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This book is a great opportunity for those who just want to learn more about math, as well as those who need to take the level 3 exam soon. This book covers linear equations and graphs, quadratic functions and graphs, exponents, powers and polynomials, functions and their graphs, functions in two variables. The first two chapters of the book cover topics related to line graph including an introduction to graphs in general. The second chapter provides an overview of lines drawn on a plane. The third chapter features the formula for calculating straight line distance between two points on a plane which is also known as 'route formula' or 'direct distance'. The fourth chapter focuses on various types of graphs including points, line, circles and more. The next chapters discuss various types of roots. These include square root, cube root, square roots of perfect squares, cube roots of perfect cubes and more. The book for Level 3 also teaches how to solve rational expressions. The sixth chapter builds on the previous topic on roots that include square root of numbers that are not perfect squares or cubes by discussing radicals that are solutions to polynomial equations with raised to the power -1. The next chapters focus on solving linear systems which are mixtures of equations in two unknowns on a straight line and quadratic systems where all the coefficients are positive and negative integers. The last chapter of this book covers the cross-product and vector addition. The level 3 examination for those who are interested in teaching mathematics to students aged 14–19 must be taken within 3 years of entering post-qualification teacher training. The exam consists of a written paper and a specimen lesson plan. The CEM offers a series of steps to help candidates prepare for the examination which includes taking this book as well as completing professional development courses offered by the CEM. The title 'Understanding And Communicating Mathematics' is a book that is available for those who want to take the level 3 certificate but it can also be used as an excellent supplement for those who are already enrolled in math classes from secondary school up to university levels. This book covers topics such as quadratic equations, fractions, powers, factoring and more. Finally, the book also offers many examples to make it easier for them to understand the concept of the mathematical topic they are learning about. The first chapter is an introduction to complex numbers including imaginary units and three forms of multiplication. Complex numbers are also used in finding unknown lengths of sides of triangles. The next chapters feature concepts related to polynomials that include rational expressions with radicals and polynomial functions in one variable since these topics appear on level 3 syllabus. Later chapters are about surface area of solids, trigonometric functions, trigonometric identities, trigonometric ratios and solving trig. equation. The last chapters are about surds and their solutions, graphs of powers and exponential functions. This book also offers sample tests to help students prepare for the level 3 examination. The level 3 certificate is awarded to those who have completed their post-qualification teacher training course known as 'eligibility to register'. This qualification must be obtained within 3 years of entering the training program since this does not need any external assessment by other professionals in order to pass. cfa1e77820
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