MATHEMATICAL LITERACY GRADE 11 CAPS TOPIC 4 Maps

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MATHEMATICAL LITERACY GRADE 11 CAPS TOPIC 4: Maps, plans and other representations of the

MATHEMATICAL LITERACY GRADE 11 CAPS TOPIC 4: Maps, plans and other representations of the physical world Section 4. 2: Maps

Topic 4: Maps, plans and other representations of the physical world The following sections

Topic 4: Maps, plans and other representations of the physical world The following sections will be covered: 4. 1. Scale 4. 2. Maps 4. 3. Models 4. 4. Plans (floor, elevation and design plans)

Maps In Section 4. 2, learners will be able to: § Work with the

Maps In Section 4. 2, learners will be able to: § Work with the following maps: street maps, national and provincial road and rail maps, strip charts, elevation maps and residential maps. § Describe the position of an object in relation to the surrounding objects § Describe the position of a building in relation to surrounding buildings § Find locations, follow directions and develop directions for travelling

Maps We use words like “opposite”, “next to”, “between”, “behind”, “left”, “right”, “along”, “straight”,

Maps We use words like “opposite”, “next to”, “between”, “behind”, “left”, “right”, “along”, “straight”, “up”, “down”, “around”, and “past”, to indicate location and directions.

Maps

Maps

Example: 1 Use the layout of a small rural school in the previous slide

Example: 1 Use the layout of a small rural school in the previous slide to answer the following questions: 1. Describe the location of classroom 5. 2. Describe the surroundings of classroom 5. 3. Direct a learner from classroom 1 to the girls’ toilet. 4. Where will you end up if you walk from entrance B, past the office, turn left and walk straight. 5. Which room lie closest to entrance E?

Solutions: Example 1 1. Classroom 5 lies directly opposite entrance B. 2. Classroom 5

Solutions: Example 1 1. Classroom 5 lies directly opposite entrance B. 2. Classroom 5 lies between classroom 4 and classroom 6. 3. Walk to the end of the corridor, turn right and walk straight. 4. Boys’ toilet. 5. Classroom 3 classroom 4.

Street Maps Street maps show the location of streets and important landmarks in a

Street Maps Street maps show the location of streets and important landmarks in a town.

Example: 2 Figure 4 in the next slide show the street map of Mthatha

Example: 2 Figure 4 in the next slide show the street map of Mthatha without a grid reference

Fig. 4 Mthata Map

Fig. 4 Mthata Map

Example: 2 Use the previous slide to answer the following questions: 1. Describe the

Example: 2 Use the previous slide to answer the following questions: 1. Describe the location of the Nelson Mandela Museum. 2. Direct a person from the Nelson Mandela Museum to the Post Office. 3. Estimate the distance in kilometres from St Joseph’s Secondary School to the Nelson Mandela Museum. 4. A group of learners take 20 minutes to walk from St Joseph’s Secondary School to the Nelson Mandela Miseum. Estimate thei average speed in km/h. 5. On which National Road do we have Nelson Mandela Drive?

Solutions Example: 2 �

Solutions Example: 2 �

Grid Reference System Grid reference is one of the ways of locating a place

Grid Reference System Grid reference is one of the ways of locating a place or structure in a map or plan. Example: Using the figure below: the grid reference for Ice Cream is D 1 and for the Classic Coke is in C 3.

Activity: 2 Use Figure 4 in the previous slide to answer the following questions:

Activity: 2 Use Figure 4 in the previous slide to answer the following questions: 1. Give the grid reference for Dundee. 2. Give the grid reference for Mphumalanga. 3. In which general direction are you travelling if you travel from Mkhuze to Manzini? 4. In which general direction are you travelling if you travel from Piet Retief to Jozini?

Solutions: Activity 2 1. 2. 3. 4. C 1 B 1 North West (NW)

Solutions: Activity 2 1. 2. 3. 4. C 1 B 1 North West (NW) direction South East (SE) direction

Elevation Maps Elevation maps show heights and distances for particular structures and see figure

Elevation Maps Elevation maps show heights and distances for particular structures and see figure 6 as an example.

Activity: 3 Use figure 6 in the previous slide to answer the following questions:

Activity: 3 Use figure 6 in the previous slide to answer the following questions: 1. What is the height of the highest point of Ashburton above sea level? 2. Approximately how far is Ashburton from Durban? 3. Approximately how far is Ashburton from Pietermaritzburg?

Solutions: Activity 3 1. The highest point is 700 m above sea level. 2.

Solutions: Activity 3 1. The highest point is 700 m above sea level. 2. The distance from Ashburton to Durban is approximately 78 km. 3. The distance from Ashburton to Pietermaritzburg = = 87, 3 km – 78 km = 9, 3 km

Residential Maps The layout of sites for houses in residential settlements or housing estates

Residential Maps The layout of sites for houses in residential settlements or housing estates can be represented by maps. See example of a residential map in next slide.

Formal Assessment Question 1 1. Use the profile map of the Comrades Marathon’s downhill

Formal Assessment Question 1 1. Use the profile map of the Comrades Marathon’s downhill run to answer the following questions:

Formal Assessment Question 1 1 (a) What is the distance of the race? (b)

Formal Assessment Question 1 1 (a) What is the distance of the race? (b) What is the distance from Camperdown to Drummond? (c) When Bruce Fordyce won the downhill race in 1986 with a record time of 05: 24: 07, his average speed for the entire race was 274, 6 m/min. How many minutes, on average, would it take him to run the distance from your answer in question 2? (d) On the downhill run, where is the steepest uphill slope? (e) On the downhill run, where is the downhill slope?

Formal Assessment Question 2 Study the map of Groseillers Estate Housing , figure 9,

Formal Assessment Question 2 Study the map of Groseillers Estate Housing , figure 9, in previous slide to answer the following questions: 2. (a) Note roads 1, 2 and 3 of Groseillers Estate in figure 9 in the previous slide. To which road would you say site number (i) 31 (ii) 5 belong? (b) Give a clear direction to a stranger visiting site number 31 of the estate as he enters through road 1. (c) Describe the route you would follow from site number 31 to site number 29.

Solutions: Formal Assessment 1 (a) 90 km (b) Approximately 20 km (c) 164, 14

Solutions: Formal Assessment 1 (a) 90 km (b) Approximately 20 km (c) 164, 14 minutes (d) Just after Botha’s Hill (e) Just after the uphill, Botha’s Hill, after the 50 km mark. 2. (a) (i) site 31 belong to Road 3 (ii) site 5 belong to Road 1 (b) The stranger must walk along Road 1 past Road 2 on the right until he gets left turn into Road 3. He must continue along Road 3 that bends onto the right until the entrance into site 31 on the right.

Solutions: Formal Assessment (c) Get out of site number 31 into road 3 and

Solutions: Formal Assessment (c) Get out of site number 31 into road 3 and turn right into Road 3. Continue to walk along Road 3 until you come to Road 1. Turn right into Road 1 and walk until you see number 29 site entrance on your right.