Here are 12 counters on the board. If four children in a family share them out completely fairly, so nobody gets more than anybody else, how many counters will each child end up with?
Have a think before any hands go up.
Give five seconds of quiet think-time before any hands go up, then take three hands-up answers, not open call-outs.
Steer the talk from sharing fairly toward the fraction language you will use all lesson: sharing 12 between 4 equal groups is the same as finding one quarter of 12. Say it out loud once — sharing fairly into four is finding a quarter — but don't formalise it yet; that lands in Watch and Notice.
The interactive shares out counters to find a fraction of a number. Each time, watch two things: how many equal groups we make, and how many counters land in one group.
One half of 8: bottom number 2 means 2 groups. Each group holds 4, so half of 8 is 4. Point to the two groups, read one group as the answer.
One quarter of 8: same 8 counters, now 4 groups. Pause on the prediction before counters settle, take one hands-up guess, more or fewer than 4. Each group holds 2, so quarter of 8 is 2. Draw out the key idea: same 8, more groups, smaller answer.
One third of 9: 3 groups, each holds 3, so third of 9 is 3.
Tie it together: the bottom number always tells us how many groups to make.
Today we work through these fractions of quantities together on the board: one half of 6, then one third of 6, then one quarter of 12. Each time we ask the same two questions — how many equal groups, and how many in one group? For the last one, the total on the board grows from 6 up to 12 before we share it.
This round is for talking it through together — invite a different pupil to the board for each fraction so several pupils get a turn, and the class agrees or corrects out loud.
Call a fraction of a quantity, an individual pupil sets the dividend and the group count so the counters deal into equal groups, then reads how many are in one group. The class confirms or corrects by maths-talk. The explore interactive lets the pupil change the total on the board, so for the third example remind them to reset the total to 12 before dealing.
Keep asking how did the bottom number decide the number of groups? so the rule stays front and centre.
In your maths copy, find one half of 10 and one quarter of 8 by drawing the equal groups. Then write each answer as a number sentence.
For one half, draw 2 groups and share the 10 fairly. For one quarter, draw 4 groups and share the 8. Count what lands in one group, then fill in your number sentence.
Walk the room glancing for equal groups and a completed number sentence — this is whole-class copybook practice, not marking. Watch for pupils who draw the right number of groups but then read the whole total instead of one group.
Finding a fraction of a set means sharing into equal groups. The bottom number of the fraction is how many equal groups to make, then you take one group. Watch one half of 6 on the tray, then we work through the rest together: one quarter of 8, one third of 9, and one half of 14. Each one shares fairly with none left over.
These are the practice questions — invite a different pupil to the board for each challenge, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
For each challenge the pupil sets the group count from the fraction, deals the counters, reads one group and presses Check. Add the callout a quarter makes more groups than a half, so the answer is smaller when the class reaches the quarter of 8. The half of 14 is the stretch — a bigger total that still shares cleanly into two.
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