New Syllabus Primary Mathematics 4 24366k

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RBS Mathematics Series by Rex Book Store, Inc. RBS New Mathematics The Syllabus Series Primary Mathematics The NewEdition Syllabus Primary Mathematics Revised 2015 RBS Mathematics Series Revised Edition 2015 ISBN 978-971-23-6915-5 The New Syllabus Primary Mathematics ISBN 978-971-23-6915-5 Classification: Worktext Revised Edition 2015 (02-MB-00250-0) Classification: Worktext (02-MB-00250-0) ISBN 978-971-23-6915-5 Published, copyrighted 2015, and distributed by Rex Store, Inc. (RBSI) withoffice mainatoffice at 856 Reyes Nicanor Reyes Classification: Worktext (02-MB-00250-0) Published, copyrighted 2015, and distributed by Rex BookBook Store, Inc. (RBSI) with main 856 Nicanor Sr. St., Sampaloc, Published, copyrighted and distributed Rex Book Store, (RBSI) 856 Nicanor Published, copyrighted 2015, distributed byby Rex Book Store, Inc.Inc. (RBSI) withwith mainmain officeoffice at 856atNicanor Reyes Sr.Reyes St., Sampaloc, Sr. St., Sampaloc, Manila2015, / 736-0567 Tel.and Nos. 735-1364, 736-0567 Manila/Tel. Nos.: 735-1364, Sr.Manila/Tel. St., Sampaloc, / Tel. Nos. 735-1364, 736-0567 Nos.:Manila 735-1364, 736-0567 RBSI Branches: Branches: RBSI RBSI Branches: RBSI Branches:

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i i

Preface New Syllabus Primary Mathematics (NSPM) is a comprehensive Philippine-based instructional program, which adopts a spiral approach with carefully built-up mathematical concepts and processes, followed by consolidation for a continuum in learning within each grade level and across grades. This series consistently follows a Concrete-Pictorial-Abstract (C-P-A) approach, which forms an integral part of the learning process in line with the Singapore style. NSPM reflects a pupil-centered approach and incorporates the use of concrete aids, information technology, problem-solving and group work with these features:

Chapter Opener Familiar events or occurrences with accompanying questions or statements serve as a springboard to arouse pupils’ curiosity in mathematical concepts as seen and applied in daily lives. Lesson Objectives Concise guidelines show the focus of each lesson. Let’s Learn Introduction of new concepts through a C-P-A approach with the use of engaging pictures and manipulatives. Guided examples and problem-solving tips are provided to reinforce learning.

Exploration Zone / Activity Time Individual or group work for exploration of mathematical concepts, development of reasoning skills and application of heuristics to open-ended questions confident communication of mathematical ideas through games and digital resources. Activity Time is categorized into We Work Together, Have A Game! and IT’s Fun.

Practice and Let’s Try Questions and exercises involving application to real-life problems for further consolidation and immediate evaluation of individual learning.

Mind Workout Challenging, non-routine questions for pupils to apply relevant heuristics and to develop higher-order thinking skills. Math Journal Pupils reflect on the learning process and show understanding of the learned concepts to develop meta cognitive awareness to solve problems.

Self-Check and Summary Checklist and concise summary after each chapter for pupils to assess their own learning and connect all the learned concepts and processes. This serves as a revision guide in preparation for formal assessment.

Review Exercise at the end of each chapter to assess the pupils’ grasp of the learned concepts.

preface

iii

Contents 1

Numbers to 100 000

2

Multiplication and Division

• Counting to 100 000 • Comparing and Ordering Numbers • Approximation • Summary

3

• Multiplication • Division • Mental Multiplication and Division • Word Problems • Order of Operations • Summary

29 35 48 57 64 68

Revision 1

71

Factors and Multiples

• Factors and Multiples • Prime Numbers and Composite Numbers • Prime Factorization • Greatest Common Factor and Least Common Multiple • Word Problems • Summary

4



Fractions

• Improper Fractions and Mixed Numbers • Conversion of Fractions • Summary

iv

contents

2 10 17 25

74 80 86 91 105 113

118 123 128

5

More Fractions

• Adding Fractions • Subtracting Fractions • Word Problems • Summary

6



7

131 136 142 150

Decimals

• Recognizing Decimals • Conversion Between Fractions and Decimals • Comparing and Ordering Decimals • Rounding Off Decimals • Summary

155 165 170 175 181

Revision 2 Mid-Year Revision

184 186

Perpendicular and Parallel Lines • Drawing Lines • Summary

8



Angles

• Estimating and Measuring Angles • Drawing Angles • Summary

195 210

214 222 228

contents

v

9

Triangles and Quadrilaterals • Triangles • Quadrilaterals • Summary

10 Patterns and Algebra • Patterns and Algebra • Summary

11



Time

• Duration of Time • Word Problems • Summary

12

vi

contents

Perimeter

231 248 273

279 284

287 293 301

• Understanding Perimeter • Finding Perimeter • Word Problems • Conversion of Area • Summary

305 311 322 327 330

Revision 3

333

13

14



Area

• Area of Composite Figures • Area of Triangles, Parallelograms and Trapezoids • Word Problems • Summary

Volume

• Understanding Volume of Solid Figures • Volume of Rectangular Prisms • Word Problems • Summary

15

Strawberry

Banana



Statistics and Probability

337 343 357 365

369 378 387 392

• Statistics • Probability • Summary

395 404 410

Revision 4 End-of-Year Revision

413 416

Apple

contents

vii