Maps and Scale

Overview

In this third lesson of Mapping Data and Change, students build on their understanding of maps and measurement by interpreting symbols, legends and simple scales. They measure distances on a map, calculate real-world distances and explain how a scale represents a much larger physical space.

Learning intentions

• WALT interpret common map symbols and use a legend.
• WALT explain what a simple map scale means.
• WALT calculate real distances from map measurements.
• WALT communicate how maps represent the physical world.

Success criteria

• I can use a legend to identify features on a map.
• I can explain a scale such as 1 cm represents 1 km.
• I can measure a map distance accurately and calculate the real distance.
• I can explain why a map needs a scale.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking and problem-solving challenges for Year 4–8 learners.
• Mathematics and Statistics — Mathsteasers / Alignment: applying mathematical ideas to relevant, connected contexts.
• Mathematics and Statistics — Mathsteasers: additional resources for advanced learners.
• Measurement, spatial reasoning and mathematical communication through interpreting representations and explaining reasoning.

Lesson structure (45 minutes)

1. 0–5 min · Hook and notice. Teacher displays a map showing a short route and asks, “How could we work out the real distance without walking it?” using the opening map mystery slide. Students make an estimate, discuss what information they would need and share ideas with a partner.

2. 5–13 min · Symbols and legends. Teacher uses the map symbols and legend slides to introduce a legend as a map key, modelling how to match symbols with features such as roads, rivers, parks and buildings. Students identify symbols on the displayed map and explain how the legend helps the reader.

3. 13–22 min · Teach scale. Teacher models a simple scale, for example, “1 cm on the map represents 1 km in real life”. Measure a 4 cm route and think aloud: 4 × 1 km = 4 km. Then model a scale of “1 cm represents 2 km”, highlighting that the map measurement must be multiplied by 2. Students solve two examples on mini-whiteboards and explain the operation used.

4. 22–35 min · Paired map investigation. Teacher distributes the maps and scale investigation worksheet to pairs and reminds students to measure from the centre of each location or along the marked route. Students use the legends, rulers and stated scales to identify features, measure routes, calculate real distances and record their working. They compare answers with another pair and check whether their answers are reasonable.

5. 35–41 min · Reasoning discussion. Teacher returns to the investigation discussion slides and presents two possible answers for one route, including one with an incorrect scale calculation. Students decide which answer is correct, justify their decision and explain how changing the scale changes the represented distance.

6. 41–45 min · Exit check and recap. Teacher displays the final reflection slide and asks students to complete the final question on their worksheet: “A map route is 6 cm long. The scale is 1 cm = 3 km. What is the real distance, and how do you know?” Students submit their answer and share one sentence explaining the purpose of scale.

Resources

• the complete Maps and Scale slide deck
• the maps and scale investigation worksheet
• Rulers, one per student or pair
• Mini-whiteboards and pens
• Enlarged classroom map or projected map
• Calculators for selected students if required
• the Units Conversion Ladder as a reference for converting between kilometres and metres

Assessment

• Listen for accurate use of the terms symbol, legend, scale, map distance and real distance during partner discussion.
• Check mini-whiteboard responses for whether students multiply by the scale factor and include an appropriate unit.
• Use the worksheet and exit question to identify students who can calculate independently, explain their reasoning and recognise errors.

Differentiation

• Support students with a worked example kept visible, a ruler with clear centimetre markings and sentence starters such as “The legend shows…” and “The real distance is… because…”.
• Pair students strategically and provide a map with whole-centimetre measurements and a scale of 1 cm = 1 km before introducing larger scale factors.
• For students needing extension, ask them to design a second route with the same real distance using a different map scale, then explain how the map measurement changes.
• For EAL learners and students requiring additional support, pre-teach the key terms with the displayed symbols, read worksheet instructions aloud and allow oral explanations or labelled diagrams instead of extended writing.