You will learn
- Compare two groups.
- Say which has more or fewer.
- Find equal values.
- Find the total of each group.
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
Say how things are alike or different.
Equal.
A bigger number.
A smaller number.
1. Discover: two classes
Class A and Class B voted for a game. In football, A has 8 and B has 6. Which class has more votes?
2. Understand: comparing data
To compare two sets of data, line up the same choices.
| Game | Class A | Class B |
|---|---|---|
| Football | 8 | 6 |
| Ludo | 5 | 9 |
| Dance | 7 | 7 |
Ludo: B has more (9 > 5). Football: B has fewer (6 < 8). Dance: the same (7 and 7).
Total A = 8 + 5 + 7 = 20. Total B = 6 + 9 + 7 = 22.
3. Explore: two groups
You need paper and a pencil.
- Copy the table.
- Compare each row.
- Find each class total.
- Say which class is bigger.
Think about it: what did you notice?
A = 20; B = 22; B is bigger by 2.
4. Practise
Guided practice
Question 1. Ludo: which class has more?
Class B.
Question 2. Total of Class A?
8 + 5 + 7 = 20.
Question 3. Which game has the same in both?
Dance.
Independent practice
- Football: which class has fewer?
- Total of Class B
- How many more in B than A in total?
- Which game is the same?
- Difference in ludo
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
Class A has 20 children voting. Class B has 22. How many more in B?
Show a sample answer
2.
6. Common mistake
Fix: Compare the same choice in both.
7. Check and master
Answer all questions. You will see feedback after each one.
Your result appears here after you answer every question.
8. Key takeaways
- Compare the same choice.
- Find the totals.
- Equal means the same.
9. Next lesson
Next lesson: Answering questions using graphs. Keep going with the next idea in this course.
Printable worksheet
- Football: fewer in which class?
- Total of B
- More in B than A in total
- Which game is the same?
- Difference in ludo
Homework
Ask two groups of friends the same question. Compare their answers.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Football: fewer in which class? | B | 2 |
| Total of B | 22 | 2 |
| More in B than A in total | 2 | 2 |
| Which game is the same? | dance | 2 |
| Difference in ludo | 4 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 B; 2 22; 3 2; 4 dance; 5 4.
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 Compare two groups | 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 which 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 |
| O3 Find equal values | 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 the total of 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 |
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
- Find the misconception: Comparing different choices. Compare the same choice in both.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Compare one row at a time with counters.
- 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.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: compare two groups; say which has more or fewer; find equal values; find the total of each group.
Prerequisite knowledge. Lesson 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. 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 and a pencil. 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. Comparing different choices. Compare the same choice in both.
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. Compare one row at a time with counters. 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.