NCV 4 Mathematical Literacy Hands-On Support Slide Show - Module 4

Module 4: Space, Shape and Orientation

Module 4: Space, Shape and Orientation ,[object Object],[object Object],[object Object],[object Object]

Activity 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],141.3 Newtons gravity Newtons 882N 51.43m.s -1

2. PERFORM SPACE, SHAPE AND ORIENTATION CALCULATIONS ,[object Object],[object Object],[object Object],[object Object]

2.2 Perimeter calculations ,[object Object],[object Object],[object Object],[object Object]

2.3 Area calculations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Area of rectangles ,[object Object],[object Object],[object Object]

Activity 4 ,[object Object],[object Object],[object Object],[object Object],Perimeter of rectangle = 2(l+b) 468.82cm = 4.68m 6.614m 355.76m

Activity 4 ,[object Object],[object Object],[object Object],[object Object],1.29m 2 5.21m 2 6560.60m 2

Activity 4 ,[object Object],[object Object],[object Object],[object Object],Perimeter=  d or 2  r 787.9cm 8083.57cm 3904.37cm

Activity 4 ,[object Object],[object Object],[object Object],[object Object],Area of circle =  r 2 49402.04 cm2 = 4.94m 2 5.20m 2 121.31m 2

2.4 Volume calculations ,[object Object]

Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

2.5 Total external surface area

Activity 5 ,[object Object],[object Object],[object Object],[object Object],6.90m 2 0.209m 2 2.1824m 2

Activity 5 ,[object Object],[object Object],[object Object]

Activity 6 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 7 ,[object Object],Length of base = 12m, breadth of base =9,2m height = 520cm SA (rectangle) = 2lb + 2la + 2ab = 2(12)(9.2) + 2(12)(5.2) + 2(5.2)(9.2) = 441.28m 2

Activity 7 ,[object Object],Sides of triangle all = 150cm; altitude of prism = 260cm Triangle height = By Pythagoras: hypotenuse = 1.5; base = 0.75, height =  (1.5 2 –0.75 2 ) =  1.6875 = 1.30cm SA (Equilateral triangle prism) = 2(1/2 base x height) + 3(ba) = 13.65m2

Activity 7 ,[object Object],Radius of circle = 100cm , altitude of prism = 3m , = 3,1415. Cylinder = 2  r 2 + 2  rh = 2  r(r+h) = 25.132m 2

Activity 7 ,[object Object],[object Object],[object Object],Volume = lbh = 5m x 2m x 3m = 30m 3 SA = 2(lb) + 2(lh) + 2(bh) = 2(5)(2) + 2(5)(3) + 2(2)(3) = 62cm 2 Volume of a cylinder =  r 2 h =  (1.80566) 2 (5.3) =54.28m 2 Surface area =2  r(r+h) =2  (1.80566)(1.80566+5.3) =80.62m 2

Activity 7 ,[object Object],[object Object],[object Object],Volume =  r 2 h Volume (pipe 1) =  (0.18) 2 (19.25 ) = 1.96m 2 Volume (pipe 2) =  (0.065) 2 (19.25) = 1.96m 2 =0.26m 2

Activity 7 ,[object Object],Number of bottles = (Wine to be bottled) / Size of bottles = 10 000 / 0.75 = 13 333 bottles

Activity 8 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

2.6 Cones and spheres ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 9 – Make a cone ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 10 ,[object Object],[object Object],[object Object],[object Object]

Activity 10 ,[object Object],Volume =  r 2 h Volume (pipe) =  (5) 2 (100) = 7852m 3 Amount of water passing through pipe = 1m.s -1 x 60 = 60m Volume =  (0.05) 2 (60) = 0.4712m 3 =471.2 litres Volume of tank =  r 2 h =  (2) 2 (3) =37.70 m 3 Time taken = 37.70 / 0.4712 = 80 minutes

Activity 10 ,[object Object],0.75 miles = 1.207km 25 feet = 7.62m Volume =  (7.62) 2 (1207) = 28 894m 3 Truck loads = 28 894 / 25 = 1156 trucks

Activity 10 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 10 ,[object Object],Double the amount

Activity 11 ,[object Object],3h40 15 min 3h25 No Yes 29,72km/h 31.90km/h 44,49km/h 1h13

3. READ, INTERPRET AND USE REPRESENTATIONS TO SOLVE PROBLEMS IN THE WORKPLACE AND OTHER AREAS OF RESPONSIBILITY ,[object Object],[object Object],[object Object],[object Object],[object Object]

Maps ,[object Object],[object Object]

Direction in four compass directions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

135  35  180  270  250  310  35 

Activity 11 ,[object Object],[object Object],[object Object],65  135  Scale factor: 10mm:100km 10mm:100000000mm 1:10000000

Activity 12 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Case study 1 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Case Study 1 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

4.3 Rough sketches and final plans/sketches ,[object Object],[object Object],[object Object]

Definitions ,[object Object],[object Object]

Activity 15 ,[object Object],[object Object]

Activity 15 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 17: Isometric drawing ,[object Object],[object Object],[object Object]

Case study 2: Orthographic sketch of the hen house ,[object Object],[object Object],[object Object]

Case study 2: Orthographic sketch of the hen house ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 18 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Summative assessment ,[object Object],[object Object],[object Object],[object Object],[object Object]

Summative assessment ,[object Object],[object Object],[object Object]

Summative assessment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

NCV 4 Mathematical Literacy Hands-On Support Slide Show - Module 4

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NCV 4 Mathematical Literacy Hands-On Support Slide Show - Module 4