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This text has photocopiable assessment sheets for each "Abacus" unit (or pairs of units). Each sheet is accompanied by guidance on how to use and interpret the sheet, including: advice on delivering the test; diagnostic advice; remediation activities; and oral mental maths questions.
Covering the background and philosophy of the "New Abacus" programme, this book shows how it delivers UK curricula requirements, offering examples of good practice in planning, and record-keeping and assessment. It has a specific correlation including NNF matching charts for England and Wales.
Covering the background and philosophy of the New Abacus programme, this book also shows how it delivers the Scottish curricula requirements, offering examples of good practice in planning, and record-keeping and assessment.
Covering the background and philosophy of the New Abacus programme, this book shows how it delivers UK curricula requirements, offering examples of good practice in planning, and record-keeping and assessment.
These homework texts provide an opportunity for shared activities between parent and child. They provide two activities a week, a variety of formal written practice, and informal shared practical activities. The activities focus on key number skills, and there is advice for parents.
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.
Aimed at pupils who are struggling with basic number work, this book is divided into maths skills. Each section provides alternative teaching strategies and practical techniques. Straightforward practical activities are suitable for a individual or group work.
Aimed at pupils requiring further enrichment and extension, the challenge books develop able pupils' mathematical understanding within a unit. They use open-ended and problem solving activities, but require minimum teacher input and minimum use of additional materials.
Provides details of the activities outlined on the Teacher Card. Differentiated activities are provided, from paired and group work, to whole class investigations. The activities provide an opportunity for further teaching or STA input. Key learning points are identified for each activity.