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Teaching video
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Grade 5 chapters and video availability01 · Read and understand
What you will learn
- Interpret whole-number division by a unit fraction.
- Explain your method and check what the result means in the stated situation.
Before you start
Multi-digit operations, equivalent fractions, decimal place value, and rectangular area.
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
How many 1/4 L servings are in 3 L?
Why this math matters
Choose a serving unit first, then count how many such units fit in a supply. 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.
Count fractional portions in a whole
PausedQuestion: Start with the question. Paused.
Question
Start with the question
How many 1/4 L servings are in 3 L?
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 L contains 4 quarter-litres
The serving size is smaller than a litre.
Connect the parts
3 groups of 4 servings
Each whole litre contributes four servings.
State and check the result
3 ÷ 1/4 = 12 servings
Dividing by a small unit can produce a larger count.
The result
3 ÷ 1/4 = 12 servings
Dividing by a small unit can produce a larger count.
Common mistakes to catch
- Division does not always make a number smaller.
- State whether the quotient counts portions or measures their size.
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 one-third-metre pieces fit in 2 m with no cutting loss?
Show a hint
Each metre contains three thirds.
Reveal answer and explanation
6
2 ÷ 1/3 = 2 × 3 = 6.
Practice 2
Is the answer to 4 ÷ 1/2 smaller than four?
Show a hint
Count two half-units inside each whole.
Reveal answer and explanation
No; it is 8
Division counts how many half-size portions fit.
Take the idea with you
Choose a serving unit first, then count how many such units fit in a supply.
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: A fraction also records division
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