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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.

Integration of Themes:

  • Inclusively: We can all learn from one another. Each person’s culture can stimulate and enrich another’s. Show how this can be done.
  • Human rights: Learners must respect the differences amongst themselves. Decide how they are different, yet as worthy as their fellow classmates.
  • A healthy environment: Flowers enhance our environment. Nature them. Healthy foods give us healthy bodies. Discuss healthy, nourishing foods and list them. Do a survey to find out whether your classmates eat healthy foods.
  • Number concept and counting to and beyond 200 are practised.
  • Even and uneven numbers, rounding off numbers and place values are revised.
  • The table of 4 and 3 and sharing activities are included in this module.
  • Addition with renaming is practised.
  • Doubling with renaming.
  • Bonds of 19.
  • The following activities have also been included: mass, capacity, fractions and distance.
  • Learners are introduced to the objects: pyramids, prisms and cylinders.
  • The faces of these 3-D shapes are discussed and compared.

Leaner section


Activity: mass and distances [lo 1.2, lo 1.3, lo 1.4, lo 1.8, lo 1.10, lo 2.2, lo 4.3, lo 4.7]

Tom’s backpack

1 lunch box with 4 sandwiches

1 ℓ of cool drink

3 apples

2 chocolates

Des’ backpack

1 lunch box with 6 sandwiches

2 ℓ of cool drink

1 apple

2 chocolates

Answer these questions .

1. ________________________ (name) lunch box has the greater mass. Why?

2. ________________________ (name) lunch box has the smaller mass. Why?

3. One litre bottle can fill 4 mugs.

4. Tom will drink ______________________ mugs of cool drink.

5. Des will drink ______________________ mugs of cool drink.

6. Tom eats one quarter of an apple a day. He will eat a quarter of an apple for ______________________ days.

7. Des eats one half of an apple a day. He will eat half an apple for ______________________ days.

8. The chocolate has 8 squares. They eat 4 squares a day. They each have 4 squares for ______________________ days.

LO 1.4 LO 4.7
  • Complete.

1. Tom and Des walked 5 km in one day. They will walk:

10 km in ______________________ days.

25 km in ______________________ days.

50 km in ______________________ days.

2. The camp is 15 km from Tom’s house and 12 km from Des’ house. Tom’s house is______________________ km further.

3. Tom can hit the ball 35 m far.

Des can hit the ball 4 m further.

He can hit the ball ______________________ m.

4. Tom counted 28 birds.

Des counted 5 less.

Des counted ______________________ birds.

5. They left the house at 8 o’clock in the morning. The first day they came to the campsite at 3 o’clock in the afternoon. They walked for ______________________ hours.

LO 1.8 LO 4.3 LO 4.7

Number the houses

LO 1.3 LO 1.4 LO 2.2
  • Complete the counting pattern. Join the numbers.
  • Colour the even numbers in red.
  • Colour the uneven numbers in blue.
  • Round off to the nearest multiple of 10.

1 1 _______________ 22 _______________ 34 _______________

17 _______________ 29 _______________ 33 _______________

27 _______________ 41 _______________ 21 _______________

36 _______________ 26 _______________ 46 _______________

LO 1.2 LO 2.2 LO 1.10
  • Rename and double:
LO 1.8 LO 1.10


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 1.2: We know this when the learner counts forwards and backwards;

Assessment Standard 1.3: We know this when the learner knows and reads number symbols from 1 to at least 200 and writes number names from 1 to at least 100;

Assessment Standard 1.4: We know this when the learner orders, describes and compares numbers;

Assessment Standard 1.8: We know this when the learner can perform calculations, using appropriate symbols, to solve problems;

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.

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.2: We know this when the learner copies and extends simple number sequences to at least 200.

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

Assessment Standard 4.3: We know this when the learner calculates elapsed time;

Assessment Standard 4.7: We know this when the learner estimates, measures, compares and orders objects using standard measures.

Questions & Answers

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
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
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.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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