Discovering Mathematics is adapted from the leading Singapore course to fully match the English Key Stage 3 National Curriculum. This groundbreaking series harnesses authentic mastery principles through a Concrete-Pictorial-Abstract (CPA) approach, and use of precise mathematical language. Students learn by discovery, an approach pioneered by this course. Written by an experienced UK/Singapore team, this engaging book provides progression and practice for Higher tier students in Year 9. Topics are introduced through inclusive whole-class activities. Worked examples give clear steps of how to present solutions, with hints and discussion points to encourage paired, group and whole-class working. Practice exercises are differentiated into three levels, progressing from basic fluency to application to problem solving, with consolidation through end-of-chapter exercises. Short answers in the back of the book help students quickly check their understanding, with fully-worked solutions containing GCSE grades in the Teacher Guide. Exercises incorporate 'intelligent practice', with careful variation of the numbers to reinforce and deepen learning. Problem-solving skills are identified throughout, with two dedicated problem-solving sections to support skills development. Students are also encouraged to reflect upon and embed their learning through a Write in Your Journal in every chapter. This Student Book will help students discover the underlying principles of mathematics and set them on the road to mastery.