Mathematics for the International Student 8 (MYP 3)

Textbook. — 2nd edition. — Haese Mathematics, 2014. — 496 p.Michael Haese, Sandra Haese, Mark Humphries, Edward Kemp, Pamela Vollmar - MYP 3 second edition has been designed and written for the IB Middle Years Programme (MYP) Mathematics framework.
This book may also be used as a general textbook at about 8th Grade (or Year 8) level in classes where students are expected to complete a rigorous course in mathematics.
The textbook and interactive software provide an engaging and structured package, allowing students to explore and develop their confidence in mathematics.
The book contains a variety of exercises, ranging from basic to advanced, to cater for a range of student abilities and interests. The material is presented in a clear, easy-to-follow format, free from unnecessary distractions, while every effort has been made to contextualise questions so that students can relate concepts to everyday use.
Each chapter begins with an Opening Problem, offering an insight into the application of the mathematics that will be studied in the chapter. Important information and key notes are highlighted, while worked examples provide step-by-step instructions with concise and relevant explanations. Discussions, Activities, Investigations, Puzzles, and Research exercises are used throughout the chapters to develop understanding, problem solving, and reasoning, within an interactive environment.
This product has been developed independently from and is not endorsed by the International Baccalaureate Organization. International Baccalaureate, Baccalaureát International, Bachillerato Internacional and IB are registered trademarks owned by the International Baccalaureate Organization.Number
Natural numbers
Integers
Index notation
Order of operations
Absolute value
Square numbers and square roots
Primes and composites
Highest common factor
Lowest common multiple
Review set 1A
Review set 1BSets and Venn diagrams
Sets
Complement of a set
Intersection and union
Venn diagrams
Problem solving with Venn diagrams
Review set 2A
Review set 2BReal numbers and ratio
Fractions
Operations with fractions
Decimal numbers
Operations with decimal numbers
Rational numbers
Irrational numbers
Ratio
Review set 3A
Review set 3BAlgebraic operations
Algebraic notation
The language of mathematics
Collecting like terms
Generalising arithmetic
Algebraic substitution
Algebraic products
Algebraic fractions
Review set 4A
Review set 4BPercentage
Percentage
Expressing one quantity as a percentage of another
Finding a percentage of a quantity
The unitary method in percentage
Percentage increase and decrease
Finding the original amount
Simple interest
Review set 5A
Review set 5BInterpreting tables and graphs
Interpreting tables
Interpreting graphs
Line graphs
Travel graphs
Review set 6A
Review set 6BLaws of algebra
Index laws
Expansion laws
The zero index law
The negative index law
The distributive law
The product (a + b)(c + d)
Perfect square expansion
Difference of two squares
Review set 7A
Review set 7BEquations
Solutions of an equation
Linear equations
Maintaining balance
Inverse operations
Algebraic flowcharts
Solving equations
Equations with a repeated unknown
Review set 8A
Review set 8BThe geometry of polygons
Review of geometrical facts
Triangles
Isosceles triangles
Quadrilaterals
Angles of an n-sided polygon
Review set 9A
Review set 9BRadicals and Pythagoras
Square roots
Solving x² = k
Pythagoras' theorem
The converse of Pythagoras' theorem
Problem solving using Pythagoras
3-dimensional problems
Cube roots
Review set 10A
Review set 10BLength and area
Length
Perimeter
Circumference
Area
Area formulae
Areas of circles and ellipses
Areas of composite figures
Review set 11A
Review set 11BAlgebra: patterns and formulae
Geometric patterns
Number crunching machines
Substituting into formulae
Using patterns
Practical problems
Number sequences
Review set 12A
Review set 12BFurther measurement
Surface area
Volume
Capacity
Review set 13A
Review set 13BCoordinate geometry
The Cartesian plane
Linear relationships
Gradient
Axes intercepts
The equation of a line
Graphing lines from equations
Vertical and horizontal lines
Finding equations from graphs
Review set 14A
Review set 14BSimultaneous equations
Trial and error solution
Graphical solution
Solution by equating values of y
Solution by substitution
Solution by elimination
Problem solving with simultaneous equations
Review set 15A
Review set 15BProbability
Probability
Sample space
Theoretical probability
Using 2-dimensional grids
Compound events
Experimental probability
Probabilities from tabled data
Expectation
Review set 16A
Review set 16BProblem solving
Writing problems as equations
Problem solving with algebra
Problem solving by search
Problem solving by working backwards
Miscellaneous problems
Review set 17A
Review set 17BSimilarity and congruence
Enlargements and reductions
Similar figures
Similar triangles
Problem solving
Congruent figures
Congruent triangles
Proof using congruence
Review set 18A
Review set 18BAlgebraic factorisation
Common factors
Factorising with common factors
Difference of two squares factorising
Perfect square factorisation
Factorising quadratic trinomials
Miscellaneous factorisation
Review set 19A
Review set 19BStatistics
Categorical data
Numerical data
Grouped data
Measuring the centre and spread
Comparing numerical data
Data collection
Review set 20A
Review set 20BQuadratic equations
Quadratic equations
The Null Factor law
Solving quadratic equations
Problem solving with quadratic equations
Review set 21A
Review set 21BTrigonometry
Scale diagrams in geometry
Labelling right angled triangles
The trigonometric ratios
Finding side lengths
Finding angles
Problem solving with trigonometry
Review set 22A
Review set 22BIntroduction to networks
Network diagrams
Constructing networks
Topologically equivalent networks
Precedence networks
Counting pathways
Review set 23A
Review set 23BAnswers
Index