units of measure
4 detailed 50-minute lessons with teaching scripts, worked examples, parent guides, and assessment criteria.
Lesson Overview
Total Lessons: 4
Tier: Foundation and Higher
Duration: 50 minutes per lesson (200 minutes total)
Exam Boards: AQA, Edexcel, OCR, Eduqas, CCEA
Tier: Foundation and Higher
Duration: 50 minutes per lesson (200 minutes total)
Exam Boards: AQA, Edexcel, OCR, Eduqas, CCEA
Learning Objectives
- Explain the key ideas of units of measure
- Apply units of measure to exam-style questions
- Develop independent study skills
- Build cross-topic connections
Prerequisites
- Read the revision notes for units of measure first (GCSE Revise summary)
- Key vocab to pre-teach: Units of measure
- Basic skills: reading the summary notes and answering the practice questions there
Materials & Equipment
- Exercise book, pencil, ruler
- Scientific calculator
- Pair of compasses and protractor (geometry topics)
- Graph paper
- Printed revision notes (link below)
Lesson 1: Introduction: units of measure
Duration: 50 minutes
Starter Activity (5 minutes)
Quick Recall
Write down everything you already know about units of measure. Then check against the key terms: Units of measure. Use a mini-whiteboard or paper.
Main Content (35 minutes)
Parent/Teacher Guide:
Before lesson: Read the script below. Pre-teach key vocab: Units of measure.
If stuck: Re-read the revision notes (link above), then break the content into smaller steps.
Extension: See the Stretch & Challenge ideas in Lesson 4.
Before lesson: Read the script below. Pre-teach key vocab: Units of measure.
If stuck: Re-read the revision notes (link above), then break the content into smaller steps.
Extension: See the Stretch & Challenge ideas in Lesson 4.
Teaching Script (35 mins):
Mins 0-5 - Hook: "Today: units of measure. By the end you will be able to answer exam questions on it unaided. It connects to the rest of Mathematics because the ideas here recur across the spec."
Mins 5-20 - Direct Instruction: Work through the core ideas below one at a time; after each, ask your student to explain it back in their own words.
Mins 20-30 - Guided Practice: Model the worked example together, then let your student attempt the first practice question with guidance.
Mins 30-35 - Independent Practice: 2-3 practice questions from Lesson 3 below, with immediate feedback.
Mins 0-5 - Hook: "Today: units of measure. By the end you will be able to answer exam questions on it unaided. It connects to the rest of Mathematics because the ideas here recur across the spec."
Mins 5-20 - Direct Instruction: Work through the core ideas below one at a time; after each, ask your student to explain it back in their own words.
Mins 20-30 - Guided Practice: Model the worked example together, then let your student attempt the first practice question with guidance.
Mins 30-35 - Independent Practice: 2-3 practice questions from Lesson 3 below, with immediate feedback.
First Look
Start with the revision notes summary, then attempt: Convert 7500 m to km.
Plenary (5 minutes)
Check Out
Your student states one thing they learned and one question they still have about units of measure.
Lesson 2: Core Concepts: units of measure
Duration: 50 minutes
Starter Activity (5 minutes)
Review Previous Lesson
Quick recap: write 3 key points from Lesson 1 on units of measure. Check them against the notes below.
Main Content (35 minutes)
Units of measure: are standard quantities used to measure physical quantities like length, mass, time, etc.
| Item | Detail |
|---|---|
| 1 inch | ≈ 2.5 cm |
| 1 foot | ≈ 30 cm |
| 1 mile | ≈ 1.6 km |
| 1 pound (lb) | ≈ 450 g |
| 1 gallon | ≈ 4.5 litres |
Practice (10 minutes)
Q: Convert 7500 m to km.
Answer: 7.5 km
Plenary (5 minutes)
Explain Back
Your student teaches the key points back to you without looking. Fill any gaps immediately.
Lesson 3: Application: units of measure
Duration: 50 minutes
Starter Activity (5 minutes)
Quick Recall
Recall the key terms: Units of measure. Define each in one sentence.
Main Content (35 minutes)
Parent/Teacher Guide: Let your student attempt each question alone first, then compare with the model answer. Award method marks for correct working even if the final answer is wrong.
Q1: Convert 7500 m to km.
Answer: 7.5 km
Q2: Convert 0.8 m² to cm².
Answer: 8000 cm²
Q3: Convert 3 litres to mL.
Answer: 3000 mL
Q4: Convert 2.4 kg to grams.
Answer: 2400 g
Q5: Convert 135 minutes to hours.
Answer: 2.25 hours (or 2 hours 15 minutes)
Plenary (5 minutes)
Error Review
Review any questions answered incorrectly. Identify whether the error was knowledge, method, or reading the question.
Lesson 4: Exam Practice: units of measure
Duration: 50 minutes
Starter Activity (5 minutes)
Command Words
Review what these command words require: state (one point), describe (say what happens), explain (say why), compare (both sides), evaluate (judgement).
Main Content (35 minutes)
Extended Answer
Extended question: Extended Answer 6 marks: A swimming pool is 25 m long, 10 m wide and 2 m deep at the deep end, sloping to 1 m at the shallow end. (a) Calculate the volume of water in the pool in m cubed. (b) Convert this to litres. (c) Water costs 0.2p per litre. Find the cost to fill the pool. The pool loses 2 cm of depth per week through evaporation. How many litres evaporate per week? <div class="
(a) Average depth = (2 + 1)/2 = 1.5 m. Volume = 25 x 10 x 1.5 = 375 m cubed. (b) 375 m cubed = 375 x 1000 = 375,000 litres. (c) Cost = 375,000 x 0.2p = 75,000p = £750. Evaporation: 2 cm depth = 0.02 m. Volume per week = 25 x 10 x 0.02 = 5 m cubed = 5000 litres. Mark scheme: M1 average depth, A1 volume 375, M1 conversion, A1 375000 litres, M1 cost, A1 £750, M1 evaporation volume, A1 5000 litres
Exam Tips: Learn the conversion factors by heart | Remember: area units are squared, volume units are cubed | 1 cm³ = 1 mL is very useful for volume problems | For time, use fractions: 45 min = 3/4 hour = 0.75 hours | Check your answer is sensible - should it be bigger or smaller? | Practise both metric-metric and imperial-metric conversions
Common Errors: Watch Out! 1. Wrong: Converting 2 m squared to cm squared by multiplying by 100 Correct: 2 m squared = 2 x 10,000 = 20,000 cm squared. For area, multiply by 100 squared = 10,000, not 100. 2. Wrong: Converting 3 m cubed to cm cubed by multiplying by 100 Correct: 3 m cubed = 3 x 1,000,000 = 3,000,000 cm cubed. For volume, multiply by 100 cubed = 1,000,000. 3. Wrong: Mixing imperial and metric units without conversion (e.g. adding feet and metres) Correct: Always convert all measurements to the same unit system before adding or comparing. 1 foot = 30.48 cm, 1 inch = 2.54 cm, 1 mile = 1.609 km.
AO3 - Reasoning & Interpretation: Reasoning and Interpretation A recipe requires 2 lb of flour and 1 pint of milk. A student has 1 kg of flour and 1 litre of milk. (a) Does the student have enough flour? (1 lb = 454 g) (b) Does the student have enough milk? (1 pint = 568 ml) (c) The student says "I can just use 2 kg of flour instead of 2 lb since they're roughly the same." How far off would this be? Is this an acceptable approximation? Answers: (a) 2 lb = 908 g = 0.908 kg. Yes, 1 kg is enough (92 g spare). (b) 1 pint = 568 ml. Yes, 1 litre (1000 ml) is enough (432 ml spare). (c) 2 kg instead of 2 lb = 2000 g instead of 908 g. That is 2.2 times too much flour. This is NOT an acceptable approximation — it would completely ruin
Stretch & Challenge (Grade 8-9):
- Synoptic links: explain how units of measure connects to another Mathematics topic you have studied
- Real-world: research one real-world use or example of units of measure
- Critical: "What are the limitations of the models used in units of measure?"
Plenary (5 minutes)
Assessment Criteria
- Got it: Confident explanation + correct worked examples
- Getting there: Main points OK, needs support with detail
- Not yet: Confused on key concepts - re-run Lesson 2
Homework & Consolidation
- Consolidation: Re-answer any Lesson 3 practice questions answered incorrectly (20 mins)
- Retrieval: Write flashcards for the key terms: Units of measure (10 mins)
- Exam practice: One past-paper question on units of measure from the board websites (15 mins)
- Extension: Explain units of measure to someone else in your own words (10 mins)