marks.
- Count tallies in groups of five.
Version 0.2 · expanded edition · built from cited public sources Content is based on the official frameworks and sources listed under Sources and standards. No official endorsement is claimed. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- Data is facts and numbers we collect.
- A survey asks everyone the same question.
- Record with tally marks.
- Count tallies in fives.
Words to know
Facts and numbers collected.
Asking many people the same question.
A mark used to count.
A group in the data.
1. Discover: favourite pets
The class wants to know which pet children like best. How can you find out quickly and keep a record that is easy to count?
2. Understand: collecting data
Data are facts we collect. A survey asks everyone the same question, such as: “Which pet do you like best?”
- Make a list of categories: dog, cat, bird, fish.
- Make one tally mark for each answer. Draw the fifth mark across the first four to make a group of 5.
- Count in 5s, then add the rest.
Example: dog 7, cat 5, bird 3, fish 4. Total children asked: 7 + 5 + 3 + 4 = 19.
Idea 1: Data
Data is facts and numbers we collect. A survey asks many people the same question.
Idea 2: Tally
Each vote is a tally mark. Four lines and one across make a group of 5. A group of 5 and 3 more is 8.
Idea 3: Categories
Dog 6 and cat 4 make 10 asked. Two groups of 5 tally marks make 10.
Why group in fives? It makes counting faster and less error-prone.
3. Worked examples
Example 1 (I show you): Tally
A group of 5 and 3 more.
- 5 + 3.
Answer: 8
Example 2 (We do it together): Total
Dog 6, cat 4. Total asked?
- 6 + 4.
Answer: 10
Example 3 (You try): Most
Dog 7, cat 5. Which has more?
Show the steps and answer
- 7 is more than 5.
Answer: dog
Did you know?
Governments run a census to collect data about everyone in the country.
Why this matters
Data helps us make decisions.
4. Explore: class survey
You need paper, a pencil and 10 classmates.
- Choose a question with four answers.
- Write the categories.
- Ask each person once and make a tally mark.
- Count each category and the total.
Think about it: what did you notice?
The total equals the number of people asked.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The question is ___.
- There are ___ categories.
- The tally shows ___.
- The total asked is ___.
Guided practice
Question 1. How many tally marks in one full group?
5.
Question 2. Dog 7, cat 5, bird 3, fish 4: total?
19.
Question 3. What do we call the question we ask everyone?
A survey question.
Independent practice
Level 1: Start
- Tally group of 5 and 3 more: total?
- Dog 6, cat 4: total asked
- Which pet has 7 votes if dog 7, cat 5?
- Categories in dog, cat, bird, fish
- Two groups of 5 tally marks: total?
Level 2: Grow
- A group of 5, a group of 5 and 2 more
- Cat 8, dog 5. Total asked?
- Dog 7, cat 5. Which pet has the most?
Level 3: Stretch
- Categories in cat, dog, bird
- 6 groups of 5 tally marks
- Ana counts 3 groups of 5 tallies as 8. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A teacher asks 20 pupils for their favourite sport and records tallies. What should the total of all tallies be?
Show a sample answer
20.
Another one. Survey 10 people about their favourite colour and record the votes with tally marks.
Show a sample answer
for example red 4, blue 3, green 3 with tally marks
7. Common mistakes
Fix: Ask each person once.
Fix: Only a group of 5 is 5.
Fix: Ask everyone the same question.
8. Lesson summary and revision card
- I know what data is.
- I can collect data with a question.
- I can record with tally marks.
- I can count in groups of five.
9. Check and master
Answer all 14 questions. You will see feedback after each one.
Your result appears here after you answer every question.
10. Key takeaways
- Data are collected facts.
- Tally one mark per answer.
- Groups of 5 make counting easy.
11. Next lesson
Next lesson: Frequency tables. Keep going with the next idea in this course.
Exam practice
These questions are written in the style of common school and international primary assessments. Try them on your own, without looking back. Then check your answers in the marking guide. The marks are shown in brackets.
- What is data? [1 mark]
- How many marks are in a full tally group? [1 mark]
- Dog 7, cat 5, bird 3, fish 4. How many were asked? [2 marks]
- In the same survey, how many more chose dog than bird? [2 marks]
- Kofi says 2 groups of 5 tally marks make 7. Is he right? Explain. [3 marks]
Total: 9 marks.
Marking guide and model answers
- Facts and numbers collected [1]
- 5 [1]
- 7 + 5 + 3 + 4 [1] = 19 [1]
- 7 − 3 [1] = 4 [1]
- No [1]. Each group is 5 [1]. 2 × 5 = 10 [1].
Score guide: 8 to 9 = secure. 6 to 7 = nearly there, revise the parts you missed. Under 6 = work through the lesson again with a grown-up.
Printable worksheet
- Groups of 5 tally marks: 3 groups
- Dog 6, cat 4: total
- Dog 7, cat 5: most votes
- Categories in dog, cat, bird, fish
- Two groups of 5 tallies
- Facts that we collect are called ___.
- A full group of tally marks has ___.
- Dog 7, cat 5, bird 3, fish 4. Total asked:
- Two groups of 5 tally marks make ___.
- Dog 7, bird 3. How many more chose dog?
Homework
Ask 15 family members or neighbours a question and record their answers with tallies.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Groups of 5 tally marks: 3 groups | 15 | 2 |
| Dog 6, cat 4: total | 10 | 2 |
| Dog 7, cat 5: most votes | dog | 2 |
| Categories in dog, cat, bird, fish | 4 | 2 |
| Two groups of 5 tallies | 10 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 15; 2 10; 3 dog; 4 4; 5 10.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, 6 A, 7 B, 8 C, 9 A, 10 B, 11 C, 12 A, Challenge 1 C, Challenge 2 C.
Extra worksheet answers (items 6 onward): 6 data; 7 5; 8 19; 9 10; 10 4.
Independent practice answers. Level 1: 1 8; 2 10; 3 dog; 4 4; 5 10. Level 2: 1 12; 2 13; 3 dog. Level 3: 1 3; 2 30; 3 She added. 3 × 5 = 15..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Say what data is | 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 Collect data with a 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 Record data with tally marks | 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 Count tallies in groups of five | 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 |
Courseversity badge thresholds (overall quiz score): Gold = 90–100%; Silver = 80–89.9%; Bronze = 70–79.9%. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Asking the same person twice. Ask each person once.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Practise tally marks by counting classroom objects.
- 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.
For parents and guardians
In this lesson your child collects data and records it with tally marks. You do not need to be good at mathematics to help.
- Do a family survey and use tally marks.
- Ask: what is the question?
- Count in fives.
- Ask “how do you know?” after each answer, and listen.
- Praise effort, not only right answers. Mistakes are how we learn.
- Ten to fifteen minutes a day is better than one long session.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: say what data is; collect data with a question; record data with tally marks; count tallies in groups of five.
Prerequisite knowledge. Grade 2 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. 45–60 minutes. It can be split into two shorter sessions.
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, a pencil and 10 classmates. 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.
Key questions. What is the question? What are the categories? How many votes?
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 the same person twice. Ask each person once.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 9-mark exam practice scheme, the 10-mark scheme and all answers are in the answer sections above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Practise tally marks by counting classroom objects. 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
This lesson is based on the sources below, and no official 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. Where a standard code is named, it points to the official framework.
Official standards for this topic area. Common Core State Standards for Mathematics (official site): Grade 3 » Measurement & Data. These pages list the standards that cover this topic area; read them alongside the lesson.
Research used to shape this lesson. Common Core 2.MD.D.10 and 3.MD.B.3; Cambridge Primary Mathematics Stage 3 (data handling). These sources informed the lesson.