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This is written as the remainder (rem.) .

Begin with work in the number range of the tables (to tenth multiple). You will need much concrete work and lots of repetition, because it is very important that the learners understand what they are doing before you go on to larger numbers.

The learners must do research in books and pamphlets about the different traffic signs and discuss them before they complete the signs.

Many pictures and different objects with these shapes are required to ensure that the learners recognise all the shapes.

Make the learners aware of the fact that there is no easy way of folding or dividing for obtaining fifths of 2-D shapes. This must be determined by measuring .

It may be necessary to help the learners to determine the location of the first square that must be coloured in. Do not offer help if they are able to find it independently.

Encourage learners to tell where they live and how they would explain the route to their home to someone else. Help them to explain an easy route to find a certain room in the school.

Leaner section


Activity: divide with a rem [lo 1.7, lo 1.8, lo 3.1]

  • Bonny and Tommy discovered that some numbers couldn’t be divided equally. They are the numbers that are not multiples of the divisors. Sometimes the remainder can be divided into smaller parts, but this is not always possible.
  • Take a good look: Bonny has to divide 13 apples between herself and Tommy. How many will each one get?

13 ÷ 2 = 6½

  • Now look at this:

Tommy wants to divide 13 marbles equally between himself and Jaco. How many marbles will each one get and how many will be left over?

Each one gets 6 and 1 is left over. (Tommy cannot halve the marble.)

  • He thought about it like this:

The nearest multiple of 2 that is less than 13, is 12. He worked with 12 ÷ 2 and knew that 1 would be left over. (Regroup: 12 + 1) The 1 that is left over is known as the remainder . 13 ÷ 2 ¬ 6 rem. 1

Number sentence Nearest multiple Remainder Complete number sentence
1 3 ÷ 27 ÷ 21 1 ÷ 21 5 ÷ 21 9 ÷ 2 1 2 ÷ 2 = 6 1 1 3 ÷ 2 ¬ 6 rem 1
  • Do the same with the multiples of 3, 4, 5 and 10.
Number sentence Nearest multiple Remainder Complete number sentence
13 ÷ 317 ÷ 422 ÷ 526 ÷ 336 ÷ 1038 ÷ 523 ÷ 37 ÷ 49 ÷ 524 ÷ 10
  • Think!

  • Bonny has 67 one-cent pieces and she wants to divide them equally between herself and Tommy . How many will each one get and how many will be left over?

Each one will get 33 one-cent pieces and 1 cent left over.

  • Do the calculations. Use the method that you prefer:
46 ÷ 4 ¬ 68 ÷ 3 ¬
85 ÷ 2 ¬ 59 ÷ 5 ¬
  • Use your own method to solve the problems. Show how you do it.

Your educator has bought 57 pencils. How many learners will each get 5 pencils and how many pencils will be left over?

  • Granny has collected 95 eggs and she wants to provide 3 shops with an equal number of eggs. How many eggs will go to each shop and how many will be left over?
  • Dad has R87 and wants to buy pens at R4 each. How many pens can he buy and how much money will be left over?
  • Fill the answers in as quickly as possible:

  • Complete the work on the wheels of the bus:
  • Follow the number route to find out how far the bus has travelled. Begin at the triangle and end at the rectangle.
  • How many road signs do you see on the way to school? There are signs that: give warnings , give commands and provide information. Find out what these different road signs look like.
  • Use these circles, rectangles and triangles to draw your own road signs.


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 1.7: We know this when the learner solves and explains solutions to practical problems that involve equal sharing and grouping and that lead to solutions that also include unitary and nonunitary fractions (e.g. ¼, ¾);

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

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.1: We know this when the learner recognises, identifies and names two-dimensional shapes and three-dimensional objects in the environment and in pictures.

Questions & Answers

are nano particles real
Missy Reply
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
has a lot of application modern world
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
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.
yes that's correct
I think
Nasa has use it in the 60's, copper as water purification in the moon travel.
nanocopper obvius
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
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
analytical skills graphene is prepared to kill any type viruses .
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
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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