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Complete International Mathematics for Cambridge IGCSE : Extended By David Rayner, Jim Fensom
directly matches the latest Cambridge IGCSE International Mathematics (0607) syllabus, with worked examples and plenty of practice exercises to develop thorough understanding of key concepts. A stretching, skills-based approach progressively strengthens student ability, enabling confident exam performance.
David Rayner’s trusted rigour, supported by an IB-specialist, this comprehensive text is exactly matched to the Cambridge IGCSE International Mathematics syllabus as well as being perfect preparation for the IB Diploma Programme. It offers just the right amount of rigour, with plenty of practice material to reinforce understanding.
Features
Complete Mathematics for Cambridge Lower Secondary 1 By Deborah Barton provides support for the previous Cambridge Lower Secondary Mathematics curriculum.
1. Number and calculation 1
1.1: Number facts
1.2: Adding and subtracting numbers
1.3: Multiplication and associated division facts
1.4: Decimals
1.5: Decimals and place value
1.6: Decimals and your calculator
1.7: Multiplying and dividing decimals by powers of ten
1.8: Rounding
1.9: Negative numbers
1.10: Negative numbers and addition
1.11: Subtracting negative numbers
1.12: Some ways we use negative numbers
1.13: Laws of arithmetic and inverse operations
1.14: Order of operations
Consolidation
Summary
2. Expressions
2.1: Expressions
2.2: Simplifying
2.3: Expanding brackets
Consolidation
Summary
3. Shapes and constructions
3.1: Lines and angles
3.2: Measuring angles
3.3: Drawing angles
3.4: Looking at triangles
3.5: Looking at quadrilaterals
3.6: Polygons
3.7: Solid shapes
3.8: Constructions
Consolidation
Summary
4. Number and calculation 2
4.1: Multiples and factors
4.2: Divisibility tests
4.3: Squares and square roots
4.4: Multiplying and dividing with two digit numbers
Consolidation
Summary
5. Length, mass and capacity
5.1: Length
5.2: Mass
5.3: Capacity
5.4: Reading scales
Consolidation
Summary
6. Representing information
6.1: Collecting data
6.2: Averages and range
Consolidation
Summary
Review A
7. Fractions
7.1: Calculating fractions
7.2: Equivalent fractions
7.3: Fractions greater than 1
7.4: Adding fractions
7.5: Subtracting fractions
7.6: Multiplying fractions
7.7: Applying order of operations rules to fractions questions
7.8: Problem solving
Consolidation
Summary
8. Equations and formulae
8.1: Substitution into expressions
8.2: Formulae
8.3: Solving equations
Consolidation
Summary
9. Geometry
9.1: Relationships between angles
9.2: Coordinates
Consolidation
Summary
10. Fractions and decimals
10.1: Equivalence of fractions and decimals
10.2: Adding and subtracting decimals
10.3: Multiplying and dividing decimals
Consolidation
Summary
11. Time and rates of change
11.1: Time
11.2: Real-life graphs
11.3: Travel graphs
Consolidation
Summary
12. Presenting data and interpreting results
12.1: Pictograms
12.2: Bar charts
12.3: Pie charts
12.4: Frequency diagrams for grouped discrete data
12.5: Using statistics
Consolidation
Summary
Review B
13. Fractions, decimals and percentages
13.1: Understanding percentages
13.2: Fractions, decimals and percentages
13.3: Finding percentages of amounts
Consolidation
Summary
14. Sequences, functions and graphs
14.1: Looking for patterns
14.2: Number sequences
14.3: Functions
14.4: Graphs of linear functions
Consolidation
Summary
15. Symmetry and transformations
15.1: Symmetry
15.2: Reflection
15.3: Translation
15.4: Rotation
Consolidation
Summary
16. Ratio and proportion
16.1: Making comparisons
16.2: Simplifying ratios
16.3: Proportion
Consolidation
Summary
17. Area, perimeter and volume
17.1: What is area?
17.2: Some of units of area
17.3: Areas of rectangles
17.4: Perimeters of rectangles
17.5: Compound shapes
17.6: What is volume?
17.7: Volume of cuboids
17.8: Surface area
Consolidation
Summary
18. Probability
18.1: Language of probability
18.2: Experimental probability
18.3: Theoretical probability
Consolidation
Summary
Review C
19. Sets and Venn diagrams
19.1: Sets and their members
19.2: How to describe a set
19.3: Venn diagrams
19.4: Intersection of sets
19.5: Common factors, common multiples
Consolidation
Summary
1. Fractions and indices
1.1: Working with fractions
1.2: Indices
2. Expressions and formulae
2.1: The origins of algebra and algebraic expressions
2.2: Simplifying and indices
2.3: Expanding brackets
2.4: Factorising expressions
2.5: Algebraic fractions
2.6: The product of two linear expressions
2.7: Substitution into expressions and formulae
2.8: Changing the subject of a formula
3. Shapes and mathematical drawings
3.1: Three-dimensional (3D) shapes
3.2: Constructions
3.3: Maps and scale drawings
3.4: Bearings
4. Number4.1: Directed numbers
4.2: Estimating square roots and cube roots
4.3: Multiplying and dividing by powers of 10
5. Measures
5.1: Length, mass and capacity
5.2: Area
5.3: Volume
5.4: Error in measurements
6. Planning, collecting and processing data
6.1: Planning and collecting data
6.2: Organising data
6.3: Calculating statistics
Review A
7. Rounding, multiplying and dividing
7.1: Rounding numbers
7.2: Estimation
7.3: Multiplying and dividing decimals
8. Equations and inequalities
8.1: Solving linear equations
8.2: Constructing and solving equations
8.3: Linear inequalities
8.4: Simultaneous equations
8.5: Trial and improvement to solve quadratic equations
9. Geometry
9.1: Properties of angles
9.2: Angles in polygons
9.3: Angles in circles
9.4: Pythagoras’ theorem
9.5: Tessellations
9.6: Loci
10. Mental strategies
10.1: Word problems and strategies
10.2: BIDMAS and inverse operations
10.3: Factors
11. Compound measures
11.1: Compound measures
11.2: Real-life graphs
12. Presenting data and interpreting results
12.1: Displaying data
12.2: Scatter graphs and correlation
12.3: Processing and interpreting data
Review B
13. Ratio and proportion
13.1: Simplifying and comparing ratios
13.2: Solving ratio problems
13.3: Direct proportion
14. Sequences, functions and graphs
14.1: Linear functions
14.2: Solving simultaneous equations graphically
14.3: Equations of lines in the form y = mx +c
14.4: Real-life functions
14.5: Direct proportion
14.6: Inverse of a function
14.7: Sequences
15. Transformations
15.1: Translations
15.2: Rotations
15.3: Reflections
15.4: Enlargements
15.5: Similar triangles
15.6: Describing transformations
15.7: Combinations of transformations
16. Fractions, decimals and percentages
16.1: Profit and loss
16.2: Discounts and sales
16.3: Loans and savings
16.4: Taxes
16.5: Percentage change
17. Area, perimeter and volume
17.1: Circles
17.2: Volume of prisms and cylinders
17.3: Surface area of prisms and cylinders
18. Probability
18.1: Successive events
18.2: Relative frequency and probability
Review C
19. Quadratics
19.1: Graphs of quadratics
19.2: Expanding two brackets
19.3: Difference between two squares and using quadratics
19.4: Factorising quadratic expressions
19.5: Solving quadratic equations
19.6: Word problems
Complete Mathematics for Cambridge Secondary 1 Homework Book 2 By Sue Pemberton
Directly supports the Cambridge Secondary 1 Mathematics curriculum framework, enabling learners to tackle the checkpoint test and rise to the challenge of Cambridge IGCSE with confidence. This Homework Book for stage 8 directly supports learners in consolidating their knowledge.
Complete Mathematics for Cambridge Secondary 1 Homework Book 3 By Joanne Hockin directly supports the Cambridge Secondary 1 Mathematics curriculum framework, enabling learners to tackle the Checkpoint test and rise to the challenge of Cambridge IGCSE with confidence.
This Homework Book for sage 9 directly supports learners in consolidating their knowledge.
Complete Mathematics For Cambridge Secondary 1 Teachers Pack 2 By Deborah Barton
This Book directly supports the Cambridge Secondary 1 Mathematics curriculum framework, enabling learners to tackle the Checkpoint test and rise to the challenge of Cambridge IGCSE with confidence. This Teacher Pack for stage 8 directly supports teachers in building student understanding.
1. Number and calculation 1
1.1: Adding and subtracting integers
1.2: Multiplying negative numbers
1.3: Division of negative numbers
1.4: Squares, cubes, roots and indices
1.5: Multiples and factors
1.6: Mental strategies
2. Expressions and functions
2.1: Simplifying and expanding
2.2: Functions
2.3: Constructing expressions
3. Shapes and mathematical drawings
3.1: Constructing circles, arcs and triangles
3.2: Bisecting angles and lines
3.3: Congruency
3.4: Drawing nets
3.5: Symmetry
4. Length, mass and capacity
4.1: Units of measure
4.2: Units of area, volume and capacity
4.3: Estimation
4.4: Imperial units
5. Number and calculation 2
5.1: Rounding numbers
5.2: Ordering decimals
5.3: Multiplying decimals
5.4: Dividing decimals
6. Planning, collecting and processing data
6.1: Discrete and continuous data
6.2: Collecting data
6.3: Two-way tables and frequency tables
6.4: Averages and ranges
Review A
7. Fractions
7.1: Addition and subtraction of fractions
7.2: Multiplication of fractions
7.3: Division of fractions
7.4: Using known facts and laws of arithmetic to simplify calculations
7.5: Applying order of operations rules to fractions
7.6: Problem solving
8. Expressions, equations and formulae
8.1: Solving linear equations
8.2: Substitution into expressions
8.3: Formulae
9. Geometry
9.1: All about angles
9.2: Angles in common shapes
9.3: Geometry problems using coordinate axes
10. Fractions and decimals
10.1: Ordering decimals
10.2: Adding and subtracting integers and decimals
10.3: Multiplying and dividing decimals
10.4: Writing fractions as decimals
11. Time and rates of change
11.1: Plotting points
11.2: Interpreting real-life graphs
11.3: Drawing graphs
11.4: Travel graphs
12. Presenting data and interpreting results
12.1: Frequency diagrams and pie charts for discrete data
12.2: Line graphs
12.3: Histograms
12.4: Stem-and-leaf diagrams
12.5: Interpreting and comparing data and diagrams
Review B
13. Fractions, decimals and percentages
13.1: Equivalent fractions, percentages and decimals
13.2: Fractions, decimals and percentages of quantities
13.3: Percentage increase and decrease
14. Sequences, functions and graphs
14.1: Rules of sequences
14.2: The nth term
14.3: Functions
14.4: Linear graphs
15. Transformations
15.1: Reflection
15.2: Rotation
15.3: Translation
15.4: Combinations of transformations
15.5: Enlargement
15.6: Scale drawing
16. Ratio and proportion
16.1: Units of measurement
16.2: Ratio
16.3: Proportion
17. Area, perimeter and volume
17.1: Perimeter
17.2: Areas of rectangles and triangles
17.3: Area of a circle
17.4: Areas of parallelograms and trapeziums
17.5: Areas of compound shapes
17.6: Volume of a cuboid
17.7: Surface area
18. Probability
18.1: The idea of probability
18.2: Experimental probability
18.3: Theoretical probability
18.4: Listing outcomes
Review C
19. Vectors and matrices
19.1: Vectors
19.2: Using vectors in geometry
19.3: Matrices
19.4: Multiplying matrices
Complete Mathematics Teacher Pack 1 for Cambridge Checkpoint and Beyond By Deborah Barton
Comprehensive preparation for the Cambridge Checkpoint and beyond
Lay the best possible foundations for Cambridge Checkpoint and ensure a flying start for Cambridge IGCSE. This Teacher Pack and CD gives you everything you need to ensure your students are stretched to their highest potential, and are rigorously prepared to achieve their best.
Salient Features
Endorsed by Cambridge International Examinations
Accurate preparation – Checkpoint-style progression tests included to fully develop confidence
Custom is able activities – digital exercises in PDF and Word format so you can tailor lessons exactly to your class
Challenge – even more rigorous practice and extension work, so learners are truly ready to tackle Cambridge IGCSE
Answers – all Homework Book answers included, to save you time
Support achievement in the latest syllabus (9709), for examination from 2020, with a stretching, practice-driven approach that builds the advanced skills required for Cambridge exam success and progression to further study. This new edition is fully aligned with the Mechanics part of the latest International AS & A Level syllabus, and contains a comprehensive mapping grid so you can be sure of complete support. Get students ready for higher education with a focus on real world application. From parabolic reflectors to technology in sport , up-to-date, international examples show how mathematics is used in real life. Students have plenty of opportunities to hone their skills with extensive graduated practice and thorough worked examples. Plus, give students realistic practice for their exams with exam-style questions covering every topic. Answers are included in the back of the book with full step-by-step solutions for all exercises and exam-style questions available on the accompanying support site.
Complete Pure Mathematics 1 for Cambridge International AS & A Level Student Book By Jean Linsky, Brian Western,James Nicholson
Support achievement in the latest syllabus (9709), for examination from 2020, with a stretching, practice-driven approach that builds the advanced skills required for Cambridge exam success and progression to further study. This new edition is fully aligned with the Pure Mathematics 1 part of the latest International AS & A Level syllabus, and contains a comprehensive mapping grid so you can be sure of complete support. Get students ready for higher education with a focus on real world application. From parabolic reflectors to technology in sport , up-to-date, international examples show how mathematics is used in real life. Students have plenty of opportunities to hone their skills with extensive graduated practice and thorough worked examples. Plus, give students realistic practice for their exams with exam-style questions covering every topic. Answers are included in the back of the book with full step-by-step solutions for all exercises and exam-style questions available on the accompanying support site.
Complete Pure Mathematics 2 & 3 for Cambridge International AS & A Level By Jean Linsky, James Nicholson, Brian Western
Support achievement in the latest syllabus (9709), for examination from 2020, with a stretching, practice-driven approach that builds the advanced skills required for Cambridge exam success and progression to further study. This new edition is fully aligned with the Pure Mathematics 2 & 3 part of the latest International AS & A Level syllabus, and contains a comprehensive mapping grid so you can be sure of complete support. Get students ready for higher education with a focus on real world application. From parabolic reflectors to technology in sport , up-to-date, international examples show how mathematics is used in real life.
Differential topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack’s book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea”transversality”the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem. The book has a wealth of Exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance. The book is suitable for either an introductory graduate course or an advanced undergraduate course.
This series is Edexcel’s own course for the GCE specification. This book is designed to provide you with the best preparation possible for your Edexcel C3 unit examination: