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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: Friends should spend time together, e.g. playing games. Discuss in small groups what your attitude towards your friends should be when you play together.
  • A healthy environment: Why is sport important? Discuss the safety precautions needed when participating in sport at school.
  • Inclusively: Who should be allowed to participate in sport at school? Only team players? Or should the school accommodate everyone? Make you own graph of which learners participate in sport.
  • Number concept is extended to 50.
  • Counting in 2’s, 3’s, 4’s, 5’s and 10’s.
  • Calendar activities enable learners to order the months and revise ordinals.
  • Graph – a weather graph can be completed.
  • Bonds of 10 are introduced with many opportunities to reinforce these.
  • Measurement activities involving comparisons of height, length, width using related vocabulary.
  • Capacity – litre;
  • Identifying coins and shapes are included.

Leaner section

Content

Activity: measure [lo 1.8, lo 1.9, lo 1.10, lo 4.6, lo 4.7]

Mamma skink 4 koppies melk van 1 liter.

Sy skink 3 glase melk van 1 liter.

  • She will need ____ litres for 8 cups of milk.
  • She will need ____ litres for 9 glasses.
  • Show how you found out:
  • Des drinks 16 cups of milk a week.
  • His mom will have to buy ____ litres of milk.
  • Show how you found out:
  • Look through a catalogue and find other things we buy by the litre. Paste them at the back of this page.
LO 4.7

Mom bakes muffins for breakfast.

She puts 5 muffins in a pan.

  • Complete:
Pan/pans 1 2 3 4 5 6 7 8 9 10
muffins 5 10
  • How many pans must she bake to have 40 muffins?

____ pans

  • How many muffins will she have if she bakes 3 pans?

____ muffins

  • Mom shares out 10 muffins between 2 children. Each will get ____ muffins.
  • Mom has 12 muffins on the plate. She gives half to Granny. Granny will get _____ muffins.
  • Mom cools 8 muffins on one tray. She can cool ____ muffins on two trays.
  • Double these numbers:

6 ____

20 ____

8 ____

5 ____

7 ____

4 ____

9 ____

10 ____

30 ____

LO 1.8 LO 1.9 LO 1.10

We can measure

  • I can measure the length, the width and the height of my table, the windowsill, the mat and my chair with things like:

  • To measure the length of my table I would use _______.

I guess it will measure about __________.

I measured the length of my table. It is __________.

  • To measure the width of my book I would use ________..

I guess it will measure about __________.

I measured the width of my book. It is __________.

LO 4.6

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.

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

Assessment Standard 1.9: We know this when the learner performs mental calculations involving:

1.9.1 addition and subtraction for numbers to at least 20;

1.9.2 multiplication of whole numbers with solutions to at least 20.

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

Assessment Standard 4.6: We know this when the learner estimates, measures, compares and orders three-dimensional objects using non-standard measures.

Assessment Standard 4.7: We know this when the learner works with standard measures.

Questions & Answers

Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
Kate Reply
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
Saheed Reply
50 m/s due south east
Someone
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
Ramon Reply
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you. Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
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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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