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Maths in the Fast Lane

$36.95

Stock: Available

Product Code: 978-1-875695-88-1

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.

 Maths in the Fast Lane Contents  

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

 

 

 

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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