Look at these three pizzas on the board. The first one is cut into 2 slices, and 1 slice is shaded. The second is cut into 4 slices, and 2 slices are shaded. The third is cut into 8 slices, and 4 slices are shaded.
Here is the question: do all three pizzas have the same amount shaded? Or is one of them a bigger amount than the others?
Show the three pre-shaded pizzas (½, 2/4, 4/8) and take three hands-up answers, not open call-outs. Don't confirm or deny yet — let the disagreement sit. The whole lesson lands when pupils see the shaded amounts are identical.
Three pizzas line up on the interactive, each labelled with a fraction and its equal partners. Notice the shaded amount on each pizza. What is happening to the top and bottom numbers each time?
1/2 = 2/4 = 4/8: same shaded amount, slices just cut smaller. Ask what we did to 1 to get 2, and 2 to get 4. Draw out: multiply top and bottom by the SAME number.
1/3 = 2/6 = 4/12: one of three matches two of six matches four of twelve. Same rule, name the multiplier.
3/4 = 6/8 = 9/12: top goes 3, 6, 9; bottom goes 4, 8, 12, stepping together. Multipliers from the start are x2 and x3; the number we times by is the multiplier.
Key idea pupils must say back: multiply top and bottom by the same number to keep the same amount. Pause after each one for a class answer before moving on.
Today we'll explore equivalent fractions with the pizza tool on the board. Let's start with 1/5 shaded. We want to show the very same amount with more slices. If we cut the pizza into 10 instead of 5, how many slices do we shade to match? Call it out, then a pupil will come up and build it to check.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Start with the 1/5 already shaded and ask the class to find 2/10. Let a pupil come up and slice the pizza into 10 and shade until it matches. Then try 2/3 (find 4/6) and 1/4 (find 3/12). Revoice each: 'we multiplied top and bottom by the same number, so the amount stayed the same.' Watch for the slip where a pupil multiplies only the bottom.
In your maths copy, write each of today's fractions as a row of equivalents. Write each chain out like this, one row under the other:
Then underline the simplest form on each row — that is the version with the smallest numbers.
Walk the room glancing at the chains and the underlining — this is whole-class copybook practice, not marking. The simplest form is the leftmost fraction on each row; check pupils underline it rather than the last one.
Today we match equivalent fractions. The board names a fraction, and we shade a different number of slices on the pizza on the board to show the very same amount. Each round, the whole class calls out the multiplier together first, then one pupil comes up to build it.
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 targets escalate from 2/4 (easy half) up to 9/12 (the trickiest). For each, have the whole class call out the multiplier first (this is a single spoken class call, not an individual task), then a pupil builds and presses Check. If the Check shows 'not yet', ask the class which part of the chain wobbled.
One pupil says: "If I multiply just the top of a fraction by 2, I still get the same amount." Another says: "No — you have to multiply the top AND the bottom by 2." Who is right, and how would you settle it with one of today's pizzas?
Listen for pupils reaching for a pizza to test the claim — that is exactly the reasoning move you want. Revoice: 'so multiplying only the top adds shaded slices without adding slices to cut into, which makes a bigger amount, not the same one.' Head off the common error that only the bottom needs doubling.
Next we will work the other way: starting from a fraction like 4/8 and dividing top and bottom down to its simplest form.
Recap by asking one pupil to state the rule in their own words. The next lesson on simplifying fractions is the reverse of today, so flag that the same 'same number, top and bottom' idea will run backward.
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