You will learn
- Share objects equally.
- Say how many each person gets.
- Check that every share is the same.
- Tell fair sharing from unfair sharing.
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
- Sharing equally means each gets the same.
- Share one by one until none are left.
- Check that every share is equal.
- Some things cannot be shared equally.
Words to know
Give out so each gets some.
The same amount for each.
Equal for everyone.
What remains after sharing.
1. Discover: sharing mangoes
Mama has 12 mangoes. She shares them equally among 3 children. How many does each child get?
2. Understand: sharing equally
When we share equally, every person gets the same number. Give out one at a time: 1 to each, then another to each, until all are given.
12 mangoes shared among 3 children: each gets 4. Check: 4 + 4 + 4 = 12.
If one child gets 5 and another 3, the sharing is not equal.
Idea 1: Share one by one
To share equally, give one to each person at a time. 12 shared among 3 gives 4 each.
Idea 2: Check
Count each share. If every share is the same it is fair. 4, 4, 4 is fair. 4, 4, 5 is not.
Idea 3: Left over
7 sweets shared among 2 children gives 3 each and 1 left over.
Why left over? 7 cannot be split into two equal whole shares.
3. Worked examples
Example 1 (I show you): Share 12
12 shared among 3. How many each?
- Give one at a time.
- 4 each.
Answer: 4
Example 2 (We do it together): Check
Check: 3 children get 4 each. Is it 12?
- 3 × 4 = 12.
Answer: Yes
Example 3 (You try): Left over
7 sweets shared among 2. How many each? How many left?
Show the steps and answer
- 3 each uses 6.
- 1 is left.
Answer: 3 each, 1 left over
Did you know?
Fair sharing is important in families and in markets so that everyone feels treated well.
Why this matters
Sharing equally is the start of division.
4. Explore: deal them out
You need 12 counters and 3 cups.
- Put the counters in a pile.
- Give one counter to each cup, again and again.
- Count how many are in each cup.
- Check by adding the cups.
Think about it: what did you notice?
Each cup has 4 counters.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- ___ shared among ___ gives ___ each.
- Each share is ___.
- There are ___ left over.
- It is fair because ___.
Guided practice
Question 1. 12 mangoes shared among 3. Each gets?
4.
Question 2. 10 shared among 2?
5 each.
Question 3. Is 5, 3, 4 an equal share?
No.
Independent practice
Level 1: Start
- 12 shared among 3
- 10 shared among 2
- 8 shared among 4
- 15 shared among 5
- Is 4, 4, 5 equal sharing?
Level 2: Grow
- 18 shared among 2 = ___ each.
- 20 shared among 10 = ___ each.
- 6 shared among 2 = ___ each.
Level 3: Stretch
- 30 shared among 5. How many each?
- 13 sweets are shared among 4 children. How many each? How many left over?
- Kofi says 12 shared among 3 gives 9 because 12 − 3 = 9. What is wrong?
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
20 sweets are shared among 4 children. How many does each get?
Show a sample answer
5 sweets.
Another one. Share 20 oranges equally among 5 friends. How many does each friend get?
Show a sample answer
4
7. Common mistakes
Fix: Give one to each person at a time.
Fix: Share one at a time between all the people.
Fix: Count each share.
8. Lesson summary and revision card
- I can share objects equally.
- I can say how many each person gets.
- I can check that every share is the same.
- I can tell fair from unfair sharing.
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
- Share one at a time.
- Each gets the same.
- Check by adding.
11. Next lesson
Next lesson: Making equal groups. 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.
- 12 sweets are shared among 3 children. How many each? [2 marks]
- 20 books are shared among 4 children. How many each? [2 marks]
- Is 5, 5, 6 a fair share? Explain. [2 marks]
- 11 sweets shared among 2 children. How many each and how many left over? [2 marks]
- Check that 4 children getting 5 each uses 20 sweets. [2 marks]
Total: 10 marks.
Marking guide and model answers
- 12 shared among 3 [1]; 4 [1]
- 5 [2]. Give 1 mark for the method.
- No [1]. One share is different [1].
- 5 each [1]; 1 left over [1]
- 4 × 5 [1] = 20 [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
- 12 shared among 3
- 10 shared among 2
- 8 shared among 4
- 15 shared among 5
- Is 4, 4, 5 equal sharing? (yes/no)
- 10 shared among 2 = ___ each.
- 8 shared among 4 = ___ each.
- 15 shared among 5 = ___ each.
- 20 shared among 4 = ___ each.
- What does sharing equally mean?
Homework
Share 12 beans equally among 3 cups at home. Draw how many in each.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 12 shared among 3 | 4 | 2 |
| 10 shared among 2 | 5 | 2 |
| 8 shared among 4 | 2 | 2 |
| 15 shared among 5 | 3 | 2 |
| Is 4, 4, 5 equal sharing? (yes/no) | no | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 4; 2 5; 3 2; 4 3; 5 no.
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 5; 7 2; 8 3; 9 5; 10 Each gets the same.
Independent practice answers. Level 1: 1 4; 2 5; 3 2; 4 3; 5 no, one share has 5. Level 2: 1 9; 2 2; 3 3. Level 3: 1 6; 2 3 each, 1 left over; 3 Each child gets 4. 3 × 4 = 12..
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Share objects equally | 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 Say how many each person gets | 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 Check that every share is 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 fair sharing from unfair sharing | 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: Giving some people more. Give one to each person at a time.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Use cups and counters; give one counter to each cup at a time.
- 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 shares objects into equal shares. You do not need to be good at mathematics to help.
- Share snacks equally among the family.
- Ask: how many each? How do you know it is fair?
- Talk about leftovers.
- 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: share objects equally; say how many each person gets; check that every share is the same; tell fair sharing from unfair sharing.
Prerequisite knowledge. Unit 3: equal groups; Grade 1 sharing.
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 12 counters and 3 cups. 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 each? Is it fair? Are there any left over?
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. Giving some people more. Give one to each person at a time.
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 cups and counters; give one counter to each cup at a time. 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 2 » Operations & Algebraic Thinking; Grade 2 » Number & Operations in Base Ten. These pages list the standards that cover this topic area; read them alongside the lesson.
Research used to shape this lesson. Common Core 2.OA.C.3 and 3.OA.A.2 (division as sharing); Cambridge Primary Mathematics Stage 2. These sources informed the lesson.