You will learn
- Move along a number line.
- Find distance between integers.
- Add using steps.
- Read points.
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
How far apart.
Add.
Subtract.
Greater minus lesser.
1. Discover: distance between
One point is at −3 and another at 4. How far apart are they?
2. Understand: integers on number lines
- From −3 to 0 is 3 steps; from 0 to 4 is 4 steps. Total 7.
- Distance = greater − lesser = 4 − (−3) = 7.
- Start at 2 and move left 5: 2 − 5 = −3.
- Start at −4 and move right 6: −4 + 6 = 2.
3. Explore: walk
You need a number line.
- Mark the start.
- Choose direction.
- Count the steps.
- Read the end point.
Think about it: what did you notice?
−3.
4. Practise
Guided practice
Question 1. Distance from −3 to 4?
7.
Question 2. 2 − 5?
−3.
Question 3. −4 + 6?
2.
Independent practice
- Distance −2 to 5
- Start 1, move left 4
- Start −3, move right 5
- Distance −6 to −2
- Distance 0 to −9
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
A lift at floor 2 goes down 5 floors. Which floor?
Show a sample answer
Floor −3.
6. Common mistake
Fix: Count both sides of 0: 7.
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
- Right adds, left subtracts.
- Distance is positive.
- Cross zero carefully.
9. Next lesson
Next lesson: Fraction equivalence. Keep going with the next idea in this course.
Printable worksheet
- Distance −2 to 5
- Start 1, move left 4
- Start −3, move right 5
- Distance −6 to −2
- Distance 0 to −9
Homework
Make a number line from −10 to 10 and mark five jumps.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Distance −2 to 5 | 7 | 2 |
| Start 1, move left 4 | −3 | 2 |
| Start −3, move right 5 | 2 | 2 |
| Distance −6 to −2 | 4 | 2 |
| Distance 0 to −9 | 9 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 7; 2 −3; 3 2; 4 4; 5 9.
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 Move along a number line | 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 Find distance between integers | 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 Add using steps | 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 Read points | 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: Counting from −3 to 4 as 1. Count both sides of 0: 7.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Number line to 10.
- 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: move along a number line; find distance between integers; add using steps; read points.
Prerequisite knowledge. Lessons 7–9.
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 a number line. 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. Counting from −3 to 4 as 1. Count both sides of 0: 7.
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. Number line to 10. 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.