Title | Chapter 5 |
---|---|

Tags | Water Multiplication Cartesian Coordinate System Elementary Mathematics Mathematical Notation |

File Size | 1.5 MB |

Total Pages | 32 |

Cover Imprint Contents Preface New Century Maths user’s guide Acknowledgements Features of this book 1 The history of numbers Start up 1-01 The ancient Egyptian number system 1-02 Australian Aboriginal number systems 1-03 The Babylonian number system 1-04 The Roman number system 1-05 The modern Chinese number system Working mathematically: Calendar month 1-06 The Hindu–Arabic number system 1-07 Expanded notation Mental skills 1A: Multiplying by a multiple of 10 1-08 The four operations Using technology: What is a spreadsheet? Working mathematically: Double-digit dice game Mental skills 1B: Dividing by a multiple of 10 1-09 Dividing by a two-digit number Working mathematically: Magic squares Using technology: Sorting data 1-10 Order of operations 1-11 The symbols of mathematics Working mathematically: The four 4s puzzle Brain bender Using technology: Fruit picking Power plus Chapter 1 review 2 Angles Start up 2-01 Naming angles 2-02 Measuring angles 2-03 Drawing angles 2-04 Classifying angles 2-05 Angle relationships 2-06 Vertically opposite angles 2-07 Angle geometry 2-08 Lines in geometry Mental skills 2: Changing the order 2-09 Alternate angles on parallel lines 2-10 Corresponding angles on parallel lines 2-11 Co-interior angles on parallel lines 2-12 Angles on parallel lines Using technology: Constructing angles using geometry software 2-13 Proving lines are parallel Power plus Chapter 2 review Mixed revision 1 3 Exploring numbers 3-01 Special number patterns Using technology: Developing number patterns Start up Working mathematically: Figurate numbers More types of numbers 3-02 Tests for divisibility 3-03 Factors Working mathematically: Factor path puzzle Mental skills 3: Calculating differences and making change 3-04 Prime and composite numbers Working mathematically: Goldbach's conjecture Working mathematically: More factor paths 3-05 Prime factors 3-06 Squares, cubes and roots Using technology: Absolute cell referencing Power plus Chapter 3 review 4 Solids Start up 4-01 Convex and non-convex solids 4-02 Nets of solids 4-03 Polyhedra Working mathematically: Stacking and packaging 4-04 Special solids 4-05 Classifying solids 4-06 Euler’s rule Mental skills 4: Estimating answers 4-07 Edges of a solid 4-08 The Platonic solids Working mathematically: Perpendicular, parallel and skew lines Working mathematically: Special solids 4-09 Drawing and building solids 4-10 Different views of solids Using technology: More spreadsheet formulas Power plus Chapter 4 review 5 Integers Start up 5-01 Number lines 5-02 Numbers above and below zero 5-03 Ordering integers 5-04 Adding and subtracting integers Mental skills 5A: Adding 8 or 9 5-05 Applying integers Using technology: Temperature ranges at Thredbo 5-06 Multiplying integers 5-07 Dividing integers 5-08 The four operations with integers Mental skills 5B: Subtracting 8 or 9 Working mathematically: Multiplying integers Using technology: Spreadsheet formulas involving integers 5-09 The number plane 5-10 The number plane with negative numbers Power plus Chapter 5 review 6 Patterns and rules Start up 6-01 Number rules from geometric patterns 6-02 Using pattern rules 6-03 The language of algebra 6-04 Tables of values 6-05 Finding the rule 6-06 Finding harder rules 6-07 Algebraic abbreviations Mental skills 6A: Doubling and halving numbers Using technology: Algebra and patterns 6-08 Finding rules for geometric patterns Using technology: Number patterns Working mathematically: Finding formulas 6-09 Substitution Working mathematically: Finding more formulas 6-10 Substitution with negative numbers Mental skills 6B: Multiplying and dividing by 4 or 8 Power plus Chapter 6 review Mixed revision 2 7 Decimals Start up 7-01 Place value 7-02 Understanding the point 7-03 Ordering decimals 7-04 Decimals and fractions Working mathematically: Decimal distances 7-05 Adding and subtracting decimals Working mathematically: Comparing heights Working mathematically: Decimals and powers of 10 7-06 Multiplying and dividing by powers of 10 7-07 Using estimation to multiply decimals Mental skills 7A: Multiplying an even number by 5 Working mathematically: Decimal places in multiplication answers 7-08 Multiplying decimals 7-09 Calculating change Working mathematically: Multiplication maze Using technology: Fruit and vegetables 7-10 Dividing decimals by NS4.3 whole numbers 7-11 Dividing decimals by decimals Mental skills 7B: Multiplying by 9, 11 or 12 Using technology: Calculations involving decimals Working mathematically: Back-to-front problems 7-12 Fractions and decimals 7-13 Rounding decimals Working mathematically: Rounding prices 7-14 Applying decimals Using technology: Rainfall figures Power plus Chapter 7 review 8 Length and area Start up 8-01 The metric system Working mathematically: Ancient measures The British Imperial system History of the metric system 8-02 Converting units of length 8-03 Reading measurement scales 8-04 The accuracy of measuring instruments Working mathematically: ‘Guess the length’ game Mental skills 8: The metric system Working mathematically: Measuring long distances 8-05 Estimating and measuring length 8-06 Perimeter 8-07 Area Working mathematically: The human lagoon 8-08 Converting units of area Working mathematically: Standing room only! Student space in a classroom Working mathematically: Areas of rectangles and triangles 8-09 Areas of squares, rectangles and triangles Using technology: Calculating area Using technology: Perimeter and areas 8-10 Areas of composite shapes Working mathematically: Area puzzles 8-11 Measuring large areas Working mathematically: Local areas Power plus Chapter 8 review 9 Geometrical figures Start up 9-01 Naming geometrical figures 9-02 Classifying polygons Working mathematically: Logos and designs 9-03 Classifying triangles Mental skills 9: Simplifying multiplication by factorising Working mathematically: Building with shapes 9-04 Constructing triangles 9-05 Classifying quadrilaterals Working mathematically: Shape puzzles 9-06 Constructing perpendicular and parallel lines 9-07 Constructing quadrilaterals Using technology: More spreadsheet formulas involving integers Power plus Chapter 9 review Mixed revision 3 10 Fractions and percentages Start up 10-01 Naming fractions 10-02 Highest common factor and lowest common multiple 10-03 Equivalent fractions 10-04 Simplifying fractions 10-05 Ordering fractions Working mathematically: Shaded fractions 10-06 Adding and subtracting fractions 10-07 Adding and subtracting mixed numerals 10-08 Finding a fraction of a quantity Mental skills 10: Commonly used fractions and decimals Working mathematically: Netball 10-09 Multiplying fractions 10-10 Dividing fractions Working mathematically: Than’s gorgeous garden Working mathematically: Fraction puzzles 10-11 Percentages and fractions 10-12 Percentages and decimals Using technology: Sorting students’ results 10-13 Converting percentages 10-14 Finding a percentage of a quantity Using technology: Calculating test marks as percentages Power plus Chapter 10 review 11 Volume, mass and time Start up Working mathematically: Comparing volumes 11-01 Volume Working mathematically: Building a cubic metre Volumes of rectangular prisms 11-02 Volume of a rectangular prism Working mathematically: What is your volume? 11-03 Capacity Working mathematically: Volume by displacement Using technology: Comparing volume and capacity of two dams 11-04 Mass Working mathematically: Mass of household objects Working mathematically: Investigating mass Mental skills 11: 24-hour time 11-05 Timelines Working mathematically: Timeline display 11-06 Converting units of time 11-07 Time calculations 11-08 Standard time 11-09 Australian standard times 11-10 Timetables Working mathematically: Round trip Using technology: Graphing winning times Working mathematically: Time puzzlers Power plus Chapter 11 review 12 Algebra Start up 12-01 Variables and expressions 12-02 Algebraic abbreviations 12-03 From words to algebraic expressions 12-04 Like terms Mental skills 12A: Multiplying by 5, 15, 25 or 50 12-05 Adding and subtracting like terms 12-06 Multiplying algebraic terms 12-07 Expanding expressions Working mathematically: Numerical expansions 12-08 Expanding and simplifying expressions Mental skills 12B: Dividing by 5, 15, 25 or 50 12-09 Substitution Using technology: Substitution Working mathematically: Generalised arithmetic Power plus Chapter 12 review 13 Interpreting graphs and tables Start up Working mathematically: Collecting graphs and tables 13-01 Picture graphs Column graphs and divided bar graphs Using technology: Creating graphs 13-03 Sector graphs Mental skills 13: Reading linear scales 13-04 Line graphs Working mathematically: Temperature graphs 13-05 Travel graphs and conversion graphs 13-06 Step graphs Working mathematically: Investigating graphs 13-07 Reading tables Power plus Chapter 13 review Mixed revision 4 General revision Appendix 1: Calculator skills Appendix 2: Glossary Answers Index

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