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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
1. To use a range of strategies to control solution
2. Own answer
3. 1.1 and 1.3 ; 1.2 and 1.4
1. During the previous activity you might have realised that there were more than one method for calculating an answer. Now work through the different solutions for the following problem with a partner:
1.1 The first step is to determine what $\frac{1}{5}$ of R200 is. I therefore divide 200 by 5:
5 200 |
$\frac{1}{5}$ is equal to R40. $\frac{4}{5}$ will be R40 x 4.
He saves R160.
1.2 I first determine what $\frac{1}{5}$ of R200 is. Therefore: 200 ÷ 5 = 40
$\frac{1}{4}$ = 1 – $\frac{1}{5}$ I therefore subtract R40 from R200 and my answer is R160
1.3 To determine how much he saves, I have to do the following:
= 40 x 4
= R160
1.4 I calculate this as follows:
200 – (200 ÷ 5)
= 200 – 40
= R160
2. Which one of the above methods do you find easiest to do?
3. Which of the methods actually are exactly similar?
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 1.11: We know this when the learner uses a range of strategies to check solutions and judge the reasonableness of solutions.
Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
Assessment Standard 2.6: We know this when the learner determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented:
2.6.1 verbally;
2.6.3 by number sentences.
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