Learn with Amar
Teaching video
A teaching recording for this chapter has not been published yet. Start with the worked example below and explore the related animations where available.
Grade 2 chapters and video availability01 · Read and understand
What you will learn
- Use interval differences when measuring with a ruler.
- Explain your method and check what the result means in the stated situation.
Before you start
Counting and comparing whole numbers, basic addition and subtraction, and recognizing simple shapes.
Keep paper nearby. Read the question once for the context, then again to identify what is known and what you need to find.
Start with a question
A pencil starts at the 2 cm mark and ends at the 11 cm mark. How long is it?
Why this math matters
Measure accurately even when an object's starting edge does not line up with zero. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.

Set up the model
A useful answer starts with clear assumptions:
- Use the units, grouping rules, and reference whole stated in the question.
- Treat the supplied counts and measurements as exact within the classroom model, unless an estimate or a random outcome is requested.
02 · Work through the example
Follow the reasoning, one step at a time.
Try to predict the next step before reading it. After each calculation, explain why the operation makes sense and how it helps answer the original question.

Work through it with Amar
See this example unfold.
The complete worked example, one idea at a time.
Measure from a ruler's zero mark
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A pencil starts at the 2 cm mark and ends at the 11 cm mark. How long is it?
Before you calculate
Read what is known and what you need to find. Make a prediction before moving to the first calculation.
Starts paused. Play advances through the full text at a reading pace; pause whenever you need more time. Previous, Next, and the phase buttons let you set your own pace. Playback pauses when this walkthrough leaves the screen or you switch tabs.
Your device’s reduced-motion setting keeps each phase still. Manual controls remain available. The full written solution stays below.
Represent the situation
Start = 2 cm; end = 11 cm
The end label alone includes unused ruler length.
Connect the parts
11 − 2 = 9
Subtract positions to count the intervals covered.
State and check the result
Length = 9 cm
Moving the pencil to zero would put its other end at nine.
The result
Length = 9 cm
Moving the pencil to zero would put its other end at nine.
Common mistakes to catch
- Do not assume the physical ruler edge is its zero mark.
- Count gaps between marks rather than all visible marks.
03 · Practice independently
Try it before revealing the answer.
Use paper or a calculator as needed. Write your units and reasoning, then open the hint or explanation to check your approach.
Practice 1
A ribbon begins at 0 cm and ends at 8 cm. Its length?
Show a hint
Subtract the starting mark.
Reveal answer and explanation
8 cm
8 − 0 = 8.
Practice 2
A crayon spans marks 5 cm to 12 cm. Is it 12 cm long?
Show a hint
Only the covered interval counts.
Reveal answer and explanation
No; 7 cm
12 − 5 = 7 cm.
Take the idea with you
Measure accurately even when an object's starting edge does not line up with zero.
04 · Reflect and continue
Can you explain it in your own words?
Before moving on, explain the main idea without looking at the worked example. Try both practice questions, check your reasoning, and name one mistake you now know how to avoid. Return to a step if you still need support.
Up next: Choose centimetres or metres
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