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Mathematics

Bonny and tommy at the sea

Educator section

Memorandum

It will probably only be learners in the first group who will progress as far as this module. Do not discourage learners who want to do this module. Even if they can only do a few of the activities they must be given the opportunity to do so. This must be handled carefully so that learners are not discouraged or feel inferior towards other learners. Neither must they develop negative attitudes towards Mathematics.

  • Number concept to 2 000
  • Operations: Consolidation and reinforcement of all the operations in previous modules.

A considerable amount of advanced and enrichment work is included and the educator must be familiar with each activity before the learners are expected to complete them.

In Module 8 number concept is extended to 2 000 . All operations are revised and consolidated. Several enrichment and challenging activities are included in this module and should only be given to learners who can manage them and who enjoy challenges. This selection process must be handled carefully and the other learners must not be discouraged or feel inferior towards other learners or the subject Mathematics.

A thorough discussion and explanation of the map on p. 3 as well as the table of distances on p. 4 should help learners complete these worksheets.

Number concept is extended to 2 000.

This is consolidation of the operations as in the previous modules. It offers an opportunity to identify problem areas.

These are to determine to what extent the learners’ logical thought processes have developed and to test and consolidate the basic work.

Telling the time on digital clocks/watches should only be done with learners who have mastered the telling of time on ordinary (analogue) clocks/watches. They need much practice in telling the time on ordinary clocks/watches and the corresponding time on digital clocks/watches before completing the worksheets.

Give the learners the opportunity to do these problems without help so that their progress can be determined.

Show examples and discuss ethnic patterns with the learners. Encourage them to bring examples to school and to share these with the class.

Use this for assessment purposes.

This is enrichment work and the educator should study this work first and then decide which of these worksheets should be used for which learners.

All learners who have progressed to Module 8 should be able to complete these worksheets with ease.

Do this activity practically in the classroom and let several learners explain what they see in front of them when walking behind someone. Let three learners stand next to one another and let the other learners stand in front of them. They must walk around the three standing in a line and observe them from behind so that they can discover that the order from left to right has changed.

Not much explanation is needed here as this activity is similar to the one where they used the table of distances.

Leaner section

Content

Activity: mass and height [lo 1.8, lo 1.9, lo 2.5]

Here is Bonny and Tommy’s tower of sand. The mass of each cup of sand is 200 g and the height of each is 6 cm .

  • Complete:
  • How many cups of sand did they use to build the tower? _____________
  • What is the total mass of the tower? _________ g = ____________ kg
  • How many cups of sand were needed to build a tower with a mass of 3 kg?

_____________________________________________________________________

  • What is the total height of the tower? __________ cm = ____________ m
  • How many cups of sand were needed to build a tower with a height of 1,02 m?

_____________________________________________________________________

  • Which do you think has the greater mass, a cup of dry sand or a cup of wet sand? Give your reason.
  • Complete the starfish:

  • Draw at least two starfish and decorate them with ethnic patterns. Remember that all five arms of a starfish are identical.
  • Complete:
  • Bonny picked up 93 shells and wants to put the same amount into four buckets. How many will she put into each bucket and how many will be left over?

Assessment

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 1.8: 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;

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 2.5: We know this when the learner identifies, describes and copies geometric patterns in natural and cultural artefacts of different cultures and times.

Questions & Answers

find the 15th term of the geometric sequince whose first is 18 and last term of 387
Jerwin Reply
I know this work
salma
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
virgelyn Reply
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
kinnecy Reply
can someone help me with some logarithmic and exponential equations.
Jeffrey Reply
sure. what is your question?
ninjadapaul
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
ninjadapaul
I don't understand what the A with approx sign and the boxed x mean
ninjadapaul
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
ninjadapaul
oops. ignore that.
ninjadapaul
so you not have an equal sign anywhere in the original equation?
ninjadapaul
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
I rally confuse this number And equations too I need exactly help
salma
But this is not salma it's Faiza live in lousvile Ky I garbage this so I am going collage with JCTC that the of the collage thank you my friends
salma
Commplementary angles
Idrissa Reply
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
hi
salma
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
Kevin Reply
a perfect square v²+2v+_
Dearan Reply
kkk nice
Abdirahman Reply
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
Kim Reply
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
Embra Reply
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
Nancy Reply
rolling four fair dice and getting an even number an all four dice
ramon Reply
Kristine 2*2*2=8
Bridget Reply
Differences Between Laspeyres and Paasche Indices
Emedobi Reply
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
Mary Reply
how do you translate this in Algebraic Expressions
linda Reply
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
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
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
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
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
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
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
Ali Reply
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
bamidele 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 3. OpenStax CNX. Oct 14, 2009 Download for free at http://cnx.org/content/col11128/1.1
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