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Number concept

Educator section


Leaner section


Activity: to solve problems in context [lo 1.6.1/2]

To use a range of techniques to perform calculations [lo 1.10.1/5]

To use a range of strategies to check solutions [lo 1.11]

In the previous activity you practised your mental skills. On the other hand it is also important to be able to calculate correctly by using pencil and paper. Form groups of three. Your teacher will provide the paper you need. Then execute the following assignments neatly and accurately.

1. Solve the following problems:

1.1 Mr Dlamini has won a competition and would like to buy each of his three sons a house. He sees the following advertisements:

House A: R895 000

House B: R795 799

House C: R799 495

What will the three houses cost Mr Dlamini?

1.2 Nancy sees an exhibition of dinosaurs in a museum. The weights of the three dinosaurs are given as follows:

A: 45 875 kg

B: 9 324 kg

C: 26 879 kg

What is the combined weight of the dinosaurs?

1.3 The registration figures for the “Long-winded Marathon” are as follows:

2002: 24 513

2003: 31 687

2004: 42 196

How many entries have there been in the marathon up to now?

2. Check you answers using your pocket calculator.

3. Explain to the class how your group has arrived at the answers.

4. Compare your methods with those of the other groups. How do they differ?

Time for group assessment

Assess your work on a scale of 1 – 4 and circle the appropriate number

1 = needs more attention

2 = fairly good

3 = very good

4 = excellent

Criteria: Needs attention Fairly good Very good Ex-cellent
All group members participated in the activity. 1 2 3 4
Group members listened to each other. 1 2 3 4
Group members helped and encouraged each other. 1 2 3 4
Group members adhered to the instructions. 1 2 3 4
Each one had a chance to speak. 1 2 3 4
The group’s work was neatly done. 1 2 3 4
The answers were calculated correctly. 1 2 3 4


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 1.6: We know this when the learner solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues such as:

1.6.1: financial (including buying and selling, profit and loss, simple budgets, reading and interpreting accounts, and discount);

1.6.2: measurements in Natural Sciences and Technology contexts.

Assessment Standard 1.10: We know this when the learner uses a range of techniques to perform written and mental calculations with whole numbers including:

1.10.1: adding, subtracting and multiplying in columns;

1.10.5: using a calculator.

Assessment Standard 1.11: We know this when the learner uses a range of strategies to check solutions and judge the reasonableness of solutions.

Questions & Answers

An investment account was opened with an initial deposit of $9,600 and earns 7.4% interest, compounded continuously. How much will the account be worth after 15 years?
Kala Reply
lim x to infinity e^1-e^-1/log(1+x)
given eccentricity and a point find the equiation
Moses Reply
12, 17, 22.... 25th term
Alexandra Reply
12, 17, 22.... 25th term
College algebra is really hard?
Shirleen Reply
Absolutely, for me. My problems with math started in First grade...involving a nun Sister Anastasia, bad vision, talking & getting expelled from Catholic school. When it comes to math I just can't focus and all I can hear is our family silverware banging and clanging on the pink Formica table.
find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
I'm not sure why it wrote it the other way
I got X =-6
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
is it a question of log
I rally confuse this number And equations too I need exactly help
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Commplementary angles
Idrissa Reply
im all ears I need to learn
right! what he said ⤴⤴⤴
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Embra 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
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
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Grade 6 mathematics support group. OpenStax CNX. Sep 18, 2009 Download for free at http://cnx.org/content/col11002/1.2
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