You will learn
- Compare thousands first.
- Compare hundreds, tens and ones when needed.
- Use the signs and =.
- Explain how you know.
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
More than. Sign: >.
Fewer than. Sign: <.
The same. Sign: =.
Say how numbers differ.
1. Discover: two crowds
4,523 people came to the market on Saturday and 4,532 on Sunday. Which day had more?
2. Understand: comparing four-digit numbers
Compare place by place from the left: thousands, then hundreds, then tens, then ones.
4,523 and 4,532: the thousands (4) and hundreds (5) are equal. Tens: 2 < 3. So 4,523 < 4,532.
7,001 > 6,999 because 7 thousands is more than 6 thousands. 5,050 < 5,500 because 0 hundreds is less than 5 hundreds.
3. Explore: compare cards
You need number cards.
- Pick two numbers: 4,523 and 4,532.
- Compare thousands, hundreds, tens.
- Write the sign.
- Repeat with 7,001 and 6,999.
Think about it: what did you notice?
4,523 < 4,532; 7,001 > 6,999.
4. Practise
Guided practice
Question 1. 4,523 __ 4,532
<
Question 2. 7,001 __ 6,999
>
Question 3. 5,050 __ 5,500
<
Independent practice
- 3,215 __ 3,251
- 8,000 __ 7,999
- 5,050 __ 5,005
- 2,468 __ 2,468
- Greater: 6,789 or 6,798?
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
School A has 1,254 pupils and School B 1,245. Which has more?
Show a sample answer
School A (1,254 > 1,245).
6. Common mistake
Fix: Always start from the thousands.
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 from the left.
- Use <, > and =.
- Same digits, same value.
9. Next lesson
Next lesson: Ordering numbers. Keep going with the next idea in this course.
Printable worksheet
- 3,215 __ 3,251
- 8,000 __ 7,999
- 5,050 __ 5,005
- 2,468 __ 2,468
- Greater: 6,789 or 6,798?
Homework
Compare three pairs of prices from a shop. Write the sign each time.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 3,215 __ 3,251 | < | 2 |
| 8,000 __ 7,999 | > | 2 |
| 5,050 __ 5,005 | > | 2 |
| 2,468 __ 2,468 | = | 2 |
| Greater: 6,789 or 6,798? | 6,798 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 <; 2 >; 3 >; 4 =; 5 6,798.
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 thousands first | 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 Compare hundreds, tens and ones when needed | 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 Use the signs <, > and = | 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 Explain how you know | 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 the ones first. Always start from the thousands.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Line the digits up in a place value chart before comparing.
- 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 thousands first; compare hundreds, tens and ones when needed; use the signs <, > and =; explain how you know.
Prerequisite knowledge. Lessons 1 to 3.
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 number cards. 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 the ones first. Always start from the thousands.
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. Line the digits up in a place value chart before comparing. 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.