A completely new text in the Essential Mathematics Series for students needing additional support. This is a mainstream text covering all of the concepts, skills and applications of the CSF II at Year 9. The innovative coordinated system of worked examples and exercises ensures success and generates confidence. A focus on maintaining key skills and understanding fundamental mathematical terms are features of this book. A pivotal alternative mainstream text that allows students to progress to VCE Mathematics courses via Essential Mathematics 10: The CSF 11 Course or Essential Mathematics Gold 10: The CSF 11 Course.

 

This book is part of a book series called Essential Mathematics .

There are 360 pages in this book. This book was published 2003 by Cambridge University Press .

David Robertson, author of `The Dawkins Letters' and `Magnificent Obsession', is a well-known pastor and apologist who is passionate about engaging culture with the message of Christ. Dr Michael Evans is Head of Mathematics at Scotch College and also actively involved in the Victorian Curriculum and Assessment Authority. His interest in mathematics extends to the Mathematics Olympiad Team. David Greenwood teaches at Scotch College and has special expertise in the creative use of graphics calculators. Professor Peter Jones from Swinburne University has taken a keen interest in secondary school mathematics and has also had a key role in the development of the new course of study. Dr Kay Lipson's experience extends through secondary and tertiary courses. She is currently a lecturer in statistics at Swinburne University. David Greenwood is the Head of Mathematics at Trinity Grammar School and has also taught mathematics for many years at Scotch College. He is an experienced author of mathematics and technology texts which apply to all secondary levels. He has presented at many conferences and run a number of workshops outlining the implementation of VELS, and the use of technology including graphics calculators and dynamic geometry software. David Robertson is the Head of Mathematics and VCE coordinator at Mowbray College. He has been an author for the last 10 years, and a teacher for the last 26 years in both the state and private school system. He has written two series of books in the Maths area, and also currently teaches Mathematics to students in Years 7 - 12. Georgia Sotiriou has 25 years of experince teaching year 7 - 12 mathematics, and in this time she has been the Maths Coordinator, Year Level Coordinator and VCE Coordinator across a number of schools. For many years she was a member of the VCAA CAT setting panel for Maths Methods as well as a VCAA examiner in Maths Methods and Specialist Maths. She has also been a member of the Monash International College Mathematics Examination Panel, and has authored many Maths texts. She currently teacher at Melbourne Girls College, and is responsible for the Maths Task Centre. Voula Sotiriou is currently Senior Mathematics teacher at Taylors College. She is a former Head of Mathematics at a leading Catholic school and has been an examiner and reviewer in VCE Mathematics for the VCAA. She is a highly experienced author having published both junior and senior Mathematics texts in Victoria.

This book has the following chapters: Introduction; 1 Computation skills: 1. 1 Order of operations, 1. 2 Estimation, 1. 3 Negative numbers - addition and subtraction, 1. 4 Negative numbers - multiplication and division, 1. 5 Fractions and ratios, 1. 6 Applications of ratio, 1. 7 Percentages, 1. 8 Percentage applications - cost price and selling price, 1. 9 Discount and commission, Investigation - Fractions and ratios, Investigation - Investment, Chapter review; 2 Indices and scientific notation: 2. 1 Index form (exponential notation), 2. 2 Index laws 1 and 2, 2. 3 Index laws 3 and 4, 2. 4 Index laws 5 and 6, 2. 5 Negative indices, 2. 6 Scientific notation or standard form, 2. 7 Calculators#$ calculations and scientific notation, Investigation - Squares in a chessboard, Chapter review; 3 Drawing and making shapes: 3. 1 Angles, 3. 2 Constructing angles, 3. 3 Parallel lines, 3. 4 Triangles and their properties, 3. 5 Constructing unique triangles, 3. 6 Congruent triangles, 3. 7 Quadrilaterals, 3. 8 Solid figures, 3. 9 Nets, 3. 10 Two-dimensional representations of solids, Investigation - Complex designs, Investigation - Where s the windmill?, Chapter review; 4 Data and statistics: 4. 1 Types of data, 4. 2 Collecting data, 4. 3 Column graphs, 4. 4 More column graphs, 4. 5 Histograms, 4. 6 Dot plots, 4. 7 Stem and leaf plots, 4. 8 The mean#$ mode and range (ungrouped data), 4. 9 The mean and mode from frequency tables, Investigations - Collecting and interpreting statistics, Sports statistics, Chapter review; 5 Algebra: 5. 1 Writing algebraic expressions, 5. 2 Simplifying algebraic expressions - addition and subtraction, 5. 3 Simplifying algebraic expressions - multiplication and division, 5. 4 The distributive law, 5. 5 Factorising by common factors, 5. 6 Linear equations and backtracking, 5. 7 Solving linear equations using inverse operations, 5. 8 Setting up equations, 5. 9 Working with brackets, 5. 10 Inequations, Investigation - Amazing squares, Investigation - Hexagon fences, Chapter review; 6 Linear relations: 6. 1 Plotting straight-line graphs, 6. 2 Sketching linear relations using the two-intercept method, 6. 3 Special lines - lines with one intercept, 6. 4 Gradient, 6. 5 Gradient#$ intercepts and y = mx + c, 6. 6 Applications using straight lines, 6. 7 Rates - tables and formulas, 6. 8 Rates and conversion graphs, 6. 9 Rates and travel graphs, Investigation - The longest jump, Investigation - International system of units, Chapter review; 7 Length#$ area and volume: 7. 1 Length and perimeter, Investigation - Perimeters, 7. 2 Area, 7. 3 Further problems involving area, 7. 4 Circles, 7. 5 Composite shapes with circles, 7. 6 Total surface area, 7. 7 Total surface area of cylinders, 7. 8 Volume of prisms, 7. 9 Further volume problems, 7. 10 Estimation, 7. 11 Conversion of units, Investigation - Depth, Chapter review; 8 Pythagoras theorem, 8. 1 The hypotenuse, 8. 2 Finding the lengths of sides other than the hypotenuse, 8. 3 Simple applications of Pythagoras theorem, 8. 4 Drawing right-angled triangles and further applications, 8. 5 Pythagoras in three dimensions, 8. 6 Pythagorean triads, Investigation - Pythagoras proof, Chapter review; 9 Statistics 2: 9. 1 Planning class intervals, 9. 2 Relative frequency, 9. 3 Cumulative frequency, 9. 4 Median (ungrouped data), 9. 5 Quartiles (ungrouped data), 9. 6 Box plots, 9. 7 Quartiles and box plots, 9. 8 Cumulative relative frequency, 9. 9 Cumulative frequency curves and percentiles, 9. 10 Quartiles, Investigations - Collecting and organising data, Gathering data - ruler catching, The median and the 50th percentile, Chapter review; 10 Probability: 10. 1 Chance, 10. 2 Long run proportion, 10. 3 Theoretical probability, 10. 4 Combined events and tables, 10. 5 Tree diagrams, 10. 6 Probabilities as odds, 10. 7 Experimenting with technology, Investigation - How many in the bag?, Chapter review; 11 Transformation: 11. 1 Translation, 11. 2 Rotation, 11. 3 Order of rotational symmetry, 11. 4 Reflection, 11. 5 Line of symmetry, Investigation - Finding the centre of rotation, Chapter review; 12 Algebra 2: 12. 1 Translati