LESSON 6 MAP READING MEASURING DISTANCES ON MAPS Reference: Aids: Manual of Map Reading and Land Navigation 1. Slide 6/1 to 6/7. Place of Work: 2. 1:50,000 map sheet per student. Classroom 3. Pencil, paper and ruler per student. Student Dress: Administration: Working Dress 1. Read the Instructors Notes before the lesson. Equipment: 2. ........................................................... 3. ........................................................... 4. ........................................................... 5. ........................................................... Projector and Screen Time Allowed: 40 Minutes 6-1 BEGINNING OF LESSON STAGE Revision CONTENT If two points are 4km apart on the ground, what is the distance between the same two points on a 1:50,000 map? ANSWER: 8cm If two points are 6cm apart on the map, how far apart are the same two points on the ground? ANSWER: 3km Where are the scale lines shown on M726 maps? ANSWER: In the centre at the bottom of the map. Aim The aim of this lesson is to teach you how to estimate and measure distances on maps. Objectives By the end of this lesson students will be able to: 1. Estimate straight line distances on maps. 2. Measure both straight line and indirect distances on maps using the paper strip method. 3. Use the map scale line. Reasons Why You need to be able to measure distances on maps to help work out timings for troop movements. Incentive You do not want to move to a new location and miss an RV because you have miscalculated the distance. If you are siting support weapons you will want to be able to select defensive fire locations, and work out their range before any action takes place. 6-2 MIDDLE OF LESSON STRAIGHT LINE DISTANCE This is the shortest distance between two place on the map or ground. It is the “as the crow flies” distance. It can be easily measured on the map, but takes no account of the rise and fall of the ground along the line. ESTIMATING STRAIGHT LINE DISTANCES If a straight line distance is nearly North to South, or nearly East to West it can be compared to the nearest grid lines. Each pair of grid lines are two centimetres apart and represent one kilometre. SLIDE 6/1 If the line to be measured is roughly diagonal to the grid, you can estimate the distance because each diagonal is just under 1.5km. (Confirm this before continuing). Note: If you carefully measure 3 diagonal squares, it is not exactly 4.5km but a little less. THE SERIES M726 The scale lines on Series M726 are known as party divided. SCALE LINE The first kilometre is divided into tenths of a kilometre and its righthand end is the zero mark. To the right of the zero are the main kilometre divisions. SLIDE 6/2 EXPLAIN that to measure a line to the nearest tenth of a kilometre, the right-hand end of the line should be set on a whole division, so that the other end falls somewhere in the first division against the tenths of a kilometre. The total distance is found by reading the whole divisions and adding the tenths measured in the first division from right to left. SLIDE 6/3 When using Series M726 care must be taken to use the correct scale line, because there are the following three scale lines shown on the map: Kilometres, Statute miles and Nautical miles. MEASURING STRAIGHT LINE DISTANCES BY PAPER (DIRECT DISTANCES) Straight line or direct distances can be measured with a piece of paper, by laying the edge of the paper between the two end points of the line on the map, and marking the ends on the paper with a pencil. SLIDE 6/6 The paper can then be laid along the scale line to obtain the ground distance. SLIDE 6/7 Demonstration Demonstrate measurement of straight line distances on a map using a paper strip. Include the use of the scale line. Any Questions Question from the class. Practise Practise the class in estimating and measuring straight line distances on their map. See Instructors Note 6-3 MEASURING INDIRECT DISTANCE BY PAPER When planning a route on roads or cross country it may be necessary to measure indirect distances along roads and tracks. This can be done by using the edge of a piece of paper as follows: With a pencil, mark the start point on the paper and place it on the start point on the map with the edge of the paper along the first part of the route. SLIDE 6/4 Where the route bends, hold the paper on the map with the point of a pencil and carefully pivot the paper until the paper and the next section of the route are in line. SLIDE 6/5 Carry on until the end of the route is reached and then measure the total distance between the two end pencil mark against the scale in the same way as you did with straight line distances. Demonstration Demonstrate measuring an indirect distance to the class, using a paper strip, map and pencil. Demonstrate measuring twice, once from each end of the route, as a check against mistakes. Any Questions Questions from the class. Confirmation Practise the class in measuring indirect distances on their map. See Instructors Note END OF LESSON Any Questions Questions from class on whole lesson. Test on the Whole Lesson Give the students a number of direct and indirect distance problems to work out on their own map. Make sure everyone starts and finishes on the same point of detail by giving six-figure grid references of the start and finish. See Instructors Note Carefully supervise the student's work. Pack Equipment Pass answer papers to the front. Hand in stores. Summary Look Forward You have been shown three methods of measuring distances: 1. “Eyeball” estimation using grid lines and diagonals for approximate results. 2. Measuring straight line distances with paper and pencil. 3. Measuring indirect distances along routes using paper and pencil. In the next Map Reading lesson you will learn about directions on the map and in the field. 6-4 INSTRUCTORS NOTES 1. Instructors must select a number of both straight line and indirect distances to be measured before starting the lesson. For each distance they must have the grid reference on the start and finish points and the checked distance. 2. For student testing, the accuracies are: Straight line + 200 metres Indirect line + 300 Metres (However, +100 metres and + 200 metres should be possible on the map - remembering that map drawing and scale are the largest factors in inaccuracies on the map.) 6-5