Cover -- Book title -- Copyright -- Contents -- Introduction -- Number and algebra -- 1 The language of number -- Definitions -- Principles of number systems -- Powers and roots -- Primes, factors and multiples -- Highest common factor and lowest common multiple -- 2 Whole numbers -- Addition and su...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Hamilton, Neil (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	London Hodder Education Group 2017
Zusammenfassung:	Cover -- Book title -- Copyright -- Contents -- Introduction -- Number and algebra -- 1 The language of number -- Definitions -- Principles of number systems -- Powers and roots -- Primes, factors and multiples -- Highest common factor and lowest common multiple -- 2 Whole numbers -- Addition and subtraction without a calculator -- Multiplication and division without a calculator -- 3 Decimals -- Adding and subtracting decimals -- Multiplying and dividing decimals -- 4 Negative numbers -- Adding and subtracting negative numbers -- Multiplying and dividing negative numbers -- 5 Fractions -- Equivalent fractions -- Adding and subtracting fractions and mixed numbers -- Multiplying and dividing fractions and mixed numbers -- Fractional change -- 6 Approximation and estimation -- Approximation -- Estimation -- 7 The order of operations -- Using the correct order of operations -- Inserting operations -- Single-step calculations on a calculator -- Multistep calculations on a calculator -- 8 Reciprocals -- Finding the reciprocal of a value -- Properties of reciprocals -- Finding reciprocals on a calculator -- 9 Ratio -- Simplifying ratios -- Dividing in a given ratio -- Solving problems using ratios -- 10 Percentages and finance -- Converting between percentages, fractions, decimals and ratios -- Finding a percentage of a quantity -- Percentage increase and decrease -- Writing one number as a percentage of another -- Percentage change -- Reverse percentages -- Percentages and finance -- 11 Bounds -- Measurement -- Upper and lower bounds -- Combining measurements -- Calculating the upper and lower bounds of the values of expressions -- 12 Standard form -- Writing numbers in standard form -- Calculating with numbers in standard form -- Standard form on a calculator -- 13 Rational and irrational numbers -- Definitions -- Recurring decimals -- 14 Surds Simplifying surds -- The rules of surds -- Rationalising the denominator -- 15 Basic Algebra -- Algebraic expressions -- Conventions in algebra -- Using index notation in algebra -- Substitution -- 16 Brackets -- Expanding brackets -- Multiplying two brackets together -- 17 Linear equations -- Solving simple equations -- Equations with the variable on both sides -- Equations with brackets -- Equations with fractions -- More complicated equations with fractions -- Forming equations to solve problems -- 18 Trial and improvement -- Solving polynomial equations by trial and improvement -- Problem solving using trial and improvement -- 19 Factorisation -- Common factors -- Grouping -- The difference of two squares -- Factorising quadratic expressions -- Expressions requiring several methods for factorisation -- 20 Algebraic fractions -- Simplifying algebraic expressions -- Adding and subtracting algebraic fractions -- Multiplying and dividing algebraic fractions -- 21 Solving quadratic equations -- Solving quadratic equations by factorisation -- Solving quadratic equations using the quadratic formula -- Solving quadratic equations involving algebraic fractions -- Using quadratic equations to solve problems -- 22 Straight lines and linear graphs -- Linear graphs -- Length of a line -- Midpoint of a line -- The gradient of a line -- The equation of a straight line, y = mx + c -- Finding the equation of a straight line -- 23 Indices -- The rules of indices -- Simplifying algebraic expressions -- Evaluating numerical powers and roots -- Solving equations involving indices -- 24 Sequences -- Continuing sequences -- The difference method -- The rule for the nth term of a sequence -- Applying sequences to practical problems -- 25 Formulae -- Using formulae -- Changing the subject of simple formulae -- Changing the subject of formulae with brackets Changing the subject of formulae with fractions -- Changing the subject of formulae where a power or root of the subject occurs -- Changing the subject of formulae where the subject appears more than once -- 26 Inequalities -- Inequalities on a number line -- Solving inequalities -- Graphs of inequalities -- Graphs of sets of inequalities -- Determining inequalities from a graph -- Maximising and minimising -- 27 Proportion and variation -- Proportion -- Variation -- 28 Non-linear graphs -- Quadratic graphs -- Cubic graphs -- Reciprocal graphs -- Exponential graphs -- Graphs of the trig functions -- Summary of non-linear graphs -- Recognising non-linear graphs -- 29 Real-life graphs -- Straight-line graphs in context -- Quadratic graphs in context -- Gradient of a curve -- Exponential graphs in context -- 30 Simultaneous equations -- Solving simultaneous linear equations graphically -- Solving simultaneous linear equations by substitution -- Solving simultaneous linear equations by elimination -- Solving problems using simultaneous equations -- Solving simultaneous equations when one is quadratic -- 31 Graphical solution of equations -- Using points of intersection to solve equations -- 32 Co-ordinate geometry of a circle -- Equation of a circle -- Co-ordinate geometry of a circle in context -- Geometry and measures -- 33 Angles in circles -- Parts of a circle -- Angle properties of circles -- Cyclic quadrilaterals -- Tangent properties of a circle -- Alternate segment theorem -- 34 Polygons -- Polygons -- Regular polygons -- Irregular polygons -- Finding angles within polygons -- 35 Pythagoras and trigonometry -- Pythagoras' theorem -- Trigonometry -- Three-dimensional questions using Pythagoras and/or trigonometry -- 36 Similarity -- Similar figures -- Enlargements -- Finding sides in similar shapes -- Similar triangles
Beschreibung:	1 Online-Ressource (583 pages)
ISBN:	9781471889851 9781471889844