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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

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
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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?
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.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
what is system testing
what is the application of nanotechnology?
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
anybody can imagine what will be happen after 100 years from now in nano tech world
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
silver nanoparticles could handle the job?
not now but maybe in future only AgNP maybe any other nanomaterials
I'm interested in Nanotube
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
can nanotechnology change the direction of the face of the world
Prasenjit 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, Mathematics grade 2. OpenStax CNX. Oct 15, 2009 Download for free at http://cnx.org/content/col11131/1.1
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