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Teaching video
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Grade 3 chapters and video availability01 · Read and understand
What you will learn
- Use equal intervals to locate fractions between zero and one.
- 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
Divide the interval from 0 to 1 into four equal parts. Where is three fourths?
Why this math matters
Use number lines to compare fractions as positions, not just shaded pictures. 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.
Place fractions on a number line
PausedQuestion: Start with the question. Paused.
Question
Start with the question
Divide the interval from 0 to 1 into four equal parts. Where is three fourths?
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
Four equal intervals: size 1/4
The denominator names how the unit interval is partitioned.
Connect the parts
Move 3 intervals from 0
The numerator counts the equal steps.
State and check the result
3/4 lies one interval before 1
Four fourths reaches the whole; three fourths stops one short.
The result
3/4 lies one interval before 1
Four fourths reaches the whole; three fourths stops one short.
Common mistakes to catch
- All fractional intervals must have equal length.
- Count intervals from zero rather than counting zero as the first step.
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
Where is 2/3 on a unit interval divided into thirds?
Show a hint
Take two equal third-steps.
Reveal answer and explanation
At the second mark after zero
It is two of the three intervals from zero to one.
Practice 2
A line has 5 tick marks including 0 and 1. How many equal intervals?
Show a hint
Count gaps, not endpoints.
Reveal answer and explanation
4
Five boundary marks separate four spaces.
Take the idea with you
Use number lines to compare fractions as positions, not just shaded pictures.
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: Describe a fraction of a collection
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