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Grade 2 · Foundations · 6 minute lesson

Recognize three equal shares

Name one of three equal parts as a third.

Lesson 17 of 30 in Grade 2. Take the time you need; the lesson estimate is a guide.

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Grade 2 chapters and video availability

01 · Read and understand

What you will learn

  • Name one of three equal parts as a third.
  • Explain your method and check what the result means in the stated situation.

Before you start

Counting and comparing whole numbers, basic addition and subtraction, and recognizing simple shapes.

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 rectangular strip has 3 equal sections. One is shaded. What share is shaded?

Why this math matters

Mark a paper strip into three equal spaces to plan a fair three-person share. 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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Recognize three equal shares

Paused

Question: Start with the question. Paused.

Question

Start with the question

A rectangular strip has 3 equal sections. One is shaded. What share is shaded?

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

    Whole strip = 3 equal sections

    The same original strip defines all shares.

  2. Connect the parts

    Shaded sections = 1

    Count selected sections after checking equality.

  3. State and check the result

    One third is shaded

    Three such equal shares cover the whole.

The result

One third is shaded

Three such equal shares cover the whole.

Common mistakes to catch

  • Three pieces are thirds only when their sizes match.
  • The fraction refers to the original whole, not just the colored region.

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

Two of three equal sections are shaded. What share is shaded?

Show a hint

Count selected thirds.

Reveal answer and explanation

Two thirds

Two copies of one third cover two of the three sections.

Practice 2

A strip is cut into widths 1 cm, 2 cm, and 3 cm. Are these thirds?

Show a hint

Check whether the shares are equal.

Reveal answer and explanation

No

There are three pieces, but they have unequal areas when heights match.

Take the idea with you

Mark a paper strip into three equal spaces to plan a fair three-person share.

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.

Next lesson

Up next: More equal pieces means smaller pieces

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