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
- Explain equivalent fractions through finer equal partitions.
- 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 strip has one of two equal halves shaded. Split each half into two. What fraction is shaded now?
Why this math matters
Match different fraction labels to the same shaded or measured amount. 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.
Rename halves as fourths
PausedQuestion: Start with the question. Paused.
Question
Start with the question
A strip has one of two equal halves shaded. Split each half into two. What fraction is shaded now?
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
Original shading = 1/2
One of two equal parts is selected.
Connect the parts
Each half becomes 2 fourths
Both shaded and unshaded parts are divided equally.
State and check the result
1/2 = 2/4
The names change, but the shaded region does not.
The result
1/2 = 2/4
The names change, but the shaded region does not.
Common mistakes to catch
- Changing only one fraction part changes its value.
- Use equal subdivisions across the entire whole.
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
Split each third into two equal pieces. Rename 2/3.
Show a hint
Double both selected and total pieces.
Reveal answer and explanation
4/6
Two shaded thirds become four shaded sixths.
Practice 2
Why is 1/2 not equal to 1/4?
Show a hint
Only the denominator was doubled.
Reveal answer and explanation
One fourth is a smaller region
Equivalent renaming multiplies numerator and denominator by the same nonzero factor.
Take the idea with you
Match different fraction labels to the same shaded or measured amount.
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: Compare fractions with equal-size pieces
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