Here are two ways of writing the same amount: 1/2 and 0.5. Where have you seen these written as the same thing before? Think about a battery at half charge, or half a pizza, or a half-price sale.
Hands up: is 1/2 bigger than 0.5, smaller than 0.5, or exactly the same?
Give five seconds of quiet think-time before any hands go up. Take two or three hands, then confirm they are the same amount written two ways. Do not explain the method yet — that is the next step.
Each battery shows the same amount three ways at once: a fraction, a decimal and a percentage. Watch how dividing the top of the fraction by the bottom gives the decimal every time.
Say divide top by bottom every time, pointing at the fraction line.
1/2: the line means divide. 1 ÷ 2 = 0.5, 50%, battery half full.
1/4: let them predict 1 ÷ 4 before revealing. Then walk the on-screen division: 1 whole becomes 10 tenths, share among 4 gives 2 tenths each with 2 left; carry those 2 tenths on as 20 hundredths, share to get 5 hundredths each, nothing left, so 0.25, 25%. First time they see a small top over a bigger bottom actually make the decimal.
3/4: head off reading 3/4 as 0.34 or 0.4. 3 ÷ 4 = 0.75, 75%, battery agrees.
2/5: 2 ÷ 5 = 0.4, 40%. Note aloud that every decimal so far stops after one or two places, ready for the recurring surprise later.
Today we work through these fraction twins together on the battery: 1/8, then 3/8, then 1/5, and finally 1/3. For each one we divide the top by the bottom to work out the decimal, then set the battery to check. The last one, 1/3, has a surprise waiting.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Set the battery to each fraction in the order named. Ask a pupil to say the division sentence before you set it: 1/8 means 1 ÷ 8. Confirm 1/8 = 0.125, 3/8 = 0.375, 1/5 = 0.2. Note that the battery reads in whole per cents, so eighths land between two whole marks: 1/8 is 12.5% (halfway between 12 and 13) and 3/8 is 37.5% (halfway between 37 and 38). When you reach 1/3, ask the class to predict the decimal. The battery can only show roughly 33%, so it will not print 0.333… itself — name the recurring decimal aloud and, if you can, show one or two steps of 1 ÷ 3 by long division on the board so the class sees the leftover of 1 repeat. Do not resolve the 'why' here; that is the maths-talk beat.
In your maths copy, write each fraction-decimal pair as a row, then add the per cent in a third column. Use the pairs we have met today:
Mark with a star any row whose decimal is recurring (one that keeps going forever).
Walk the room glancing at the third column and the star — this is whole-class copybook practice, not marking. Watch for pupils writing 0.34 instead of 0.75 for three quarters, and for the 1/3 row being written as 0.3 rather than 0.333… with a star.
Today we match these twins on the board: given one form, set the battery to find the matching decimal. We work through 1/2, then 1/4, then 3/4, then 1/10, then 2/5, and finally the stretch 1/8.
The halves and quarters are the friendly ones. Tenths are new. The last one, 1/8, is the stretch item and takes three decimal places, so divide carefully and set the battery to match.
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.
Have a pupil say the division sentence before setting the slider. The battery reads in per cents. For the 1/8 stretch, 0.125 is 12.5%, so the correct mark sits halfway between 12 and 13 per cent — remind pupils that half a per cent is fine and the Check will accept it.
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