The CD has our new ‘self-tutoring’ software. For every worked example in this book, a student can listen to a teacher’s voice explain each step in the worked example – ‘click’ anywhere in the worked example where you see the icon.
NB: Sample chapters do not have working links.
This is the second book in our new Middle Years series for international schools (for use with MYP 2, approx. Grade/Year 7).
This book may also be used as a general textbook at about Grade 7 level in schools where students are expected to complete a rigorous course in mathematics.
A URL may be made available so that teachers can preview the contents - email email@example.com.
The complete series comprises:
A feature of the accompanying CD is our new ‘self-tutoring’ software where a teacher’s voice explains each step in every worked example in the book. Click anywhere on any worked example where you see the icon to activate the self-tutoring software.
Other features include:
For a complete list of all the active links on the MYP 2 CD, click here.
The CD is ideal for independent study and revision. It also contains the full text of the book so that if students load it onto a home computer, they can keep the textbook at school and access the CD at home.
|A||The number system||11|
|D||Operating with numbers||15|
|E||Index or exponent notation||20|
|F||Squares and cubes||22|
|G||Order of operations||24|
|Review set 1A||28|
|Review set 1B||29|
|2||Angles, lines and parallelism||31|
|A||Points and lines||32|
|B||Measuring and classifying angles||35|
|Review set 2A||53|
|Review set 2B||55|
|3||Properties of numbers||57|
|B||Factors of natural numbers||61|
|C||Multiples of natural numbers||65|
|E||Roots of whole numbers||72|
|Review set 3A||74|
|Review set 3B||75|
|B||Operations with fractions||82|
|D||The unitary method with fractions||90|
|E||Square roots of fractions||91|
|Review set 4A||93|
|Review set 4B||94|
|5||Algebra: patterns and models||95|
|B||Number crunching machines||100|
|C||Substituting into formulae||104|
|Review set 5A||112|
|Review set 5B||113|
|B||Ordering decimal numbers||119|
|C||Adding and subtracting decimal numbers||121|
|D||Multiplying and dividing by powers of 10||122|
|E||Multiplying decimal numbers||125|
|F||Dividing decimal numbers||126|
|G||Terminating and recurring decimals||128|
|Review set 6A||134|
|Review set 6B||134|
|B||Interchanging number forms||138|
|C||One quantity as a percentage of another||141|
|D||Finding percentages of quantities||143|
|E||The unitary method in percentage||144|
|F||Percentage increase or decrease||145|
|G||Finding a percentage change||147|
|Review set 7A||155|
|Review set 7B||155|
|8||Algebra: expressions and evaluation||157|
|B||Key words in algebra||162|
|E||Evaluating algebraic expressions||168|
|Review set 8A||171|
|Review set 8B||171|
|9||Length and area||173|
|D||Areas of polygons||186|
|E||Areas of composite shapes||192|
|Review set 9A||195|
|Review set 9B||196|
|10||Algebra (expansion and factorisation)||199|
|A||The distributive law||200|
|B||Simplifying algebraic expressions||203|
|C||Brackets with negative coefficients||204|
|D||The product (a+b)(c+d)||205|
|F||Factorisation of algebraic expressions||207|
|Review set 10A||209|
|Review set 10B||210|
|Review set 11A||230|
|Review set 11B||231|
|12||Ratio and proportion||233|
|B||Writing ratios as fractions||236|
|E||Using ratios to divide quantities||245|
|G||Gradient or slope||253|
|Review set 12A||254|
|Review set 12B||255|
|D||Building and undoing expressions||263|
|F||Equations with a repeated unknown||267|
|Review set 13A||270|
|Review set 13B||271|
|B||Angles of a triangle||275|
|C||Angles of isosceles triangles||279|
|F||Angles of a quadrilateral||286|
|G||Interior angles of polygons||288|
|H||Deductive geometry (Extension)||290|
|Review set 14A||292|
|Review set 14B||293|
|15||The geometry of solids||295|
|B||Nets of solids||300|
|C||Drawing rectangular solids||305|
|D||Constructing block solids||309|
|Review set 15A||312|
|Review set 15B||313|
|A||Writing equations using symbols||316|
|B||Problem solving with algebra||318|
|E||Miscellaneous problem solving||322|
|F||Problem solving by search||324|
|G||Problem solving by working backwards||326|
|Review set 16A||328|
|Review set 16B||329|
|A||Properties of line graphs||332|
|B||Estimating from line graphs||334|
|E||Continuous and discrete graphs||341|
|F||Graphing linear relationships||344|
|Review set 17A||348|
|Review set 17B||349|
|A||Parts of a circle||352|
|C||Area of a circle||358|
|Review set 18A||364|
|Review set 18B||365|
|B||Assigning numbers to chance||370|
|D||Listing possible outcomes||375|
|G||Making probability generators||384|
|Review set 19A||385|
|Review set 19B||385|
|D||The mean, median and mode||401|
|Review set 20A||404|
|Review set 20B||406|
|B||Complement of a set||410|
|C||Intersection and union||412|
|F||Problem solving with Venn diagrams||419|
|G||Finding probabilities from Venn diagrams||421|
|Review set 21A||423|
|Review set 21B||424|
|Review set 22A||439|
|Review set 22B||440|
|A||Simplifying algebraic fractions||444|
|B||Multiplying algebraic fractions||445|
|C||Dividing algebraic fractions||446|
|D||Adding and subtracting algebraic fractions||447|
|Review set 23A||452|
|Review set 23B||453|
The interactive CD is ideal for independent study.
Students can revisit concepts taught in class and undertake their own revision and practice. The CD also has the text of the book, allowing students to leave the textbook at school and keep the CD at home.
By clicking on the relevant icon, a range of new interactive features can be accessed:
SELF TUTOR is a new exciting feature of this book. The icon on each worked example denotes an active link on the CD.
Simply ‘click’ on the (or anywhere in the example box) to access the worked example, with a teacher’s voice explaining each step necessary to reach the answer.
Play any line as often as you like. See how the basic processes come alive using movement and colour on the screen.
Ideal for students who have missed lessons or need extra help.
The International Baccalaureate Middle Years Programme focuses teaching and learning through five areas of interaction:
The Areas of Interaction are intended as a focus for developing connections between different subject areas in the curriculum and to promote an understanding of the interrelatedness of different branches of knowledge and the coherence of knowledge as a whole.
In an effort to assist busy teachers, we offer the following printable pages of ideas for projects and investigations:
This book may 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. It is the second book in our Middle Years series ‘Mathematics for the International Student’.
In terms of the IB Middle Years Programme (MYP), our series does not pretend to be a definitive course. In response to requests from teachers who use ‘Mathematics for the International Student’ at Diploma level, we have endeavoured to interpret their requirements, as expressed to us, for a series that would prepare students for the Mathematics courses at Diploma level. We have developed the series independently of the International Baccalaureate Organization (IBO) in consultation with experienced teachers of IB Mathematics. Neither the series nor this text is endorsed by the IBO.
In regard to this book, it is not our intention that each chapter be worked through in full. Time constraints will not allow for this. Teachers must select exercises carefully, according to the abilities and prior knowledge of their students, to make the most efficient use of time and give as thorough coverage of content as possible.
We understand the emphasis that the IB MYP places on the five Areas of Interaction and in response there are links on the CD to printable pages which offer ideas for projects and investigations to help busy teachers (see p. 5).
Frequent use of the interactive features on the CD should nurture a much deeper understanding and appreciation of mathematical concepts. The inclusion of our new software (see p. 4) is intended to help students who have been absent from classes or who experience difficulty understanding the material.
The book contains many problems to cater for a range of student abilities and interests, and efforts have been made to contextualise problems so that students can see the practical applications of the mathematics they are studying.
We welcome your feedback.