BIDMAS: order of operations – Year 8 maths lesson
Lesson 7 of 35 in the Year 8 maths course
UK version. UK school years, UK spelling and pounds (£). · US Math Department
A complete 45-minute lesson for Year 8 (ages 12–13) that runs on this page – at school or at home. Every answer is marked straight away, with a worked explanation.
- Time
- 45 minutes + 20 min homework
- Year
- Year 8 (ages 12–13)
- You need
- Paper, a pencil and this page
- Marked
- Instantly, with explanations
For parents: how to use this lesson
You don't need to know this topic yourself. The lesson explains each step on screen, one tidy step at a time. Every answer is marked straight away with a worked explanation, so you never have to mark anything.
- Read what your child will learn and the big ideas together.
- Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
- Let them do the practice on their own. They choose Getting started, On track or Challenge – start on On track and move up after a few right in a row.
- Finish with the exit ticket and the talk question: “Where would you put brackets to make 2 + 3 × 4 equal 20?”
- Later that day or the next day: the homework (20 minutes), then a practice test.
Watch out for
- Working from left to right regardless (2 + 3 × 4 = 20). Multiplication comes before addition: 2 + 12 = 14.
- Squaring the wrong part (3 × 4² as 12²). The power belongs only to the number it touches: 3 × 16.
Tip for home: Check a calculator: does it follow the order of operations?
What your child will learn
We are learning to use the order of operations with brackets, powers and roots.
Success looks like
- I can use the order of operations.
- I can work with powers and roots in a calculation.
- I can add brackets to make a statement true.
Key words
- brackets
- show what to work out first
- index
- a power, such as the ² in 5²
- root
- the opposite of a power, such as √
- priority
- what comes first
What to have ready
- Paper and a pencil
- This page on a computer, tablet or phone
- For the hands-on part: Write a calculation on cards and put them in the order you would work them out.
The big ideas (for the adult)
Work out brackets first, then indices (powers and roots), then division and multiplication, then addition and subtraction: BIDMAS.
Division and multiplication have the same priority: work from left to right. The same for addition and subtraction.
A fraction line acts like brackets: work out the top and the bottom first.
The lesson, step by step
| Part | Time | How it is checked |
|---|---|---|
| Starter: quick recall | 5 min | Marked by Classfern |
| Teaching input | 10 min | Not assessed, self-checked |
| Worked examples and guided practice | 9 min | Not assessed, marked by Classfern |
| Independent practice | 15 min | Marked by Classfern |
| Plenary and exit ticket | 6 min | Marked by Classfern, self-checked |
Starter, "your turn", practice and exit ticket are marked by Classfern. Worked examples and teaching are not assessed. The hands-on task and the reflection are self-assessed. Explanations in talk are judged by the parent and not recorded.
The lesson
It runs here on the page. No sign-up and no names – progress is kept only in this browser.
Homework and practice at home
20 minutes: 10 practice questions, 3 multiple-choice questions and 2 to remember from earlier work, then a short reflection. New questions every time, all marked instantly.
More practice
More Year 8 maths lessons
- Ordering numbers, decimals and negatives
- Calculating with negative numbers
- Prime factors, HCF and LCM
- Rounding and estimation
- Powers and roots
- Written methods with decimals
- Calculating with fractions
- Units and measures
- Area of triangles, parallelograms and trapeziums
- Circles: circumference, area, arcs and sectors
- Angle facts and parallel lines
- Angles in polygons
- Transformations
- Quadrilaterals and symmetry
- Constructions and loci
- Averages and range
- Scatter graphs and correlation
- Probability
- Relative frequency and expected outcomes
- Algebraic notation
- Substitution
- Simplifying expressions
- Expanding brackets
- Solving linear equations
- Sequences and the nth term
- Straight-line graphs
- Graphs of functions
- Ratio
- One quantity as a fraction or percentage of another
- Percentages
- Direct and inverse proportion
- Speed, density and pressure
- Best buys and exchange rates
- Scale drawings and maps
Curriculum
National Curriculum for England, Year 8: “use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals”
National Curriculum for England, Year 8: “recognise and use relationships between operations including inverse operations”
Contains public sector information licensed under the Open Government Licence v3.0.
Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.