Maths in the Fast Lane is a maths text book specifically for students capable of faster progress through Years 7 and 8 mathematics, providing greater depth, challenge and understanding. All the content, explanations and exercises a student needs for maths in Year 7 and Year 8, but with a lot more:
§ each topic is treated as a single unit so that students can move through the topic at their own pace, without having to change to another book
§ for each topic there are additional problems, extension exercises and investigations to provide greater challenge and enrichment for more able students
§ relationships between topic areas are developed, leading to a better understanding and appreciation of mathematics
§ an approach aimed at developing and encouraging mathematical aptitude and interest
Maths in the Fast Lane can be used as a standalone text or in conjunction with the standard class text, and is particularly suitable for:
§ individuals or groups of students who are able to move faster than the rest of the class and who will benefit from extra challenge and enrichment
§ accelerated classes where Year 7 and 8 are being completed in one year
Alice Thomas was formerly Head of Mathematics at Meriden School with special experience teaching talented students. She is a member of the Australian Maths Trust and writes problems for the Mathematics Challenge for Young Australians.
Maths in the Fast Lane Contents
1 THE NUMBER SYSTEM
 History of numbers
 The HinduArabic system
 Place value
 Operations with numbers
 Nondecimal numbers
 Extension I
 Review I
2 DIRECTED NUMBERS
 The number line
 Operations with negative numbers
 Addition and subtraction of directed numbers
 Multiplication and division of directed numbers
 Order of operations
 Extension 2
 Review 2
3 SETS AND NUMBER THEORY
 Sets and set language
 Special sets of numbers
 Multiples and factors
 Square roots and cube roots
 Extension 3
 Review 3
4 FRACTIONS
 Fractions as division Simplifying fractions
 Equivalent fractions
 Improper fractions and mixed numbers
 Ordering fractions
 Adding and subtracting fractions
 Multiplying fractions
 Reciprocals
 Dividing fractions
 Summary of rules for operations with fractions
 Fractions of quantities
 Extension 4
 Review 4
5 DECIMALS
 Another way of writing fractions
 Adding and subtracting decimals
 Multiplying and dividing decimals by powers of 10
 Multiplying decimals Dividing decimals
 Recurring decimals
 Approximations
 Expressing fractions as decimals
 Extension 5
 Review 5
6 INTRODUCTION TO ALGEBRA
 Pronumerals and variables
 Algebraic patterns
 Simplifying algebraic expressions
 Terms in an algebraic expression
 Extension 6
 Review 6
7 FURTHER ALGEBRA
 Formulas
 Creating formulas
 Index notation and algebra
 HCF and LCM of algebraic expressions
 The distributive law
 Extension 7
 Review 7

8 EQUATIONS
 Solving equations
 A formal method for solving equations
 Using equations to solve problems
 Equations with two pronumerals
 Extension 8
 Review 8
9 MEASUREMENT, RATIO, RATES
 Measurement systems
 Ratio Rates
 Extension 9 Review 9
10 GEOMETRY OF ANGLES, LINES AND TRIANGLES
 Definitions and notation
 Angles Definitions, axioms and theorems
 Triangles Reasoning in geometry
 Geometrical proofs
 Extension 10
 Review 10
11 MORE ABOUT TRIANGLES
 Area of a triangle
 Pythagoras' theorem
 Extension 11
 Review 11
12 FURTHER TRIANGLES
 Constructions
 Congruent triangles
 Similar figures
 Extension 12
 Review 12
13 PERCENTAGES
 Review of operations with fractions
 Percentages
 Working with percentages
 Extension 13
 Review 13
14 STATISTICS AND GRAPHS
 Data collection
 Analysing data
 Graphs
 Misleading graphs
 Extension 14
 Review 14
15 TWODIMENSIONAL SHAPES
 Translation, reflection and rotation
 Symmetry
 Quadrilaterals
 Constructions
 Perimeters and areas
 Length of circumference
 Area of a circle
 Extension 15
 Review 15
16 THREEDIMENSIONAL SHAPES
 Solids
 Volumes of right prisms
 Models to make
 Extension 16
 Review 16
 Answers
