SAQA

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SOUTH AFRICAN QUALIFICATIONS AUTHORITY

REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE:

Working with numbers in various contexts

SAQA US ID	UNIT STANDARD TITLE
7447	Working with numbers in various contexts
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 4	Regular-Fundamental	Level 1	NQF Level 01	6
REGISTRATION STATUS		REGISTRATION START DATE	REGISTRATION END DATE	SAQA DECISION NUMBER
Passed the End Date - Status was "Reregistered"		2018-07-01	2023-06-30	SAQA 06120/18
LAST DATE FOR ENROLMENT		LAST DATE FOR ACHIEVEMENT
2026-06-30		2029-06-30

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

People credited with this unit standard are able to:

Express and interpret a range of contexts using mathematical symbols, and find applications for numerical models;
Solve a range of everyday problems using estimation and calculations;
Verify and justify solutions within different contexts;
Perform operations on simple and complex numerical expressions;
Describe and compare counting systems from different cultures;
Critically analyse the development of the base ten number system;
Apply the relationship between rational and whole numbers;
Apply the relationship between rational numbers and integers.

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING

The following competencies at ABET level 3 Numeracy are assumed to be in place:

Solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication and division;
Solve realistic and abstract problems involving variables in non-symbolic form;
Demonstrate knowledge of different ways of expressing fractions and work with fractions, percentages and decimals to describe situations and calculate change situations;
Demonstrate knowledge of the development of mathematics as a human activity and use alternate number system to the base ten system.

Specific Outcomes and Assessment Criteria:

SPECIFIC OUTCOME 1

Express and interpret a range of contexts using mathematical symbols.

OUTCOME NOTES

Express and interpret a range of contexts using mathematical symbols and find applications for numerical models.

OUTCOME RANGE

Everyday problems, numerical contexts.
Numerical models include equations, expressions and terms.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. Mathematical sentences reflect the situation completely and accurately.

ASSESSMENT CRITERION RANGE

Everyday problems, numerical contexts.
Numerical models include equations, expressions and terms.

ASSESSMENT CRITERION 2

2. The form of expression is appropriate to the context.

ASSESSMENT CRITERION 3

3. Application for given numerical models are developed such that the meaning of symbols and relationships between them are clarified.

SPECIFIC OUTCOME 2

Solve a range of everyday problems using estimation and calculations.

OUTCOME RANGE

Rounding off and truncating, with or without calculator, combination, separation, comparison, equalisation, sharing and grouping.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. Problem solving strategies are based on a correct interpretation of the problem situation.

ASSESSMENT CRITERION 2

2. Estimates can be justified within context.

ASSESSMENT CRITERION 3

3. Calculations are performed accurately.

ASSESSMENT CRITERION 4

4. Calculations follow some form of logical reasoning process, which is presented clearly.

ASSESSMENT CRITERION 5

5. Solutions are correct in terms of the context.

SPECIFIC OUTCOME 3

Verify and justify solutions within different contexts.

OUTCOME RANGE

Solutions derived by learners and by others.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. The reasoning process is explained clearly.

ASSESSMENT CRITERION 2

2. Solutions are justified in terms of the context.

ASSESSMENT CRITERION RANGE

Appropriate and inappropriate solutions.

ASSESSMENT CRITERION 3

3. Solutions are shown to be consistent with estimations and vice versa.

SPECIFIC OUTCOME 4

Perform operations on simple and complex numerical expressions.

OUTCOME RANGE

Four basic operations in all combinations.
Expressions involving exponents that can be calculated without a calculator.
Operations to be performed with and without a calculator.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. Operations are performed according to the conventions governing the order of operations.

ASSESSMENT CRITERION 2

2. Solutions are correct.

SPECIFIC OUTCOME 5

Describe and compare counting systems from different cultures.

OUTCOME RANGE

Own, African culture other than own, one other.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

3. Numbers are translated from one base system to another.

ASSESSMENT CRITERION RANGE

Base 2, 5, 10, and 16.

ASSESSMENT CRITERION 2

1. Descriptions show understanding of how counting systems developed and their significance.

ASSESSMENT CRITERION 3

2. Descriptions show examples of how the systems might have been used, and the limitations of the system.

SPECIFIC OUTCOME 6

Critically analyse the development of the base ten number system.

OUTCOME RANGE

Place value, role of 0 in our number system, patterned nature of whole numbers, history and contestations.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. The development and significance of zero is explained.

ASSESSMENT CRITERION 2

2. Understanding of the place value of numbers is demonstrated.

ASSESSMENT CRITERION RANGE

Expansion of numbers in different ways, the value of a numerical symbol in a number.

ASSESSMENT CRITERION 3

3. The patterned nature of whole numbers and its historical development are described.

ASSESSMENT CRITERION 4

4. The contestations around, and use and popularisation of the decimal number system are described.

ASSESSMENT CRITERION RANGE

Uses in economics and politics.

SPECIFIC OUTCOME 7

Analyse the relationship between rational and whole numbers.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. Demonstrations describe the increasing density of the system.

ASSESSMENT CRITERION 2

2. Demonstrations show that whole numbers are a subset of rational numbers.

ASSESSMENT CRITERION 3

3. The properties of whole numbers and rational numbers are given.

SPECIFIC OUTCOME 8

Analyse the relationship between rational numbers and integers.

ASSESSMENT CRITERIA

ASSESSMENT CRITERION 1

1. Demonstrations describe the increasing density of the system.

ASSESSMENT CRITERION 2

2. Demonstrations show that whole numbers are a subset of rational numbers.

ASSESSMENT CRITERION 3

3. The properties of whole numbers and rational numbers are given.

Critical Cross-field Outcomes (CCFO):

UNIT STANDARD CCFO IDENTIFYING

Identify and solve problems by working with numbers in various contexts.

UNIT STANDARD CCFO COLLECTING

Collect and analyse mathematical information.

UNIT STANDARD CCFO COMMUNICATING

Communicate effectively using mathematical symbols.

REREGISTRATION HISTORY

As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015.

QUALIFICATIONS UTILISING THIS UNIT STANDARD:

	ID	QUALIFICATION TITLE	PRE-2009 NQF LEVEL	NQF LEVEL	STATUS	END DATE	PRIMARY OR DELEGATED QA FUNCTIONARY
Fundamental	48642	General Education and Training Certificate Housing: Housing Consumer Education	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2009-05-13	Was CETA until Last Date for Achievement
Fundamental	24153	General Education and Training Certificate: Adult Basic Education and Training	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2008-09-13	Was ETDP SETA until Last Date for Achievement
Fundamental	49606	General Education and Training Certificate: Ancillary Health Care	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	HW SETA
Fundamental	50584	General Education and Training Certificate: Clothing Manufacturing Processes	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	FPMSETA
Fundamental	22971	General Education and Training Certificate: Conservation	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2012-06-30	CATHSSETA
Fundamental	49411	General Education and Training Certificate: Construction	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	CETA
Fundamental	23093	General Education and Training Certificate: Development Practice	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	ETDP SETA
Fundamental	49552	General Education and Training Certificate: Environmental Practice	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	LG SETA
Fundamental	50225	General Education and Training Certificate: General Forestry	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	FPMSETA
Fundamental	49753	General Education and Training Certificate: General Technical Practice	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	EWSETA
Fundamental	49668	General Education and Training Certificate: Horticulture	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	AgriSETA
Fundamental	57937	General Education and Training Certificate: Hygiene and Cleaning	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	SERVICES
Fundamental	49583	General Education and Training Certificate: Poultry Processing	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	AgriSETA
Fundamental	49580	General Education and Training Certificate: Poultry Production	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	AgriSETA
Fundamental	22190	General Education and Training Certificate: Tourism	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2012-06-30	CATHSSETA
Fundamental	48495	General Education and Training Certificate: Water Services	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	EWSETA
Fundamental	23193	GETC in Ancillary Health Care	Level 1	NQF Level 01	Passed the End Date - Status was "Registered"	2005-02-13	Was HW SETA until Last Date for Achievement
Fundamental	23853	GETC: Domestic Services	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	SERVICES
Fundamental	49082	GETC: Wood Products Processing	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	FPMSETA
Fundamental	23253	National Certificate (GETC): Manufacturing, Engineering and Related Activities	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	MERSETA
Fundamental	48970	National Certificate: Animal Production	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	AgriSETA
Fundamental	22865	National Certificate: Chemical Operations	Level 1	NQF Level 01	Passed the End Date - Status was "Registered"	2005-10-09	Was CHIETA until Last Date for Achievement
Fundamental	14406	National Certificate: Early Childhood Development: Preschool Phase	Level 1	NQF Level 01	Passed the End Date - Status was "Registered"	2003-10-11	Was ETDP SETA until Last Date for Achievement
Fundamental	20287	National Certificate: Farming	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	AgriSETA
Fundamental	20173	National Certificate: Hygiene and Cleaning	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2007-02-21	Was SERVICES until Last Date for Achievement
Fundamental	48971	National Certificate: Mixed Farming Systems	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	AgriSETA
Fundamental	48972	National Certificate: Plant Production	Level 1	NQF Level 01	Passed the End Date - Status was "Reregistered"	2023-06-30	AgriSETA
Fundamental	21798	Certificate: Telecommunications for Customer Premises Equipment	Level 2	NQF Level 02	Passed the End Date - Status was "Reregistered"	2009-10-03	Was MICTS until Last Date for Achievement
Fundamental	49014	National Certificate: Rockbreaking: Underground Hard Rock	Level 3	NQF Level 03	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.

1.	1 Classie Africa
2.	A4 Consultancy CC
3.	African Apex Apparel (Pty) Ltd
4.	Afrivet Training Services (Pty) Ltd
5.	Agrioperations Hub Pty Ltd
6.	Amabamba Recruitment
7.	Amaloba Horticultural Services
8.	Arden School of Management (Pty) Ltd
9.	ASSMANG (PTY) LTD
10.	ASSMANG BEESHOEK MINE
11.	Atom Agric and Training (Pty) Ltd
12.	AVAX SA 481 CC. T/A Mandisa Development Services
13.	Balemi Consulting Pty Ltd
14.	BARBERTON MINES (PTY) LTD
15.	Biofuels Business Incubators NPC
16.	Boikgantsho Consulting & Events
17.	BOKONI PLATINUM MINES (PTY) LTD
18.	Buena Vista Learning Academy
19.	Bumunhu Services Providers Cc
20.	Cedara College of Agriculture
21.	Cre8tion Projects 6 PTY LTD
22.	Cumlaude Institute (PTY) Ltd
23.	Deloitte
24.	DEW CRISP PTY LTD
25.	Dihwai Food Cultural and Agricultural Services
26.	Dlamini The Siba PTY LTD
27.	ELSENBURG AGRICULTURAL COLLEGE
28.	Elvis Koena Consulting (Pty) Ltd
29.	ERGO BUSINESS DEVELOPMENT ACADEMY NPC
30.	Esayidi FET College - Central Office
31.	Escay Catering and other Services
32.	EXXARO COAL (PTY) LTD
33.	Farm for Africa Training and Development
34.	Food and Trees for Africa
35.	Fort Cox Agricultural College
36.	FOSKOR (PTY) LTD
37.	Furniture World Training Centre
38.	GA Community Care Consultants
39.	Ghoenas Kraal Opleiding Sentrum
40.	Goldfields FET College
41.	Green Futures
42.	Greenrim Training
43.	HARMONY GOLD MINING CO LTD
44.	Heedmorine Training
45.	HLUVUKA TRAINING AND CONSULTING
46.	Hot To Go Training College and Services
47.	Impact Plus Training Consultants
48.	IMPALA PLATINUM SERVICES LTD
49.	Interstate Clearing 092 (Pty) Ltd
50.	IQ Skills Academy (PTY) LTD.
51.	Josmap Training Institute
52.	KayDee Project Management Cc
53.	Kelmik Training Centre (Pty) Ltd
54.	Kgopane Trading Enterprise
55.	Kimbali Holdings
56.	KMK Training Services (PTY) Ltd
57.	Knowledge For Ever
58.	KUMBA IRON ORE (SISHEN)
59.	Kwevhos Business Enterprise
60.	Legal Environment Safety & Health Requirements cc
61.	Leruo ke Matla Training and Enterprise Development Services
62.	Longmore Training and Developen
63.	Lovedale TVET College
64.	Maishamalema Development Training
65.	Mananthatshema Skills Dev. Centre
66.	Marang Women in Agric and Development
67.	MARS Business Consulting
68.	Mathapuso Construction and Projects
69.	Matlharini Multi Centre Skills
70.	Matotomana Training & General Trading
71.	Mcebo Technologies
72.	Mdaka Omnyama Trading and Projects
73.	Medu Skills Consultants
74.	Mnambithi TVET College
75.	Mobile Agri Skills Development and Training NPC
76.	Modiehi Consulting & Projects (Pty) Ltd
77.	Mogaladi Business Enterprise
78.	Montshepetsa Bosui Farming & Training Cnt
79.	Mortarboard Training Solutions
80.	Morwa Agri-development cc
81.	Mpontshe Training
82.	Mthashana FET College - Vryheid Campus
83.	MURRAY & ROBERTS CEMENTATION (PTY)LTD
84.	Mvelo Consultant
85.	National Institute For The Deaf - NID
86.	Neopeo Trading & Projects
87.	New Heights 1082 Pty Ltd
88.	Ngwato Wa Mphela Agriculture Training Services
89.	Nkalebetja Agricultural Projects and Management services
90.	Nkangala Public FET College - Central Office
91.	Nophelo Training Centre
92.	NORTHAM PLATINUM LTD
93.	Novi General Services
94.	Owen Sithole College of Agriculture
95.	P N K Management Services
96.	PERENNIAL SERVICES PTY LTD
97.	Phepha Consulting Services
98.	Phill Skills and Development Institute
99.	Premier Agric (Pty) Ltd
100.	Progressive Environmental Projects
101.	Progressive School of Business and Engineering (Pty)
102.	Redefined Skills Training & Development (Pty) Ltd
103.	Remoshomong Trading Enterprise
104.	Retsogile Education and Training
105.	RICHARDS BAY MINING PTY LTD
106.	RLSTP Training & Development (PTY) LTD.
107.	SBJ Shadikamang Agriculture
108.	Scientific Roots (Pty) Ltd
109.	Sekhukhune FET College - Central Office
110.	Selipha Trading (Pty) Ltd
111.	SENZEKO EXECUTIVE RISK CC
112.	Setlakala Business Development
113.	Seza Bantu Rural Agricultural Projects
114.	SIBANYE GOLD ACADEMY PROPRIETARY LIMITED
115.	Silver Falls Scientific
116.	Simmek Holdings
117.	Siyafundisa I Africa
118.	Siyasanga Training Centre
119.	South African Forestry Training College
120.	STUDIO 05 HOUSE OF FASHION
121.	Suidwes Beleggings Eiendoms Beperk
122.	Taletso FET College - Central Office
123.	Tasc Business Consulting and Training
124.	Tebkhan Investments (Pty) Ltd
125.	The Brokers Learning Centre
126.	The Skills Development Hub (Pty) Ltd
127.	THUNGELA OPERATIONS (PTY) LTD
128.	Thuto Boshwa Skills Development Services
129.	Thutong Learning College
130.	Timothy Fasheun Group Enviromentors (Pty) Ltd
131.	Tinotsile Training and Development
132.	Tlatlana Events Solution and Communication
133.	TM Mashwara and Projects
134.	Tompi Seleka Agricultural College
135.	TPN Training and Recruitment cc
136.	TRAIN THE NATION AND ASSOCIATES (PTY) LTD
137.	Transafric Consulting Pty Ltd
138.	Tripple R Training Provider
139.	Tshenkeng's Consulting
140.	U AND G TRAINING (PTY) LTD
141.	Umfolozi FET College
142.	University of Venda
143.	Vari Holdings (Pty)Ltd
144.	VENETIA MINE
145.	VINE APPAREL (PTY)LTD
146.	Voyano Project Management
147.	VPK BUSINESS VENTURE C C
148.	Washa 2 Training & Projects
149.	Waterberg FET College - Central Office
150.	Westco Agri Training
151.	Working Decisions Cc
152.	Yangantle Trading