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To calculate by selecting operations appropriate for solving problems

Module by: Siyavula Uploaders. E-mail the author

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 3636 size 12{ { { size 8{3} } over { size 8{6} } } } {} = 510510 size 12{ { { size 8{5} } over { size 8{"10"} } } } {} = 1212 size 12{ { { size 8{1} } over { size 8{2} } } } {}

1.2 10151015 size 12{ { { size 8{"10"} } over { size 8{"15"} } } } {} = 812812 size 12{ { { size 8{8} } over { size 8{"12"} } } } {} = 2323 size 12{ { { size 8{2} } over { size 8{3} } } } {}

1.3 610610 size 12{ { { size 8{6} } over { size 8{"10"} } } } {} = 3535 size 12{ { { size 8{3} } over { size 8{5} } } } {}

1.4 10121012 size 12{ { { size 8{"10"} } over { size 8{"12"} } } } {} = 5656 size 12{ { { size 8{5} } over { size 8{6} } } } {}

Figure 1
Figure 1 (graphics1.png)

LEANER SECTION

Content

ACTIVITY: To calculate by selecting operations appropriate to solving problems [LO1.8.7]

It is important for you to understand what an equivalent fraction is and also how to obtain it, because this will help you to put the correct relationship sign between two fractions.

DO YOU REMEMBER THIS?

Fractions of equal size are known as equivalent fractions.

1. Take a good look at the illustrations and write down the equivalent fractions, e.g.

Figure 2
Figure 2 (graphics2.png)
Figure 3
Figure 3 (graphics3.png)

2. Colour in those balloons that are equal to one quarter:

Figure 4
Figure 4 (graphics4.png)

DID YOU KNOW?

Equivalent fractions make it possible to compare fractions with one another. If I have to fill in relationship signs, the denominators of the fractions have to be made the same.

Figure 5
Figure 5 (graphics5.png)
E.g.

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:

1.8.7 equivalent fractions.

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