M2.4.6 For the adult

Same amount, different names

Is 2/4 more than 1/2, since the numbers are bigger?

What this chapter teaches

Different fractions can name the same amount: one half, two quarters and four eighths are equal. Cutting every part the same way changes both numbers and leaves the amount the same. A bigger number on the bottom does not mean more.

Three questions to ask

There is no one right wording. Listen for the idea.

  1. How could you show that one half and two quarters are the same amount?
  2. What happens to the top and bottom numbers when you cut every part in two?
  3. Why is two quarters not more than one half, even though 2 and 4 are bigger numbers?

After the chapter, the learner can

  • Show that two fractions name the same amount
  • Find a fraction equal to 1/2, 1/3 or 3/4
  • Explain why 2/4 is not more than 1/2

What they copy into their notebook

Different fractions can name the same amount. 1/2, 2/4 and 4/8 are equal. Cut every part in two. The top and the bottom both double. The amount stays the same.

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