Edexcel GCSE (9-1) Mathematics: Foundation Practice, Reasoning and Problem-solving Book (Edexcel GCSE Maths 2015)

Description

Exam Board: Edexcel Level: GCSE Subject: Maths First teaching: September 2015 First exams: June 2017 Problem-solving and reasoning questions included throughout. Exam-style questions give students exposure to the sort of questions they will need to answer in their exam. Problem-solving lessons build up strategies from the Student Book so that students need to choose the most appropriate strategy. Mixed problem-solving questions drawing on knowledge from this and previous chapters in the book give students the opportunity to practice using this strategy. Cover Acknowledgement Contents Chapter 1: Number 1.1: Calculations 1.2: Decimal numbers 1.3: Place value 1.4: Factors and multiples 1.5: Squares, cubes and roots 1.6: Index notation 1.7: Prime factors 1 Problem-solving Chapter 2: Algebra 2.1: Algebraic expressions 2.2: Simplifying expressions 2.3: Substitution 2.4: Formulae 2.5: Expanding brackets 2.6: Factorising 2.7: Using expressions and formulae 2 Problem-solving Chapter 3: Graphs, tables and charts 3.1: Frequency tables 3.2: Two-way tables 3.3: Representing data 3.4: Time series 3.5: Stem and leaf diagrams 3.6: Pie charts 3.7: Scatter graphs 3.8: Line of best fit 3 Problem-solving Chapter 4: Fractions and percentages 4.1: Working with fractions 4.2: Operations with fractions 4.3: Multiplying fractions 4.4: Dividing fractions 4.5: Fractions and decimals 4.6: Fractions and percentages 4.7: Calculating percentages 1 4.8: Calculating percentages 2 4 Problem-solving Chapter 5: Equations, inequalities and sequences 5.1: Solving equations 1 5.2: Solving equations 2 5.3: Solving equations with brackets 5.4: Introducing inequalities 5.5: More inequalities 5.6: Using formulae 5.7: Generating sequences 5.8: Using the nth term of a sequence 5 Problem-solving Chapter 6: Angles 6.1: Properties of shapes 6.2: Angles in parallel lines 6.3: Angles in triangles 6.4: Exterior and interior angles 6.5: More exterior and interior angles 6.6: Geometrical problems 6 Problem-solving Chapter 7: Averages and range 7.1: Mean and range 7.2: Mode, median and range 7.3: Types of average 7.4: Estimating the mean 7.5: Sampling 7 Problem-solving Chapter 8: Perimeter, area and volume 1 8.1: Rectangles, parallelograms and triangles 8.2: Trapezia and changing units 8.3: Area of compound shapes 8.4: Surface area of 3D solids 8.5: Volume of prisms 8.6: More volume and surface area 8 Problem-solving Chapter 9: Graphs 9.1: Coordinates 9.2: Linear graphs 9.3: Gradient 9.4: y = mx + c 9.5: Real-life graphs 9.6: Distance-time graphs 9.7: More real-life graphs 9 Problem-solving Chapter 10: Transformations 10.1: Translation 10.2: Reflection 10.3: Rotation 10.4: Enlargement 10.5: Describing enlargements 10.6: Combining transformations 10 Problem-solving Chapter 11: Ratio and proportion 11.1: Writing ratios 11.2: Using ratios 1 11.3: Ratios and measures 11.4: Using ratios 2 11.5: Comparing using ratios 11.6: Using proportion 11.7: Proportion and graphs 11.8: Proportion problems 11 Problem-solving Chapter 12: Right-angled triangles 12.1: Pythagoras' theorem 1 12.2: Pythagoras' theorem 2 12.3: Trigonometry: the sine ratio 1 12.4: Trigonometry: the sine ratio 2 12.5: Trigonometry: the cosine ratio 12.6: Trigonometry: the tangent ratio 12.7: Finding lengths and angles using trigonometry 12 Problem-solving Chapter 13: Probability 13.1: Calculating probability 13.2: Two events 13.3: Experimental probability 13.4: Venn diagrams 13.5: Tree diagrams 13.6: More tree diagrams 13 Problem-solving Chapter 14: Multiplicative reasoning 14.1: Percentages 14.2: Growth and decay 14.3: Compound measures 14.4: Distance, speed and time 14.5: Direct and inverse proportion 14 Problem-solving Chapter 15: Constructions, loci and bearings 15.1: 3D solids 15.2: Plans and elevations 15.3: Accurate drawings 1 15.4: Scale drawings and maps 15.5: Accurate drawings 2 15.6: Constructions 15.7: Loci and regions 15.8: Bearings 15 Problem-solving Chapter 16: Quadratic equations and graphs 16.1: Expanding double brackets 16.2: Plotting quadratic graphs 16.3: Using quadratic graphs 16.4: Factorising quadratic expressions 16.5: Solving quadratic equations algebraically 16 Problem-solving Chapter 17: Perimeter, area and volume 2 17.1: Circumference of a circle 1 17.2: Circumference of a circle 2 17.3: Area of a circle 17.4: Semicircles and sectors 17.5: Composite 2D shapes and cylinders 17.6: Pyramids and cones 17.7: Spheres and composite solids 17 Problem-solving Chapter 18: Fractions, indices and standard form 18.1: Multiplying and dividing fractions 18.2: The laws of indices 18.3: Writing large numbers in standard form 18.4: Writing small numbers in standard form 18.5: Calculating with standard form 18 Problem-solving Chapter 19: Congruence, similarity and vectors 19.1: Similarity and enlargement 19.2: More similarity 19.3: Using similarity 19.4: Congruence 1 19.5: Congruence 2 19.6: Vectors 1 19.7: Vectors 2 19 Problem-solving Chapter 20: More algebra 20.1: Graphs of cubic and reciprocal functions 20.2: Non-linear graphs 20.3: Solving simultaneous equations graphically 20.4: Solving simultaneous equations algebraically 20.5: Rearranging formulae 20.6: Proof 20 Problem-solving