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Mathematics

Bonny and tommy visit the zoo

Educator section

Memorandum

  • Number Concept to 1 000 (These are the minimum requirements for Grade 3.)
  • Operations:
  • Addition – two and three digit numbers with and without regrouping of the tens and/or hundreds.
  • Subtraction – two and three digit numbers with and without regrouping of the tens and/or hundreds.
  • Multiplication – two and three digit numbers with a one digit number, with or without regrouping of the tens.
  • Division – two digit numbers with a one digit number with regrouping of the tens but without a remainder, e.g. 75 ÷ 5 =

(In the following module remainders with regrouping of the tens are practised again).

In Module 6 the number concept is extended to 1000 . Addition and subtraction is done with two- and three-digit numbers, with and without regrouping of tens and hundreds. Multiplication is done with two- and three-digit numbers with and without regrouping of tens. Division is done with two-digit numbers and regrouping of tens only, without a remainder in Module 6,

e.g. 75 ÷ 5 = ≤ (In the following module, the remainder will be included in regrouping.)

Learners need to know what the actual paper money looks like: R10-, R20-, R50-, R100- and R200-notes.

They must understand the values and be able to do simple calculations.

Explain what drawing to scale signifies. They will have to be able to grasp this concept very well before they will be able to calculate the lengths of the elephants’ trunks. Provide similar examples to ensure that they are able to do the exercise.

The learners need to develop a concrete image of the numerical value of 1000 .

999 + 1 completes a ten that is taken to the tens to complete 10 tens which make a hundred . The hundred is taken to the hundreds to complete 10 hundreds . These make a group of a thousand which has to be taken to the thousands .

1000: the 1 represents 1 group of a thousand and the 3 noughts are the placeholders for the hundreds, tens and units.

Once the learners have completed the number block, it must be used for many counting exercises in tens and hundreds, counting forwards and backwards.

If learners are still struggling to master doubling and halving, they should be encouraged to use the "cloud" to assist the thinking process.

First work orally with similar examples using letter values, before allowing the learners to do the worksheet.

Multiplication with three-digit numbers, with regrouping of the tens, must first be practised orally and in the concrete.

Let the learners count in 9’s before asking them to write it.

Help them to realise that it is easier to start by adding 10 and subtracting 1 than it is to add 9. The opposite is done when 9 is subtracted: take away 10 and add 1. Let them use counters.

If 10c and 1c pieces are used to explain the idea of regrouping tens during division, the learners will be helped to grasp that the tens have to be broken up a nd regrouped with the ones before it can be shared out. (Play money could be used.)

The learners may need much practice before they will have enough skill to complete the worksheet.

It might help them to draw the diagrams.

The decision to make use of carried numbers is left to the educator.

First supply paper shapes for dividing into tens, so that the learners may discover for themselves that tenths , like thirds and fifths, have to be calculated and measured. It is not simply a matter of folding and folding again as in the case of a ½ and a ¼ .

Guide them to discover that they, by first obtaining fifths , can divide each fifth down the middle to obtain tenths .

Discuss symmetrical shapes with the learners. Let them identify symmetrical objects in the classroom. They should complete the drawing after this exercise.

Leaner section

Content

Activity: money notes [lo 1.6]

  • Bonny and Tommy each paid an entry fee of R10. Dad and Mom each paid R20. How much did they pay altogether?

They paid R_______ .

  • Dad paid with a R200-note. How much change did he get?

He got R________ change.

  • Do you know what all the money notes look like? Which animals are on each of these notes?

R10 _________________________________________________________________

R20 _________________________________________________________________

R50 _________________________________________________________________

R100 ________________________________________________________________

R200 ________________________________________________________________

  • For which notes could I exchange the following?

Complete:

4 R20-notes are R______

3 R50-notes are R______

9 R10-notes are R______

10 R100-note are R______

______ R10-notes are R90

______ R100-notes are R500

______ R200-notes are R600

______ R50-notes are R400

  • Count the money in the till at the zoo:

The entrance fee at the zoo has been increased to R25 for an adult and R15 for a child. Give the total cost for:

6 adults and 4 children: R_______ + R_______ = R_______

4 adults and 1 0 children: R_______ + R_______ = R_______

1 0 adults and 8 children: R_______ + R_______ = R_______

  • Use any method to see if you can help me with this problem. Twelve people visited the zoo. They paid R260 in all. How many of them were adults and how many were children?

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 1.6: We know this when the learner solves money problems involving totals and change in rands and cents, including converting between rands and cents.

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
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 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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