graphical and numerical skills
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 graphical and numerical skills
- Apply graphical and numerical skills to exam-style questions
- Develop independent study skills
- Build cross-topic connections
Prerequisites
- Read the revision notes for graphical and numerical skills first (GCSE Revise summary)
- Key vocab to pre-teach: key terms from graphical and numerical skills
- Basic skills: reading the summary notes and answering the practice questions there
Materials & Equipment
- Exercise book, coloured pens
- Ruler
- Printed revision notes (link below)
- Internet for videos (see Resources)
Lesson 1: Introduction: graphical and numerical skills
Duration: 50 minutes
Starter Activity (5 minutes)
Quick Recall
Write down everything you already know about graphical and numerical skills. Then check against the key terms: key terms from graphical and numerical skills. Use a mini-whiteboard or paper.
Main Content (35 minutes)
Parent/Teacher Guide:
Before lesson: Read the script below. Pre-teach key vocab: key terms from graphical and numerical skills.
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: key terms from graphical and numerical skills.
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: graphical and numerical skills. By the end you will be able to answer exam questions on it unaided. It connects to the rest of Geography 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: graphical and numerical skills. By the end you will be able to answer exam questions on it unaided. It connects to the rest of Geography 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: Explain the difference between a simple bar chart and a compound bar chart, giving a geographical example of when each would be used.
Plenary (5 minutes)
Check Out
Your student states one thing they learned and one question they still have about graphical and numerical skills.
Lesson 2: Core Concepts: graphical and numerical skills
Duration: 50 minutes
Starter Activity (5 minutes)
Review Previous Lesson
Quick recap: write 3 key points from Lesson 1 on graphical and numerical skills. Check them against the notes below.
Main Content (35 minutes)
Definition: A line graph shows how a continuous variable changes over time or distance. The x-axis usually represents time or distance, and the y-axis represents the measured variable. Points are plotted and joined with straight lines or a curve of best fit.
Definition: A bar chart uses rectangular bars to compare discrete categories. The height (or length) of each bar represents the value. Bars can be vertical or horizontal. They should have gaps between them (unlike histograms).
Definition: A pie chart shows proportions of a whole as segments of a circle. The full circle (360°) represents the total, and each segment is proportional to the value it represents.
Definition: A scatter graph plots two variables against each other to test whether a relationship exists. Each point represents one observation. The pattern of points reveals the type and strength of correlation.
Definition: A population pyramid (age-sex pyramid) is a bar chart showing the age and sex structure of a population. Males are on the left, females on the right, with the youngest at the bottom and oldest at the top. The shape reveals a country's demographic characteristics.
Definition: A choropleth map uses different shades or colours to show the density or value of a variable across areas. Darker shading usually indicates higher values. Common for population density, GNI per head, or development indicators.
| Term | Meaning | Example |
|---|---|---|
| Simple bar | Comparing values across categories | GNI per head for 6 different countries |
| Compound bar | Comparing composition AND total | Energy mix (coal, gas, nuclear, renewable) for 5 countries |
| Multiple bar | Comparing two related variables | Birth rate and death rate for 8 countries |
| Clearly shows proportions of a whole | Difficult to compare between two pie charts | |
| Visually effective for 3-6 categories | Small differences between segments are hard to see | |
| Easy to understand at a glance | Too many categories make it cluttered | |
| Can be combined with maps (located pie charts) | Doesn't show total values - only proportions | |
| Wide base, narrow top | High birth rate; high death rate; short life expectancy; large youthful population | LICs (e.g. Niger, Chad) |
Practice (10 minutes)
Q: Explain the difference between a simple bar chart and a compound bar chart, giving a geographical example of when each would be used.
Answer: A simple bar chart has one bar per category showing a single value (e.g. GNI per head for different countries). A compound bar chart divides each bar into sections showing subcategories (e.g. energy mix for each country, with coal, gas, nuclear, and renewable as sections within each bar). Simple bars are best for comparing one variable; compound bars are best when you want to compare both totals and composition.
Plenary (5 minutes)
Explain Back
Your student teaches the key points back to you without looking. Fill any gaps immediately.
Lesson 3: Application: graphical and numerical skills
Duration: 50 minutes
Starter Activity (5 minutes)
Quick Recall
Recall the key terms: key terms from graphical and numerical skills. 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: Explain the difference between a simple bar chart and a compound bar chart, giving a geographical example of when each would be used.
Answer: A simple bar chart has one bar per category showing a single value (e.g. GNI per head for different countries). A compound bar chart divides each bar into sections showing subcategories (e.g. energy mix for each country, with coal, gas, nuclear, and renewable as sections within each bar). Simple bars are best for comparing one variable; compound bars are best when you want to compare both totals and composition.
Q2: A country's population is 32 million and its area is 256,000 km². Calculate its population density.
Answer: Population density = Total population ÷ Total area = 32,000,000 ÷ 256,000 = 125 people per km².
Q3: Describe the characteristics of a population pyramid for a country in Stage 4 of the DTM.
Answer: A Stage 4 population pyramid has a narrow base (low birth rate), relatively straight sides (low death rate across all ages), a wide middle section (large working-age population), and a widening top (increasing elderly population and high life expectancy). The shape is more rectangular/concave than a Stage 2 or 3 pyramid. An ageing population creates pressure on pensions and healthcare. Examples: UK, France, Australia.
Q4: Explain the difference between a choropleth map and a dot map. When might each be more appropriate?
Answer: A choropleth map shades areas by value (darker = higher), good for showing density or averages across defined areas (e.g. population density by region). A dot map uses dots to represent individual occurrences or quantities at specific locations, good for showing actual distribution (e.g. where people live). Choropleth is better for continuous data averaged over areas; dot maps are better for showing spatial clustering and the actual location of features.
Q5: A country's GDP per capita increased from $2,400 to $3,600 over ten years. Calculate the percentage increase.
Answer: Percentage increase = ((3,600 − 2,400) ÷ 2,400) × 100 = (1,200 ÷ 2,400) × 100 = 0.5 × 100 = 50% increase.
Q6: Explain the difference between interpolation and extrapolation on a scatter graph, and which is more reliable.
Answer: Interpolation estimates a value within the range of existing data points on a scatter graph - reading off the line of best fit between two known values. Extrapolation extends the line of best fit beyond the data range to estimate values for which no data exists. Interpolation is more reliable because it is based on the established trend within the known data range, whereas extrapolation assumes the trend continues in the same way, which may not be true.
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: graphical and numerical skills
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)
Exam-Style Question
Attempt a past-paper style question on graphical and numerical skills from the exam board past paper finder (see Resources), then mark it against the scheme.
Exam Tips: Always include title, axis labels, units, and key when drawing graphs | When describing graphs, quote data and identify trends, not just "it goes up" | Know which graph type is best for each data type (categorical = bar, continuous = line, proportional = pie) | Population pyramids: always describe base, sides, and top, and link to DTM stage | For pie chart calculations, always check angles add up to 360° | Choropleth maps: use a consistent colour scale with a clear key | Percentage change questions: remember to divide by the ORIGINAL value, not the new value | When interpreting scatter graphs, describe both the direction AND strength of correlation
Common Errors: Watch Out! Students often write vague answers without specific geographical evidence. Wrong: Writing generalised statements like 'it causes problems' Correct: Using specific data and named examples, e.g. 'the 2010 Haiti earthquake killed over 200,000 people due to poor building quality' Students often confuse causes and effects. Wrong: Mixing up what caused the event with what resulted from it Correct: Clearly separate causes (why it happened) from effects (what happened as a result) Students often describe rather than evaluate. Wrong: Listing strategies without assessing their effectiveness Correct: Weighing up strengths and weaknesses of each approach and reaching a supported judgement
Stretch & Challenge (Grade 8-9):
- Synoptic links: explain how graphical and numerical skills connects to another Geography topic you have studied
- Real-world: research one real-world use or example of graphical and numerical skills
- Critical: "What are the limitations of the models used in graphical and numerical skills?"
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: key terms from graphical and numerical skills (10 mins)
- Exam practice: One past-paper question on graphical and numerical skills from the board websites (15 mins)
- Extension: Explain graphical and numerical skills to someone else in your own words (10 mins)