4.18 Another type of data

Mathematics

More geometry, data handling and probability

Educator section

Memorandum

16.2

16.3 (1,1) (1,2) (1,3) (1,4) (1,5) (2,5) (2,4) (2,3) (3,3) (3,4) (3,5) (3,6)

(3,7) (4,7) (5,7) (6,7) (6,6) (7,6) (8,6) (8,5) (8,4) (8,3) (8,2) (8,1)

(9,1) (9,2) (9,3) (9,4) (9,5) (9,6) (9,7) (9,8) (8,8) (7,8) (7,9) (8,9)

(9,9) (9,10)

17.2

(a) 50, 7N

(b) 10, 2S

(c) 30, 5S

(d) 70, 5N

(e) 4W, 1N

(f) 5W, 3S

(g) 3W, 6N

(h) 10, 2N

19.

(a) 343

(b) 200

(c) 270 000

(d) 1 600 000

(e) 100

(f) 164

(g) 83

(h) 0

(i) 90

(j) 150

(k) 30

(l) R148

(m) 13

(n) 81

(o) 28

Leaner section

Content

Activity: another type of data [lo 3.8, lo 5.9, lo 1.8]

16. ANOTHER TYPE OF DATA

16.1 Did you know?

We can collect data or find information by plotting given co-ordinates on a grid.

Look carefully at the example.

The dot (l) is at (4,7).

The 4 indicates the horizontal number and the 7 indicates the vertical number.

16.2 Plot the following on the island.

16.3 Write down the co-ordinates for the route that a group of learners followed during a recent fun-run.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

16.4 CHALLENGE!

• Write your own secret message. Give the co-ordinates to a friend to decipher your message.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

• Let your friend write your message here:

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

17. Did you know?

17.1 Sometimes co-ordinates are combined with compass directions to find a certain place

You find the airport at 3W; 3N. (W = West; N = North)

17.2 Where will you find the following places?

a) Zoo ___________________________________________________________

b) Library ________________________________________________________

c) Shopping centre _________________________________________________

d) Park __________________________________________________________

e) Bus stop _______________________________________________________

f) Public swimming pool ____________________________________________

g) Station _________________________________________________________

h) Golf course _____________________________________________________

18. Time for self-assessment

19. Let us see if you can get full marks for your last mental! Try to answer all the questions in less than 2 minutes!

a) 7³ = __________________________

b) 5² x 2³ = __________________________

c) 3³ x 10 ⁴ = __________________________

d) 2 ⁴ x 10 ⁵ = __________________________

e) (4 x 7) ÷ (8 x 9) = __________________________

f) (12 x 9) ÷ (7 x 8) = __________________________

g) 16 ÷ 6 x 8 ÷ 19 = __________________________

h) (2 x 8 x 5 x 4 x 7) x 0 = __________________________

i) = __________________________

j) of 200 = __________________________

k) 0,3 = __________________________%

l) 25% of R592 = __________________________

m) (72 ÷ 9) ÷ (45 ÷ 9) = __________________________

n) (63 ÷ 7) x (54 ÷ 6) = __________________________

o) 92 – 9 x 4 – 28 = __________________________

Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.8: We know this when the learner performs mental calculations involving squares of natural numbers to at least 10 ^² and cubes of natural numbers to at least 5 ^³ .

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.8: We know this when the learner locates positions on co-ordinate systems (ordered grids) and maps.

Learning Outcome 5: The learner will be able to collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.

Assessment Standard 5.9: We know this when the learner critically reads and interprets data presented in a variety of ways to draw conclusions and make predictions sensitive.