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- A Workbook for Grade 5 -

"Maths is Fun" is a series of workbooks for grades 3 to 7, compiled for the progressive development of mathematics. The "Maths is Fun" Grade 5 Workbook forms part of this series.

The book has been written with a view to filling the need to explain the basic essential concepts of mathematics in a practical and easily understood manner. In addition, several of the assignments have been developed so as to encourage the learners, in small group situations, to learn from each other (metalearning). In this way, the gap between pure knowledge and its application, is narrowed.

The mastering of the "Maths is Fun" series takes place in the same way in which a pyramid is constructed, for example the progressive building-up of knowledge on a firm basis. The techniques taught in the workbook will then form the foundation for the understanding of outcomes-based mathematics.

However, the most important task of the educator remains the preparation, explanation and application of the essential mathematical techniques which are required to place the learner in a position to benefit most from outcomes-based education in the higher grades. The workbook concept enables the learner to make the book "learner-friendly" (almost like graffiti!) and therefore, more accessible for reference, when needed.

Parents are increasingly becoming serious about he importance of their roles in the education of their children. Often they feel helpless when their children lack the ability to explain to them exactly what they do not understand about their schoolwork. ‘Maths is Fun" addresses this dilemma in that the explanations are clearly and simply laid out in a way that allows both parent and learner to understand the concept.

Should the learner himself buy the workbook, he would have the opportunity to refer to the book, should he/she have a problem in the next grade.

TABLE OF CONTENTS

- GRADE 5-

MODULE 1:

Learning Outcome 1:

Historic origin of numbers, our number system, place value, rounding off, addition and subtraction, multiplication.

Decimal numbers: tenths fractions. Financial: buying and selling, profit and loss.

Learning Outcome 2:

Determining of intervals and completing number rows, repeating of patterns and pattern numbers, describing of patterns in words, writing of open number sentences to describe a certain pattern, solving and completing number sentences by substitution, problem solving, graphs.

Learning outcome 3:

Recognizing and naming circles and polygons, drawing of polygons on squared paper.

Learning outcome 4:

Reading and writing of time on an analogue, digital and 24-hour clock, conversions between the various units of time.

Learning outcome 5:

Various types of graphs, bar graphs and pictograms.

MODULE 2:

Consolidation

Learning Outcome 1:

Counting numbers, subtracting and adding, multiplying multiples and powers of 10, estimating answers, common factors and common multiples, division as an inverse of multiplication, division by single-digit numbers, fractions, equivalent fractions, proper and improper fractions, mixed numbers, simplifying of fractions, decimal fractions, hundredths, money, operations in context with regards to hundredths.

Learning Outcome 2:

Reading, drawing and interpreting graphs, describing and making conclusions with regards to a graph.

Learning outcome 3:

Geometrical figures, investigating the properties of geometrical figures in terms of length, number of sides. Drawing of geometrical figures according to size and properties, parallel lines, getting to know real angles, line symmetry.

Learning outcome 4:

Length: converting one unit to another, measuring length in given units, perimeter, area.

Learning Outcome 5:

Using simple tables to represent data, including the counting of objects.

MODULE 3:

Consolidation

Learning Outcome 1:

Division: dividing by 1 and 10, dividing by a 2-digit number, various methods, order of operations, factors, prime factors, decimal fractions, hundredths, thousandths, financial budgets, fractions, conversion of improper fractions to mixed numbers and vice-versa, subtraction and addition of fractions with the same denominator and mixed numbers with the same denominator.

Learning Outcome 2:

Problem solving by various methods.

Learning outcome 3:

Rotational symmetry, tessellation, position on a coded grid.

Learning outcome 4:

Mass: estimating and measuring masses of various objects, conversion.

Learning Outcome 5:

Frequency of occurrences, judging which occurrences will definitely not take place, results of simple experiments such as the throwing of a dice.

MODULE 4:

Learning Outcome 1:

Fractions: subtracting and adding of mixed numbers and fractions within the same and different denominators, decimal numbers, conversion of decimal numbers to ordinary fractions and vice-versa, proportionality table.

Learning Outcome 2:

Writing of number sentences to describe a problem situation, completing tables which include direct proportionality.

Learning outcome 3:

Recognizing three-dimensional objects, identifying three-dimensional objects in everyday life, drawing of three-dimensional figures with reference to properties such as number, shapes, surfaces, and length of sides, making of models of three-dimensional objects, describing and drawing views of a simple object in different positions. Determining the position on a coded squared paper.

Learning outcome 4:

Capacity: determining capacity, volume.

Learning Outcome 5:

Gathering data by counting objects and answering questions, determining the median.