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Mathematics

More geometry, data handling and probability

Educator section

Memorandum

14.1 – 14.5 Check learner’s efforts

14.4 Fanta

14.5 R25,00

15.1 (a) half past eight

(b) 1 hour 40 min

(c) 53 min

(d) half past six

(e) 55 min

(f) 18 hours

15.2 (a) 14 000 km

(b) 14,7 hours

(c) approximately 7 200 km

(d) 600 km/h

(e) approximately 49 and a half

(f) 12 hours 47 min

(g) 08:05

(h) 07:05

(i) “Daylight saving” –use as much sun as possible.

(j) USA

Leaner section

Content

Activity: own representation of data [lo 5.5, lo 5.8, lo 5.9, lo 4.1]

14. OWN REPRESENTATION OF DATA:

14.1 Vusi, a learner in Grade 7, was seriously sick and had to go to hospital. The nurse took his temperature regularly

08:00 37,8º

10:00 38,2º

12:00 38,4º

14:00 37,6º

16:00 38º

18:00 39,2º

20:00 38,8º

  • Represent the information on a line graph.

14.2 In a certain town water is consumed as follows:

gardening 32%

laundry and dishes 15%

toilets 28%

bathing 20%

cooking and drinking 5%

  • Represent the information by means of a pie graph

14.3 During the election of prefects at Sunshine Primary School, Stephanie received 80 votes, Tamara received 120 votes, Buck 60 votes and Sean 140 votes.

  • Draw a pictogram to indicate the position of the votes.

14.4 Draw a column/bar graph to represent the sales of cool drink during the year:

Lemonade 22 000 litres

Fanta 38 000 litres

Coke 45 500 litres

Cream soda 20 500 litres

Tab 43 250 litres

  • The sales of which cool drink are the closest to the average sales of all the cool drinks?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

14.5 BRAIN-TEASER!

  • Can you show the following information on the same graph?

Jan Feb Mar Apr May

Jan Feb Mar Apr May
Price of Cheddar cheese per kg R12.50 R15.00 R12.50 R17.50 R22.50
Price of Sweet milk cheese per kg R17.50 R22.50 R12.50 R20.00 R25.00

(Hint: draw up a double column graph!)

  • Why, do you think, does the price vary from month to month?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

  • How much more would you have paid for Sweet milk cheese in February than in January?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

15. INTERPRETATION OF DATA

15.1 Look at the TV guide and answer the following questions.

a) At what time can you look at the aerobic exercises? _____________________

b) How long is the drama “Deep in my Heart”? ___________________________

c) How long is the program “Once and Again”?___________________________

d) At what time can you watch Big Brother II____________________________

e) How long must you wait after “What women want” before you can watch KTV _______________________________________________________________

f) How long is the whole broadcast on this particular day? __________________

g) How much time do YOU spend every day, on average, watching TV? ______

15.2 Study the world map and the given scale and determine:

a) What is the distance from Cape Town to New York? ____________________

b) If an aeroplane flies at 950 km/h, how long is it going to take for you to fly form Cape Town to New York? ___________________________________________

c) How far is it form Perth to Los Angeles? ______________________________

d) At what speed are you travelling if it takes you 12 hours to cover the distance at c? _________________________________________________________________

e) If you could walk at a speed of 8 km/h from Tokyo to London, then about how many days will it take you to complete the distance? __________________________

f) If you leave Cape Town at 20:18 and arrive in London the following morning at 09:05 (S.A. time), how long does your journey last?_________________________

g) What time will it be in England (March to September)?___________________

h) What time will it be in England (September to March)?___________________

i) Why does England adapt her time in this way? _________________________

_______________________________________________________________

j) Where else in the world is time also adapted in this way? ________________

Assessment

Learning Outcome 4: The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Assessment Standard 4.1: We know this when the learner solves problems involving time, including relating time, distance and speed;

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 5.5: We know this when the learner organises (including grouping where appropriate) and records data using tallies, tables and stem-and-leaf displays;

Assessment Standard 5.8: We know this when the learner draws a variety of graphs by hand/technology to display and interpret data (grouped and ungrouped);

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

explain and give four Example hyperbolic function
Lukman Reply
The denominator of a certain fraction is 9 more than the numerator. If 6 is added to both terms of the fraction, the value of the fraction becomes 2/3. Find the original fraction. 2. The sum of the least and greatest of 3 consecutive integers is 60. What are the valu
SABAL Reply
1. x + 6 2 -------------- = _ x + 9 + 6 3 x + 6 3 ----------- x -- (cross multiply) x + 15 2 3(x + 6) = 2(x + 15) 3x + 18 = 2x + 30 (-2x from both) x + 18 = 30 (-18 from both) x = 12 Test: 12 + 6 18 2 -------------- = --- = --- 12 + 9 + 6 27 3
Pawel
2. (x) + (x + 2) = 60 2x + 2 = 60 2x = 58 x = 29 29, 30, & 31
Pawel
ok
Ifeanyi
on number 2 question How did you got 2x +2
Ifeanyi
combine like terms. x + x + 2 is same as 2x + 2
Pawel
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?
mariel Reply
Mark = x,. Don = 3x + 1 x + 3x + 1 = 113 4x = 112, x = 28 Mark = 28, Don = 85, 28 + 85 = 113
Pawel
how do I set up the problem?
Harshika Reply
what is a solution set?
Harshika
find the subring of gaussian integers?
Rofiqul
hello, I am happy to help!
Shirley Reply
please can go further on polynomials quadratic
Abdullahi
hi mam
Mark
I need quadratic equation link to Alpa Beta
Abdullahi Reply
find the value of 2x=32
Felix Reply
divide by 2 on each side of the equal sign to solve for x
corri
X=16
Michael
Want to review on complex number 1.What are complex number 2.How to solve complex number problems.
Beyan
yes i wantt to review
Mark
use the y -intercept and slope to sketch the graph of the equation y=6x
Only Reply
how do we prove the quadratic formular
Seidu Reply
please help me prove quadratic formula
Darius
hello, if you have a question about Algebra 2. I may be able to help. I am an Algebra 2 Teacher
Shirley Reply
thank you help me with how to prove the quadratic equation
Seidu
may God blessed u for that. Please I want u to help me in sets.
Opoku
what is math number
Tric Reply
4
Trista
x-2y+3z=-3 2x-y+z=7 -x+3y-z=6
Sidiki Reply
can you teacch how to solve that🙏
Mark
Solve for the first variable in one of the equations, then substitute the result into the other equation. Point For: (6111,4111,−411)(6111,4111,-411) Equation Form: x=6111,y=4111,z=−411x=6111,y=4111,z=-411
Brenna
(61/11,41/11,−4/11)
Brenna
x=61/11 y=41/11 z=−4/11 x=61/11 y=41/11 z=-4/11
Brenna
Need help solving this problem (2/7)^-2
Simone Reply
x+2y-z=7
Sidiki
what is the coefficient of -4×
Mehri Reply
-1
Shedrak
the operation * is x * y =x + y/ 1+(x × y) show if the operation is commutative if x × y is not equal to -1
Alfred Reply
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Kimberly Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
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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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