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🔢 BODMAS — Order of Operations

💡 What is BODMAS? (Simple English)

BODMAS tells you which calculation to do first.

  1. B — Brackets ( ) first
  2. O — Orders (powers)
  3. D/M — Divide and Multiply
  4. A/S — Add and Subtract last
B → O → D/MA/S

🔍 Worked Example

20 − 4 × 3

1

4 × 3 = 12

2

20 − 12 = 8

✅ Do You Understand?

In 10 + 2 × 4, what do you do first?

📝 Practice Questions

Q1. 5 + 3 × 2

3×2=6
5+6=?

Q2. (5 + 3) × 2

5+3=8
8×2=?

Q3. 20 − 4 × 3

4×3=12
20−12=?

Q4. (10 − 4) × 3

10−4=6
6×3=?

Q5. 15 ÷ 3 + 4

15÷3=5
5+4=?

🎉 BODMAS Complete!

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📊 Averages

💡 What are Averages? (Simple English)

An average is a number that represents a group of numbers.

  1. Mean — Add all, then divide by count
  2. Median — Middle number when in order
  3. Mode — Most common number
  4. Range — Biggest minus smallest
Mean = Total ÷ Count | Range = Max − Min

📝 Practice Questions

Q1. Mean of: 4, 6, 8

18÷3=?

Q2. Mean of: 10, 20, 30

60÷3=?

Q3. Median of: 3, 7, 2, 9, 5

Order: 2,3,5,7,9
Middle=?

Q4. Mode of: 4, 2, 4, 7, 4

Q5. Range of: 15, 3, 9, 11

15−3=?

🎉 Averages Complete!

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½ Fractions

💡 What is a Fraction? (Simple English)

A fraction shows a part of a whole. ½ means one part out of two equal parts.

  1. Numerator — top number
  2. Denominator — bottom number
  3. Fraction of amount: ÷ bottom, × top
Fraction of amount: ÷ bottom number, × top number

📝 Practice Questions

Q1. ½ of 20

Q2. ¼ of 36

Q3. ¾ of 20

Q4. ½ + ¼ = ?

Q5. Bigger fraction: ⅔ or ½?

🎉 Fractions Complete!

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⬛ Area

💡 What is Area? (Simple English)

Area is the amount of space inside a flat shape. Measured in cm² or m².

  1. Rectangle: Area = Length × Width
  2. Square: Area = Side × Side
Area = Length × Width

📝 Practice Questions

Q1. Area: 8 cm × 3 cm

Q2. Area: square side 5 cm

Q3. Area: 12 m × 4 m

Q4. Area: 9 cm × 6 cm

Q5. Area: 7.5 cm × 4 cm

🎉 Area Complete!

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📏 Perimeter

💡 What is Perimeter? (Simple English)

Perimeter is the total distance around the outside of a shape.

  1. Rectangle: 2 × (L + W)
  2. Square: 4 × side
  3. Triangle: add all 3 sides
Perimeter of rectangle = 2 × (L + W)

📝 Practice Questions

Q1. Perimeter: 8 cm × 3 cm rectangle

Q2. Perimeter: square side 5 cm

Q3. Perimeter: 10 m × 4 m rectangle

Q4. Perimeter: triangle 6+8+10 cm

Q5. Perimeter: 12 m × 5 m rectangle

🎉 Perimeter Complete!

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📦 Volume

💡 What is Volume? (Simple English)

Volume is the amount of space inside a 3D shape.

  1. Cuboid: L × W × H
  2. Cube: Side³
  3. Unit: cm³ or m³
Volume = L × W × H

📝 Practice Questions

Q1. Volume: 4 × 3 × 2 cm

Q2. Volume: cube side 3 cm

Q3. Volume: 5 × 4 × 3 m

Q4. Volume: 8 × 5 × 2 cm

Q5. Volume: 10 × 6 × 5 cm

🎉 Volume Complete!

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🔑 Answer Key — All Topics

BODMAS Q1
5+3×2 = 11
BODMAS Q2
(5+3)×2 = 16
BODMAS Q3
20−4×3 = 8
BODMAS Q4
(10−4)×3 = 18
BODMAS Q5
15÷3+4 = 9
Averages Q1
Mean(4,6,8) = 6
Averages Q2
Mean(10,20,30) = 20
Averages Q3
Median = 5
Averages Q4
Mode = 4
Averages Q5
Range = 12
Fractions Q1
½ of 20 = 10
Fractions Q2
¼ of 36 = 9
Fractions Q3
¾ of 20 = 15
Fractions Q4
½+¼ = ¾
Fractions Q5
⅔ > ½
Area Q1
8×3 = 24 cm²
Area Q2
5×5 = 25 cm²
Area Q3
12×4 = 48 m²
Area Q4
9×6 = 54 cm²
Area Q5
7.5×4 = 30 cm²
Perimeter Q1
2×(8+3) = 22 cm
Perimeter Q2
4×5 = 20 cm
Perimeter Q3
2×(10+4) = 28 m
Perimeter Q4
6+8+10 = 24 cm
Perimeter Q5
2×(12+5) = 34 m
Volume Q1
4×3×2 = 24 cm³
Volume Q2
3×3×3 = 27 cm³
Volume Q3
5×4×3 = 60 m³
Volume Q4
8×5×2 = 80 cm³
Volume Q5
10×6×5 = 300 cm³
TopicKey SkillCommon Errors
BODMASOrder of operationsWorking left to right; forgetting brackets change priority
AveragesMean, Median, Mode, RangeForgetting to order data for median; confusing mean with mode
FractionsFractions of amounts; comparingDividing by numerator instead of denominator
AreaL×W; units squaredForgetting to square the unit; adding instead of multiplying
PerimeterSum of all sidesConfusing with area; forgetting to ×2 for rectangle
VolumeL×W×H; units cubedForgetting the third dimension; using cm² instead of cm³

📋 Lesson Plan — Maths Revision L1 (90 min)

TimeActivityNotes
0–5 minWelcome & registerCheck devices work; ensure names entered
5–15 minBODMAS: ESOL intro + DYUExplain the acronym with real examples on board
15–25 minBODMAS: 5 practice QsCirculate; support learners who confuse + and ×
25–35 minAverages: ESOL intro + DYUUse physical examples: line up 5 learners for median
35–45 minAverages: 5 practice QsMode often confused — reinforce "most often"
45–55 minFractions: ESOL intro + DYUUse pizza/pie visuals; ÷ bottom then × top
55–65 minFractions: 5 practice QsQ4/Q5 are MCQ — discuss why before clicking
65–75 minArea + Perimeter: quick runStress the difference: area = inside, perim = around
75–85 minVolume: ESOL intro + QsUse a box to show L×W×H physically
85–90 minPlenary & recapReview Google Sheet scores with class; highlight progress

🎯 Learning Objectives

  • Apply BODMAS to calculate expressions in the correct order
  • Calculate mean, median, mode and range from a data set
  • Find fractions of amounts and compare simple fractions
  • Calculate area and perimeter of rectangles, squares and triangles
  • Calculate volume of cuboids and cubes

🌍 ESOL / SEND Support Strategies

  • Each topic has a plain-English ESOL explanation with key terms highlighted in gold
  • Use the hint strips before checking — they scaffold without giving the answer
  • DYU check sections identify gaps before practice begins
  • For EAL learners: allow native-language dictionaries for terminology
  • For dyslexia: Nunito font and high-contrast colours are already applied

📅 Scheme of Work — Maths Revision L1 (6-Week Block)

WeekTopicPlatform SectionFunctional Context
1BODMASTopic 1Following recipes; calculating wages with overtime
2Averages (Mean & Range)Topic 2Average weekly spend; comparing salaries; sports stats
3Averages (Median & Mode)Topic 2 revisitMost popular product; middle price in a range
4FractionsTopic 3Splitting bills; sale discounts; recipe scaling
5Area & PerimeterTopics 4 & 5Buying flooring/paint; fencing a garden; floor plans
6Volume + RevisionTopic 6 + allFilling containers; storage; concrete for building

📊 Assessment

  • Formative: DYU MCQ checks at the start of each topic (instant platform feedback)
  • Formative: 5 scored practice questions per topic (auto-sent to Google Sheet)
  • Summative: Functional Skills Level 1 Maths mock paper (separate)
  • Progress tracked via the shared Google Sheet (Results tab, filter by subject: Maths Revision L1)