Sorting and searching
Choosing the right algorithm can be the difference between a million steps and twenty.
Part of your national curriculum
- Algorithms and programming: Understand several key algorithms, including those for sorting and searching, and use logical reasoning to compare their utility
Lesson overview
What you'll learn in this lesson
Understand several key algorithms, including those for sorting and searching, and use logical reasoning to compare their utility
Key learning points
- • Linear versus binary search
- • Bubble sort
- • Comparing utility
This lesson at a glance
- 28 minutes
- 14 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 14
Watch first
Sorting and searching
An English teaching video on this topic from LearnFree. Watch it, then scroll down for the lesson.
In a nutshell
Understand several key algorithms, including those for sorting and searching, and use logical reasoning to compare their utility
Learning cycle
Part 2 of 14
Learning cycle 1 of 2
Part 1 · Linear versus binary search
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 3 of 14
Learn
Linear versus binary search
Linear search checks each item in turn and works on any list. Binary search repeatedly halves a sorted list, so a million items takes about twenty checks instead of a million.
Explore the idea
Part 4 of 14
Learn
Bubble sort
Compare neighbouring pairs and swap them if they are the wrong way round, repeating until a full pass makes no swaps. Simple to write, slow on long lists.
Quick check
Part 5 of 14
Quick check
Binary search requires the list to be…
Reset break
Part 6 of 14
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.
Quick check
Part 7 of 14
Quick check
Roughly how many checks does binary search need for a million items?
Learning cycle
Part 8 of 14
Learning cycle 2 of 2
Part 2 · Comparing utility
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 9 of 14
Learn
Comparing utility
The best algorithm depends on the situation. Sorting first is only worth it if you will search the list many times.
Quick check
Part 10 of 14
Quick check
Bubble sort finishes when…
Challenge round
Part 11 of 14
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 12 of 14
Game · Fill the gaps
Finish the sentences
Choose the word that belongs in each gap.
____ first is only worth it if you will search the list many times.
Mastery quiz
Part 13 of 14
Marked quiz
End of lesson quiz: Sorting and searching
3 questions, marked with the reasoning shown. No timer.
1. Binary search requires the list to be…
2. Roughly how many checks does binary search need for a million items?
3. Bubble sort finishes when…
Lesson round-up
Part 14 of 14
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 3 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.
How a supermarket checkout knows the price
When a barcode is scanned, the checkout does not store the price itself. It sends the barcode number to a database and reads back a record: product name, price, whether it needs an age check. The record is the single place the price lives, so changing one row changes every till in the shop at once.
Problems come from bad data, not bad scanners. If two products share a barcode, or a price update reaches the shop overnight but the till holds an old copy in its cache, customers are charged the wrong amount. Shops check this with test transactions: scan a known item, expect a known price, record what actually happened.
Good systems also log every scan. If a customer complains, the log shows exactly which record was used and when.
Written for Good Learning Co.
Reading questions
- Write in your own words what the checkout sends and what it receives back.
- Explain one way bad data could cause a wrong price, and how logging helps find it.
- Design a test table with four tests for a new checkout, with expected and actual results.
Reading and notes
ReadingRead the lesson text again and note the key terms and how each one is used, in your own words — as you would for revision.
Half a page of notes
Extended writing
WritingExplain a real system that uses this idea — how it works, where it can go wrong, and how you would make it safer or better.
250–350 words
Algorithm on paper
DiagramWrite your steps out as pseudocode or a flowchart before you type anything, then photograph it.
1 flowchart or 10 lines
Code write-up
WritingCopy your code in, then explain underneath what each part does and what you had to fix.
Code + 5 sentences
Test table
Working outMake a test table: what you tried, what you expected, what actually happened.
4–6 tests
Saved as you type.
Part 1 of 14 · Watch & discover
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Understand several key algorithms, including those for sorting and searching, and use logical reasoning to compare their utility
