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Mathematics in the world around us

Educator section


Critical and developmental outcomes:

The learners must be able to:

1. identify and solve problems and make decisions using critical and creative thinking;

2. work effectively with others as members of a team, group, organisation and community;

3. organise and manage themselves and their activities responsibly and effectively;

4. collect, analyse, organise and critically evaluate information;

5. communicate effectively using visual, symbolic and/or language skills in various modes;

6. use science and technology effectively and critically, showing responsibility towards the environment and the health of others;

6. demonstrate an understanding of the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation;

7. reflect on and explore a variety of strategies to learn more effectively;

8. participate as responsible citizens in the life of local, national, and global communities;

9. be culturally and aesthetically sensitive across a range of social contexts;

10. explore education and career opportunities; and

develop entrepreneurial opportunities.


Critical and developmental outcomes: Pages:
CO 1 E-4, 10, 11, 14, 18, 19, 20, 21, 24
CO 2 E-1, E-5, 15, 25
CO 3 3, 4, E-2, 16, 17
CO 4 5
CO 5 1, 7, 8, 9, 12,13, 22
CO 6 28
CO 7 5, 6, 27, 28, 29
CO 8 26, E-9
  • Integration of Themes: Friends
  • Inclusively: Although we are all unique, we share many similarities; appearance, sport, education etc.
  • Social Justice: Friends and their expected behaviour towards one another.
  • A healthy environment: This is our responsibility – what can we do about keeping our environment healthy?

Educator’s page


  • Pick up 1 counter / block / bean in one hand.
  • Pick up the same number in the other hand.
  • How many?
  • How many altogether?
  • We can say 1 + 1 = 2
  • What have we done?
  • We have taken the same number in the other hand.
  • One doubled is equal to 2.
  • Follow the same steps with 2, 3, 4 and 5 so that learners understand the concept of doubling.
  • Ask each one individually in order to assess whether he understands the term "double" and whether he can work out the doubles.
  • How else can we double numbers besides using counters? Draw?
  • Look around the room: Can you see any place where numbers are doubled?E.g. 4 windows on the left side and 4 windows on the right side.Lights?Body parts? - eyes, ears, hands, feet, fingers, toes.


Halving means sharing out equally between 2 people. Work on the mat, e.g.

  • Take 2 countersShare them out between 2 childrenHow many will each get?What happens if we put the 2 counters together again? We will have 2. What is that called? Doubling.
  • Take 4 counters.
  • Follow steps as for 2
  • Take 6
  • Take 8
  • Take 10

Leaner section


Activity: doubling and halving [lo 1.10, lo 1.2, lo 1]

Doubling and Halving

Liz and Mike go for a walk.

They see all these doubles. They can halve them too.

Can you?

  • Make sums with your doubles.







LO 1.10
  • Doubling and halving
Which other numbers can you double? Now halve them.
10 ........... Half of 20 ...........
20 ........... 40 ...........
100 ........... 200 ...........
200 ........... 400 ...........
Which other numbers can you halve? Double these.
Try 40 ........... 20 ...........
60 ........... 30 ...........
80 ........... 40 ...........
LO 1.10
  • I keep my things tidy.
  • I have ______________________ pairs of socks.
  • I have ______________________ socks altogether.

2 + 2 + 2 + 2 =____________________

2 taken 4 times is equal to ______________________

  • I have ______________________ pairs of shoes.
  • I have ______________________ shoes altogether.

2 + ___________ + ___________ = ___________

2 taken ___________ times is equal to ___________

  • My shirts are stacked in 2's.
  • I have ______________________ shirts altogether.

2 + 2 = ______________________

2 taken ______________________ times is equal to __________________

LO 1.2

Colour :2 red2 blue Count in 2’s Colour :3 red3 blue Count in 3’s

  • I stack my toys
LO 1
  • Complete

3 boys wear _______________socks. 2 + 2 + 2 = _______________

5 girls have _______________eyes. 2 + 2 + 2 + 2 + 2 = _______________

1 mom has _______________ hands. 2 + 0 = . _______________

Pat and Ann have _______________ hands. 2 + 2 = _______________

Mike and Sisulu have _______________ shoes. 2 + 2 = _______________


Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their 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 1.2: We know this when the learner counts forwards and backwards in:

1.2.1 ones from any number between 0 and 200;

1.2.2 tens from any multiple of 10 between 0 and 200;

1.2.3 fives from any multiple of 5 between 0 and 200;

1.2.4 twos from any multiple of 2 between 0 and 200;

Assessment Standard 1.10: We know this when the learner uses the following techniques:

1.10.1 building up and breaking down numbers;

1.10.2 doubling and halving;

1.10.3 using concrete apparatus (e.g. counters);

1.10.4 number-lines;

Questions & Answers

what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
How can I make nanorobot?
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
how can I make nanorobot?
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
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Source:  OpenStax, Mathematics grade 2. OpenStax CNX. Oct 15, 2009 Download for free at http://cnx.org/content/col11131/1.1
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