You will learn
- Read a simple data table or graph.
- Answer how many and which questions.
- Compare more, fewer and the same.
- Tell a short story about data.
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 are facts we collect.
- The most is the biggest number.
- The least is the smallest number.
- Add to find all. Take away to find how many more.
Words to know
Facts we collect.
Something we ask.
The biggest number.
The smallest number.
1. Discover: class vote
The class votes for a play day game: football 7, ludo 4, hide-and-seek 5. What can we find out from these facts?
2. Understand: reading data
Data are facts we collect. We can ask questions: Which has the most? Which has the least? How many altogether? How many more?
Football 7, ludo 4, hide-and-seek 5. Most: football (7). Least: ludo (4). Altogether: 7 + 4 + 5 = 16.
Tell a short story: Football is the favourite game.
Idea 1: Data
Data are facts we collect, such as votes for a favourite food. A question asks what we want to know.
Idea 2: Most and least
The most is the biggest number. The least is the smallest. For votes 7, 4, 5 the most is 7 and the least is 4.
Idea 3: Answer questions
Altogether: 7 + 4 + 5 = 16. How many more: 7 − 4 = 3.
Tell a story: “Most children like maize. The fewest like beans.”
3. Worked examples
Example 1 (I show you): Most
Votes: 7, 4, 5. Which is the most?
- Find the biggest number.
Answer: 7
Example 2 (We do it together): Altogether
Votes: 7, 4, 5. How many votes altogether?
- Add them all.
- 7 + 4 = 11. 11 + 5 = 16.
Answer: 16
Example 3 (You try): How many more
Maize 8, rice 5, beans 3. How many more than beans is maize?
Show the steps and answer
- 8 − 3 = 5.
Answer: 5 more
Did you know?
Governments collect data when they count people. This count is called a census.
Why this matters
Data helps us make choices, like which food to cook for a class.
4. Explore: class questions
You need the class vote from earlier lessons.
- Ask five friends to choose a game.
- Tally the votes.
- Find the most and the least.
- Tell a short story about your data.
Think about it: what did you notice?
Compare the numbers to answer.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The most is ___.
- The least is ___.
- Altogether there are ___.
- ___ has ___ more than ___.
Guided practice
Question 1. Football 7, ludo 4. Which is the least?
Ludo.
Question 2. How many votes altogether (7 + 4 + 5)?
16.
Question 3. How many more votes for football than ludo?
7 − 4 = 3.
Independent practice
Level 1: Start
- Which has the most: 4, 9 or 6?
- Which has the least: 4, 9 or 6?
- 3 + 5 + 2 = ? votes.
- How many more is 9 than 6?
- Tell a story about the data.
Level 2: Grow
- Votes 5, 8, 2. Which is the most?
- Votes 5, 8, 2. How many altogether?
- How many more is 8 than 5?
Level 3: Stretch
- Cats 6 and dogs 6. How do they compare?
- Scores 7, 3 and 9. What is the difference between the most and the least?
- Kofi says the least of 4, 9, 6 is 6. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A graph shows maize 8, rice 5, beans 3. Which crop is grown most? How many more than beans?
Show a sample answer
Maize; 5 more than beans.
Another one. Votes for games: football 9, ludo 6, draughts 4. Tell a short story about the data.
Show a sample answer
Football has the most (9) and draughts the fewest (4). Altogether there are 19 votes.
7. Common mistakes
Fix: Most is the biggest; least is the smallest.
Fix: Most is the biggest. Least is the smallest.
Fix: For how many more, take away.
8. Lesson summary and revision card
- I can read a simple table or graph.
- I can answer how many and which questions.
- I can compare more, fewer and the same.
- I can tell a short story about data.
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 facts we collect.
- Find most, least, altogether and how many more.
- Tell a story from the data.
11. Next lesson
You have finished Grade 1 Mathematics. Well done!
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.
- Votes: 4, 8, 6. Which has the most? [1 mark]
- Votes: 4, 8, 6. Which has the least? [1 mark]
- Votes: 4, 8, 6. How many altogether? [2 marks]
- How many more is 8 than 4? [2 marks]
- Ali says the most of 3, 7, 5 is 3. Is he right? Explain. [2 marks]
Total: 8 marks.
Marking guide and model answers
- 8 [1]
- 4 [1]
- 4 + 8 + 6 [1] = 18 [1]
- 8 − 4 [1] = 4 [1]
- No [1]. The most is the biggest, which is 7 [1].
Score guide: 7 to 8 = secure. 5 to 6 = nearly there, revise the parts you missed. Under 5 = work through the lesson again with a grown-up.
Printable worksheet
- Votes 7, 4, 5. Most?
- Votes 7, 4, 5. Least?
- Altogether?
- How many more is 7 than 4?
- What are data?
- What are facts we collect called?
- Votes 3, 5, 2. The least is ___.
- Votes 3, 5, 2. Altogether?
- How many more is 5 than 3?
- Tell one thing the data shows.
Homework
Collect data at home (favourite food, 5 people). Make a tally and tell one fact.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Votes 7, 4, 5. Most? | 7 | 2 |
| Votes 7, 4, 5. Least? | 4 | 2 |
| Altogether? | 16 | 2 |
| How many more is 7 than 4? | 3 | 2 |
| What are data? | facts we collect | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 7; 2 4; 3 16; 4 3; 5 facts we collect.
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 2; 8 10; 9 2; 10 Any sensible statement.
Independent practice answers. Level 1: 1 9; 2 4; 3 10; 4 3; 5 your own story about the data. Level 2: 1 8; 2 15; 3 3. Level 3: 1 The same; 2 6; 3 The least is 4..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Read a simple data table or graph | 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 Answer how many and which questions | 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 Compare more, fewer and the same | 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 Tell a short story about 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 |
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: Mixing up most and least. Most is the biggest; least is the smallest.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Use a table of three small numbers and ask only most and least.
- 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 reads simple data and answers questions about it. You do not need to be good at mathematics to help.
- Ask the family to vote for a favourite food and record it.
- Ask: which has the most? How many votes in all?
- Talk about what the data tells you.
- 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: read a simple data table or graph; answer how many and which questions; compare more, fewer and the same; tell a short story about data.
Prerequisite knowledge. Lessons 1 to 5.
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 the class vote from earlier lessons. 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. Which is the most? Which is the least? How many altogether?
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. Mixing up most and least. Most is the biggest; least is the smallest.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 8-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. Use a table of three small numbers and ask only most and least. 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 1 » 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 1.MD.C.4 (interpret data); Cambridge Primary Mathematics Stage 1 (data). These sources informed the lesson.