Scale and Distance Geography Notes

Geography Course Information and Context

  • Institution: Venberg Senior High School

  • Department: Humanities and Social Sciences

  • Subject: Geography (Year 8)

  • Topic: Scale and Distance

  • Associated Reference Points:     * 10 Gray Peak     * Mt Marcy: 21,30021,300     * Data Points: 44, 1,2001,200, 14,40014,400     * Region: TIO Range

Learning Objectives and Success Criteria

  • Overarching Goals:     * Convert scales effectively to calculate speed, time, and distance.     * Identify various relief features on a map.     * Apply mapping skills specifically to topographic maps.

  • Success Criteria: Students must demonstrate the ability to accurately apply mapping skills to an ATAR broadsheet.

Concept Development: Map Scale

  • Definition: Maps are physically small compared to the geographical areas they depict. Consequently, scale is the tool used to shrink the real world so it fits onto a piece of paper.

  • Variability: The specific scale of a map is determined by the size of the real-world area being shown and the physical dimensions of the map surface.

  • The Three Types of Scales:     * Written Scale (Verbal Scale): This provides a text-based description of how a map distance translates to ground distance.         * Example: "One centimetre represents thirty kilometres."     * Linear Scale: This is a numbered line that functions as a ruler on the map.         * Example: If 1cm1\,\text{cm} on this line is labeled as 30km30\,\text{km}, it indicates the ground distance.     * Ratio Scale (Representative Fraction): This expresses the scale in pure numbers without specific units.         * Example: 1:3,000,0001:3,000,000.         * Explanation: This signifies that 1unit1\,\text{unit} on the map equals 3,000,0003,000,000 of the same units on the ground. For instance, 1cm1\,\text{cm} on the map represents 3,000,000cm3,000,000\,\text{cm}. Since 3,000,000cm=30km3,000,000\,\text{cm} = 30\,\text{km}, it matches the previous examples.

Skill Development: Measurement Conversions

  • The standard output for map distance responses is kilometres (km\text{km}).

  • Maps may provide scales in centimetres (cm\text{cm}) or metres (m\text{m}), requiring conversion skills.

  • Conversion Metrics:     * 1kilometre(km)=1000metres(m)1\,\text{kilometre} (km) = 1000\,\text{metres} (m)     * 1metre(m)=100centimetres(cm)1\,\text{metre} (m) = 100\,\text{centimetres} (cm)

  • Conversion Process:     * To go from km\text{km} to cm\text{cm}: Multiply by 1,0001,000 (kmm\text{km} \rightarrow \text{m}), then multiply by 100100 (mcm\text{m} \rightarrow \text{cm}).     * To go from cm\text{cm} to km\text{km}: Divide by 100100 (to reach m\text{m}), then divide by 1,0001,000 (to reach km\text{km}).

Differentiation: Large-Scale and Small-Scale Maps

  • General Rule: The larger the scale, the higher the level of detail provided.

  • Large-Scale Maps: Show small areas in great detail.     * Example: A map of a school on A4 paper.     * Values: Scale of 1cm=5m1\,\text{cm} = 5\,\text{m} (Ratio 1:5001:500).

  • Small-Scale Maps: Show large areas with very little detail.     * Example: A map of Australia on A4 paper.     * Values: Scale of 1cm=150km1\,\text{cm} = 150\,\text{km} (Ratio 1:15,000,0001:15,000,000).

  • The Ratio Rule: Remember that the larger the ratio number, the smaller the scale of the map.

  • Visual Examples of Scale Variation (Atlanta Case Study):     * Small Scale: 1cm=940km1\,\text{cm} = 940\,\text{km} (Ratio 1:94,000,0001:94,000,000). Shows the whole Southeast US/North Mexico.     * Mid-Small Scale: 1cm=370km1\,\text{cm} = 370\,\text{km} (Ratio 1:37,000,0001:37,000,000). Shows regional context.     * Mid-Large Scale: 1cm=160km1\,\text{cm} = 160\,\text{km} (Ratio 1:16,000,0001:16,000,000). Shows state-level detail.     * Large Scale: 1cm=13km1\,\text{cm} = 13\,\text{km} (Ratio 1:1,300,0001:1,300,000). Shows city-level detail including local neighborhoods like Smyrna, Chamblee, Tucker, Mableton, Stone Mountain, Panthersville, and Forest Park.

Skill Development: Calculating Straight-Line Distance

  • Definition: Also known as calculating distance "as the crow flies."

  • Procedure:     1. Use a ruler or the edge of a straight piece of paper to mark the distance between two points (e.g., a church icon and a triangle icon).     2. Place the paper/ruler against the linear scale at the bottom of the map.     3. Read the real-life distance based on where the marks align with the scale numbers.

  • Guided Practice (Bunbury Topographic Map):     * Measure distance: Myalup (AR9703\text{AR9703}) to Marbalup (AR9802\text{AR9802}).     * Measure distance: Western Titanium Siding (AR9698\text{AR9698}) to Ferguson Hill (AR9999\text{AR9999}).     * Measure distance: Worsley (AR0001\text{AR0001}) to Benger (AR9902\text{AR9902}).

  • Further Practice (Anglesea Topo Map - Skills in Geography, pg. 99):     * Measure distance: Mount Ingoldsby (AR5144\text{AR5144}) and Point Light Station (AR4738\text{AR4738}).     * Measure distance: Lookout (AR5344\text{AR5344}) and Scrubby Hill (AR5547\text{AR5547}).     * Measure distance: Point Roadknight (AR5442\text{AR5442}) and Police Station (AR5445\text{AR5445}).

Skill Development: Calculating Curved-Line Distance

  • Definition: Necessary for measuring actual travel distance along roads or footpaths, which rarely follow a straight line.

  • Procedure:     1. Use a piece of string or the edge of a piece of paper.     2. Follow the curves and corners of the path, marking the paper and pivoting it incrementally as the path changes direction.     3. This effectively converts a complex curve into a series of very short, interconnected straight lines.     4. Once the entire path is marked, lay the string or paper against the map's linear scale to determine the total real-world distance.

  • Guided Practice (Bunbury Topographic Map):     * Measure distance: Coalfields Road (AR0001\text{AR0001}).     * Measure distance: Boyanup Road West from GR982994\text{GR982994} to GR969996\text{GR969996}.     * Measure distance: Leschenault Peninsula starting from Point Douro (GR976014\text{GR976014}).