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Mathematics

Mathematics in the world around us

Educator section

Memorandum

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: Friends
  • Social Justice, Human Rights and a healthy environment: “I am in Grade 2 with many other children. Each learner needs to be happy. The educator needs a suitable learning environment in order to teach us.”
  • Discuss the learner’s responsibility to create such an environment.
  • Taking turns on the jungle gym is important – why? Discuss safety, manners, co-operation, etc.
  • Learners extend their number concept to 109 on the “jungle gym”. The activities include ordinals, names, symbols and counting forward and backward.
  • Position is established by places in the classroom, using a floor map of the room.
  • A graph is designed to be completed by collecting information.
  • Addition and subtraction are extended to +4, -4, +5, -5, +6, -6, +7, -7.
  • Bonds of 10 and 11 are discovered.
  • Directions are given to draw and colour a shape.
  • Measuring with thumbs and comparison of these measurements using the related vocabulary.

Leaner section

Content

Activity: graphs, adding and subtracting [lo 1.2, lo 1.4, lo 1.8, lo 1.10, lo 2.2, lo 5.1, lo 5.2, lo 5.4, lo 5.5]

I need to make a graph

The graph will help me find out …

- which is the longest.

- which is the shortest.

- which is the furthest.

- which is the nearest.

  • For each thumb you counted, colour one block.

My graph on lengths

The length of…

the cupboard
the board
the mat
the windows (right)
the windows (left)
the reading corner
  • Now I can see…….

1. The ________________________ is the longest.

2. The ________________________ is the shortest.

3. The length of the cupboard is __________ than the length of the mat. (longer, shorter)

4. The length of the board is ___________ than the windows on the left. (longer, shorter)

LO 5.1 LO 5.2 LO 5.4 LO 5.5

Play with numbers

  • Begin from 1. Draw a line from 1 to 2, from 2 to 3, etc, until you get to 40.

  • Make each number one more and one less.
LO 1.2 LO 1.4
+ 1 + 3 - 1 + 4 - 2 + 10
30
28
37
2 1
19
- 2 - 1 + 3 + 1 + 2 - 10
32
44
35
40
47
LO 1.8

Rename numbers

LO 1.10
  • Can you show Sally different ways in which she can make her sum easier? Write or draw them here.
  • Des has a plan.
  • Liz has another plan.
LO 1.8
  • Let’s use the plan Des had.
  • Use smaller numbers for the ones in circles.
  • Rename them.
  • Use arrows to say “gives me”.
LO 1.8 LO 2.2
  • Do these sums in the same way by renaming the number in the circle.
LO 1.8 LO 2.2

Assessment

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 1.4: We know this when the learner orders, describes and compares the following numbers:

1.4.1 whole numbers to at least 2-digit numbers;

1.4.2 common fractions including halves and quarters;

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 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 5.1: We know this when the learner collects data (alone and/or as a member of a group or team) in the classroom and school environment to answer questions posed by the teacher (e.g. ‘how many learners are there in each classroom?’);

Assessment Standard 5.2: We know this when the learner sorts physical objects to one attribute chosen by the teacher;

Assessment Standard 5.4: We know this when the learner draws pictures and constructs pictographs that have a 1-1 correspondence between own data and representations;

Assessment Standard 5.5: We know this when the learner describes own or a peer’s collection of objects, explains how it was sorted, and answers questions about it.

Questions & Answers

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
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
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.
Bharti
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
Daniel
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
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
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
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
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.
Tarell
what is the actual application of fullerenes nowadays?
Damian
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.
Tarell
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.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
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.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
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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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