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Teaching video
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Grade 6 chapters and video availability01 · Read and understand
What you will learn
- Convert a percent to a multiplier and apply it to a specified whole.
- Explain your method and check what the result means in the stated situation.
Before you start
Fraction and decimal operations, whole-number factors, measurement units, and reading simple tables.
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
Thirty-five percent of 80 survey responses chose drawing. How many responses is that?
Why this math matters
Convert a percentage statement into a concrete count when the whole is known. 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.
Find a percentage of a quantity
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Thirty-five percent of 80 survey responses chose drawing. How many responses is that?
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
35% = 35/100 = 0.35
Percent names a fraction of the whole.
Connect the parts
0.35 × 80
The whole is eighty responses, not one hundred actual responses.
State and check the result
28 responses
Check with 30% of 80 = 24 and 5% = 4; together they give 28.
The result
28 responses
Check with 30% of 80 = 24 and 5% = 4; together they give 28.
Common mistakes to catch
- Identify the reference whole before multiplying.
- A fixed percentage does not imply a fixed absolute count.
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
Find 12% of 150.
Show a hint
Multiply 150 by twelve hundredths.
Reveal answer and explanation
18
0.12 × 150 = 18.
Practice 2
Why is 35% of 40 half of 35% of 80?
Show a hint
The percentage multiplier stays the same.
Reveal answer and explanation
The reference whole is halved
0.35 × 40 = 14, half of twenty-eight.
Take the idea with you
Convert a percentage statement into a concrete count when the whole is known.
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: Recover a whole from a percentage part
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