Year 12
188 pages (Book A) / 256 pages (Book B)
think! Mathematicsthink! Mathematics is a series of textbooks designed to provide students valuable learning experiences and a deeper appreciation of mathematics by engaging their minds and hearts. The series covers the MOE Syllabus for Mathematics implemented from 2020, and reflects the important shifts towards the development of 21st century competencies. Underpinning the writing of this textbook is our belief that all students can learn and appreciate mathematics. This textbook series will be a meaningful companion for students as they embark on an exciting journey in secondary school mathematics through collaborative and self-directed learning.
Special features
- Chapter Opener and Introductory Problem motivate the development of concepts
- Investigation, Class Discussion, Thinking time, Journal Writing and Performance Task highlight mathematics as a tool and as a discipline
- Real-life examples, applications and Problems in Real-World Contexts emphasise the relevance and beauty of mathematics
- Worked Examples, Practise Now and Exercise questions ensure a high baseline of mastery
- Challenge Yourself problems provide extension opportunities
- Reflection prompts encourage metacognition
- ICT tools promote visualisation and exploration of concepts
- Invitation to Code and Opportunities to code expose students to this increasingly prominent skill of the future
- Looking Back and Summary consolidate the big ideas, concepts and knowledge encountered in each chapter
Key feature of each chapter has an opening overveiw of the topic which includes rationales for learning to arouse students interest and big ideas that connect the concepts within the chapter or with other chapters. Provides introdctory problems with more specific motivation to learnin gthe topic, using a problem that helps delevop a concept, or an application problem that students will revisit after they have gained necessary knowledge form the chapter.
Worked example are give to show students how to present their working clearly when solving related problems. Exercise questions are classified into three levels - Basic, intermdiate and advanced. Questions at the basic level are usually short-answer items to test basic concepts and skills. The intermdiate leve contains more structured quesitons, while the advanced level involes applications and higher order thinking skills.
Proformace Task consist of mini-projects designed to develop research and presentation skills of students, through writing a report and/or giving an oral presenation.
As well introductory problems are revisited in later the chapter that provide a look back to help students to internalise the big ides they have learnt. A summary on the key concepts taught in the chapter in a succinct manner. Questions are include to help students to reflect on their learning.
Challenge problems are included at the end of each chapter to extend the leraning of students as well as review exerciese to help consolidate their learning. Problems are in real-world context which spread throughout the entire textbook. In particular, more structured Problems in Real-World Context are placed in a separate section at the end of Textbook B.
Book A includes:
Chapter 1: Primes, Highest Common Factors and Lowest Common Mulitples.
Chapter 2: Integers, Rational Numbers and Real Numbers
Chapter 3: Approximation and Estimates
Chapter 4: Basic Algebra and Algebraci Manipluation
Chapter 5: Linear Equations
Chapter 6: Linear Funcitons and Graphs
Chapter 7: Number Patterns
Book B includes:
Chapter 8: Percentages
Chapter 9: Ratio and Rate
Chapter 10: Basic Geometry
Chapter 11: Polygons and Geometrical Construction
Chapter 12: Perimeter and Area of Plane Figures
Chapter 13: Volume and Surface Area of Prisms and Cylinders
Chatper 14: Statistical Data Handling
Pack comes with A & B Textbooks in hardcopies and digital format.