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the self-compassion community

London

I'm a former board level executive director who rose quickly ... and became burnt out, young. I am also a former voice artist - something which served me well when a life-changing injury occurred in 2006. I suffered a ‘hip replacement gone wrong’ which left me with major arterial internal bleeding and genuinely fighting for my life ... physically of course, and subsequently mentally too as the months of physical recovery and pain rolled into many years. I went from being a high-achieving, fast-paced, super capable person, to someone who needed to learn to walk again. That took its toll. And years of pain and effort. Cultivating self-compassion and mindfulness helped me find a way through. Sounds trite almost doesn't it? But it's powerfully, powerfully true. Catherine Kell Meaningful and adaptable teaching I have studied hard to do the work I do, to get all the necessary qualifications and registrations (more on those below). Yet what exams and qualifications alone can't give someone is the heart to do the work. That 'in the veins' pulse to help improve the life of another. And I believe my journey gives me the authenticity to bring compassion-based approaches meaningfully and wholeheartedly to others. I embody what I teach, and I bring kindness, sincerity, warmth, and of course compassion to every interaction. I'm friendly and lively too! I bring an adaptable pace and tone depending on the environment. I'm passionate about bringing the skills of self-compassion and mindfulness into people's lives to help them make transformations, build their resources and step into their full expression and power from a place of self-acceptance and inner strength. It's a privilege to witness the unfolding of all aspects of their good health. Qualifications and Education Catherine has had a personal mindfulness and meditation practice since 2006. She is a qualified and authorised Trained Teacher of the evidence-based and empirically-supported Mindful Self-Compassion programmes and trained through the globally renowned Center for Mindful Self-Compassion in their intensive MSC programme developed by self-compassion pioneers Kristin Neff PhD and Christopher Germer PhD. She is trauma-sensitive in all her work, undertaking ongoing CPD in the trauma field. She has an MA Degree with Honours and as well as her training as a Mindfulness Teacher she holds a Professional Certification in Clinical and Therapeutic Mindfulness for applied use in 1-to-1 session work. Additionally, Catherine is an alumni of Compassion Cultivation Training with the Compassion Institute, a scientifically-backed and evidence-based training programme developed at Stanford University, as well as various compassion, mindfulness, meditation and lovingkindness professional development programs with Tara Brach and Sharon Salzberg, both global leaders in compassion and mindfulness. Catherine is also a Trained Teacher with the Mindfulness in Schools Project, and has passionately brought her skillset to scores of teenagers and school staff as a teacher of kindfulness, gratitude practices and the MiSP evidence-based 10-week mindfulness curriculum developed specifically for pupils and staff in schools. Catherine is a qualified Clinical Hypnotherapist (Dip.Cl.Hyp (Distinction), Cl.NLP, CNHC Reg., SICH HPD, MNCH(Reg.) and Paediatric Clinical Hypnotherapist (Dip.Hyp Paediatrics (Distinction). In her past work with children, Catherine had a particular interest in anxiety, panic attacks and sleep, helping children and adolescents from the age of around 7 to 18. Today, working with adults, Catherine uses hypnosis in a coaching capacity rather than a clinical one in order to help those working with her to cultivate self-compassion, boost life-satisfaction, uplevel and truly thrive. Previously, Catherine provided in-depth parenting support and empowerment services for whole families either in office from a local health centre, or via home visits. Catherine led specialist therapeutic support and learning sessions for mothers based around cultivating mindful self-compassion and strengthening the parent-child connection in parenting. Catherine is a Certified Positive Discipline Parent Educator, holds a Diploma In Positive Parenting and is a graduate of the 'Parenting by Connection Professionals Programme' with Hand in Hand Parenting. Catherine draws all her rich experience into every interaction. She is passionate about guiding people in developing the capacity to be with themselves in the kindest and most supportive way. Self-compassion can truly transform lives. Catherine is an accomplished speaker and provider of workshops and talks. She has contributed as a mindfulness and self-compassion expert to many podcasts and a number of mental health books.

ajwa private tuition services

London

Would you like to hire tutors to help you with academics and professional assistance at your place of residence? When selecting tutors, you may be looking for qualifications, experience, adequacy, and regularity? To meet all your requirements, Ajwa tutors’ network of teachers is committed to serving you well. We provide female and male home tutoring services in Lahore and Islamabad, Pakistan. Our home tutors are highly capable and trustworthy staff that will bring out the best performance from our students. Our reliability is your trust! Therefore, we have taken all possible measures to maintain that trust. We aim to improve education in Pakistan on the basis of personal development, better learning and high performance. Through our vigilant home tutor staff, we strive – to manage appropriate tutors for our students to assure result oriented individualized learning – to provide better guidance for the students to promote conceptual understanding of curriculum – to prepare our students for problem solving skills and make them subject intellectuals – to keep them motivated, enthusiastic and ambitious for the continual learning process – to ensure service satisfaction and 100% guaranteed results To get the best out of our team, we only hire qualified people with strong academic backgrounds through our screening and approval process. To assist you, we at Ajwa Tutors Academy will search for and allocate the most appropriate tutor for you. This will enable them to dedicate their complete attention to your academics within the specified teaching hours. Parents always want their children to grow academically and professionally. That is only possible, when they get the right source of guidance and the right direction. In response to numerous time and travel limitations, insufficient learning, personalized attention, and study gaps, we have come up with solutions. We at Ajwa tutors academy aim to promote education by solving the problems encountered by students in their learning journey. We receive numerous requests for female home tutors in Lahore and Islamabad. Ajwa tutors’ network of female teaching staff covers the whole of Lahore and Islamabad to facilitate you with the most effective home teaching services. Our facilities are available in all Lahore and Islamabad. ONLINE TUTORS Ajwa tutors is a leading national and international online tutoring site. We provide expert tutors for online classes that offer complete learning and flexible timings in the privacy and comfort of your own home. Ajwa tutors provide you with the best online tutoring services through a well-developed and advanced digital network. We welcome knowledge seekers and learners to our broad inter-connected community of subject experts with diverse and extravagant academic backgrounds. Online tutoring is a popular trend that provides expert guidance anytime and from anywhere. Ajwa tutors provide a learning opportunity for all with inclusive benefits of time flexibility, travel exemption, high academic exposure, best mentoring, and study with comport. Without the headache of unnecessary travel, and additional expenses, you can avail in-person tutoring lessons for your desired subject. We guide and assist students to help them get a better grip on their curriculum through subject experts. This online tuition forum brings specialists for subject guidance, exam preparations, and assessments in all academic fields. Ajwa tutors are well-trained in online teaching. By identifying student strengths and weaknesses in a particular subject, they enable them to improve their learning and critical thinking. Ajwa tutors platform emphasizes both quality and equality education through their uniquely designed online tutoring program. We aim to meet the learning needs of every student. Generally, students need extra help in specific subjects or for short-term exam preparation. Our expert tutors will help you grasp the concepts and knowledge necessary to clear your exams with remarkable results. We have highly qualified personnel to teach graduate, master’s, and Ph.D. students in all subject areas. Our online teachers have experience with aptitude tests for Medical, Engineering, IELTS, and TOEFL, etc. Ajwa online tutoring service provides online tutors for classes of all grades including primary, secondary, higher secondary, and intermediate (FSC) (boards level), ICS, O Level and A-Levels (IGCSE, EDEXCEL), IELTS, and TOEFL, etc. A LEVEL TUTORS You can benefit from Ajwa tutors’ A Levels home/online teaching services if you are an AS/A levels student struggling with any subject. We assure you of the reliability and credibility of our staff. Our teachers with experience of Cambridge International teaching also attend an Extension Career Development course to best meet the criteria of teaching at our platform. After GCSEs many students opt for AS Levels, a bit different from A Levels. AS Levels (1 year program) can be said to be equivalent to the first year of A Levels (2 year program) qualification. Both are considered separate qualifications; however, level accomplishment requires more effort than AS levels. The BTEC and IB Diploma are also options after O levels. Students generally take regular lessons in their educational institutes, but the teachers cannot give their full attention to each individual. Furthermore, in a world of increasing competition and scientific developments, the ability to understand and interpret technical materials is crucial to success in academics and careers. With a strong grip on your AS & A Levels subjects, you will surely get a seat at top ranked universities around the world. With our tutoring network, you learn well and become able to think creatively, independently and critically. Our tutoring platform is equipped with all necessary material for teachers to read through. This includes syllabuses, past question papers, mark schemes, examiner reports, lesson plans and schemes of work. Our goal is to train, support, and provide services that will help you grow in a way you deserve. We provide our students with home based learning opportunities with our experienced and qualified tutoring staff at Ajwa tutors. The key to learning is understanding concepts thoroughly. To meet the emerging need for home-based tuition services in Lahore and Islamabad, we have developed our A Levels home tutors’ team. We have tutors in all Lahore and Islamabad areas where we send our subject specialists. Through our vast network of tutors, you can study at your own place. Additionally, we work with professional female tutors to ensure that they are available to assist you with all the subjects. So, travel and gender obstacles cannot limit your learning journey anymore. Cambridge offers wide range AS & A Levels program resource materials and our tutors will guide you to master your course. O LEVELS/ CAMBRIDGE IGCSE/ ENGLAND GCSE HOME/ONLINE TUTORS Cambridge O Level is an internationally recognized qualification equivalent to Cambridge IGCSE and UK GCSE. Updated GCSE content is closely aligned with Cambridge IGCSEs. O-Level courses are designed to prepare students for academic progression to Cambridge Advanced as well as other learning disciplines. Cambridge background tutors or subject specialists are assigned to students from different schools such as The City School, Aitchison College, American Lycetuff, Lahore Grammar School, Bloomfield Hall Schools, Convent of Jesus and Mary, Beaconhouse School System, and others. Students of IGCSE Cambridge/O levels have the following subjects’ classification scheme. Group 1: Economics, business studies, accounting, math and other compulsory/optional subjects Group 2: Math, Biology, Physics, chemistry and other compulsory/ optional subjects Environmental science, sociology, psychology, law and other compulsory/ optional subjects To prepare O levels students for achieving their learning goals in each subject, Ajwa tutors has assembled a team of well-qualified and dedicated online/home tutors. The key to learning is understanding concepts thoroughly. In response to the growing demand for home-based tutoring services, our O levels home tutors team is committed to serving you in Lahore and Islamabad. Through our vast network of tutors, you can get one to one support and interaction with your tutor at your own place. We have experienced and qualified male and female staff. In addition to our male tutors, our professional female home tutors may be available within your vicinity. So, travel and gender obstacles are not limiting your learning experience. Our tutors follow a specified teaching methodology. They incorporate real world examples to broaden the students’ view regarding each topic. As part of their daily class activities, students practice a wide range of subject-related problems as a means of developing critical evaluation and problem-solving skills. Our professional tutors have adopted strategic teaching techniques that guarantee your superior grades. Our tutor network provides online teaching services both within Pakistan and overseas. To facilitate our students’ learning, we offer flexible schedules, individual attention, and a comfortable learning environment. Our online tutors interact well with the student and respond to every query that strikes their mind. So, you get the answers to your queries and the solution to each problem specifically. As well as learning, you gain conceptual and application-based knowledge of each subject field that guarantees your better grades during O levels, which will lead you to successfully enter multiple colleges and subjects. FEMALE HOME TUTORS IN LAHORE / FEMALE HOME TUTORS IN ISLAMABAD Are you searching for a capable female home tutor nearby you for in-person coaching? What if you have difficulty with work schedules and transportation that limit your ability to reach a physical location? We offer female home tutoring services in Lahore and Islamabad to meet your hiring criteria. Parents require high attention for their children’s academics and the allocation of specified teaching hours. There is a huge gap in the field for which parents find it difficult to approach suitable female tutors. Now the problems are solved! With our home tutoring service, we provide the most capable female tutors. Through our vigilant female home tutors’ network, we commit – to provide highly qualified female tutors at your convenience – result oriented 1 to 1 private tutoring and personalized attention – to manage differentiated, better, and pre-learning processes that address all learners’ needs – to fill the gaps left during school lessons, and to best prepare for exams – daily assessment and feedback evaluation – to provide a positive learning environment – to ensure service satisfaction and grades improvement to 100% Through our rigorous screening process, we only hire qualified personnel from top universities who have extraordinary curriculum management skills. Parents usually report the lack of specialist female home tutors in their nearby hometown. Normally we get a request for the requirement of a female tutor in Lahore and female tutor in Lahore Islamabad. We receive numerous requests for female home tutors; thus, we are growing our team in Lahore and Islamabad and its premises.

act fast nl

Scunthorpe

Act Fast is a well-established Independent School near Scunthorpe in North Lincolnshire. Act Fast has grown organically as the need for a high standard of provision has emerged and developed. The premise of Act Fast’s provision is that we are promoting the value of education to previously disaffected young people. what we do We operate a bespoke curriculum at Act Fast, which is both written and delivered by in house staff and is in line with the DfE Independent Schools Standards. We overtly deliver lessons in the following subject areas: Maths up to Functional Skills level 2 standard English up to Functional Skills level 2 standard Motor Vehicle Technology with the Institute of the Motor Industry up to level 2 standard PSHE (Including RSE) against a verified and recognised scheme Motocross, delivered by qualified and experienced staff Physical Education through a range of on-site and off-site activities. Art/Crafts Music Further to this, lessons in the following subject areas are delivered as embedded features of the timetabled lessons. Human and Social Understanding Aesthetic and Creative Scientific Technological British Values Our learners know if they work hard, they are awarded by riding the motorcycles here at Act Fast. This has proven to be successful, helping young adults to achieve their qualifications and have a positive attitude towards learning. Curriculum Act Fast has made a commitment to give every young person who is capable of the opportunity to reintegrate and to take a range of exams. For those subjects that Act Fast does not currently deliver, as we develop learners opportunities will increase. We are an accredited exam centre through OCR, NCFE, ABC, D of E, and when required will extend this to meet the needs of our learners. Our curriculum also enables and encourages learners to develop their interests and talents. We have a number of students here who have found their passion for music, learning how to play the guitar, as well as a large number of young, talented motorbike riders who love learning about riding, fixing and maintaining the bikes. It’s important to us to support our learners in keeping them physically and mentally healthy. We have access to: Mental Health Champions, outreach support and therapeutic counselling services, available to all our learners. We have regular sports activities within our timetable to encourage physical exercise, as well as access to local gyms and leisure centres. These activities help to prepare young people to access their community in adulthood. Hidden Curriculum Act Fast’s curriculum, throughout the range of its delivery, is heavily invested in the “Hidden Curriculum”. The Hidden Curriculum argument is that the most valuable lessons our young people receive here are to arrive on time, respect authority, follow instructions, keep regard for safety, take responsibility for their actions, behave in an acceptable standard, liaise with other people respectfully, and respect other people’s personal choices, encouraging equality and diversity. Other ways in which we promote equality and diversity include: Challenging negative attitudes amongst students. Setting clear rules regarding how people treat each other. Treating all students and staff equally and fairly. Using resources that have multicultural themes. Creating lessons that reflect and promote diversity in the classroom. Making sure that all students have equal access to participation and opportunities. Ensuring that all procedures and policies are non-discriminatory. Making sure that classroom materials never discriminate against anyone. Safeguarding protected characteristics throughout our culture and ethos. All of these things, to a greater extent than formalised subject lessons, will make them responsible, independent, resilient and above all else employable young people once they finish their school career. Act Fast has trained and qualified staff to recognise some of the barriers to learning that students face. These barriers might be due to Adverse Childhood Experiences and with knowledge and understanding of such issues Act Fast staff can help students overcome them to maximise their potentials. Referral, Application and Introduction After a referral is made to Act Fast, we invite a representative from the referring body (usually the Inclusion Officer), the learner and the learner’s parents into Act Fast for a familiarisation visit. During that visit the learner is given a tour of the facility, is introduced to key staff members and receives an explanation of the culture of Act Fast. Learners are given the opportunity to voice any concerns and any questions they have are answered. We set a high expectation on behaviour here, and partly because expectations are high, but also because more established learners mentor new arrivals, new learners very soon fall into compliance with our way of doing things. Act Fast works because our learners buy into the culture. This is the first opportunity that a young person has to involve themselves in how we operate here. Application forms must be completed prior to a young person starting at Act Fast. Once applications are complete, the referring body typically takes a few days (sometimes up to a week) to arrange their transport. Personal data will be stored and processed at this point, and details entered into our MIS system, Arbor. We insist on a Personal Learning Plan (PLP) meeting with stakeholders and the young person present within the first month. This allows any teething troubles to be voiced and solutions to be sought. Further PLP meetings are held regularly, no less frequently than once a term. At those meetings, Act Fast staff will deliver a report detailing the engagement of the young person, levels of educational attainment, attendance, general engagement, and commentary on the likelihood of a reintegration being successful. Reintegration planning must be tailored to suit the needs of the individual. Staff Investment Our staff all take part in quality training including regular CPD sessions and ongoing programmes of accreditation such as SSS online training (recently completed by all staff members). Training needs identified are acted on as soon as practical. The organisation believes and invests in the continuous professional development of its people. Our commitment to CPD is such that every member of staff has received CPD accredited training in the last 12 months. Our qualified teachers ensure pedagogical content methods are in place to deliver high standards of teaching for our young learners. We engage with our staff continuously here and know of the main pressures on them, including managing workload. We aim to support every staff member to help guide them throughout their career at Act Fast. Educational Framework It is our aim to provide an educational framework which is heavily invested in the hidden curriculum. By that, we mean that as well as lessons formalised in Maths and English for example, our young people develop an understanding of: working to a process arriving on time respecting authority abiding by the rules accepting that their first choice may not always be the right choice following instructions not expecting to leave early attending every day These are the skills whereby a young person will be employable post 16. Without these key skills, a young person is unlikely to be able to function in the workplace. We develop the hidden curriculum, embedded in everything we do, in order that our learners gain an understanding of their expectations being matched by the expectations of attendance, compliance and engagement We have a tracking system in place for our core subjects. We also use a “readiness to learn” scale, whereby a learners attitude, engagement, and involvement in their own work is measured. Bespoken When evolving Act Fast into an independent school I was very mindful that Mainstream school had not been a successful outcome for the majority if not all of our learners. It was imperative that we were bespoke and able to meet the needs of all our learners and not just the few. For this reason we created our own curriculum that is more sympathetic to our learners’ needs. Our teachers create an environment that allows our young people to focus on learning. 1:1 support as well as small group teaching (where appropriate) is in place to make teaching more effective, allowing tutors to concentrate on each individual learner’s needs. We believe in student voice here at Act Fast. Our EHCP’s (Educational Health Care plans) allow us to capture our learners’ views. It’s not only in our annual reviews that we give learner’s opportunity to be heard. For example, one young adult suggested we invested in a bigger bike here, so we put arrangements in place and made this happen. We encourage our learners to make their voices heard. Below are some examples of student voice council meetings held at Act Fast and how they shape decisions made at the school. Student Voice Meeting 040322 We have effective arrangements to identify learners who may need early help or are at risk of neglect, abuse, grooming or exploitation. We strongly promote our policies and legislation such as safeguarding, diversity and equality of our staff and learners at Act Fast. Ofsted Report 2022 Best Bits: “Act Fast school is a place where the proprietor and staff go the extra mile to support the pupils who attend. It has a unique vision of how to ‘hook’ pupils back into education, and it is successful in doing so. Act Fast has started to re-engage pupils who have experienced difficulties in their education”. “Parents believe that, finally, a school ‘gets’ their child. The wider curriculum, built around motor-cross, is a distinctive feature of the school. It motivates pupils to attend and to behave well. For those pupils who do not wish to ride the bikes, staff work with them to find alternatives. The proprietor and staff have limitless ambition for what pupils can achieve in their personal development. At the heart of this is a patient, careful building of relationships, and, in many cases, a re-building of trust between the pupil and their experience of education.” “The special educational needs coordinator (SENCo) has a strong understanding of the requirements of pupils with special educational needs and/or disabilities (SEND). Recently, the SENCo has started to work with a senior leader to more effectively incorporate pupils’ SEND targets from their education, health and care (EHC) plans into teachers’ planning.” “Leaders have also recently taken action to improve the school’s support for pupils’ reading. For instance, a primary specialist has been appointed with experience of teaching phonics to the weakest readers. The English lead is in the process of building a programme to encourage pupils to read widely and for enjoyment. Leaders’ wider curriculum for pupils’ personal development is, to very large extent, a strength of the school.” “The proprietor’s vision for getting young people who have had difficult experiences of school back into education is impressive. It is backed up by an innovative personal development curriculum, built on a range of activities that take place in the afternoons. These include a variety of motor vehicle-related opportunities, as well as visits out of school to a range of venues. Recently, for instance, pupils have started to be taken to a local engineering firm to participate in a scheme to broaden their career aspirations. Pupils know that there is a plan in place for them to make a suitable next step into further education or training at the end of Year 11.” Improvements: “Leaders’ PSHE curriculum includes reference to the protected characteristics and the school is a respectful community: however, coverage of the protected characteristics in the curriculum strategy is not as detailed as it could be, so pupils’ understanding is not as developed as it could be. Leaders should revisit their curriculum thinking for PSHE so that teaching of the protected characteristics is made more overt.” “The current curriculum is based on a limited set of qualifications in two subjects. For a registered special school, this lacks ambition. As a result, pupils experience a narrow curriculum, including a limited suite of qualifications. Leaders should take action to broaden and deepen their curriculum so that pupils have opportunities to study a wider range of subject content, organised coherently and cumulatively over the entire secondary and post-16 phases; and, for those who are capable, to a higher level of accreditation.” “Leaders have not taken the required action with regard to the statutory guidance for the teaching of RSHE. Consequently, parents have not been made aware of the school’s policy and their parental rights within the policy. Also, the teaching of Inspection report: Act Fast NL Ltd. RSHE is not clearly planned in the school’s curriculum. Leaders should take action to be compliant with the statutory guidance and to ensure that curriculum thinking incorporates structured RSHE teaching.”

black's academy

London

AQA A level Mathematics 7357 AS level Mathematics 7356 GCSE higher level Mathematics 8300H GCSE foundation level Mathematics 8300F Edexcel A level Mathematics 9MA0 AS level Mathematics 8MA0 GCSE higher level Mathematics 1MA1H GCSE foundation level Mathematics 1MA1F OCR A level Mathematics H240 AS level Mathematics H230 GCSE higher level Mathematics J560 GCSE foundation level Mathematics Other courses IGCSE extended level Mathematics 0580 Scholastic Apititude Test (USA Exam) GED (USA Exam) All other exams Click on any of the above links to obtain free resources Book free diagnostic now blacksacademy symbol Director Peter Fekete Educational consultancy | Curriculum design | Courses for adults | Public speaking | Publications CONTACT a CONTENT OF THE REMOTE LEARNING SYSTEM * US GRADE 6 / UK GCSE GRADE 2–3 1. Addition and subtraction 2. Starting number sequences 3. Further number sequences part I 4. Multiplication to 8 x 8 5. Further number sequences part II 6. Multiplication to 12 x 12 7. Square numbers 8. Positive and negative numbers 9. Sums 10. Shapes and perimiters 11. Measurement and areas 12. Reading information 14. Understanding fractions 15. Decimals 16. Percentages 17. Long multiplication 18. Beginning algebra 19. Beginning probability 20. Beginning geometry 21. Properties of numbers 22. Telling the time 23. Geometry in three dimensions US GRADE 7 / UK GCSE GRADE 4 1. Deeper understanding of number 2. Combinations 3. Long division 4. Operations 5. Practical problems 6. Order and type of numbers 7. Measurement 8. Time and time management 9. Fractions 10. Organising information 11. Ratio and proportion 12. Probability 13. Angles 14. Visual reasoning 15. Bearings 16. Working in two dimensions 17. Working in three dimensions 18. Transformation geometry 19. Continuing algebra US GRADE 8 / UK GCSE GRADE 5–6 1. Patterns and pattern recognition 2. Lines, regions and inequalities 3. Mastering fractions 4. Types of number 5. More about triangles 6. Measurement and computation 7. Proportionality 8. Working with space 9. Indices 10. Further work with ratio 11. Investments 12. Further algebra 13. Quadrilaterals and polygons 14. Speed and displacement 15. Continuing with probability 16. Describing data US GRADE 9 / UK GCSE GRADE 6–7 1. Further proportionality 2. Congruency 3. The tricky aspects of algebra 4. Lines and equations 5. Basic formal algebra 6. Analysis and display of data 7. Graphing functions 8. Dimension and algebra 9. Algebraic fractions 10. Circle theorems 11. Algebraic factors 12. Simultaneous equations 13. Velocity and acceleration 14. Proportionality and scatter 15. Number puzzles US GRADE 10/ UK GCSE GRADE 7–8 1. Transpositions 2. Patterns and pattern recognition 3. Algebraic manipulations 4. Quadratics 5. Surds 6. Linear inequalities 7. Functions 8. Trigonometry 9. Systems of linear equations 10. Further presentation and analysis of data 11. Polynomial functions 12. Algebraic products 13. Finding roots 14. Intersection of lines and curves 15. Indices and index equations US GRADE 11/ UK GCSE GRADE 8–9 1. Completing the square 2. Venn diagrams 3. Coordinate geometry with straight lines 4. Further trigonometry 5. Transformations of curves 6. Modulus 7. Basic vectors 8. Quadratic inequalities 9. The quadratic discriminant 10. Arcs, sectors and segments 11. Circles, curves and lines 12. Probability and Venn diagrams 13. Functions, domains and inverses 14. Trigonometric functions 15. Recurrence relations 16. Further elementary vectors FREE LEGACY RESOURCES Business Studies, Economics, History, Mathematics, Philosophy, Sociology Business Studies PEOPLE AND ORGANISATIONS 1. Management structures and organisations 2. Leadership and management styles 3. Classical theory of motivation 4. Human relations school 5. Management by objectives 6. Workforce planning 7. Recruitment 8. Payment systems MARKETING 1. The economic problem 2. Money and exchange 3. Price determination 4. Determinants of demand 5. Market analysis 6. Marketing and the product life cycle 7. Objectives and marketing EXTERNAL INFLUENCES 1. Stakeholders 2. Business ethics 3. Market conditions 4. Business and the trade cycle 5. Business and technological change 6. Business and inflation 7. Business and exchange rates 8. Business and unemployment ACCOUNTING & FINANCE 1. Cash Flow Management 2. Costs, Profits & Breakeven Analysis 3. Budgeting & Variance Analysis 4. Sources of Finance 5. Profit & Loss Account 6. The Balance Sheet 7. Depreciation by the fixed-rate method 8. Reducing Balance Method 9. Stock Evaluation 10. Working Capital and Liquidity 11. Accounting Principles and Window Dressing 12. Costing and Management Accounting 13. Investors and the Corporate Life Cycle 14. Investment Appraisal: Average Rate of Return 15. Investment Appraisal: Payback Method 16. Investment Appraisal: Net Present Value 17. Investment Appraisal: Internal Rate of Return 18. Profitability Ratios 19. Liquidity Ratios 20. Efficiency and shareholder ratios 22. Gearing and Risk 23. Net Asset Value Economics MARKETS & MARKET FAILURE 1. The economic problem 2. Productive and allocative efficiency 3. Money and exchange 4. Price determination 5. The money market 6. Introduction to the labour market 7. The determinants of demand 8. Supply and elasticity of supply 9. Excess supply and excess capacity 10. Elasticity of demand 11. Market structures 12. Income and cross elasticity 13. Market failure 14. Factor immobility 15. Public and private goods 16. Merit and non-merit goods 17. Cost-benefit analysis 18. Competition policy 19. Market failure and government intervention History ANCIENT HISTORY 1. Prehistory of Greece 2. Mycenae, the Heroic Age c.1550—1125 BC 3. The Greek Middle Ages c.1125—c.700 BC 4. The Greek Tyrannies c. 650—510 BC 5. Sparta 6th and 7th centuries BC 6. Athens and Solon 7. The early inhabitants of Italy 8. The Etruscans 9. Early Roman History up to Tarquin GERMANY & EUROPE 1870—1939 1. Social Change from 1870 to 1914 2. Socialism in Europe 1870 to 1914 3. The Balance of Power in Europe 1870 4. Anti Semitism in Europe 1870 to 1914 5. The Structure of Wilhelmine Germany 6. Bismarck and the Alliance System 7. Weltpolitik 8. Colonial Rivalries 9. First and Second Moroccan Crises 10. The First World War triggers 11. The Causes of the First World War 12. Germany and the First World War 13. Military history of the First World War 14. The Treaty of Versailles 15. The Domestic Impact of the First World War 16. The German Revolution 17. The Weimar Republic 18. The Early Years of the Nazi Party 19. The Rise of the Nazi Party 20. The Establishment of the Nazi Dictatorship 21. Nazi Rule in Germany 1934 to 1939 22. The Economics of the Third Reich 23. Appeasement RUSSIA & EUROPE 1855—1953 1. Alexander II and the Great Reforms 2. Imperial Russia under Alexander III 3. Nicholas II and the 1905 revolution 4. Social and economic developments in Russia 5. Russia: the Great war and collapse of Tsarism 6. Provisonal Government & October Revolution 7. The Era of Lenin 8. The Development of Lenin's Thought 9. New Economic Policy and the Rise of Stalin 10. Stalin and the Soviet Union 1924 to 1953 11. Stalin and the Soviet Economy 12. Stalin and International Relations BRITAIN 1914—1936 1. The Great War and Britain 1914—15 2. Britain during the Great War, 1915—16 3. Lloyd George & the Great War, 1916—1918 4. Great Britain after the War, 1918—22 5. British Politics, 1922—25 6. Class Conflict & the National Strike, 1926 7. Britain & International Relations, 1925—29 8. Social Trends in Britain during the 1920s 9. Social Issues during the late 1920s 10. British Politics 1926—29; Election of 1929 11. Britain — the crisis of 1929 12. The Labour Government of 1929—31 13. Britain and economic affairs, 1931—33 14. Britain and Foreign Affairs, 1931—36 15. Social Conditions in Britain during the 1930s Advanced level Mathematics ALGEBRA & GEOMETRY 1. Simultaneous Equations 2. Polynomial Algebra 3. Cartesian Coordinates 4. The equation of the straight line 5. Intersection of lines and curves 6. Remainder and Factor Theorems 7. Functions 8. Quadratic Inequalities 9. Graphs of Inequalities 10. Indices 11. Polynomial Division 12. Velocity-Time Graphs 13. Tally Charts 14. Absolute and relative errors 15. Sequences and Series 16. Arithmetic Progressions 17. Proof by Contradiction 18. Geometric Progressions 19. The Cartesian Equation of the Circle 20. Transformations of graphs 21. Plane Trigonometry 22. Modulus 23. Trigonometric Functions 24. Inverse Trigonometric Functions 25. Linear Inequalities 26. Proportionality 27. Probability 28. Surds 29. Special Triangles 30. Quadratic Polynomials 31. Roots & Coefficients of Quadratics 32. Radian measure 33. Permutations and Combinations 34. Set Theory and Venn Diagrams 35. Sine and cosine rules 36. Elementary Trigonometric Identities 37. Roots and curve sketching 38. Graphs and roots of equations 39. Picards Method 40. Small Angle Approximations 41. Simultaneous equations in three unknowns 42. Linear relations and experimental laws 43. Conditional Probability 44. Pascal's Triangle and the Binomial Theorem 45. Index Equations and Logarithms 46. The Binomial Theorem for Rational Indices 47. Exponential Growth and Decay 48. Exponential and Natural Logarithm 49. Compound Angle Formulas 50. Sinusoidal functions 51. Vector Algebra 52. The Vector Equation of the Straight Line 53. The Scalar Product of Vectors 54. Axiom Systems 55. Introduction to Complex Numbers 56. The algebra of complex numbers 57. Complex Numbers and the Argand plane 58. De Moivres Theorem 59. Eulers formula 60. Further loci of complex numbers 61. Further graph sketching 62. Mathematical Induction 63. Proof of the Binomial Theorem 64. Polar Coordinates 65. Conic sections 66. Partial Fractions 67. First-order linear recurrence relations 68. Summation finite series with standard results 69. Method of differences 70. Trigonometric Equations 72. Series Expansion 73. Lagrange Interpolating Polynomial 74. Error in an interpolating polynomial 75. Abelian groups 76. Geometrical uses of complex numbers 77. Cyclic Groups 78. The Cayley-Hamilton Theorem 2x2 Matrices 79. Cayley Theorem 80. Determinants 81. Isomorphisms 82. Lagrange theorem 83. Properties of groups 84. Group structure 85. Subgroups 86. Homomorphisms 87. Matrix Algebra 88. Determinant and Inverse of a 2x2 matrix 89. Gaussian elimination 90. Matrix representation of Fibonacci numbers 91. Matrix groups 92. Inverse of a 3 x 3 Matrix 93. Singular and non-singular matrices 94. Properties of Matrix Multiplication 95. Induction in Matrix Algebra 96. Properties of Determinants 97. Permutation groups 98. First Isomorphism Theorem for Groups 99. Roots of Polynomials of Degree 3 100. Scalar Triple Product 101. Systems of Linear Equations 102. Matrix Transformations 103. Mappings of complex numbers 104. Cross product of two vectors 105. Vector planes 106. Eigenvalues and Eigenvectors CALCULUS 1. Introduction to the Differential Calculus 2. Stationary points and curve sketching 3. Applications of Differentiation 4. Differentiation from First Principles 5. The Trapezium Method 6. Integration 7. Direct Integration 8. Applications of integration to find areas 9. Graphs of Rational Functions 10. Derivatives of sine and cosine 11. Products, Chains and Quotients 12. Volumes of Revolution 13. Exponential and Logarithmic Functions 14. Integration by Parts 15. Parametric Equations 16. The Integral of 1/x 17. Integration by Substitution 18. Implicit Differentiation 19. Formation of a differential equation 20. Separation of variables 21. Integrals of squares of trig functions 22. Maclaurin Series 23. Techniques of Integration 24. Integrating Factor 25. The Newton-Raphson formula 26. Errors in Numerical Processes 27. Roots and Recurrence Relations 28. Derivatives of Inverse Trig. Functions 29. Second order homogeneous equations 30. Second order inhomogeneous equations 31. Implicit differentiation — second derivative 32. Integrands to inverse trigonometric functions 33. Integrands to logarithmic function 34. Integration of Partial Fractions 35. Logarithms and Implicit Differentiation 36. Implicit differentiation and MaClaurin series 37. Separation of variables by substitution 38. Trigonometric Substitutions for Integrals 39. Truncation Errors 40. Euler and Trapezoidal Method 41. Numerical methods for differential equations 42. Simpson Method 43. Proof of Simpson Formula 44. Richardson Extrapolation 45. Arc length of a curve in Cartesian coordinates 46. Arc length of a curve in Polar coordinates 47. Arc length of a curve: Parametric form 48. Curves in Euclidean space 49. Functions and continuity 50. The gradient of a scalar field 51. The derivatives of the hyperbolic functions 52. Hyperbolic Functions 53. Inverse Hyperbolic Functions 54. Hyperbolic Identities 55. Integrals with inverse hyperbolic functions 56. Reduction formulae 57. Simultaneous differential equations 58. Surface of Revolution 59. Vector differential calculus 60. Scalar Fields and Vector Functions STATISTICS & PROBABILITY 1. Central Tendency: Mean, Median and Mode 2. Standard Deviation 3. Cumulative Frequency 4. Discrete Random Variables 5. Mutually exclusive and independent events 6. The Binomial Distribution 7. The Normal Distribution 8. Standardised Normal Distribution 9. Regression Lines 10. Correlation 11. The Geometric Distribution 12. Hypothesis Testing — Binomial Distribution 13. Index Numbers 14. Time Series Analysis 15. Bayes Theorem 16. Confidence interval mean — known variance 17. The Central Limit Theorem 18. Pearsons product moment correlation 19. Spearmans Rank Correlation Coefficient 20. Hypothesis Testing — Normal Distribution 21. The Poisson Distribution 22. The Normal Approximation to the Binomial 23. The Normal Approximation to the Poisson 24. The Poisson Approximation to the Binomial 25. Type I and type II errors 26. Scalar multiples of a Poisson variable 27. Test for the Mean of a Poisson distribution 28. Random Number Sampling 29. Estimating Population Parameters 30. Random Samples and Sampling Techniques 31. The Concept of a Statistic 32. Hypothesis test for the population variance 33. Central Concepts in Statistics 34. Continuous Probability Distributions 35. Modeling: Chi squared goodness of fit 36. Chi squared test for independence 37. Degrees of Freedom 38. Difference Sample Means Unknown Variance 39. Moment generating functions 40. Probability generating functions 41. Linear Combinations of Random Variables 42. Maximum Likelihood Estimators 43. Wilcoxon signed rank test on median 44. Non-parametric significance tests 45. Single-sample sign test of population median 46. Paired-sample sign test on medians 47. Paired sample t-test for related data 48. Paired sample Wilcoxon signed rank test 49. Difference of two sample means 50. Pooled sample estimate 51. Testing the Sample Mean 52. The Uniform Distribution MECHANICS 1. Velocity-Time and Displacement-Time Graphs 2. Force diagrams 3. Representation of Forces by Vectors 4. Static Equilibrium 5. Equilibrium of coplanar forces 6. Weight and Free Fall 7. Normal Reaction and Friction 8. Newtons First and Second Laws 9. Relative Motion 10. Projectiles 11. Calculus and Kinematics 12. Motion of a Particle: Vector calculus form 13. Work 14. Energy Conversions 15. Gravitational potential and kinetic energy 16. Connected Particles 17. Moments 18. Linear momentum 19. Power 20. Hookes Law 21. Simple Harmonic Motion 22. Simple Harmonic Motion and Springs 23. Calculus, Kinematics in Three Dimensions 24. Sliding, toppling and suspending 25. Impulsive Tensions in Strings 26. Angular Velocity 27. Motion in a Horizontal Circle 28. Centre of Mass of a Uniform Lamina 29. Motion in a Vertical Circle 30. Motion under a Variable Force 31. Conservation of Angular Momentum 32. Centre of Mass of a Composite Body 33. Motion under a central force 34. Centre of Mass of a Uniform Lamina 35. Centre of Mass Uniform Solid of Revolution 36. Equilibrium of Rigid Bodies in Contact 37. Damped Harmonic Motion 38. Moment of Inertia 39. Impulse, elastic collisions in one dimension 40. Parallel and Perpendicular Axis Theorems 41. Motion described in polar coordinates 42. Simple pendulum 43. Compound pendulum 44. Stability and Oscillations 45. Vector calculus 46. Linear Motion of a Body of Variable Mass DISCRETE & DECISION 1. Algorithms 2. Introduction to graph theory 3. Dijkstra algorithm 4. Sorting Algorithms 5. Critical Path Analysis 6. Dynamic Programming 7. Decision Trees 8. The Maximal Flow Problem 9. The Hungarian algorithm 10. Introduction to Linear Programming 11. Simplex Method 12. Matching Problems 13. Game Theory 14. Minimum connector problem 15. Recurrence relations 16. Proofs for linear recurrence relations 17. Simulation by Monte Carlo Methods 18. Travelling and Optimal Salesperson Problems 19. The Travelling Salesperson Problem Philosophy INTRODUCTION TO PHILOSOPHY 1. The problem of evil 2. Introduction to Plato 3. Knowledge, belief and justification 4. Descartes Meditation I 5. Introduction to the problem of universals 6. Introduction to metaethics 7. Subjectivism versus objectivism 8. Aristotle's function argument 9. Natural Law Theory 10. Utilitarianism 11. The Nicomachaen Ethics of Aristotle 12. Virtue Ethics 13. Descartes Meditation II 14. Hume and empiricism 15. The paradox of induction 16. Hume's attack on Descartes 17. The Cosmological Argument 18. The Ontological Argument 19. The Teleological Argument 20. The Argument from religious experience 21. The Moral Argument 22. The argument from illusion 23. Materialism 24. Human Identity Sociology PERSPECTIVES & METHODOLOGY 1. Introduction to Marxism 2. Introduction to Durkheim 3. Weber: classes, status groups and parties 4. Introduction to patriarchy and gender roles 5. Mass culture theory 6. The Frankfurt school STRATIFICATION & DIVERSITY 1. Ethnic groups and discrimination 2. Race, Ethnicity and Nationalism 3. Social Inequality 4. Theories of Racism 5. Class structure 6. Modern Functionalism and Stratification 7. Social Mobility 8. Bottomore: Classes in Modern Britain 9. American exceptionalism ASPECTS OF SOCIETY 1. Definitions of Poverty 2. Theories of Poverty 3. Solutions to Poverty 4. Alienation 5. Leisure 6. Work and Technological Change 7. Conflict and Cooperation at Work 8. Attitudes to Work 9. Unemployment 10. Perspectives on Education 11. Education and Ethnicity 12. Education and Gender 13. The Family and Social Structure 14. The Family and Household Structure 15. Conjugal Roles 16. Marital Breakdown 17. Post War Education in Britain 18. British Social Policy 1945—1990