• engage in a range of speaking and listening interactions
• read and respond to a range of text types
• write for a variety of different purposes and contexts

Specific outcomes:

Engage in a range of speaking and listening interactions

• initiate and maintain conversation
• ask for and give information, explanations, directions and instructions
• make and respond to suggestions, offers and requests
• express and respond to opinions and arguments
• use and respond to emotive, aesthetic and creative aspects of oral language
• listen and respond critically to oral text

Read and respond to a range of texts

• understand the literal meaning of the text
• relate a text to own experience and knowledge
• interpret and respond critically to a text
• use appropriate reading strategies to suit the text and the purpose of the task
• identify the organization and structure of the text

Write for a variety of different purposes and contexts

• select and present content appropriate to the writing task
• organize and format text appropriately
• use language conventions appropriate to the nature of the writing task
• plan, draft and edit own writing

ABET LEVEL 3 (NUMERACY):

Purpose of the Course:
The education and training of adults in areas of primary knowledge in numeracy integrated with lifelong skills.

Course Modules:

• solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication and division
• solve realistic and abstract problems involving comparing quantities in terms of differences and ratios
• solve realistic and abstract problems involving grouping and equal and proportional sharing
• solve realistic and abstract problems involving rates and direct and indirect proportion
• solve realistic and abstract problems involving variables in non-symbolic form
• work with number patterns and relationships involving multiples, factors, even numbers, odd numbers and prime numbers
• demonstrate knowledge of different ways of expressing fractions and work with fractions, percentages and decimals to describe situations and calculate change situations
• demonstrate understanding of appropriate measurements and the relationships between different units of measures, and solve problems involving measurement, perimeter, area, volume and time
• construct and use tables and graphs to organize and interpret information
• describe, draw, analyse and construct planar shapes and patterns and spatial objects and describe, interpret and represent the environment geometrically
• apply concepts of lines of sight, views and perspectives in drawing, pictures, photographs and the environment to make sense of and decisions relative to the world around us
• describe routes and locations and draw simple maps
• demonstrate knowledge of the development of mathematics as a human activity and use an alternate number system to the base ten system

Specific outcomes:

Solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication and division

• estimate answers to applied problems and computations
• express the problem situation using words, mathematical expressions, equations and/or drawing
• devise and/or implement strategies to solve mathematical problems
• interpret, verify and justify solutions in terms of practical considerations

Solve realistic and abstract problems involving rates and direct and indirect proportion

• estimate the answers to applied problems and computations
• express the problem situation using words, mathematical expressions, equations and/or drawings
• devise and/or implement strategies to solve mathematical problems
• interpret, verify and justify solutions in terms of practical consideration

Solve realistic and abstract problems involving variables in non-symbolic form

• estimate the answers to applied problems and computations
• express the problem situation using words, mathematical expressions, equations and/or drawings
• devise and/or implement strategies to solve mathematical problems
• interpret, verify and justify solutions in terms of practical considerations

Work with number patterns and relationships involving multiples, factors, even numbers, odd numbers and prime numbers

• determine the multiples and factors of numbers
• classify numbers as even, odd and/or prime
• identify and extend numerical patterns

Demonstrate knowledge of different ways of expressing fractions and work with fractions, percentages and decimals to describe situations and calculate change situations

• describe situations or changes by expressing one quantity as a fraction, percentage, and/or decimal of another quantity, and recognize situations for using such descriptions
• describe situations involving parts of a whole as fractions, percentages and decimals of a whole and recognize situation for using descriptions
• find a given simple fractions, percentages or decimal of a quantity or shape and change a quantity or shape by increasing or decreasing it by that faction, percentages or decimal

Demonstrate understanding of appropriate measurements and the relationships between different units of measurements, and solve problems involving measurement, perimeter, area, volume and time

• measure and/or estimate length, mass, time, angles and temperature using simple instruments or reference measures for estimation purposes and express the measurement using informal and standard units of measure
• demonstrate understanding of the decimal relationship between units of measure, convert units of measure from one size to another and explain the use of conversions
• estimate measurements and answers to applied problems and computations
• express the problem situation using words, measurements, expressions, equations and/or drawings
• devise and/or implement strategies to solve measurement problems involving perimeter, area, volume and time
• interpret, verify and justify solutions in terms of practical considerations

Construct and use tables and graphs to organize and interpret information

• describe quantitative information which is represented graphically
• describe, analyse and interpret tables and graphs to determine and describe trends and patterns, and make predictions
• construct simple tables and graphs to represent quantitative data and select appropriate graphs according to the type of data
• explain the use of tables and graphs and evaluate graphs for appropriate representations of data and for possible misleading representation of data

Apply concepts of lines of sight, views and perspectives in drawings, pictures, photographs and the environment to make sense of and decisions relative to the world around us

• apply lines of sight to make decision about the placements of object and the effect of movements by the observer and the object on the view
• draw simple objects in perspective and/or parallel projection and different views of a simple, regular object, and demonstrate understanding of the relationship between 3-dimensional objects 2-dimensional views of objects
• explain information in photographs and drawings in terms of shapes, length, direction, angles and views

Describe routes and locations and draw simple maps

• describe routes and locations using everyday language
• describe routes and locations in terms of existing systems of coordinates
• use scales to interpret maps and draw simple maps to scale

Demonstrate knowledge of the development of mathematics as a human activity and use alternate number system to the base ten system

• explain how different ancient number systems work
• describe the development of our number system
• use an ancient number system to count and record quantities

© 2003 DCT Consulting SA (Pty) Ltd: 2001/013615/07

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