Year 4 · Fractions and decimals
Equivalent fractions, tenths and hundredths
Recognise and show, using diagrams, families of common equivalent fractions
Lesson overview
What you'll learn in this lesson
Recognise and show, using diagrams, families of common equivalent fractions
Key learning points
- • Splitting the parts again
- • Fraction families
- • Tenths and hundredths
- • Where you meet them
This lesson at a glance
- 20 minutes
- 19 parts to scroll through
- 4 quick checks
- No marked quiz yet
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 19
Watch first
Equivalent fractions, tenths and hundredths
See how a fraction and a decimal can be exactly the same amount.
Do it for real
The practicals below use what the film shows, with a full method you can follow at home.
In a nutshell
Recognise and show, using diagrams, families of common equivalent fractions
What you already know
Part 2 of 19
Before we start
What you already know
You can find halves, quarters and thirds of shapes and amounts.
Key words
Part 3 of 19
Key words
Words you'll need today
- numerator
- The top number — how many parts you have.
- denominator
- The bottom number — how many equal parts in the whole.
- equivalent
- Different-looking but worth the same.
Learning cycle
Part 4 of 19
Learning cycle 1 of 2
Part 1 — Same amount, different name
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 5 of 19
Learn
Splitting the parts again
Draw a bar and shade one half. Now cut every part in two: the same shading is 2 quarters. Cut again: 4 eighths. Nothing moved, so 1/2 = 2/4 = 4/8. Whatever you multiply the bottom by, do the same to the top.
Explore the idea
Part 6 of 19
Learn
Fraction families
Useful families to know: 1/2 = 2/4 = 5/10 = 50/100; 1/4 = 2/8 = 25/100; 1/5 = 2/10 = 20/100; 3/4 = 6/8 = 75/100. These come up constantly in money, measuring and percentages later on.
Quick check
Part 7 of 19
Quick check
Which is equivalent to 1/2?
Quick check
Part 8 of 19
Quick check
3/4 = ?/8
Reset break
Part 9 of 19
Pause
That's sitting 1 of 2 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 10 of 19
Learning cycle 2 of 2
Part 2 — Into decimals
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 11 of 19
Learn
Tenths and hundredths
One whole split into 10 gives tenths, written 0.1. Split into 100 gives hundredths, written 0.01. So 7/10 = 0.7 and 43/100 = 0.43. The first place after the decimal point is tenths; the second is hundredths.
Explore the idea
Part 12 of 19
Learn
Where you meet them
£0.25 is 25 hundredths of a pound, which is 1/4 of a pound. A 1.5 litre bottle is one and five tenths of a litre. Reading decimals as fractions makes them easier to picture than treating them as strange new numbers.
Quick check
Part 13 of 19
Quick check
Write 9/10 as a decimal.
Quick check
Part 14 of 19
Quick check
0.35 means...
Common mix-ups
Part 15 of 19
Common mix-ups
Things people often get wrong
- Changing the top of a fraction without changing the bottom.
- Thinking 1/8 is bigger than 1/4 because 8 is bigger than 4.
- Reading 0.7 as 'nought point seven hundredths'.
Challenge round
Part 16 of 19
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 17 of 19
Game · Fill the gaps
Finish the sentences
Choose the word that belongs in each gap.
Useful ____ to know: 1/2 = 2/4 = 5/10 = 50/100; 1/4 = 2/8 = 25/100; 1/5 = 2/10 = 20/100; 3/4 = 6/8 = 75/100.
Reading decimals as ____ makes them easier to picture than treating them as strange new numbers.
Mastery quiz
Part 18 of 19
No quiz for this one
This lesson has no marked quiz attached yet.
Lesson round-up
Part 19 of 19
Lesson round-up
Ready when you are
Quiz score
Not sat
Games
Not played
Points this lesson
0
Best run
0 in a row
Luna: 0 out of 4 on the practice checks. Only if you feel up to it — one more?
Ask LunaDo the work
Your written work for this lesson
This is the part you'd do in your book at school. Pick the pieces below, write here or on paper, and photograph anything you draw or work out.
The cost of a school trip
A school is planning a trip to a wildlife park. The coach costs £480 however many people go. Entry costs £9.50 for each pupil and each adult goes free. The school says every pupil must pay the same amount, and the trip must not lose money.
If 60 pupils go, the coach works out at £8 each, so the total for each pupil is £17.50. If only 40 pupils go, the coach works out at £12 each, so the price rises to £21.50. The teacher explains that the coach is a fixed cost and the entry is a cost per person — which is why the price per pupil changes when the number changes.
The school decides to charge £20 and to use anything left over for a second trip later in the year.
Written for Good Learning Co.
Reading questions
- Work out the total cost of the trip if 50 pupils go.
- Show why the price per pupil falls when more pupils go, using numbers.
- At £20 each, how many pupils must go before the trip makes money? Show your working.
Working out
Working outDo the practice questions on paper, showing every step — not just the answer. Mark them yourself and circle anything you got wrong.
10–15 questions
Worked example, explained
WritingCopy one question out and write underneath, in words, why each step works.
1 question, 4–5 sentences
Problem in words
Working outWrite your own real-life problem that uses today's method, then solve it.
1 problem + solution
Saved as you type.
Part 1 of 19 · Watch & discover