Mathematics for the International Student 7 (MYP 2)

Textbook. — 2nd edition. — Australia: Haese Mathematics, 2014. — 456 p.Michael Haese, Sandra Haese, Mark Humphries, Edward Kemp, Pamela Vollmar - Mathematics for the International Student 7 (MYP 2) (2nd edition)MYP 2 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 7th Grade (or Year 7) 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.Whole Numbers
The number system
Number strategies
Rounding numbers
Estimation
Operating with numbers
Index notation
Squares and cubes
Order of operations
Review set 1A
Review set 1B
Angles and Lines
Points and lines
Measuring and classifying angles
Angle properties
Angle pairs
Parallel lines
Geometric construction
Review set 2A
Review set 2B
Positive and Negative Numbers
Opposites
The number line
Adding and subtracting negatives
Multiplying negative numbers
Dividing negative numbers
Combined operations
Using your calculator
Review set 3A
Review set 3B
Properties of Numbers
Divisibility
Factors
Multiples
Prime and composite numbers
Roots
Review set 4A
Review set 4B
Fractions
Common fractions
Fractions as division
Proper and improper fractions
Placing fractions on a number line
Equal fractions and simplifying
Comparing fractions
Adding and subtracting fractions
Multiplying fractions
Reciprocals
Dividing fractions
Evaluating fractions using a calculator
Problem solving
Review set 5A
Review set 5B
Decimal Numbers
Place value
Converting between decimals and fractions
Rounding decimal numbers
Placing decimal numbers on a number line
Comparing decimal numbers
Adding and subtracting decimal numbers
Multiplying and dividing by powers of
Multiplying decimal numbers
Dividing decimal numbers
Review set 6A
Review set 6B
Algebraic Expressions
Writing algebraic expressions
Key words in algebra
Equal algebraic expressions
Collecting like terms
Algebraic products
Evaluating algebraic expressions
Review set 7A
Review set 7B
Percentage
Understanding percentages
Interchanging number forms
One quantity as a percentage of another
Finding a percentage of a quantity
Percentage increase or decrease
Finding a percentage change
Business applications
Review set 8A
Review set 8B
Equations
Equations
Solving simple equations
Maintaining balance
Inverse operations
Algebraic flowcharts
Solving equations
Equations with a repeated variable
Word problems
Review set 9A
Review set 9B
Polygons
Polygons
Triangles
Angles of a triangle
Isosceles triangles
Quadrilaterals
Angles of a quadrilateral
Review set 10A
Review set 10B
Measurement: Length and Area
Length
Perimeter
Area
Areas of polygons
Areas of composite figures
Review set 11A
Review set 11B
Coordinate Geometry
Number grids
Positive and negative coordinates
Plotting points from a table of values
Graphing straight lines
Horizontal and vertical lines
Review set 12A
Review set 12B
Further Measurement
Volume
Volume formulae
Capacity
Connecting volume and capacity
Mass
The relationship between units
Time
Time calculations
Time zones
Review set 13A
Review set 13B
Ratio
Ratio
Writing ratios as fractions
Equal ratios
Problem solving using ratios
Using ratios to divide quantities
Scale diagrams
Review set 14A
Review set 14B
Probability
Describing probability
Assigning numbers to probabilities
Sample space
Theoretical probability
Complementary events
Review set 15A
Review set 15B
Solids
Solids
Nets of solids
Drawing rectangular solids
Views of solids
Review set 16A
Review set 16B
Circles
Circles
Circumference
Area of a circle
Volume of a cylinder
Review set 17A
Review set 17B
Statistics
Categorical data
Comparing categorical data
Numerical data
Measuring the centre and spread
Data collection
Review set 18A
Review set 18B
Transformations
Translations
Reflections and line symmetry
Rotations and rotational symmetry
Combinations of transformations
Review set 19A
Review set 19B
Rates
Rates
Speed
Density
Unit cost
Exchange rates
Converting rates
Review set 20A
Review set 20B
Answers
Index