Math With AmarA C A D E M Y

Grade 4 · Foundations · 8 minute lesson

Combine conversion and division

Convert before splitting a measured amount into equal pieces.

Lesson 28 of 30 in Grade 4. Take the time you need; the lesson estimate is a guide.

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01 · Read and understand

What you will learn

  • Convert before splitting a measured amount into equal pieces.
  • Explain your method and check what the result means in the stated situation.

Before you start

Multiplication and division facts, simple fractions, place value, and basic length and area measurement.

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 2 m ribbon is cut into pieces 25 cm long with no cutting loss. How many pieces?

Why this math matters

Plan equal measured portions while separating exact arithmetic from real process losses. The worked example shows how to connect the situation, its mathematical representation, and a check on the result.

Hands-on mathematics materials for exploring numbers, shapes, and measurement
Make a representation of your own.Sketch the quantities or relationships in this question before working through the solution. The cover image sets the learning scene; it does not show this problem’s exact values.

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.

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The complete worked example, one idea at a time.

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Combine conversion and division

Paused

Question: Start with the question. Paused.

Question

Start with the question

A 2 m ribbon is cut into pieces 25 cm long with no cutting loss. How many pieces?

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.

  1. Represent the situation

    2 m = 200 cm

    Match the ribbon unit to the piece unit.

  2. Connect the parts

    200 ÷ 25

    Find how many equal piece lengths fit.

  3. State and check the result

    8 pieces

    Eight 25 cm lengths reconstruct the full 200 cm ribbon.

The result

8 pieces

Eight 25 cm lengths reconstruct the full 200 cm ribbon.

Common mistakes to catch

  • Convert to common units before dividing.
  • State whether cutting or transfer losses are ignored.

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

A 3 L jug fills 250 mL cups. How many full cups?

Show a hint

Convert to three thousand millilitres.

Reveal answer and explanation

12

3,000 ÷ 250 = 12.

Practice 2

What assumption may fail when cutting real material into exact lengths?

Show a hint

Consider the width of a cut or damaged ends.

Reveal answer and explanation

No material loss

The classroom model ignores material removed by cutting, which may reduce the number of usable pieces.

Take the idea with you

Plan equal measured portions while separating exact arithmetic from real process losses.

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.

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Up next: Total fractional measurements from a plot

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