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
- Count equal square tiles covering a rectangular region.
- 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 paper rectangle is covered by 3 rows of 5 equal squares, with no gaps or overlaps. How many squares cover it?
Why this math matters
Estimate how many square sticky notes cover a poster by arranging equal rows. 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.
Cover a rectangle without gaps
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A paper rectangle is covered by 3 rows of 5 equal squares, with no gaps or overlaps. How many squares cover 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
Each row has 5 squares
The square is the unit of covering.
Connect the parts
5 + 5 + 5 = 15
Add all three rows.
State and check the result
Area = 15 square units
Area measures the covered inside, not its edge.
The result
Area = 15 square units
Area measures the covered inside, not its edge.
Common mistakes to catch
- Use equal-size square units for comparison.
- Gaps leave area unmeasured and overlaps double-count area.
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 shape is covered by 8 unit squares. What area?
Show a hint
Count the nonoverlapping covering units.
Reveal answer and explanation
8 square units
Eight equal unit squares cover the region.
Practice 2
Why cannot overlapping tiles be counted as a correct covering?
Show a hint
Some area would be counted twice.
Reveal answer and explanation
Overlap repeats part of the region
A unit-area count must cover each part once.
Take the idea with you
Estimate how many square sticky notes cover a poster by arranging equal rows.
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: Describe a growing number pattern
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