Here are two chocolate bars, the very same size. Katie ate one half of the first bar. Seán ate two quarters of the second bar. Their friend says, "That's not fair, Katie got more!"
Is the friend right? Did one of them really get more chocolate than the other, or did they eat the very same amount?
Take three hands-up answers, not open call-outs. Don't settle the argument yet — the whole lesson is about proving the two amounts are equal. Give five seconds of quiet think-time before any hands go up.
The interactive shows fraction strips, each split into equal parts with some shaded. Watch where the shading ends on each strip and compare it to the one above. Where do the shaded ends stop?
Halves strip: one of two equal parts shaded, that is one half. Read it aloud together.
Quarters strip below: four equal parts, two shaded. Trace a finger along both shaded ends, they stop in the same place, so 1/2 = 2/4. This is the central idea today.
Name the word equivalent clearly, and keep using it.
Eighths strip: eight parts, four shaded. Ask first, will four eighths reach the same place as one half or go further? Pause before revealing.
Then show it lands in the same place: 1/2, 2/4 and 4/8 all cover the same length.
Now we try one match together on the board. The top strip already shows one half. The bottom strip is split into quarters, with nothing shaded yet. Our job is to shade the quarters strip so its shaded part covers the very same length as our one half, then check that the two shaded ends stop in exactly the same place.
This round is for talking one match through together — a few pupils take turns shading the quarters strip on the board and the class agrees or corrects out loud.
Keep the halves strip shaded to one half so pupils always have the amount to match against. As each pupil shades the quarters strip, ask the class does it stop in the same place as the half? before you accept it. Watch for pupils who count the segments right but stop one segment short or long — reset and count together from the left edge. Revoice a strong answer: so two quarters names the very same amount as one half. The eighths and tenths matches come next in the Class Challenge, so keep this beat to the single quarters match.
In your maths copy, draw two equal bars, one above the other. Shade one half on the top bar and two quarters on the bottom bar. Line up the ends of your shading, then write underneath:
Walk the room glancing at whether the two bars are the same length and whether the shaded ends line up — this is whole-class copybook practice, not marking. If a pupil's bars are different lengths, that is the thing to prompt on.
Today we work through these matches together, and each one gets a little trickier: first match one half with quarters, then one half with eighths, then one half with tenths, and finally match two quarters with eighths (this last one has no half on the board to help you). Check each answer before we move on.
These are the practice questions — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
The first three matches all lean on the halves strip, so they build confidence. The fourth is the key one: there is no half shown, so pupils must line up two quarters against four eighths directly and see they still match. Ask before that one: can two fractions be equal even when neither is a half?
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