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 3 chapters and video availability01 · Read and understand
What you will learn
- Find differences and totals from a graph using a four-unit scale.
- Explain your method and check what the result means in the stated situation.
Before you start
Place value through hundreds, addition and subtraction, equal groups, and equal shares.
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 chart uses four votes per grid interval. A red bar spans 5 intervals and a blue bar 3. How many more red votes?
Why this math matters
Read chart keys carefully before reporting numerical differences. 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.
Reason with a larger graph scale
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A chart uses four votes per grid interval. A red bar spans 5 intervals and a blue bar 3. How many more red votes?
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
Red: 5 × 4 = 20 votes
Convert grid intervals using the scale.
Connect the parts
Blue: 3 × 4 = 12 votes
Use the same scale for both bars.
State and check the result
20 − 12 = 8 more red votes
The two-interval gap represents eight votes.
The result
20 − 12 = 8 more red votes
The two-interval gap represents eight votes.
Common mistakes to catch
- A gap of two grid spaces need not mean two votes.
- Both bars need the same scale for direct visual comparison.
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
What total do those two bars represent?
Show a hint
Add the two converted counts.
Reveal answer and explanation
32 votes
20 + 12 = 32.
Practice 2
A third bar represents 16 votes. How many grid intervals?
Show a hint
Divide by four per interval.
Reveal answer and explanation
4
16 ÷ 4 = 4 intervals.
Take the idea with you
Read chart keys carefully before reporting numerical differences.
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: List every simple combination
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