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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

  • Tick the applicable block:
Yes Still Struggling
I was able to represent the information at 14.1 by means of a line graph.
I was able to draw the pie graph at 14.2.
I was able to correctly represent the number of votes in the election, in a pictogram.
I was able to draw a column graph at 14.4.
I was able to draw a double column graph at 14.5.
I was able to correctly answer the questions at 15.1 in connection with time.
I was able to interpret the given scale at 15.2 correctly and could answer the questions relating to it.
I was able to interpret the given co-ordinates on the map correctly and could carry out the instructions at 16.2.
I was able to correctly answer the questions referring to the combination of direction and co-ordinates (17.2).

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.

Questions & Answers

what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
What are the treatment for autism?
Magret Reply
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities. before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue.. sometimes due to these physical problems..the diagnosis may be misdiagnosed. treatment for autism. well it depends on the severity. since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision. play therapy. speech therapy. Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game. string and beads game. the more you interact with the child the more effective
Jharna
results you'll get.. please consult a therapist to know what suits best on your child. and last as a parent. I know sometimes it's overwhelming to guide a special kid. but trust the process and be strong and patient as a parent.
Jharna
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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