Chapter 2: Fractions, decimals and percentages
Fractions, decimals and percentages are three notations for the same quantities.
Part of your national curriculum
- Number: Work interchangeably with terminating decimals and their corresponding fractions, and define percentage as 'number of parts per hundred'
Lesson overview
What you'll learn in this lesson
Work interchangeably with terminating decimals and their corresponding fractions, and define percentage as 'number of parts per hundred'
Key learning points
- • Equivalent forms
- • Percentage of an amount
- • Choose an efficient form
This lesson at a glance
- 30 minutes
- 17 parts to scroll through
- 3 quick checks
- Marked quiz at the end
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 17
Visual introductionPicture this
Chapter 2: Fractions, decimals and percentages
Fractions, decimals and percentages are three notations for the same quantities.
In a nutshell
Work interchangeably with terminating decimals and their corresponding fractions, and define percentage as 'number of parts per hundred'
Learning cycle
Part 2 of 17
Learning cycle 1 of 2
Part 1 · Equivalent forms
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 3 of 17
Learn
Equivalent forms
Divide numerator by denominator to make a decimal. Multiply a decimal by 100 to make a percentage. Thus 3/8 = 0.375 = 37.5%.
Reset break
Part 4 of 17
Pause
That's sitting 1 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Explore the idea
Part 5 of 17
Learn
Percentage of an amount
Find 15% of £80 by using 10% (£8) plus 5% (£4), giving £12. A multiplier gives the same result: 0.15 × 80.
Quick check
Part 6 of 17
Quick check
Part 7 of 17
Reset break
Part 8 of 17
Pause
That's sitting 2 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Learning cycle
Part 9 of 17
Learning cycle 2 of 2
Part 2 · Choose an efficient form
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 10 of 17
Learn
Choose an efficient form
Fractions preserve exact values, decimals suit calculation and percentages make relative comparisons easy. Switch form without changing the value.
Quick check
Part 11 of 17
Reset break
Part 12 of 17
Pause
That's sitting 3 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Challenge round
Part 13 of 17
Game · Sort it
Which of these are true?
Drag each card into the right column. Tap a card first if dragging is fiddly.
True
Not true
Challenge round
Part 14 of 17
Game · Fill the gaps
Finish the sentences
Choose the word that belongs in each gap.
Fractions preserve exact values, ____ suit calculation and percentages make relative comparisons easy.
Challenge round
Part 15 of 17
Game · Recall cards
Increase 240 by 15%.
Card 1 of 4
Mastery quiz
Part 16 of 17
Marked quiz
End of lesson quiz: Chapter 2: Fractions, decimals and percentages
4 questions, marked with the reasoning shown. No timer.
1. Increase 240 by 15%.
2. A count drops from 200 to 150. The percentage decrease is…
3. Which multiplier applies a 7% decrease?
4. Write 3/8 as a percentage.
Lesson round-up
Part 17 of 17
Lesson round-up
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Ask LunaPart 1 of 17 · Watch & discover
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Work interchangeably with terminating decimals and their corresponding fractions, and define percentage as 'number of parts per hundred'