Mathematical Literacy Level 3 Module 7

Mathematical Literacy NQF 3 Downloaded from hlayiso.com Maths Lit NQF Level 3

Read, interpret and use representations to make sense of and solve problems in workplace contexts Module 7 Downloaded from hlayiso.com Maths Lit NQF Level 3

Overview 7.1 Recognising representation concepts 7.2 Recognise symbols and notations used on plans 7.3 Working with scale 7.4 Using road, street and route maps 7.5 Plans to determine quantities of material needed 7.6 Interpreting instructions and assembly diagrams Downloaded from hlayiso.com Maths Lit NQF Level 3

Recognising representation concepts Unit 7.1 Diagram A diagram is a simplified drawing which provides information about the appearance and workings of a system or object. Map A map is a visual representation of an area using symbols to identify significant places. Plans Plans are a set of diagrams to describe a place or object, or to communicate building or production instructions. Downloaded from hlayiso.com Maths Lit NQF Level 3

Recognising representation concepts Unit 7.1 • Maps and plans are often drawn on grids that use line and block references. • The reference of a location identifies the horizontal position first and then the vertical position. Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.1 page 117 Unit 7.1 Look at the street map and answer the questions. 1. Which streets cross in block A1? 2. Name three blocks through which the Blue River runs. 3. In which block do Rose Avenue and Second Street cross each other? 4. In which block do Third Street and Pine Avenue cross? 5. What feature do you see in block D4? Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.1 page 117 Unit 7.1 3 5 1. Fourth Street and Rose Avenue 2 2. D1, D2 and E3 3. B4 2 4. D1 5. Luthuli Park 1 2 4 Downloaded from hlayiso.com Maths Lit NQF Level 3

Floor plans Unit 7.1 • The floor plan of a building is drawn from the top, showing the inside plan. • This view shows how the building will be divided up. • It shows where the walls, doors, windows, toilets, kitchen, etc will be. Downloaded from hlayiso.com Maths Lit NQF Level 3

Floor plans Unit 7.1 • Floor plans are drawn to scale. So the measurements on the plan are in proportion to the actual measurements. • The scale on a floor plan for a house is usually about 1 : 50 or 1 : 100. • For 1 : 50, 1 cm on the plan represents 0,5 m. • For 1 : 100, 1 cm on the plan represents 1 m. Downloaded from hlayiso.com Maths Lit NQF Level 3

Elevations Unit 7.1 • An elevation shows the front, back or side view of a building. • Here is a building, with its elevations. Downloaded from hlayiso.com Maths Lit NQF Level 3

Scale, scale drawings and distance Unit 7.1 • Maps and plans are drawn to scale to represent distances accurately. • The distances on the map are proportional to the actual distances. • A map of the world could be on a scale of 1 : 50 000 000 • Travel maps usually use scales of 1 : 125 000 or 1 : 50 000. • Street maps are usually 1 : 10 000 • Floor plans for buildings often use scales of 1 : 50 or 1 : 100. Downloaded from hlayiso.com Maths Lit NQF Level 3

Giving directions Unit 7.1 • You need a starting point to direct from. Cafe • Use words like: left, right, up, down, sideways, across, north, south, east or west. • Keep the route simple, especially if the person who needs directions does not know the area. • Tell them where to turn, using a School direction and a street name. Landmarks, traffic lights, names of shops are also useful. • Tell them how long or how far to go Current Position along each road, using number of blocks, landmarks and other helpful information. Drive straight up this • Tell them which side of the street to road. find their destination. Downloaded from hlayiso.com Maths Lit NQF Level 3

Giving directions Unit 7.1 • You need a starting point to direct from. Cafe • Use words like: left, right, up, down, sideways, across, north, south, east or west. • Keep the route simple, especially if the person who needs directions does not know the area. • Tell them where to turn, using a School direction and a street name. Landmarks, traffic lights, names of shops are also useful. • Tell them how long or how far to go Current Position along each road, using number of blocks, landmarks and other helpful information. Turn left at the first • Tell them which side of the street to stop sign. find their destination. Downloaded from hlayiso.com Maths Lit NQF Level 3

Giving directions Unit 7.1 • You need a starting point to direct from. Cafe • Use words like: left, right, up, down, sideways, across, north, south, east or west. • Keep the route simple, especially if the person who needs directions does not know the area. • Tell them where to turn, using a School direction and a street name. Landmarks, traffic lights, names of shops are also useful. • Tell them how long or how far to go Current Position along each road, using number of blocks, landmarks and other helpful information. Turn right at the stop sign at the • Tell them which side of the street to school. find their destination. Downloaded from hlayiso.com Maths Lit NQF Level 3

Giving directions Unit 7.1 • You need a starting point to direct from. Cafe • Use words like: left, right, up, down, sideways, across, north, south, east or west. • Keep the route simple, especially if the person who needs directions does not know the area. • Tell them where to turn, using a School direction and a street name. Landmarks, traffic lights, names of shops are also useful. • Tell them how long or how far to go Current Position along each road, using number of blocks, landmarks and other helpful information. Drive straight up the road until the • Tell them which side of the street to café is in view. find their destination. Downloaded from hlayiso.com Maths Lit NQF Level 3

Compass directions Unit 7.1 • We use the direction north as a reference point. • Maps should always show north at the top of the map with an arrow. • We use a compass to read direction. • The 8 main (cardinal) points are north (N) south (S) east (E) west (W) • The directions between these are north-east (NE); south-east (SE); north-west (NW); south-west (SW) Downloaded from hlayiso.com Maths Lit NQF Level 3

Compass directions Unit 7.1 • Between these 8 points, we can also identify: north-north-east (NNE) east-north-east (ENE) east-south-east (ESE) south-south-east (SSE) south-south-west (SSW) west-south-west (WSW) west-north-west (WNW) north-north-west (NNW) Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.3 page 121 Unit 7.1 Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.3 page 121 Unit 7.1 1. Which ocean lies to the west and which to the east of the country? 2. What is the direction of Prieska from Cape Town? 3. What is the direction of Prieska from Port Elizabeth? 4. What is the direction of Umtata from Pietermaritzburg? 5. What is the direction of Mafikeng from Johannesburg? 6. What is the direction of Musina from Bloemfontein? Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.3 page 121 Unit 7.1 1. Atlantic Ocean to the west. Indian Ocean to the east. 2. North-east 3. North-west 4. South-west 5. West-north-west 6. North-north-east Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 7.1 Unit 7.1 Complete Exercise 7.1 on page 122 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Recognise symbols and notations used Unit 7.2 on plans wall toilet window single door sink The arc shows the path that must be kept clear for the stove door to open. double door The two arcs show how the double bed doors will meet when closed and the path followed when chair the doors open. Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.4 page 124 Unit 7.2 Name the symbols in this floor plan. Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.4 page 124 Unit 7.2 Doors Window Sink Dishwasher Stove Fridge Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 7.2 Unit 7.2 Complete Exercise 7.2 on page 125 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Working with scale Unit 7.3 Using scale to calculate actual distances • Scale is written as a ratio length in image : actual length or as a fraction length in image actual length • To work out the scale, we can work out what 1 cm on the map represents. • A scale of 1 : 50 000 means that 1 cm on the map is 50 000 cm on the ground. • Convert 50 000 cm to kilometres: 50 000 cm = 500 m = 0,5 km • So 1 cm on the map represents 0,5 km on the ground. Downloaded from hlayiso.com Maths Lit NQF Level 3

Working with scale Unit 7.3 Calculating measurements on a map from actual distances • Convert the actual measurement on the ground to centimetres. • Divide by the scale factor. > Example 7.6 page 127 no 1 A map has a scale of 1 : 50 000. You want to walk 4,5 km in real life. Calculate the length of the route on the map. Downloaded from hlayiso.com Maths Lit NQF Level 3

Working with scale Unit 7.3 > Example 7.6 page 127 no 1 • Convert: 4,5 km = 4 500 m = 450 000 cm • Divide by the scale factor 450 000 ÷ 50 000 = 9 cm • So 4,5 km is 9 cm on the map. Downloaded from hlayiso.com Maths Lit NQF Level 3

Working with scale Unit 7.3 Calculating the scale of a map, plan or model 1 Find the ratio between the real distance and the distance on the map. 2 Write the plan or map unit first in the ratio. 3 Convert both units to centimetres. 4 Divide by any common factors and get the first number to 1. 5 Write the ratio without units. Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.7 page 127 Unit 7.3 1. If a door on a model house is 3 cm high and it is 2 m in reality, what is the scale of the model? Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.7 page 127 Unit 7.3 1. Convert both measurements to cm, so 2 m = 200 cm. 200 3 cm : 200 cm = 1 : 3 Scale is 1 : 67 Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 7.3 Unit 7.3 Complete Exercise 7.3 on page 129 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Using road, street and route maps Unit 7.4 • Maps with different scales are needed for different purposes. • For a long distance journey, a large scale map is useful. • To find your way around a town or city, a smaller scale map is more useful. Downloaded from hlayiso.com Maths Lit NQF Level 3

Using road, street and route maps Unit 7.4 Planning a trip using a road map (map on next slide): • This example is a trip from Kimberley to Beaufort West. • On the national map, use the bar scale to estimate the distance. • On the scale, 3 cm represents 200 km. • Kimberley to Beaufort West is about 6 cm. It is about 400 km. • The journey is roughly in a south-west direction. Downloaded from hlayiso.com Maths Lit NQF Level 3

Using road, street and route maps Unit 7.4 Downloaded from hlayiso.com Maths Lit NQF Level 3

Planning a trip using a road map Unit 7.4 Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 7.4 Unit 7.4 Complete Exercise 7.4 on page 131 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 7.5 Unit 7.4 Complete Exercise 7.5 on page 133 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Plans to determine quantities of materials Unit 7.5 needed • Builders use house plans to estimate the quantities of materials needed. • The dimensions shown on plans allow you to calculate lengths and areas. Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 7.6 Unit 7.5 Complete Exercise 7.6 on page 136 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Interpreting instructions and assembly Unit 7.6 diagrams • Assembly diagrams and instructions provide step-by-step directions for putting together an object or system from its parts. • An exploded view drawing shows how the parts fit together. • The parts in the centre are usually assembled first. Downloaded from hlayiso.com Maths Lit NQF Level 3

Interpreting instructions and assembly Unit 7.6 diagrams • If you are taking something apart using the diagram, you usually remove the outside parts first. • Exploded view diagrams are often used in instruction manuals and show part identification numbers and labels. Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.9 page 139 Unit 7.6 a) What kind of diagram is this? Explain. b) How many parts are there altogether? c) In which order would you assemble the parts? Write in a list form. d) In what way are the parts labelled? How could this be useful for the consumer? What is the scale of the model? Downloaded from hlayiso.com Maths Lit NQF Level 3

Example 7.9 page 139 Unit 7.6 • This is an exploded view of a kettle. Each part is shown in the position where it would be assembled. • There are 10 parts, labelled as A01 to A10. • The labels help the consumer find and identify the parts in the instruction manual, independent of the language used. You can also refer to them for ordering spare parts. • You would assemble the inner parts first and the outer parts last. Downloaded from hlayiso.com Maths Lit NQF Level 3

Exercise 7.7 Unit 7.6 Complete Exercise 7.7 on page 140 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

Module assessment Module 7 Complete Module assessment on page 144 of your Student’s Book Downloaded from hlayiso.com Maths Lit NQF Level 3

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