Here is a pizza cut into eight equal slices, but three of them have already been eaten. Hands up: what fraction of the pizza is gone, and what fraction is still on the plate?
Display the pizza image as pupils settle. Take three hands-up answers, not open call-outs. Don't confirm the answer yet — let the lesson build it. Listen for whether pupils say 'three out of eight' or jump straight to 'three-eighths'.
Watch the pizza-slicer. The whole pizza is cut into two equal parts and one part is shaded. That is one out of two equal parts. We call that one half, and we write it as 1/2. The bottom number, 2, tells us how many equal parts there are; the top number, 1, tells us how many are shaded.
Now the same pizza is cut into four equal parts and three are shaded. Three out of four equal parts is three-quarters, which we write as 3/4.
This is the pizza from our starting question. It is cut into eight equal parts and five are still here. Five out of eight equal parts is five-eighths, written 5/8.
Here the whole is cut into twelve equal parts and seven are shaded. That is seven out of twelve equal parts, seven-twelfths, written 7/12. Look how the slices got thinner as the bottom number got bigger.
Reveal each example one at a time on the board so pupils are not reading ahead through all four paragraphs at once. Walk each example aloud, pointing at the screen, and name it in words before you write the symbol.
Keep saying 'equal parts' every time — pupils who slip into 'three out of eight' with unequal parts are the ones to watch in the practice steps.
Now we try it together. I will call out a fraction, and one pupil will come to the board to slice the pizza into the right number of equal parts and shade the right number of them. While they work, the rest of us read the fraction back out loud together to check it is right.
This round is for talking it through together — pupils take turns at the board and the whole class reads the fraction back to agree or correct it out loud.
The explore-mode slicer lets the pupil reset the number of slices to match whatever fraction you call, so it adapts to 1/3, 2/5, 3/6 and 4/8. It is seeded at 3 slices to start (a working state, ready for the first call of 1/3). Call fractions that vary the denominator: try 1/3, 2/5, 3/6, 4/8. For each one, ask the class first 'how many equal parts should the pizza be cut into?' (the bottom number) before the pupil resets the slices. Then 'how many do we shade?' (the top number). Revoice a strong answer: so the bottom number sets the slices, the top number sets how many we colour.
Watch for pupils who shade the right count but on unequal-looking slices — the slicer keeps them equal, so point out the screen does the fair-sharing for us.
Take one of the printed circle templates. Each circle is already a round whole, so you only need to divide it into equal slices and shade. Divide each circle into the right number of equal slices, shade the right number, and write the fraction underneath. Sketch these three:
Hand out the pre-printed circle templates first (one per pupil) so pupils divide and shade rather than draw circles from scratch — freehand circles produce the uneven parts we are trying to correct. Then walk the room and glance for two things: equal-sized slices and the fraction labelled underneath. No marking — this is whole-class copybook practice, not assessment. If a pupil's slices are wildly uneven, prompt 'are those parts fair?' and move on.
Now we fold and shade real fractions. Take a paper strip and fold it into halves, then quarters, then eighths. Each time you fold, shade and label the fraction your teacher calls. The fold lines show you the equal parts.
Run the seat-folding as the lead activity first, then use the board to confirm each step. Hand out the fraction_strips printable (or plain paper strips). Run it as a folding sequence at the seats:
After each fold, a pupil makes the called fraction on the board using the pizza-slicer in challenge mode and presses Check; the class confirms. Watching the board IS the participation for pupils waiting their turn. Keep the board work brisk rather than over-explaining.
On the board we watched 1/2, then 3/4, then 5/8, then 7/12. Why is the bottom number the size of the parts? What happened to each slice as the bottom number got bigger?
This talk looks back at the four pizzas we watched on screen in Watch and Notice. Listen for pupils naming that a bigger bottom number means more parts, so each part is smaller. Revoice a strong answer: so cutting the same pizza into more pieces makes every piece smaller, even though we have more of them. Head off the common slip that 'bigger bottom number means bigger fraction' — point back at the 7/12 slices being thinner than the 1/2 slice on the screen.
Next time we look at equivalent fractions: the same amount of pizza written with a different number of slices. We will find out why 1/2, 2/4 and 4/8 are all the same chunk.
Keep this brief. The forward link to equivalent fractions sets up the next lesson without teaching it now.
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