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
- Name the selected part of a finite set.
- 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 basket contains 8 balls: 3 red and 5 blue. What fraction are red?
Why this math matters
Describe the proportion of items with a property using selected count over total count. 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.
Describe a fraction of a collection
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A basket contains 8 balls: 3 red and 5 blue. What fraction are red?
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
Whole set: 8 balls
Every ball belongs to the basket's whole collection.
Connect the parts
Selected set: 3 red balls
The numerator counts the selected members.
State and check the result
3/8 of the balls are red
The denominator is the total count, not the blue count.
The result
3/8 of the balls are red
The denominator is the total count, not the blue count.
Common mistakes to catch
- Do not put only the unselected count in the denominator.
- Define the whole collection before naming its fraction.
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
Four of ten buttons are green. What fraction is green?
Show a hint
Selected over total.
Reveal answer and explanation
4/10
Four selected members belong to a set of ten.
Practice 2
In the main basket, what fraction is not red?
Show a hint
Count the five blue balls.
Reveal answer and explanation
5/8
Three eighths plus five eighths makes all eight eighths.
Take the idea with you
Describe the proportion of items with a property using selected count over total count.
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: Rename halves as fourths
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