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SOUTH AFRICAN QUALIFICATIONS AUTHORITY

REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE:

Work with fractions, percentages and decimals to describe situations and calculate change situations

SAQA US ID	UNIT STANDARD TITLE
13501	Work with fractions, percentages and decimals to describe situations and calculate change situations
ORIGINATOR
SGB Math. Literacy Mathematics and Math Sciences
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY
-
FIELD			SUBFIELD
Field 10 - Physical, Mathematical, Computer and Life Sciences			Mathematical Sciences
ABET BAND	UNIT STANDARD TYPE	PRE-2009 NQF LEVEL	NQF LEVEL	CREDITS
ABET Level 3	Regular-Fundamental	Below Level 1	Level TBA:Pre-2009 BelowL1	2
REGISTRATION STATUS		REGISTRATION START DATE	REGISTRATION END DATE	SAQA DECISION NUMBER
Passed the End Date - Status was "Reregistered"		2003-07-01	2006-06-30	SAQA 1043/02
LAST DATE FOR ENROLMENT		LAST DATE FOR ACHIEVEMENT
2007-06-30		2010-06-30

In all of the tables in this document, both the pre-2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre-2009 levels unless specifically stated otherwise.

This unit standard does not replace any other unit standard and is not replaced by any other unit standard.

PURPOSE OF THE UNIT STANDARD

This unit standard is for people who solve problems involving fractional parts in various forms. People credited with this unit standard are able to describe situations in terms of fractional parts, increases and decreases, and calculate with fractions, decimals and percentages in a variety of change situations.

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING

'Demonstrate and apply understanding of the number system';
'Solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication and division'.

UNIT STANDARD RANGE

Working with fractions includes:

Demonstrating knowledge of different ways of expressing fractions;

Expressing one quantity as a fraction, percentage, and/or decimal of another quantity;

Expressing parts of a whole as fractions, percentages and decimals of a whole;

Finding a given simple fraction, percentage or decimal of a quantity or shape; and

Changing a quantity or shape by increasing or decreasing it by at fraction, percentage or decimal.

The following situation is excluded at this level: A quantity is changed by multiplication and the result is given. What is the original quantity e.g. An item sells for R40,00 including VAT, how much VAT was paid?

Specific Outcomes and Assessment Criteria:

SPECIFIC OUTCOME 1

Describe situations or changes.

OUTCOME NOTES

Describe situations or changes by expressing and calculating one quantity as a fractional part of another quantity, and recognise situations for using such descriptions.

OUTCOME RANGE

Fractional parts are expressed in the form of fractions, decimals and percentages.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. Symbolic representations of fractions, percentages and decimals obey recognised conventions.

ASSESSMENT CRITERION 2

2. The description is clear and consistent with the situation.

ASSESSMENT CRITERION 3

3. Descriptions involving decimals have the correct number of decimal places as justified by the context.

ASSESSMENT CRITERION 4

4. The description includes correct matching of fractions, percentages and decimals where required.

ASSESSMENT CRITERION 5

5. Descriptions involving the use of fractions, percentages and decimals are appropriate to the situation.

ASSESSMENT CRITERION 6

6. The fractions, percentages or decimals calculated are correct and make sense in terms of the situation.

SPECIFIC OUTCOME 2

Describe and calculate situations involving parts of a whole.

OUTCOME NOTES

Describe and calculate situations involving parts of a whole and recognise situations for using such descriptions.

OUTCOME RANGE

Parts of a whole are expressed in the form of fractions, decimals and percentages.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. Symbolic representations of fractions, percentages and decimals obey recognised conventions.

ASSESSMENT CRITERION 2

2. The description is clear and consistent with the situation.

ASSESSMENT CRITERION 3

3. Descriptions involving decimals have the correct number of decimal places as justified by the context.

ASSESSMENT CRITERION 4

4. The description includes correct matching of fractions, percentages and decimals where required.

ASSESSMENT CRITERION 5

5. Descriptions involving the use of fractions, percentages and decimals are appropriate to the situation.

ASSESSMENT CRITERION 6

6. Parts of the whole are correctly described in terms of fractions, percentage, or decimals.

ASSESSMENT CRITERION 7

7. Justification is given in the form of diagrams, descriptions or mathematical symbols.

SPECIFIC OUTCOME 3

Find a given simple fractional part of a quantity or shape and change a quantity or shape.

OUTCOME NOTES

Find a given simple fractional part of a quantity or shape and change a quantity or shape by increasing or decreasing it by a fractional amount.

OUTCOME RANGE

Fractional parts and amounts are expressed in the form of fractions, decimals and percentages.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. The fractions, percentages or decimal calculated is correct and makes sense in terms of the situation.

ASSESSMENT CRITERION 2

2. Quantities of shapes are increased or decreased by the correct amounts in accordance with the increase or decrease required.

ASSESSMENT CRITERION 3

3. Justification is given in the form of diagrams, descriptions or mathematical symbols.

UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS

Evaluation of documentation and visit by SAQA or ETQA expert in the field of mathematics education.

Moderation:
According to system devised by the NSB.

UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE

Embedded knowledge is addressed as part of assessment criteria.
Assessment must include realistic and abstract situations.

Critical Cross-field Outcomes (CCFO):

UNIT STANDARD CCFO IDENTIFYING

Solve problems.

UNIT STANDARD CCFO COMMUNICATING

Communicate effectively using visual, mathematical and language skills in the modes of oral and written presentations.

QUALIFICATIONS UTILISING THIS UNIT STANDARD:

	ID	QUALIFICATION TITLE	PRE-2009 NQF LEVEL	NQF LEVEL	STATUS	END DATE	PRIMARY OR DELEGATED QA FUNCTIONARY
Fundamental	49013	National Certificate: Mining Operations: Underground Hard Rock	Level 2	NQF Level 02	Passed the End Date - Status was "Reregistered"	2007-08-16	Was MQA until Last Date for Achievement

PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS UNIT STANDARD:

This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here.

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