Written specifically for the needs of the Caribbean by an unsurpassed author team, this comprehensive text covers the latest CSEC mathematics syllabus, examinable from 2018. Mathematics for CSEC is a clear and challenging text with extensive practice and worked examples to strengthen and consolidate student knowledge as well as build confidence ahead of the examination. Carefully structured skills development also facilitates smooth progression through the course. This title now also includes a chapter online to provide support for the SBA.

 

There are 664 pages in this book. This book was published 2017 by Oxford University Press .

Sue Chandler is the author of many renowned Maths courses including STP Caribbean Mathematics and STP Mathematics for Jamaica. Ewart Smith is the author of many renowned Maths courses including STP Caribbean Mathematics and STP Mathematics for Jamaica. Gavin Bishop is a renowned children's book author and illustrator. His recent book Weaving Earth and Sky won the non-fiction section and the Book of the Year Award of the NZ Post Children's Book Awards 2003. Elizabeth Chandler is a pseudonym for Mary Claire Helldorfer. She is the author of the Kissed by an Angel and Dark Secrets series. She lives in Baltimore, Maryland.

This book has the following chapters: Introduction Preface 1 Number theory and computation Whole numbers Number bases and place value Negative numbers Order of operations Properties of operations Fractions Powers and roots Irrational numbers Indices Decimals Approximations Scientific notation Converting fractions to decimals Converting decimals to fractions Percentages Ratio Division in a given ratio 2 Sets Describing a set Definitions and notation Union and intersection Venn diagrams Harder problems 3 Algebra 1 Algebra Definitions and conventions Simplifying expressions Factorising Simplifying fractions Substituting values into algebraic expressions Linear equations in one unknown Forming expressions and equations Simultaneous linear equations in two unknowns Linear inequalities 4 Measurement Measurements Units of measurement Units of length Units of mass Units of time Converting between units of measure Temperature Currencies Speed Imperial units Units of length Units of mass Conversions between metric and imperial units Polygons Circles Perimeter Units of area Areas of polygons and circles Areas of irregularly shaped plane figures Volume Capacity Prisms Sources of error 5 Consumer arithmetic Percentage increase and decrease Compound percentage change Reverse percentage problems Profit and loss Sales tax Invoices and shopping bills Utility bills and property tax Hire purchase and mortgages Salaries, wages and commission Income tax Investments and insurance Review test 1 6 Relations, functions and graphs Relations Diagrams representing relations Types of relation Functions Linear functions Straight line graphs The standard equation of a straight line Parallel lines and perpendicular lines The intercept form of the equation of a straight line 7 Geometry and trigonometry Symmetry Transformations Describing a transformation Parallel lines Triangles Quadrilaterals Polygons Necessary and sufficient conditions to prove that a quadrilateral is a parallelogram Similar shapes Congruent triangles Pythagoras>' theorem Bearings Angles of elevation and depression Trigonometry Coordinate geometry 8 Statistics Categorical and numerical data Measures of central tendency Frequency tables Bar charts Line graphs Pie charts Probability Independent events Mutually exclusive events Contingency tables 9 Algebra 2 Binary operations The product of two brackets Factorising by grouping Factorising quadratic expressions Simplification of algebraic expressions Quadratic equations Solution by factorisation Solution by completing the square Solution by the formula Changing the subject of a formula 10 Circle theorems Definitions Angles in circles Cyclic quadrilaterals Tangents to circles Alternate segment theorem Review test 2 11 Matrices Definitions Matrix multiplication Determinants The inverse of a matrix Applications of matrices Simultaneous equations Numerical applications 12 Sequences Sequences 13 Quadratic functions The graph of a quadratic function Estimation of the gradient at a point Graphical solution of quadratic equations Graphical solution of quadratic inequalities Finding the maximum or minimum value of a quadratic function algebraically Sketching the graphs of quadratic functions Simultaneous equations DS one linear and the other quadratic 14 More functions Cubic functions The shape of a cubic curve Reciprocal functions Reciprocal curves Recognising curves Trigonometric functions The graph of f(x) = sin x Degrees The graph of f(x) = cos x Degrees The sine and cosine functions The tangent function Growth curves Decay curves Exponential growth and decay Vertical line test for a function Inverse functions The graph of a function and its inverse Compound functions Function of a function 15 Travel graphs Straight line distanceDStime graphs Rates of change Tangents to curves Travel graphs Curved distanceDStime graphs Velocity Finding velocity from a distanceDStime graph Velocity at an instant Acceleration VelocityDStime graphs Finding the distance from a velocityDStime graph Review test 3 16 Inequalities Linear inequalities Inequalities involving two variables Shading the required region Coordinates of points in a region Greatest and least values Linear programming 17 Variation Formulae Relationships Direct variation Dependent and independent variables Inverse variation Equations for inverse variation 18 Vectors in geometry Definition of a vector Representation of a vector The magnitude of a vector Equal vectors Negative vectors Multiplication of a vector by a scalar Equivalent displacements Addition of vectors Subtraction of vectors Position vectors Vectors and geometry Using vectors to model practical situations Further problems 19 Transformations and matrices The position vector of a point The image of a position vector Transformation matrix Finding the image Identifying a transformation Reflections Rotations Enlargements Transformations that cannot be described simply Mixed transformations The identity transformation Transformations and images Inverse transformations Inverse matrix transformations Inverse matrices and inverse transformations An invariant point Transformations not using matrices 20 Compound transformations Compound transformations Equivalent single transformations The identity transformation Common transformation matrices Area scale factor Unit vectors and the unit square Finding a transformation matrix Compound transformations Defining transformations as matrix equations Compound transformations and matrices Review test 4 21 Sine and cosine formulae Sines of obtuse angles Cosines of obtuse angles Trigonometric ratios as fractions Trigonometric ratios of 30 Degrees, 45 Degrees and 60 Degrees Triangle notation The sine rule Using the sine rule to find an angle The cosine rule Mixed questions The area of a triangle Sine formula for area of a triangle Heron>'s formula The area of a segment of a circle Applications 22 Constructions and transformations Constructions using ruler and compasses Accuracy Scales Transformations Finding the mirror line Finding the centre of rotation Circles and tangents Parallel lines 23 Grouped data Collecting information Frequency tables Class intervals Measures of central tendency of a grouped frequency distribution The modal group The group containing the median The mean Histograms Frequency polygons Using the area under a histogram 24 Measures of spread Range Cumulative frequency tables Cumulative frequency curves Drawing a cumulative frequency curve Quartiles Statistical investigations Deciding which statistical measure to use 25 Areas and volumes Pyramids Volume of a pyramid Surface area of a pyramid Volume of a cylinder Curved surface area of a cylinder Volume of a cone Surface area of a cone Volume of a sphere Surface area of a sphere Review test 5 Multiple choice tests Model exams Sample paper with solutions Answers Index