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 fourth book in our new Middle Years series for international schools (for use with MYP 4, approx. Grade/Year 9).
This book may also be used as a general textbook at about Grade 9 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 content - email firstname.lastname@example.org.
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 4 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.
|Graphics calculator instructions||9|
|C||Secondary function and alpha keys||15|
|G||Working with functions||21|
|I||Two variable analysis||27|
|1||Algebra (notation and equations)||29|
|G||Money and investment problems||45|
|Review set 1A||49|
|Review set 1B||50|
|D||Scientific notation (Standard form)||63|
|E||Rational (fractional) indices||66|
|Review set 2A||69|
|Review set 2B||70|
|3||Algebraic expansion and simplification||71|
|A||Collecting like terms||72|
|C||The distributive law||75|
|D||The product (a + b)(c + d)||76|
|E||Difference of two squares||78|
|F||Perfect squares expansion||80|
|H||The binomial expansion||84|
|Review set 3A||85|
|Review set 3B||86|
|A||Radicals on a number line||88|
|B||Operations with radicals||89|
|C||Expansions with radicals||93|
|D||Division by radicals||96|
|Review set 4A||99|
|Review set 4B||100|
|5||Sets and Venn diagrams||101|
|B||Special number sets||104|
|C||Set builder notation||105|
|D||Complement of sets||106|
|Review set 5A||115|
|Review set 5B||116|
|A||The distance between two points||119|
|C||Gradient (or slope)||124|
|E||Using coordinate geometry||129|
|F||Vertical and horizontal lines||131|
|G||Equations of straight lines||132|
|H||The general form of a line||136|
|I||Points on lines||138|
|J||Where lines meet||139|
|Review set 6A||141|
|Review set 6B||142|
|B||Length and perimeter||149|
|E||Volume and capacity||167|
|Review set 7A||174|
|Review set 7B||175|
|A||Factorisation by removal of common factors||178|
|B||Difference of two squares factorisation||180|
|C||Perfect square factorisation||182|
|D||Factorising expressions with four terms||183|
|E||Quadratic trinomial factorisation||184|
|G||Factorisation of ax2+bx+c (a ≠ 1)||186|
|Review set 8A||191|
|Review set 8B||191|
|A||Discrete numerical data||195|
|B||Continuous numerical data||199|
|C||Measuring the middle of a data set||201|
|D||Measuring the spread of data||206|
|F||Grouped continuous data||212|
|Review set 9A||217|
|Review set 9B||217|
|B||Probabilities from data||222|
|F||Using 2-dimensional grids||229|
|H||Events and Venn diagrams||233|
|Review set 10A||239|
|Review set 10B||240|
|Review set 11A||265|
|Review set 11B||265|
|A||Using scale diagrams||268|
|C||The trigonometric ratios||270|
|D||Trigonometric problem solving||275|
|F||3-dimensional problem solving||282|
|Review set 12A||285|
|Review set 12B||286|
|A||Substituting into formulae||290|
|D||Formulae by induction||298|
|Review set 13A||301|
|Review set 13B||302|
|14||Comparing numerical data||303|
|C||A statistical project||311|
|Review set 14A||312|
|Review set 14B||313|
|D||Enlargements and reductions||329|
|Review set 15A||337|
|Review set 15B||338|
|A||Quadratic equations of the form x2=k||341|
|B||The Null Factor law||342|
|C||Solution by factorisation||343|
|D||Completing the square||346|
|Review set 16A||351|
|Review set 16B||352|
|A||Linear simultaneous equations||354|
|C||Non-linear simultaneous equations||362|
|Review set 17A||365|
|Review set 17B||365|
|A||Matrix size and construction||368|
|C||Addition and subtraction of matrices||372|
|F||Matrices using technology||378|
|Review set 18A||380|
|Review set 18B||381|
|B||Graphs of quadratic functions||387|
|C||Using transformations to sketch quadratics||391|
|D||Graphing by completing the square||393|
|G||Maximum and minimum values of quadratics||399|
|Review set 19A||401|
|Review set 19B||402|
|20||Tree diagrams and binomial probabilities||403|
|A||Sample spaces using tree diagrams||404|
|B||Probabilities from tree diagrams||405|
|Review set 20A||416|
|Review set 20B||417|
|A||Evaluating algebraic fractions||420|
|B||Simplifying algebraic fractions||421|
|C||Multiplying and dividing algebraic fractions||427|
|D||Adding and subtracting algebraic fractions||429|
|E||More complicated fractions||432|
|Review set 21A||433|
|Review set 21B||434|
|22||Other functions: their graphs and uses||435|
|B||Graphing simple exponential functions||437|
|E||Simple rational functions||444|
|F||Optimisation with rational functions||447|
|Review set 22A||450|
|Review set 22B||451|
|B||Lengths of vectors||456|
|E||Multiplying vectors by a number||463|
|G||The direction of a vector||467|
|H||Problem solving by vector addition||469|
|Review set 23A||471|
|Review set 23B||472|
|A||Review of facts and theorems||475|
|E||Problem solving with similar triangles||492|
|F||The midpoint theorem||494|
|Review set 24A||498|
|Review set 24B||499|
|25||Non-right angled triangle trigonometry||501|
|A||The unit quarter circle||502|
|C||Area of a triangle using sine||507|
|D||The sine rule||508|
|E||The cosine rule||512|
|F||Problem solving with the sine and cosine rules||514|
|Review set 25A||516|
|Review set 25B||517|
|Review set 26A||CD|
|Review set 26B||CD|
|27||Two variable analysis||CD|
|B||Pearson’s correlation coefficient, r||CD|
|C||Line of best fit by eye||CD|
|Review set 27A||CD|
|Review set 27B||CD|
|C||Constructing truth tables||CD|
|Review set 28A||CD|
|Review set 28B||CD|
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 9th Grade (or Year 9) level in classes where students are expected to complete a rigorous course in Mathematics. It is the fourth 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 IB 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. The text is not 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.
To avoid producing a book that would be too bulky for students, we have presented these chapters on the CD as printable pages:
The above were selected because the content could be regarded as extension material for most 9th Grade (or Year 9) students.
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.