Upper Primary Mathematics Fractions - Commonwealth of Learning

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MODULE WRITERS Mr. Yamboto Mumbula: Writing Team Leader Senior Inspector of Schools Ministry of Education Lusaka, Zambia Ms. Patricia Mbumwae: Lecturer (Primary Mathematics) NISTCOL, Chalimbana Lusaka, Zambia Mr. Zanzini B. Ndhlovu: Lecturer (Maths Methods) University of Zambia Lusaka, Zambia Mr. Bentry Nkhata: Lecturer (Maths Methods) University of Zambia Lusaka, Zambia FACILITATORS/RESOURCE PERSONS Mr. Simon Chiputa: Co-ordinator, Teacher Education Ministry of Education Lusaka, Zambia PROJECT MANAGEMENT & DESIGN Ms. Kgomotso Motlotle: Education Specialist, Teacher Training The Commonwealth of Learning (COL) Vancouver, BC, Canada Mr. David Rogers: Post-production Editor Open Learning Agency Victoria, BC, Canada Ms. Sandy Reber: Graphics & desktop publishing Reber Creative Victoria, BC, Canada v
UPPER PRIMARY MATHEMATICS PROGRAMME Introduction Welcome to the programme in Teaching Upper Primary Mathematics. This series of five modules is designed to help you strengthen your knowledge of mathematics topics and acquire more instructional strategies for teaching mathematics in the classroom. Each of the five modules in the mathematics series provides an opportunity to apply theory to practice. Learning about mathematics entails the development of practical skills as well as theoretical knowledge. Each topic includes examples of how mathematics is used in practice and suggestions for classroom activities that allow students to explore the maths for themselves. Each module also explores several instructional strategies that can be used in the mathematics classroom and provides you with an opportunity to apply these strategies in practical classroom activities. Each module examines the reasons for using a particular strategy in the classroom and provides a guide for the best use of each strategy, given the topic, context, and goals. The guiding principles of these modules are to help make the connection between theory and practice, to apply instructional theory to practice in the classroom situation, and to support you, as you, in turn, help your students to apply mathematics to practical classroom work. Programme Goals This programme is designed to help you: • strengthen your understanding of mathematics topics • expand the range of instructional strategies that you can use in the mathematics classroom Programme Objectives By the time you have completed this programme, you should be able to: • guide students as they work in teams on practical projects in mathematics, and help them to work effectively as members of a group • use questioning and explanation strategies to help students learn new concepts and to support students in their problem solving activities • prepare your own portfolio of teaching activities vi
Page 1 and 2: Module 2 Upper Primary Mathematics
Page 3 and 4: SCIENCE, TECHNOLOGY, AND MATHEMATIC
Page 5: CONTACTS FOR THE PROGRAMME The Comm
Page 9 and 10: Working with colleagues If there ar
Page 11 and 12: CONTENTS Module 2: Fractions Module
Page 13 and 14: Unit 1: Common Fractions Introducti
Page 15 and 16: Variety of Examples When you demons
Page 17 and 18: Reflection Mary went to visit her f
Page 19 and 20: Reflection Is it right when introdu
Page 21 and 22: • What product tells how many par
Page 23 and 24: Unit 1 Test: Common Fractions 5 1.
Page 25 and 26: 3. 4. It is difficult to name the s
Page 27 and 28: Reflection When modelling addition,
Page 29 and 30: 0 2 3 Figure 2.5: Comparison: subtr
Page 31 and 32: 2. You are given two measuring cups
Page 33 and 34: 3 2 3. Write three story problems o
Page 35 and 36: 5. Let x be the weight, in kg, of f
Page 37 and 38: 3 4 3 3 × 4 Figure 3.1 3 In the ar
Page 39 and 40: Practice Activity 2 2 1. Discuss wi
Page 41 and 42: Practice Activity 4 • Arrange pup
Page 43 and 44: Algorithms such as ‘common denomi
Page 45 and 46: Self Assessment 1. Find Misheck’s
Page 47 and 48: Answers for Unit Activities Unit Ac
Page 49 and 50: 3 20 0 5 20 10 20 15 20 3 ÷ 5 = 3
Page 51 and 52: 5. Joyce has difficulty determining
Page 53 and 54: Figure 4.1 1 4 5 Ask students to sh
Page 55 and 56: Reflection How would you introduce
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Self Assessment 1 Do the sums below
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1 1 1 0.3 1 Adding the parts of the
Page 61 and 62:
Multiplication of a Decimal Fractio
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Self Assessment 3 1. Describe how d
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Answers for Self Assessments Self A
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Unit 5: Ratios, Rates, and Proporti
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Rates In the sugar cane exercise, y
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Practice Activity 5 Set the followi
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Practice Activity 6 This activity r
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Practice Activity 9 (using graphs)
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Self Assessment 4 1. Ng’endwa’s
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Answers for Unit Activities Unit Ac
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“percent” is used. The term per
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Self Assessment 1 1. Make use of eq
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The idea of using a number line may
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What percent of the original square
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0 40 Problems of Percent Increase a
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Practice Activity 5 Have pupils pla
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Unit Test Section A 1. Chiyumba sel
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References Ashlock R. A., Error Pat
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Upper Primary Mathematics Fractions - Commonwealth of Learning

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