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
- Translate picture symbols into counts using a stated key.
- 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 library chart uses one book symbol for 2 borrowed books. A row shows 5 symbols. How many books?
Why this math matters
Choose a picture key that keeps a larger data chart compact and readable. 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.
Use a picture key worth two
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A library chart uses one book symbol for 2 borrowed books. A row shows 5 symbols. How many books?
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
1 symbol = 2 books
The key defines the meaning of a picture.
Connect the parts
2 + 2 + 2 + 2 + 2
Use two for each of the five symbols.
State and check the result
10 books
There are five drawings but ten represented books.
The result
10 books
There are five drawings but ten represented books.
Common mistakes to catch
- Do not assume each picture stands for one object.
- Only use partial symbols if their meaning is explained.
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
How many symbols show 8 books with the same key?
Show a hint
Group eight books into pairs.
Reveal answer and explanation
4 symbols
Four groups of two represent eight.
Practice 2
What does half a symbol mean if half symbols are allowed?
Show a hint
Take half of the key value.
Reveal answer and explanation
1 book
Half of two books is one book.
Take the idea with you
Choose a picture key that keeps a larger data chart compact and readable.
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: Measure all the way around
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