NCV 3 Mathematical Literacy Hands-On Support Slide Show - Module 3

Module 3: Patterns and relationships

Module 3: Patterns and relationships ,[object Object],[object Object],[object Object],[object Object]

1. IDENTIFY AND EXTEND PATTERNS FOR DIFFERENT RELATIONSHIPS IN THE WORKPLACE ,[object Object],[object Object],[object Object],[object Object]

Arithmetic patterns ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Arithmetic patterns ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Arithmetic patterns ,[object Object],[object Object],[object Object]

Activity 1 ,[object Object],[object Object],[object Object],0,65 x + 3,4 3,4 4,05 4,7 5,35 6 6,65 7,3

Activity 1 ,[object Object],[object Object],y = 3000 x R3000 6000 9000 12000 15000 18000 21000

Activity 1 ,[object Object],[object Object],Number of pounds times 14,1916

Geometric patterns ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Geometric patterns ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 2 ,[object Object],[object Object],[object Object],[object Object],0,3358; 0,3383; 0,3408; 0,3433; 0,3458; 0,3483; 0,3508 12 000 000; 12,5 million; 13 000 thousand; 0,014 billion; 1,35 x 10 7 10h37; 10h52; 11h07; 11h22; 11h37; 44h49

Case study ,[object Object],[object Object],[object Object],Each man contributes six working days. In other words, each man does one fifth of the work. One man will take 5 x 30 days to do the work, i.e. 150 days. Less time

Case study ,[object Object],[object Object],[object Object],[object Object],y = 150 ÷ x Ten days 30 men will complete the job in 5 days

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

Case study ,[object Object],[object Object],[object Object],x + 2 (x = number of 30second periods)

Case study ,[object Object],5606,29 6286,10 7048,34

Direct and inverse relationships ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Trends ,[object Object],[object Object],[object Object],[object Object]

Activity 3 ,[object Object],Inverse

1,67 Inverse Direct Direct 10 5 3,5 2,5

Activity 3 ,[object Object],[object Object],Constant ratio of more or less 30% for the 24 month option. However it is higher for the R10 000 loan at 35%. Calculation : 1087 x 24 = 26088; increase is 6088; increase percentage = 6088÷20000 = 30,44% For the 60 month option the percentage increase is 78% (once again it is higher for the smaller loan amount).

Activity 3 ,[object Object],The longer the payment time the smaller the monthly payment amount, i.e. an inverse relationship.

Activity 3 ,[object Object],It will cost 53280 – 30000 = R23280.

Activity 3 ,[object Object],23280 ÷30000 x 100 = 77,6%

Activity 3 ,[object Object],Negative: As the months increase the monthly payment amount decreases

Activity 3 ,[object Object],Within 12 months: the shorter the payment period, the smaller the cost of the loan.

Putting patterns into words and the other way around ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Putting patterns into words and the other way around ,[object Object],[object Object],[object Object],[object Object]

Activity 4 ,[object Object],[object Object]

Activity 4 ,[object Object],[object Object],[object Object],5 8 y=x/5 +8

Activity 4 ,[object Object],[object Object],3 2 y = 3 x - 2

Relationships ,[object Object],[object Object],[object Object],[object Object]

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

Activity 6 ,[object Object],[object Object],[object Object],If you earn less than R43 000, you don’t have to pay tax

Assignment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Assignment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Assignment ,[object Object],[object Object],[object Object]

2. IDENTIFY AND USE INFORMATION FROM DIFFERENT REPRESENTATIONS OF RELATIONSHIPS TO SOLVE PROBLEMS IN THE WORKPLACE ,[object Object],[object Object],[object Object]

Activity 7 ,[object Object],[object Object],[object Object],[object Object],Global sales of organic foods United States of America $11 000 000 000 $725 000 000

Activity 7 ,[object Object],[object Object],[object Object],[object Object],Japan Nine Rest of the world Sections too small

Activity 7 ,[object Object],[object Object],[object Object],[object Object],[object Object],Nokia Nokia Alcatel, Sagem, Panasonic, Siemens Percentage and it is not shown because it is very obviously from the axes which runs from zero to 90 78%

Activity 8 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],t = 24 ÷ 4 = 6 x = 1000 x 20 = 200 000 Volume = 897 cubic units Height = 1500 ÷ 15 = 100 48 = 2(15 + b) Therefore 24 = 15 + b Breadth = 9 units

Activity 9 ,[object Object],[object Object],[object Object],[object Object],SI = 3060 Speed = 16 km/h Area = 1963,49cm 2

Activity 9 ,[object Object],[object Object],[object Object],[object Object],157,08cm Volume = 1750 P = 200 units C = 99,999 degrees Fahrenheit

Activity 9 ,[object Object],[object Object],[object Object],[object Object],Speed = 600 km/h Circumference = 9,42477 m Degrees Celsius = 24,4

Activity 9 ,[object Object],[object Object],[object Object],[object Object],Total external surface area = 9424,77cm² Volume = 150m³ SI = R 240 Perimeter = 5700m

TRANSLATE BETWEEN DIFFERENT REPRESENTATIONS OF RELATIONSHIPS FOUND IN THE WORKPLACE ,[object Object],[object Object],[object Object]

Converting representations ,[object Object],[object Object],[object Object],[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],Annual hours worked per person Hours worked

Activity 10 ,[object Object],[object Object],War was imminent – no normal work was done then Years on the horizontal axis not evenly spread. No title to the graph

Selection of representations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Drawing a line graph ,[object Object],[object Object],[object Object],[object Object],[object Object]

Activity 11 ,[object Object],[object Object],[object Object],[object Object]

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

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]

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

Activity 12 ,[object Object],[object Object],[object Object],[object Object],A step by step function – It remains constant for a while and then steps up Quicker and easier

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

Large parcel rates (all prices shown in Rand)

Speed services counter to counter or to door – parcels (all prices shown in Rand)

Questions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Straight-line graphs

NCV 3 Mathematical Literacy Hands-On Support Slide Show - Module 3

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NCV 3 Mathematical Literacy Hands-On Support Slide Show - Module 3