Maths
in the Fast Lane
by Alice Thomas & Margaret Jordan
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by Alice Thomas & Margaret Jordan |
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 stand-alone 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.
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Maths in the Fast Lane Contents
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1 THE NUMBER SYSTEM History of numbers The Hindu-Arabic system Place value Operations with numbers Non-decimal 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
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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 TWO-DIMENSIONAL SHAPES Translation, reflection and rotation Symmetry Quadrilaterals Constructions Perimeters and areas Length of circumference Area of a circle Extension 15 Review 15
16 THREE-DIMENSIONAL SHAPES Solids Volumes of right prisms Models to make Extension 16 Review 16 Answers
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