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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
COMMON AND DECIMAL FRACTIONS (LO 1; 2 AND 5)
LEARNING UNIT 1 FOCUSES ON COMMON FRACTIONS
** 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.
2.1 =
2.2<
2.3<
2.4<
2.5 =
2.6 =
2.7<
2.8<
2.9<
2.10<
ARRANGEMENT OF DECIMAL AND COMMON FRACTIONS
Earlier in the module you had to decide whether relationship signs were filled in correctly. Work with a friend to examine the following question and the solutions::
1. Two painters wanted to know who was painting the longer wall: one wall measured 9,3 m and the other $9\frac{1}{4}$ m.
x 4
x 10 $9\frac{3}{\text{10}}$ = $9\frac{\text{12}}{\text{40}}$
x 10 $9\frac{1}{4}$ = $9\frac{\text{10}}{\text{40}}$ $\frac{1}{4}$ = $\frac{\text{10}}{\text{40}}$
The 9,3 m wall is longer.
1.2 I first change the $9\frac{1}{4}$ m to a decimal fraction.
x 25x 25 $9\frac{1}{4}$ = $\frac{1}{4}$ = $\frac{\text{25}}{\text{100}}$
9,3 =
Whose method do you prefer?
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2. ANOTHER COMPETITION!
This time the girls are competing against the boys! You now have two minutes to fill in the correct relationship sign. Your educator will then ask any boy or girl to read out the right answers.
2.1 0,09 $\frac{9}{\text{100}}$
2.2 4,02 $4\frac{2}{5}$
2.3 0,016 $\frac{\text{16}}{\text{100}}$
2.4 0 0,8
2.5 0,20 . $\frac{1}{5}$
2.6 1,4 $1\frac{8}{\text{20}}$
2.7 3 $\frac{\text{210}}{1\text{000}}$ 3,22
2.8 0,494 $\frac{1}{2}$
2.9 2,006 $2\frac{6}{\text{100}}$
2.10 0,025 $\frac{1}{4}$
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 1.5: We know this when the learner recognises and uses equivalent forms of the numbers listed above, including:
1.5.2 decimal fractions to at least 2 decimal places.
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