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Mathematics

Common and decimal fractions

Common fractions

Educator section

Memorandum

INTRODUCTION

The learning programme for grade six consists of five modules:

1. Number concept, Addition and Subtraction

2. Multiplication and Division

3. Fractions and Decimal fractions

4. Measurement and Time

5. Geometry; Data handling and Probability

  • It is important that educators complete the modules in the above sequence, as the learners will require the knowledge and skills acquired through a previous module to be able to do the work in any subsequent module.

COMMON AND DECIMAL FRACTIONS (LO 1; 2 AND 5)

LEARNING UNIT 1 FOCUSES ON COMMON FRACTIONS

  • This module continues the work dealt with in grade 5. Addition and subtraction of fractions are extended and calculation of a fraction of a particular amount is revised.
  • Check whether the learners know the correct terminology and are able to use the correct strategies for doing the above correctly.
  • Critical outcome 5 (Communicating effectively by using visual, symbolic and /or language skills in a variety of ways) is addressed.
  • It should be possible to work through the module in 3 weeks.
  • ** Activity 17 is designed as a portfolio task. It is a very simple task, but learners should do it neatly and accurately. They must be informed in advance of how the educator will be assessing the work.
  • LEARNING UNIT 2 FOCUSES ON DECIMAL FRACTIONS
  • This module extends the work that was done in grade 5. Learners should be able to do rounding of decimal fractions to the nearest tenth, hundredth and thousandth. Emphasise the use of the correct method (vertical) for addition and subtraction. Also spend sufficient time on the multiplication and division of decimal fractions.
  • As learners usually have difficulty with the latter, you could allow 3 to 4 weeks for this section of the work.
  • ** Activity 19 is a task for the portfolio. The assignment is fairly simple, but learners should complete it neatly and accurately. They must be informed in advance of how the educator will be assessing the work.

1.1 8 + 15 20 size 12{ { { size 8{8+"15"} } over { size 8{"20"} } } } {} = 23 20 size 12{ { { size 8{"23"} } over { size 8{"20"} } } } {}

1.2 3 + 4 6 size 12{ { { size 8{3+4} } over { size 8{6} } } } {} = 7 6 size 12{ { { size 8{7} } over { size 8{6} } } } {} = 1 1 6 size 12{ { { size 8{1} } over { size 8{6} } } } {}

= 1 size 12{ { size 8{3} } wideslash { size 8{"20"} } } {}

1.3 6 + 20 24 size 12{ { { size 8{6+"20"} } over { size 8{"24"} } } } {} = 26 24 size 12{ { { size 8{"26"} } over { size 8{"24"} } } } {}

1.4 5 + 12 15 size 12{ { { size 8{5+"12"} } over { size 8{"15"} } } } {} = 17 15 size 12{ { { size 8{"17"} } over { size 8{"15"} } } } {} = 1 2 15 size 12{ { { size 8{2} } over { size 8{"15"} } } } {}

Class discussion

  • Whole number + fraction
  • First add whole numbers

First change all to improper fractions

Leaner section

Content

Activity: to calculate by selecting operations appropriate to solving problems [lo 1.8.3]

1. Calculate by first finding the common denominator (smallest common multiple) :

1.1 2 5 size 12{ { {2} over {5} } } {} + 3 4 size 12{ { {3} over {4} } } {}

.......................................................................................

.......................................................................................

.......................................................................................

.......................................................................................

1.2 1 2 size 12{ { {1} over {2} } } {} + 2 3 size 12{ { {2} over {3} } } {}

.......................................................................................

.......................................................................................

.......................................................................................

.......................................................................................

1.3 1 4 size 12{ { {1} over {4} } } {} + 5 6 size 12{ { {5} over {6} } } {}

.......................................................................................

.......................................................................................

.......................................................................................

.......................................................................................

1.4 1 3 size 12{ { {1} over {3} } } {} + 4 5 size 12{ { {4} over {5} } } {}

.......................................................................................

.......................................................................................

.......................................................................................

.......................................................................................

Class discussion:

  • First explain what a mixed number is.

............................................................................................................................

  • Name the different methods for calculating the sum of two mixed numbers.

............................................................................................................................

............................................................................................................................

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 estimates and calculates by selecting and using operations appropriate to solving problems that involve:

1.8.3 addition and subtraction of common fractions with denominators which are multiples of each other and whole numbers with common fractions (mixed numbers).

Questions & Answers

who was the first nanotechnologist
Lizzy Reply
k
Veysel
technologist's thinker father is Richard Feynman but the literature first user scientist Nario Tagunichi.
Veysel
Norio Taniguchi
puvananathan
Interesting
Andr
I need help
Richard
anyone have book of Abdel Salam Hamdy Makhlouf book in pdf Fundamentals of Nanoparticles: Classifications, Synthesis
Naeem Reply
what happen with The nano material on The deep space.?
pedro Reply
It could change the whole space science.
puvananathan
the characteristics of nano materials can be studied by solving which equation?
sibaram Reply
plz answer fast
sibaram
synthesis of nano materials by chemical reaction taking place in aqueous solvents under high temperature and pressure is call?
sibaram
hydrothermal synthesis
ISHFAQ
how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
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..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
STM - Scanning Tunneling Microscope.
puvananathan
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Source:  OpenStax, Mathematics grade 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
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