You will learn
- Count objects in each group.
- Write the number for each group.
- Say which group has more or fewer.
- Find how many in all.
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
- Count each group.
- Write the number for each group.
- More means a bigger number. Fewer means a smaller number.
- Add the groups to find altogether.
Words to know
Say how many.
A bigger number.
A smaller number.
All the groups added.
1. Discover: fruit sellers
One seller has 7 mangoes. Another has 5 oranges. Who has more fruit? How many fruits do they have altogether?
2. Understand: counting categories
After sorting, count each group and write the number. Then compare. The group with the bigger number has more. The smaller number has fewer.
To find how many altogether, add the numbers: 7 + 5 = 12.
Idea 1: Count each group
To count a group, say how many are in it. There are 5 hens and 3 goats.
Idea 2: More and fewer
5 is more than 3. 3 is fewer than 5. To find how many more, take away: 5 − 3 = 2.
Idea 3: Altogether
Altogether means all the groups added: 5 + 3 = 8 animals.
Why add? We join the groups to find the whole.
3. Worked examples
Example 1 (I show you): Which has more?
Red 6, blue 4. Which has more?
- 6 is greater than 4.
Answer: Red
Example 2 (We do it together): Altogether
5 hens and 3 goats. How many animals altogether?
- Add the groups.
- 5 + 3 = 8.
Answer: 8
Example 3 (You try): How many more
7 mangoes and 5 oranges. How many more mangoes?
Show the steps and answer
- 7 − 5 = 2.
Answer: 2 more
Did you know?
Farmers and shopkeepers count categories every day. They count how many of each kind they have.
Why this matters
Counting groups helps us compare and share things fairly.
4. Explore: count the groups
You need 15 buttons, red and blue.
- Sort the buttons by colour.
- Count each group and write the number.
- Say which group has more.
- Add to find how many altogether.
Think about it: what did you notice?
Compare the numbers and add them for the total.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- There are ___ in the ___ group.
- ___ has more than ___.
- ___ has fewer than ___.
- Altogether there are ___.
Guided practice
Question 1. Red: 6. Blue: 4. Which has more?
Red.
Question 2. How many altogether?
6 + 4 = 10.
Question 3. How many fewer is blue than red?
2 fewer.
Independent practice
Level 1: Start
- 5 hens and 3 goats. Which group has more?
- How many animals altogether?
- 8 boys and 6 girls. How many fewer girls?
- Count the red items in your bag.
- 2 groups of 4. How many altogether?
Level 2: Grow
- 6 red and 2 blue. Which group has more?
- 4 + 5 altogether is ___.
- 7 birds and 3 cats. How many fewer cats than birds?
Level 3: Stretch
- 5 cows, 4 goats and 2 hens. How many animals altogether?
- Group A has 9 and group B has 6. How many more in A?
- Ama counts 4 red and 3 blue and says 12 altogether. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
At a stall: 9 yams and 7 plantains. How many more yams?
Show a sample answer
2 more yams.
Another one. In class 9 children wear shoes with laces and 6 do not. How many children altogether? How many more wear laces?
Show a sample answer
15 children; 3 more
7. Common mistakes
Fix: Bigger number means more.
Fix: For how many more, take away.
Fix: Touch and count each object once.
8. Lesson summary and revision card
- I can count the objects in each group.
- I can write the number for each group.
- I can say which group has more or fewer.
- I can find how many in all.
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
- Count each group.
- Compare with more and fewer.
- Add to find altogether.
11. Next lesson
Next lesson: Simple tally marks. 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.
- 5 hens and 4 goats. How many animals altogether? [2 marks]
- Red 7 and blue 3. Which group has more? [1 mark]
- 8 boys and 5 girls. How many fewer girls than boys? [2 marks]
- There are 3 groups of 2. How many altogether? [2 marks]
- Ali counts 6 red and 2 blue and says there are 4 altogether. Is he right? Explain. [3 marks]
Total: 10 marks.
Marking guide and model answers
- 5 + 4 [1] = 9 [1]
- Red [1]
- 8 − 5 [1] = 3 [1]
- 2 + 2 + 2 [1] = 6 [1]
- No [1]. Altogether means add [1]. 6 + 2 = 8 [1].
Score guide: 9 to 10 = secure. 6 to 8 = nearly there, revise the parts you missed. Under 6 = work through the lesson again with a grown-up.
Printable worksheet
- Red 8, blue 5. Which has more?
- How many altogether?
- How many fewer is blue?
- 6 + 4 = ?
- Which is fewer: 9 or 12?
- 4 red and 3 blue altogether?
- Which is fewer, 9 or 6?
- 7 cows, 4 goats. How many more cows?
- Two groups of 5 altogether?
- What do we do to find altogether?
Homework
Count the cups and plates at home. Which has more? How many altogether?
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Red 8, blue 5. Which has more? | red | 2 |
| How many altogether? | 13 | 2 |
| How many fewer is blue? | 3 | 2 |
| 6 + 4 = ? | 10 | 2 |
| Which is fewer: 9 or 12? | 9 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 red; 2 13; 3 3; 4 10; 5 9.
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 7; 7 6; 8 3; 9 10; 10 Add.
Independent practice answers. Level 1: 1 hens; 2 8; 3 2; 4 your own count; 5 8. Level 2: 1 red; 2 9; 3 4. Level 3: 1 11; 2 3; 3 She should add: 4 + 3 = 7.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Count objects in each group | 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 the number for each group | 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 Say which group has more or fewer | 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 Find how many in all | 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: Saying the group with the smaller number has more. Bigger number means more.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Use counters in two rows and match them one to one.
- 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 counts objects in groups and compares them. You do not need to be good at mathematics to help.
- Sort socks or fruit and count each group.
- Ask: which group has more? How many altogether?
- Make up a problem about your family.
- 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: count objects in each group; write the number for each group; say which group has more or fewer; find how many in all.
Prerequisite knowledge. Addition to 20; Lessons 1 and 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. 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 15 buttons, red and blue. 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. How many in each group? Which has more? 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. Saying the group with the smaller number has more. Bigger number means more.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 10-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 counters in two rows and match them one to one. 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 K.MD.B.3 (classify and count); Cambridge Primary Mathematics Stage 1 (data). These sources informed the lesson.