BODMAS – Functional Skills Maths

📐

BODMAS Rules & Brackets

Always calculate brackets first, then powers, then × ÷, then + −

🔢

Order of Operations

B → O → D → M → A → S

⚠️

Key Rule

4 + 3 × 5 = 4 + 15 = 19 (NOT 35!)

Worked Example — Brackets first

Calculate: (4 + 3) × 5

Brackets first: (4 + 3) = 7
Then multiply: 7 × 5 = 35

= 35

Worked Example — No brackets

Calculate: 16 − 5 × 2

Multiply first: 5 × 2 = 10
Then subtract: 16 − 10 = 6

= 6

🎬 Animated Example — 24 ÷ (3 + 3) + 2 × 4

Press Next to start the animation

B

Brackets

O

Orders

D

Divide

M

Multiply

A

Add

S

Subtract

24 ÷ (3 + 3) + 2 × 4

Step 0 / 6

Q11 markStandard

Calculate: 4 + 3 × 5

Q21 markStandard

Calculate: (4 + 3) × 5

Q32 marksStandard

Calculate: 5 × (2 + 3)

💡 BODMAS rule

BODMAS

Do the Brackets ( ) first, then Multiply.

Step-by-step

B: (2 + 3) = 5

M: 5 × 5 = 25

Q42 marksIntermediate

Calculate: 16 − 5 × 2

💡 BODMAS rule

BODMAS

No brackets here — Multiply before you Subtract. Never just work left to right.

Step-by-step

M first: 5 × 2 = 10

S: 16 − 10 = 6

Q52 marks

A taxi charges £2 per mile plus a £2 booking fee. Write the expression and calculate the cost for 6.2 miles.

£

💡 BODMAS rule

BODMAS

Multiply first, then Add. (A letter next to a number means times.)

Step-by-step

Expression: 2m + 2 = 2 × 6.2 + 2

M: 2 × 6.2 = 12.4

A: 12.4 + 2 = 14.4

= £14.40

Q62 marksAdvanced

Calculate: 24 ÷ (3 + 3) + 2 × 4

💡 BODMAS rule

BODMAS

Brackets first, then Divide and Multiply (left to right), then Add.

Step-by-step

B: (3+3)=6

D: 24÷6=4

M: 2×4=8

A: 4+8=12

Section 1 Complete! 🎉

BODMAS Rules & Brackets done. Next: Powers & Substitution

⚡

Powers, Roots & Substitution

O = Orders (powers and roots) — calculated after brackets, before × ÷

📐

Powers Rule

4 + 3² = 4 + 9 = 13 (square first!)

🔡

Substitution Rule

Letter next to number = multiply (4a = 4 × a)

Worked Example — Powers in BODMAS

Calculate: 4 × (1 + 2)² − 5

B: (1 + 2) = 3
O: 3² = 9
M: 4 × 9 = 36
S: 36 − 5 = 31

= 31

Worked Example — Substitution (a = 5, b = 3)

Calculate: 4a + 2b

Substitute: 4 × 5 + 2 × 3
M first: 20 + 6
A: 26

= 26

🤔

Do You Understand?

Powers & substitution check

1. Calculate: 4 + 3². What do you work out FIRST?

4 + 3 = 7, then 7² = 49 3² = 9, then 4 + 9 = 13 4 × 3 = 12, then add the power Work left to right: 4 + 3 = 7

2. If a = 5 and b = 3, what does "4a + 2b" mean?

4 + 5 + 2 + 3 = 14 (4 + 2) × (5 + 3) = 48 4 × 5 + 2 × 3 = 20 + 6 = 26 4a means write a four times: aaaa

Q11 markStandard

Calculate: 4 + 3²

Q21 markStandard

Calculate: (2 + 5)²

Q32 marks

Calculate: 4 × 5 + 3²

💡 BODMAS rule

BODMAS

Do the Order (power) first, then Multiply, then Add.

Step-by-step

O: 3² = 9

M: 4 × 5 = 20

A: 20 + 9 = 29

Q42 marks

Calculate: 4 × (1 + 2)² − 5

💡 BODMAS rule

BODMAS

Brackets, then Order (power), then Multiply, then Subtract.

Step-by-step

B: (1 + 2) = 3

O: 3² = 9

M: 4 × 9 = 36

S: 36 − 5 = 31

Q52 marks

Given a = 5 and b = 3, calculate: 4a + 2b

💡 BODMAS rule

BODMAS

A letter next to a number means times — Multiply each part, then Add.

Step-by-step

Substitute: 4 × 5 + 2 × 3

M: 20 + 6

A: 26

Section 2 Complete! 🎉

Powers & Substitution done. Next: Formulae & Real-Life Problems

🌍

Formulae & Real-Life Problems

Apply BODMAS to formulae and multi-step real-world calculations

📋

Area of Rectangle

A = L × W

🌡️

°C to °F Conversion

F = C × 9/5 + 32

Worked Example — Temperature Conversion

Convert 15°C to °F using: F = C × 9/5 + 32

Substitute: F = 15 × 9/5 + 32
M: 15 × 9 = 135
D: 135 ÷ 5 = 27
A: 27 + 32 = 59

= 59°F

🤔

Do You Understand?

Formulae & real-life applications

1. To convert 20°C to °F using F = C × 9/5 + 32, which step comes FIRST?

Add 32 first: 20 + 32 = 52 Multiply and divide first: 20 × 9 = 180, then 180 ÷ 5 = 36, then 36 + 32 = 68 Divide 9/5 = 1.8, then 1.8 + 32 = 33.8, then × 20 = 676 Multiply everything together: 20 × 9 × 5 × 32

2. In the tax formula 0.2(y − p), which operation does the bracket change?

Nothing — it's just there for decoration It forces the subtraction (y − p) to happen BEFORE multiplying by 0.2 It makes you multiply 0.2 × y first, then subtract p It means the answer must be negative

Q12 marks

A rectangle is 13 cm long and 5 cm wide. Use the formula A = L × W to find its area.

cm²

💡 BODMAS rule

BODMAS

Put the numbers in place of the letters, then Multiply.

Step-by-step

A = L × W = 13 × 5

= 65 cm²

Q22 marks

Convert 15°C to °F using: F = C × 9/5 + 32

°F

💡 BODMAS rule

BODMAS

Divide and Multiply first, then Add.

Step-by-step

Substitute: 15 × 9/5 + 32

15 × 9 = 135

135 ÷ 5 = 27

27 + 32 = 59°F

Q32 marks

Calculate: 8 × 5 − (5² − 9)

💡 BODMAS rule

BODMAS

Do the Brackets first — and inside the bracket do the Order (power) before you Subtract.

Step-by-step

Inside bracket: 5² = 25

B: (25 − 9) = 16

M: 8 × 5 = 40

S: 40 − 16 = 24

Q43 marks

A caterer earns £1,375 per month. Income tax (y) is calculated using: 0.2(y − p) where p = annual personal allowance = £11,850. How much tax does she pay for the year? (y = 1375 × 12)

£

💡 BODMAS rule

BODMAS

Work out the Bracket ( ) first, then Multiply by the rate.

Step-by-step

y = 1375 × 12 = 16500

B: (16500 − 11850) = 4650

0.2 × 4650 = 930

= £930 tax

Q53 marks

A mechanic worked 7.5 hours/day Mon–Sat (no Sunday). Normal rate: £10.80/hr. Saturday rate: ×1.25. Calculate her total weekly pay.
Total = (Mon–Fri hours × rate × 5) + (Sat hours × 1.25 × rate)

£

💡 BODMAS rule

BODMAS

Multiply each part first, then Add them together.

Step-by-step

Mon–Fri: 10.8 × 7.5 × 5 = 405

Saturday: 10.8 × 1.25 × 7.5 = 101.25

Total: 405 + 101.25 = 506.25

= £506.25

Section 3 Complete! 🎉

Formulae & Real-Life done. Check your overall results!

0/26

points scored

—

TOPIC BREAKDOWN

🔵

BODMAS: The Basics

Learn the order: Brackets → Divide/Multiply → Add/Subtract

📏

BODMAS Order

B · O · D · M · A · S

❌

Common Mistake

2 + 3 × 4 ≠ 20 (correct answer = 14)

Worked Example

Calculate: 10 − 2 × 3

Multiply first (M before S): 2 × 3 = 6
Then subtract: 10 − 6 = 4

= 4

🤔

Do You Understand?

Check before you start practising

1. Calculate: 2 + 3 × 4. What is the correct answer?

20 — add 2+3 first to get 5, then 5×4 14 — multiply 3×4 first to get 12, then add 2 24 — multiply 2×3 and add 4×something 11 — work straight left to right

2. In BODMAS, what does the letter M stand for — and does it come before or after Addition?

M = Minus — it comes after Addition M = Multiplication — it comes BEFORE Addition M = Multiplication — it comes AFTER Addition M = More — it means do the bigger number first

Q11 mark

Calculate: 2 + 3 × 4

Q21 mark

Calculate: (2 + 3) × 4

Q32 marks

Calculate: 20 ÷ (2 + 3)

💡 BODMAS rule

BODMAS

Do the Brackets ( ) first, then Divide.

Step-by-step

B: (2 + 3) = 5

D: 20 ÷ 5 = 4

Q42 marks

Calculate: 3 + 4 × 2 − 1

💡 BODMAS rule

BODMAS

Multiply first, then Add and Subtract (left to right).

Step-by-step

M: 4 × 2 = 8

A: 3 + 8 = 11

S: 11 − 1 = 10

Section 1 Complete! 🎉

BODMAS Basics done. Next: Brackets and Division

🔡

Brackets & Mixed Operations

How brackets change the calculation — and mixing all four operations

👆

Bracket Rule

Always calculate ( ) before anything else

Worked Example

Calculate: 24 ÷ (6 − 2) + 3

B: (6 − 2) = 4
D: 24 ÷ 4 = 6
A: 6 + 3 = 9

= 9

🤔

Do You Understand?

Brackets & mixed operations check

1. Calculate: 24 ÷ (6 − 2) + 3. What step is FIRST?

Divide 24 ÷ 6 = 4 first (left to right) Work out the bracket (6 − 2) = 4 first Add 3 first because addition should be done early Subtract 2 from everything

Q12 marks

Calculate: 24 ÷ (6 − 2) + 3

💡 BODMAS rule

BODMAS

Brackets first, then Divide, then Add.

Step-by-step

B: (6 − 2) = 4

D: 24 ÷ 4 = 6

A: 6 + 3 = 9

Q22 marks

Calculate: (10 − 4) × 3 + 2

💡 BODMAS rule

BODMAS

Brackets first, then Multiply, then Add.

Step-by-step

B: (10 − 4) = 6

M: 6 × 3 = 18

A: 18 + 2 = 20

Q32 marks

Calculate: 5 × 6 − (3 + 4)

💡 BODMAS rule

BODMAS

Brackets first, then Multiply, then Subtract.

Step-by-step

B: (3 + 4) = 7

M: 5 × 6 = 30

S: 30 − 7 = 23

Q42 marks

In a shop, a banana costs 6p and an apple costs 5p. You buy 8 bananas and 7 apples. How much do you pay in pence?

p

💡 BODMAS rule

BODMAS

Multiply each group first, then Add them.

Step-by-step

8 × 6 = 48p (bananas)

7 × 5 = 35p (apples)

48 + 35 = 83p

Section 2 Complete! 🎉

Brackets & Mixed Operations done. Next: Real-Life Problems

🛒

BODMAS in Real Life

Apply order of operations to everyday money, time and measurement problems

💷

Always write the expression first

Then apply BODMAS step by step

Worked Example

A plumber charges £25 call-out plus £15 per hour. How much for 3 hours?

Expression: 25 + 15 × 3
M: 15 × 3 = 45
A: 25 + 45 = 70

= £70

🤔

Do You Understand?

BODMAS in real-life problems

1. A plumber charges a £30 call-out fee plus £20 per hour. For a 3-hour job, which expression is correct?

(30 + 20) × 3 = £150 30 + 20 × 3 = £90 (BODMAS: multiply first, then add the fixed fee) 30 × 20 + 3 = £603 20 + 30 × 3 = £110

Q12 marks

A plumber charges £25 call-out plus £15 per hour. How much for 3 hours?

£

💡 BODMAS rule

BODMAS

Multiply first, then Add the call-out fee.

Step-by-step

25 + 15 × 3

M: 15 × 3 = 45

A: 25 + 45 = £70

Q22 marks

Three friends each pay £12 for a meal, then split a £6 dessert equally. How much does each person pay in total?

£

💡 BODMAS rule

BODMAS

Divide to find each share, then Add.

Step-by-step

12 + 6 ÷ 3

D: 6 ÷ 3 = 2

A: 12 + 2 = £14

Q32 marks

A nursery has 4 rooms. Each room has 3 tables with 5 chairs each. How many chairs are there in total?

💡 BODMAS rule

BODMAS

Only Multiply here — work left to right.

Step-by-step

4 × 3 × 5

= 12 × 5 = 60 chairs

Q43 marks

A builder earns £18/hr normally. For overtime he earns double. Last week he worked 35 normal hours and 6 overtime hours. What was his total pay?

£

💡 BODMAS rule

BODMAS

Multiply each part first, then Add them together.

Step-by-step

Normal: 18 × 35 = 630

Overtime rate: 18 × 2 = 36

Overtime pay: 36 × 6 = 216

Total: 630 + 216 = £846

All Sections Complete! 🎉

Fantastic work on Level 1 BODMAS — check your results!

0/23

points scored

—

TOPIC BREAKDOWN

⚡ BODMAS Challenge

5 timed questions — no hints — prove your BODMAS mastery!

12Questions

—Best Score

60sPer Question

📋

My Learning Report

Full breakdown of performance, hints used & personalised recommendations

YOUR DETAILS

0Total Score

0%Percentage

0Hints Used

—Grade

SECTION BY SECTION ANALYSIS

PERSONALISED RECOMMENDATIONS

MY PROGRESS OVER TIME — DISTANCE TRAVELLED

DOWNLOAD / SEND YOUR PDF REPORT

Your results are made into a PDF. Save downloads it to your computer (Desktop / Downloads), Print opens it ready to print or save, and Email downloads the PDF and opens your email to the teacher — just attach the file that has just downloaded.

SEND TO MY TEACHER (CLASS DATA)

Fill in your first name and surname above. Your code is the first letter of your name + your surname (for example, John Smith → JSmith).

What is BODMAS? 🧮

Everything you need to know about the order of operations — what it is, why it matters, and how to use it.

📖 What Does BODMAS Stand For?

BODMAS is a set of rules that tells you the correct order to carry out mathematical operations in any calculation. Without these rules, different people could get different answers to the same sum!

B

Brackets

( ) first

O

Orders

² √ powers

D

Division

÷

M

Multiply

×

A

Addition

+

S

Subtract

−

Note: D and M have equal priority (left to right). A and S have equal priority (left to right).

⚠️ Why Does Order Matter?

Without BODMAS rules, the same calculation gives different answers. For example: 4 + 3 × 5

❌ WRONG (left to right)

4 + 3 = 7
7 × 5 = 35

✅ CORRECT (BODMAS)

3 × 5 = 15
4 + 15 = 19

Every maths exam in the UK uses BODMAS. Getting this wrong will cost you marks every time!

🔢 How Brackets Change Everything

Brackets are the most powerful tool in BODMAS. They override the normal order and force that part to be calculated first.

🔵

4 + 3 × 5 = 19

No brackets → multiply first: 3 × 5 = 15, then 4 + 15

🟢

(4 + 3) × 5 = 35

Brackets force addition first: (4 + 3) = 7, then 7 × 5

🟡

20 ÷ (2 + 3) = 4

Bracket gives you the divisor: (2 + 3) = 5, then 20 ÷ 5

💡 Exam Tip

Always look for brackets FIRST in any calculation. Circle them on your exam paper before you start!

⚡ Powers (Orders) — The O in BODMAS

"Orders" means powers and roots. These come after brackets but before multiplication and division.

2️⃣

3² = 9 (three squared = 3 × 3)

The small raised number tells you how many times to multiply

📐

4 + 3² = 4 + 9 = 13

O before A: square the 3 first, then add

🔶

(2 + 5)² = 7² = 49

B then O: bracket first gives 7, then 7 × 7

WORKED EXAMPLE: 4 × (1 + 2)² − 5

B

(1 + 2) = 3

Brackets first

O

3² = 9

Powers next

M

4 × 9 = 36

Multiply before subtract

S

36 − 5 = 31

Finally subtract

🔡 Expressions & Formulae

Expressions use letters to represent numbers. You apply BODMAS after substituting the values.

✍️

4a + 2b (where a=5, b=3)

Replace letters: 4×5 + 2×3 = 20 + 6 = 26

📋

A = L × W (area formula)

Area of 13cm × 5cm rectangle = 65 cm²

🌡️

F = C × 9/5 + 32

Convert 15°C: 15 × 9 ÷ 5 + 32 = 59°F

💡 Letter next to number = multiply!

When you see 4a, it always means 4 × a. This is a convention used throughout maths and science.

🌍 Why Do We Use BODMAS in Real Life?

BODMAS isn't just for maths class — it's built into every calculator, spreadsheet and computer program:

💷

Pay calculations — £25 + £15 × 3 hours = £70

Must multiply hours by rate before adding call-out fee

🏗️

Construction — volumes, areas, material quantities

V = π × r² × h — powers and multiplication before addition

💰

Tax — 0.2 × (salary − allowance)

Brackets determine what you subtract before multiplying tax rate

📱

Excel / Google Sheets follow BODMAS automatically

Every formula you type uses these exact rules

✅ Quality & Ofsted — The Three I's

How this resource meets the Ofsted Education Inspection Framework.

🎯 Intent

Build secure, transferable order-of-operations (BODMAS) skills mapped to Functional Skills Maths Level 1 and Level 2, with plain-language support so ESOL learners can fully access the maths.

🛠️ Implementation

Clear modelled examples, step-by-step animated working, scaffolded rule-based hints, hover-to-simplify vocabulary, and a timed challenge that revisits earlier learning.

📈 Impact

Progress is evidenced through section scores, the retrieval challenge, and a downloadable report (email, print or save as PDF) that records each learner's achievement for tutors.

🚀 Ready to practise?

Now you know the rules — head back to the topic tabs and put BODMAS to the test. Remember: always check for brackets first, then powers, then multiply/divide, then add/subtract!

💼 BODMAS in Real Jobs

Order of operations isn't just for the classroom. People use BODMAS every day at work — and getting the order wrong can mean the wrong bill, the wrong wage, or the wrong medicine dose.

🛒

Retail Assistant

Working out a customer's total — multiply each item by its price first, then add the delivery charge.

3 × £4 + £2 → M then A = £14

🔧

Plumber

A call-out fee plus an hourly rate. Multiply the hours by the rate before adding the fee.

25 + 15 × 3 → M then A = £70

👷

Builder / Construction

Working out how many tiles or how much material a wall needs using area = length × width.

8 × 5 → M = 40 tiles

💉

Nurse / Healthcare

Calculating a safe medicine dose by body weight. The order must be exact — lives depend on it.

5 mg × 12 kg → M = 60 mg

💷

Payroll / Accounts

Working out tax: do the bracket (pay above the allowance) first, then multiply by the tax rate.

0.2 × (16500 − 11850) → B then M = £930

👨‍🍳

Chef / Catering

Scaling a recipe for more guests — work out the bracket (guests ÷ recipe serves) first, then multiply.

(20 ÷ 4) × 150 g → B then M = 750 g

⚡

Electrician

Working out electrical power with the formula Power = Voltage × Current.

230 × 13 → M = 2990 W

🚗

Mechanic

A repair bill — multiply labour hours by the rate, then add the cost of parts.

120 + 3 × 45 → M then A = £255

🎨

Painter / Decorator

How many tins of paint? Work out the wall area first, then divide by the coverage per tin.

(6 × 4) ÷ 12 → B then D = 2 tins

🖥️

Office / IT — Spreadsheets

Every Excel and Google Sheets formula follows BODMAS automatically — so you must too.

=4 + 3 * 5 → gives 19, not 35

💡 Employability link: Almost every trade and profession uses BODMAS — payroll, the trades, healthcare, catering, finance and IT. Strong number skills make you safer, faster and more employable.

📝 Lesson Plan

An Ofsted-ready lesson plan for teaching BODMAS / order of operations in Functional Skills Maths, built around the Education Inspection Framework — Intent, Implementation and Impact.

📋 Lesson Details

Subject: Functional Skills Maths

Topic: BODMAS — Order of Operations

Level: Entry 3 / Level 1 / Level 2 (adaptable)

Duration: 60 minutes

Group / Room: ______________________

Date / Tutor: ______________________

✅ The Three I's for this lesson

How this single lesson meets the Ofsted Education Inspection Framework.

🎯 Intent

Learners understand why a fixed order of operations exists and can apply BODMAS accurately, building secure foundations for further maths and for the workplace.

🛠️ Implementation

I-do / we-do / you-do modelling, an animated worked example, scaffolded rule-only hints, ESOL plain-language support, and real-job contexts — with assessment for learning throughout.

📈 Impact

Progress is evidenced live through self-marking questions, the timed challenge, an exit ticket, and a downloadable learner report for the tutor.

🎯 Learning Objectives (Differentiated)

All learners will apply the BODMAS order to two-step calculations (brackets, then × ÷, then + −).
Most learners will solve multi-step problems including powers and real-life money calculations.
Some learners will substitute values into expressions and formulae and explain their reasoning to others.

🔗 Functional Skills Mapping

This lesson addresses the reformed Functional Skills Mathematics subject content:

Using numbers & the number system: carry out calculations using the correct order of operations (BODMAS).
Using common measures, shape & space: use formulae such as area = length × width.
Solving mathematical problems: multi-step money, measure and workplace problems.
Level 2 extension: understand and use simple formulae and expressions, and substitute values correctly.
Indicative content codes (confirm against your awarding body): N = Using numbers & the number system (order of operations); MSS = Using common measures, shape & space (area & formulae); PS = Solving mathematical problems & decision making. Level 1 = FSM L1; Level 2 = FSM L2.

🧠 Prior Learning & Key Vocabulary

Prior learning: the four operations (+ − × ÷), times tables, and reading worded problems. Recap at the starter.

Key vocabulary (ESOL-supported): brackets, operations, multiply, divide, subtract, expression, substitute, formula, priority. Learners can hover any underlined word in this resource for a plain-English meaning.

🧰 Resources

This interactive BODMAS platform (projector / individual devices).
Mini-whiteboards and pens for the starter and AfL.
Calculators (to check, not replace, working).
"BODMAS in Jobs" tab for the real-life application task.
Downloadable learner report (PDF) as evidence of progress.

⏱️ Lesson Sequence

Time	Phase	Teacher activity (Implementation)	Learner activity	Assessment (AfL)
0–5	Starter / Recall	Display "True or False: 4 + 3 × 5 = 35?" Draw out the misconception.	Vote on mini-whiteboards; explain thinking.	Whiteboard responses
5–8	Share intent	Share objectives and success criteria; explain why order matters at work.	Read success criteria; ask questions.	Targeted questioning
8–18	I do (model)	Model BODMAS using the animated worked example; think aloud.	Watch, annotate, follow the steps.	Cold-call questioning
18–30	We do (guided)	Work through paired questions; use the "About BODMAS" tab.	Work in pairs; hover ESOL words for support.	Circulate & check; live feedback
30–48	You do (independent)	Set the Level 1 / Level 2 questions; encourage rule-only hints.	Work independently; self-mark with instant feedback.	Live scores; hints used
48–55	Stretch & apply	Direct learners to "BODMAS in Jobs"; pose a wage/measure problem.	Apply BODMAS to a real workplace context.	Challenge questions
55–60	Plenary	Review common errors; generate the report; set an exit ticket.	Self-assess; download report PDF; answer exit ticket.	Exit ticket + report as evidence

🔁 Lesson Flow at a Glance

The whole teaching sequence as one flow — phases, timings, the continuous assessment-for-learning loop (right), and the reflection that feeds into the next session (left).

🧩 Differentiation, SEND & ESOL Support

ESOL: hover-to-simplify glossary turns hard words into plain English.
Lower attainers: rule-only scaffolded hints, worked examples and the animated step-by-step.
Higher attainers: extension through powers, substitution, the Challenge and Jobs tabs.
SEND / accessibility: high-contrast colours, large clear text, self-paced, screen-reader friendly buttons.
Support strategies: talk partners, 1:1 tutor circulation, and instant on-screen feedback.

✅ Assessment for Learning

Targeted and cold-call questioning at each phase.
Mini-whiteboards for whole-class checks.
Self-marking questions with immediate feedback and worked solutions.
"Do You Understand?" checks and the timed challenge for retrieval.
Hints used as a formative signal of confidence.
Exit ticket and downloadable report PDF as evidence of impact.

🌍 British Values, SMSC & Employability

Rule of law: BODMAS is an agreed mathematical convention everyone follows.
Mutual respect & tolerance: collaborative paired work and shared discussion.
Individual liberty: learners progress at their own pace and review their own data.
Employability & financial capability: real wage, tax, measure and trade contexts (Jobs tab).

♿ Equality, Diversity & Inclusion

Examples draw on a wide range of jobs and everyday contexts with no cultural or gender bias. Language is accessible for ESOL learners, pace is adjustable, and the design uses high-contrast, readable text so all learners can take part fully.

♿ Accessibility & Reading Age

Target reading age: worded problems are written in plain English at approximately a reading age of 9–11 (Entry 3 / Level 1), with an ESOL hover-glossary to simplify harder words on demand.

Keyboard & focus: all tabs, buttons and inputs are keyboard-reachable with a visible focus outline; a "skip to main content" link is provided.
Motion: animations automatically reduce for users who set "reduce motion" in their device settings.
Live feedback: answer feedback is announced to screen readers (aria-live).
Visual: high-contrast colours and large, clear text; layout reflows on phones and at browser zoom.
Recommended check: verify with your own assistive technology (e.g., NVDA / VoiceOver) before first use — aim for WCAG 2.1 AA.

🏠 Independent Study / Homework

Complete the Challenge tab and beat your best score.
Find one example of BODMAS in your own job or daily life.
Bring one multi-step calculation to share next session.

📝 Post-Lesson Evaluation & Reflection

What went well: ______________________

Even better if: ______________________

Individual progress / next steps: ______________________

Actions for next session: ______________________

🗓️ Scheme of Work

A short scheme of work that sequences BODMAS from Level 1 to Level 2, applying it to real workplace and money contexts — mapped to Functional Skills and the Ofsted Three I's.

🎯 Overall Aims & Intent

Across this scheme, learners build secure, transferable order-of-operations skills, progressing from single brackets and mixed operations (Level 1) to powers, expressions and multi-step formulae (Level 2), and applying them confidently to real-life and workplace problems.

📚 Sequence of Sessions

Session	Topic & FS Content	Learning Outcomes	Activities	Assessment
1	BODMAS basics & brackets (L1)	Recognise the order; do brackets and × ÷ before + −.	Animated example; "About BODMAS"; Topic 1 questions.	Self-marking Qs; exit ticket
2	Mixed operations (L1)	Apply the order to multi-step sums; avoid the left-to-right error.	Paired practice; rule-only hints; whiteboard checks.	Live scores; Q&A
3	BODMAS in real life — money (L1)	Solve wage and shopping problems using BODMAS.	"BODMAS in Jobs"; worded money problems.	Worksheet; report PDF
4	Powers & roots — Orders (L2)	Calculate with squares and roots in the correct order.	Topic 2 modelling; guided practice.	Self-marking Qs
5	Expressions & substitution (L2)	Substitute values; use the letter × number convention.	Topics 2–3; worked examples; pairs.	Targeted questioning
6	Formulae, multi-step & assessment (L2)	Use formulae and solve multi-step real-life problems; review.	Topic 3; timed Challenge; generate report.	Challenge score + report as evidence

🔗 Mapping & Progression

Functional Skills: using numbers & the number system; common measures, shape & space; solving mathematical problems; formulae and expressions (L2).
Indicative session refs (confirm against your awarding body): S1 & S2 → FSM L1 / N; S3 → FSM L1 / N + PS; S4 → FSM L2 / N; S5 → FSM L2 / N (expressions); S6 → FSM L2 / N + MSS + PS.
Progression: Entry 3 recap → Level 1 secure → Level 2 stretch, with real-job application woven through.
Impact: measured by section scores, the retrieval challenge and downloadable learner reports across the scheme.

💡 Tip: Each session links directly to a tab in this resource, so the scheme and the activities stay in one place for learners and tutors.

📊 Class Data Collection

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⚡ BODMAS Challenge

My Learning Report

What is BODMAS? 🧮

📖 What Does BODMAS Stand For?

⚠️ Why Does Order Matter?

🔢 How Brackets Change Everything

💡 Exam Tip

⚡ Powers (Orders) — The O in BODMAS

🔡 Expressions & Formulae

💡 Letter next to number = multiply!

🌍 Why Do We Use BODMAS in Real Life?

✅ Quality & Ofsted — The Three I's

🎯 Intent

🛠️ Implementation

📈 Impact

🚀 Ready to practise?

💼 BODMAS in Real Jobs

📝 Lesson Plan

📋 Lesson Details

✅ The Three I's for this lesson

🎯 Intent

🛠️ Implementation

📈 Impact

🎯 Learning Objectives (Differentiated)

🔗 Functional Skills Mapping

🧠 Prior Learning & Key Vocabulary

🧰 Resources

⏱️ Lesson Sequence

🔁 Lesson Flow at a Glance

🧩 Differentiation, SEND & ESOL Support

✅ Assessment for Learning

🌍 British Values, SMSC & Employability

♿ Equality, Diversity & Inclusion

♿ Accessibility & Reading Age

🏠 Independent Study / Homework

📝 Post-Lesson Evaluation & Reflection

🗓️ Scheme of Work

🎯 Overall Aims & Intent

📚 Sequence of Sessions

🔗 Mapping & Progression

📊 Class Data Collection

Class Data is locked

🔗 Result collection — Microsoft Forms (already set up)

👤 Learner code