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Mathematics: a garden of numbers · Lesson 04 / 06

Parts of the same whole

Lia wants to reserve part of the garden for flowers. To talk about a half or a quarter, we must agree on the whole.

Learning paths6 min

Let's discover together

  1. 1

    A fraction can represent equal parts of a whole. In 1/4, the 4 indicates four equal parts; the 1 indicates one of those parts.

  2. 2

    If the parts have different sizes, coloring one of four parts does not guarantee you colored a quarter of the area.

  3. 3

    In the same whole, two of four equal parts make a half: 2/4 = 1/2. A half covers more area than a quarter of that same whole.

Two same-sized beds, each with four parts of equal area. Above, one part is marked; below, two parts are marked.
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YOUR MISSION

Identify a quarter and a half using equal parts of the same whole.

Now it's your turn

Discovery workshop

Parts of the same whole

A rectangular bed was divided into 4 strips of equal area. One strip has flowers. Later, Lia colors two of the four strips in a drawing of the same bed.
Build your answers and check when you are ready.
A moment to understand

To compare a half and a quarter this way, what must stay the same?

I need a hint

Half of a small garden need not exceed a quarter of a very large garden.

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Take it with you

Draw two same-sized rectangles. Divide one into two equal parts and the other into four; color half of each and compare.

At your own pace

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