Ensure all pupils make progress relative to their starting points with quick and early intervention at any point in KS3 or GCSE maths. Step 5 write-in workbook roughly equates to the previous national curriculum level 7. Easy to use for one-to-one with parents/mentors/tutors/teachers/non specialists Help all students to make progress with clear guidance and practice on the page Developed with the Head of Maths at Colne Community College, Brightlingsea, which has recently achieved an outstanding in Ofsted and improved GCSE results year on year Secure catch-up money with an accompanying customisable letter to send to parents, teaching assistants etc. to explain the course and help with giving feedback in the books Slot into your timetable with hours of work specified in the contents list Encourage pupils with the appropriate grown-up design that looks similar to main textbooks Focus on basic skills and fluency Show how it's done with a worked example, then practice questions to check understanding Traffic-light progress and confidence with the planning grid of contents Measure progress at the end of each strand with the comments, next steps and misconceptions box to fill in Develop fluency with short mental maths tests at the back Celebrate progress with the certificate of achievement at the back Use in conjunction with Collins diagnostic assessment and the rest of the Maths Frameworking course Access answers online

Collins International Primary Maths supports best practice in primary maths teaching, whilst encouraging teacher professionalism and autonomy. A wealth of supporting digital assets are provided for every lesson, including slideshows, tools and games to ensure they are rich, lively and engaging. Each lesson is based on a 'big idea', providing an engaging, exciting theme which is anchored in a real-life international context. Activities, exercises and investigations provide opportunities for learners to apply their knowledge, skills and understanding of the mathematics they are learning. The course develops learners' Thinking and Working Mathematically skills and offers opportunities for group and individual learning. The series also supports Cambridge Global Perspectives (TM) with activities that develop and practise key skills. Provides learner support as part of a set of resources for the Cambridge Primary curriculum framework (0096) from 2020. This series is endorsed by Cambridge Assessment International Education to support the new curriculum framework 0096 from 2020.

Smart-Kids Mathematics Grade 5 was created especially for South African children. The book is compliant with CAPS and is at exactly the right level for Grade 5 children. Smart-Kids Mathematics Grade 5 was created especially for South African children. The book is compliant with CAPS and is at exactly the right level for Grade 5 children.

This book is spot-on for children looking for 11+ Maths preparation in bite-sized chunks. It contains more than thirty 10-Minute Tests, all focused on Maths Word Problems. To solve the problems, students will first need to read the text and extract the important information. Throughout the book we've thrown in some fun puzzle pages as a break from more serious 11+ practice. We've also included complete step-by-step answers to every question in a pull-out section, plus a helpful chart to track pupils' progress. This book is ideal for the 11+ tests set by GL Assessment and other test providers, and provides excellent practice for the Kent Test. A separate edition for the CEM tests is also available. This book also comes with a free Online Edition - just use the unique access code printed inside the cover to access it on a PC, Mac or tablet!

What do children love? Minecraft! What will make them love Math? Learning it with Minecraft! This kid-friendly workbook features well-loved video game characters and concepts to reinforce the development of third and fourth grade math skills laid out in the national Common Core State Standards. Colorfully-illustrated and high-interest word problems use beloved items from the Overworld, the Nether, and the End to turn math into an exciting adventure. Whether they?re multiplying the number of mobs they spawn or dividing items in their inventory among their treasure chests, the problems in this workbook will grab the attention of even the most reluctant student. They'll practice all of the word problem skills they need in school, including: Grade 3: Use multiplication and division within 100 to solve word problems Multiplying and dividing three whole numbers Solve two-step word problems using addition, subtraction, multiplication, or division Grade 4: Solve word problems involving addition and subtraction of fractions Solve word problems involving multiplication of a fraction by a whole number Solving for area and perimeter Skip to the pages that suit your child's needs and learning style or start at the beginning and advance page by page-it's up to you! As the workbook progresses, the problems become more challenging so that learners of all levels can enjoy an exciting, skill-building math adventure. Perfect for Minecrafters who learn at all paces, Math for Minecrafters: Word Problems is as fun as it is educational-and is just what young learners need to get ahead academically! This educational series is created especially for readers who love the fight of good vs. evil, magical academies like Hogwarts in the Harry Potter saga, and games like Minecraft, Terraria, and Pokemon GO.

Level: KS1 Subject: Maths An engaging Addition and Subtraction activity book to really help boost your child's progress at every stage of their learning! Including helpful questions and answers, this Maths book provides reassurance whilst supporting your child's learning at home. Combining useful Maths practice with engaging, colourful illustrations, this Addition and Subtraction practice book helps to boost your child's confidence and develop good learning habits for life. Each fun activity is designed to give your child a real sense of achievement. Included in this book: questions that allow children to practise the important skills learned at school colourful activities that make learning fun and motivate children to learn at home helpful tips and answers so that you can support your child's learning

Exam Board: GL Assessment Level & Subject: 11+ Maths Suitable for the 2023 tests Practice for your 11+ test in short, quick question bursts Making sure your child is ready for the 11+ GL Assessment Tests by familiarising them with the real thing will help them do their very best in the 2023 11+ tests. The Collins 11+ Quick Practice Test range gives children plenty of opportunity to test themselves in short, timed bursts, helping to build confidence and ensure 11 Plus test success. Children can have a go at realistic, 11 plus test-style questions 22 timed tests get them used to working under pressure Example answers are worked out to show what examiners are looking for All answers are explained to help improve understanding and check progress For children age 9-10, the Collins 11+ Maths Quick Practice Tests (9781844199112) is also available. Previously published as Letts

This book is designed for use throughout the year, whilst the topic is being studied. By working though the worked examples and advice from examiners, students learn how to avoid the common pitfalls and gain maximum marks in the exam. Plenty of questions are included for students to practice, and there is a link back to the Students' Books for further study. The Examiners' tips then reveal how to maximize marks.

Teaching Mathematics: Foundation to Senior Phase is the second edition of the first South African text on mathematics methodology. It includes reference to the South African mathematics syllabus as contained in the Curriculum and Assessment Policy Statement (CAPS) and focuses on typical challenges faced in the mathematics classroom in South Africa and southern African countries. Teaching Mathematics also contributes to the Africanisation of the discipline of mathematics education by stimulating thought and research about African perspectives and indigenous knowledge, including the language of location and the importance of using place-based examples in the classroom. The text makes use of African contexts in the teaching of mathematics, using African examples to which learners can relate, such as local names, artefacts, and elements of cultural heritage. Teaching Mathematics has a unique structure that takes readers through the stages of how learners learn mathem at ics, and how to teach mathematics, before drilling down to specific themes. The book provides practical pedagogy that will connect student teachers to the bigger picture of mathematics. This textbook will encourage student teachers to feel positive about mathematics and their role in teaching it, and to enter the classroom confident that they are equipped with the practical knowledge, skills and strategies for teaching mathematics.

This pack from CGP contains two sets of complete practice exams, with detailed answers and mark schemes. They match the content and style of the Edexcel Grade 9-1 Higher level Maths GCSE exams, with a separate booklet for each paper - just like the real thing. The mark scheme is straightforward to use, including hints and tips, making this the perfect way to prepare for the exams.

From the creators of the bestselling Brain Games for Clever Kids, this book contains mental maths conundrums to solve.

Clever Kids can test their mental maths by working out simple fractions, times tables, telling the time and much more. All the answers can be found at the back of the book.

From best-selling puzzle book author Gareth Moore, creator of the chart-topping success Brain Games for Clever Kids that has sold over 70,000 copies in the UK.

Highly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression: *Full ability range: Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3)* Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test* Reflection (metacognition) is explicitly encouraged to build perseverance and confidence* STEM and Finance lessons highlight these important links to using maths in real life* Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE If you're an institution you can get the answers for this book as a free download. If you are a parent or tutor please contact customer services at [email protected] who will send you the download directly.

A volume in Research on Technology and the Teaching and Learning of Mathematics: Syntheses, Cases, and Perspectives According to NCTM's Principles and Standards for School Mathematics, ""Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students' learning."" How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The first volume provides insight into what research suggests about the nature of mathematics learning in technological environments. Included in this volume are syntheses of research on technology in the learning of rational number, algebra, elementary and secondary geometry, mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equity issues in the use of technology in mathematics instruction.Instead of simply reporting achievement scores of students who use technology in their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technology affects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research has provided important guidance to the field.

Heinemann Active Maths' bright and lively Pupil Books have been designed to further consolidate children's learning through independent practice. They are closely linked to the Teacher Activity Cards and each Heinemann Active Maths outcome. Each Pupil Book contains: 'I can...' statements to encourage self-assessment 'Rocket' questions to extend and challenge children's learning Teacher Activity Card references so you know which card the Pupil Book pages link to.

What makes the Platinum Mathematical literacy grade 12 course unique? Key words boxes, remember boxes, Did you know? and term summaries in the learner's book, enhance understanding of important concepts; worked examples prior to exercises, provide a clear, visual example for learners to follow when completing exercises; margin notes assist learners to further understand important concepts; revision tests after each topic, in the learner's book serve as adequate test and exam preparation; term 4 in the learner's book focuses completely on exam revision and exam preparation; photocopiable target worksheets for each topic provide for additional remediation and extension exercises; photocopiable tests and examinations which satisfy CAPS formal assessment requirements; all formal assessments are fully photocopiable and have detailed memoranda attached. Platinum - simply superior: Superior CAPS coverage and written by expert authors; superior illustrations and activities to improve results and motivate learners; superior teacher support to save time and make teaching easy, including photocopiable worksheets; superior quality = exam success!

Level: KS3 Subject: Maths Knowledge organisers and retrieval practice together in one book! Embed the essentials across all topics in Year 7 Maths. All of the knowledge organising and retrieving you need for all topics from KS3 Maths Year 7 in one handy book. Clear and simple revision providing all of the subject essentials Short, snappy explanations with lots of images and diagrams for each topic with a recall test to match Test how much you've remembered with a mixed topic recall test section at the end Answers at the back of the book Perfect for catch up, retrieval and intervention

This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves. It is the result of several years of the authors' combined university teaching experience stimulated by sustained interest in advanced mathematical thinking and learning, alongside established research careers in analytic topology. Point-set topology is a discipline that needs relatively little background knowledge, but sufficient determination to grasp ideas precisely and to argue with straight and careful logic. Research and long experience in undergraduate mathematics education suggests that an optimal way to learn such a subject is to teach it to yourself, pro-actively, by guided reading of brief skeleton notes and by doing your own spadework to fill in the details and to flesh out the examples. This text will facilitate such an approach for those learners who opt to do it this way and for those instructors who would like to encourage this so-called 'Moore approach', even for a modest segment of the teaching term or for part of the class. In reality, most students simply do not have the combination of time, background and motivation needed to implement such a plan fully. The accessibility, flexibility and completeness of this text enable it to be used equally effectively for more conventional instructor-led courses. Critically, it furnishes a rich variety of exercises and examples, many of which have specimen solutions, through which to gain in confidence and competence.

In this text the authors consider the Korteweg-de Vries (KdV) equation (ut = - uxxx + 6uux) with periodic boundary conditions. Derived to describe long surface waves in a narrow and shallow channel, this equation in fact models waves in homogeneous, weakly nonlinear and weakly dispersive media in general. Viewing the KdV equation as an infinite dimensional, and in fact integrable Hamiltonian system, we first construct action-angle coordinates which turn out to be globally defined. They make evident that all solutions of the periodic KdV equation are periodic, quasi-periodic or almost-periodic in time. Also, their construction leads to some new results along the way. Subsequently, these coordinates allow us to apply a general KAM theorem for a class of integrable Hamiltonian pde's, proving that large families of periodic and quasi-periodic solutions persist under sufficiently small Hamiltonian perturbations. The pertinent nondegeneracy conditions are verified by calculating the first few Birkhoff normal form terms -- an essentially elementary calculation.

Fluid dynamics is an ancient science incredibly alive today. Modern technol ogy and new needs require a deeper knowledge of the behavior of real fluids, and new discoveries or steps forward pose, quite often, challenging and diffi cult new mathematical {:: oblems. In this framework, a special role is played by incompressible nonviscous (sometimes called perfect) flows. This is a mathematical model consisting essentially of an evolution equation (the Euler equation) for the velocity field of fluids. Such an equation, which is nothing other than the Newton laws plus some additional structural hypo theses, was discovered by Euler in 1755, and although it is more than two centuries old, many fundamental questions concerning its solutions are still open. In particular, it is not known whether the solutions, for reasonably general initial conditions, develop singularities in a finite time, and very little is known about the long-term behavior of smooth solutions. These and other basic problems are still open, and this is one of the reasons why the mathe matical theory of perfect flows is far from being completed. Incompressible flows have been attached, by many distinguished mathe maticians, with a large variety of mathematical techniques so that, today, this field constitutes a very rich and stimulating part of applied mathematics."

This superb Revision Guide for Edexcel 9-1 GCSE Statistics is chock-full of game-changing study notes, helpful examples and essential exam advice. It contains all the topics from the new 9-1 specification in down-to-earth, crystal-clear language, plus we've thrown in plenty of realistic practice questions to get you well on your way to the top grades. Both Higher and Foundation tiers are covered, with the `Higher-only' material clearly labelled. Full answers are included at the back of the book. For even more brilliant practice check out our amazing 9-1 Statistics Exam Practice Workbook for Edexcel (9781782949527)

Offering a proven, high-quality, step-by-step approach that builds students' confidence, these texts give your students the rigorous practice they need to get better results in the two-tier exams. Clearly organised, easy-to-use and carefully structured main texts provide thorough preparation for students on either a 1-year or 2-year course with clear, student-friendly language used throughout Fully worked examples with explanatory notes and commentary followed by carefully graded exercises offer gradual progression Exam and exam-style questions, presented in non-calculator and calculator section reviews, give further opportunities to consolidate skills acquired over a number of chapters Further compilations of exam and exam-style questions, which reflect how the examiners will assess the two-tier specifications are provided to give thorough preparation for the exams.