All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. |
SOUTH AFRICAN QUALIFICATIONS AUTHORITY |
REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE: |
Solve realistic and abstract problems involving grouping and equal and proportional sharing |
SAQA US ID | UNIT STANDARD TITLE | |||
13497 | Solve realistic and abstract problems involving grouping and equal and proportional sharing | |||
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 | 1 |
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 realistic and abstract problems in which it is appropriate to make group numbers and make use of equal and proportional sharing. People credited with this unit standard are able to estimate and calculate solutions to applied problems and computations. People are recognised for their ability to express the problem situation using words, mathematical expressions, equations and/or drawings, devise and implement strategies to solve mathematical problems and interpret, verify and justify solutions in terms of practical considerations. |
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 whole numbers, fractions, decimals and percentages'. |
UNIT STANDARD RANGE |
Problems involve those where it is necessary to group quantities and use equal and proportional sharing.
Any one of the quantities involved in the situation may be unknown and the numbers may be whole numbers or fractions expressed as fractions, decimals or percentages. Fractions can be expressed as simple fractions, percentages or decimals. |
Specific Outcomes and Assessment Criteria: |
SPECIFIC OUTCOME 1 |
Estimate the answers to applied problems and computations. |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Estimates are reasonably close to the exact figures as can be justified within the context. |
ASSESSMENT CRITERION 2 |
2. Estimates chosen facilitate easy calculations. |
ASSESSMENT CRITERION 3 |
3. The accuracy of estimates is justified by the context, need for speed and purposes of estimating. |
SPECIFIC OUTCOME 2 |
Express the problem situation using words, mathematical expressions, equations and/or drawings. |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Mathematical symbols are correct and used in the proper context. |
ASSESSMENT CRITERION 2 |
2. The description is consistent with the original statement of the problem. |
ASSESSMENT CRITERION 3 |
3. The layout is clear and structured so that it can be easily read. |
SPECIFIC OUTCOME 3 |
Devise and/or implement strategies to solve mathematical problems. |
OUTCOME RANGE |
Algorithms used can be standard or self generated.
Calculations with and without the use of a calculator. |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Appropriate operations are used. |
ASSESSMENT CRITERION 2 |
2. Algorithms are logical, internally consistent and justified by the context. |
ASSESSMENT CRITERION 3 |
3. Mathematical symbols are correct and used in the proper context. |
ASSESSMENT CRITERION 4 |
4. Procedures used lead to correct solutions that make sense in terms of the context. |
SPECIFIC OUTCOME 4 |
Interpret, verify and justify solutions. |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. The solution is checked to make sense in terms of the problem context. |
ASSESSMENT CRITERION 2 |
2. Calculator answers are interpreted realistically in context. |
ASSESSMENT CRITERION 3 |
3. Rounding up or down is appropriate to the context and follows established conventions in terms of the number of decimal places. |
ASSESSMENT CRITERION 4 |
4. Explanations of solutions take into account practical considerations. |
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 of the ability to solve problems must cover the full range of problem 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. |
UNIT STANDARD CCFO DEMONSTRATING |
Demonstrate an understanding of the world as a set of related systems. |
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. |
NONE |
All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. |