دانلود کتاب New signpost mathematics enhanced 9. Stage 5.1-5.3

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Home page file://../../start.pdfHow to... file://../../HowTo.pdfCompanion Website - on CD file://../CompanionWebsite/starthere.htmlCompanion Website - live http://www.pearsonplaces.com.au/places/secondary_places/maths_place/maths_student_lounges/new_signpost_mathematics_9_51_53_enhanced.aspxStudent book Contents Features of New Signpost Mathematics Enhanced Treatment of Outcomes Metric Equivalents The Language of Mathematics Algebra Card Chapter 1 Basic Skills and Number 1:01 The language of mathematics 1:02 Diagnostic tests A Integers B Fractions C Decimals D Percentages 1:03 Conversion facts you should know What was the prime minister’s name in 1978? 1:04 Rational numbers 1:05 Recurring decimals Try this with repeating decimals Speedy addition 1:06 Simplifying ratios 1:07 Rates Comparing speeds 1:08 Significant figures 1:09 Approximations 1:10 Estimation Take your medicine! 1:11 Angles Review 1:12 Triangles and quadrilaterals Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 2 Working Mathematically 2:01 Solving routine problems A Rates B Ratio C Dividing a quantity in a given ratio Mixing drinks D Percentages E Measurement 2:02 Solving non-routine problems What nationality is Santa Claus? Line marking 2:03 Using Venn diagrams (extension) Venn diagrams What kind of breakfast takes an hour to finish? The Syracuse Algorithm Maths terms • Revision assignment • Working mathematically Chapter 3 Algebraic Expressions 3:01 Generalised arithmetic Let’s play with blocks 3:02 Substitution The history of algebra 3:03 Simplifying algebraic expressions 3:04 Algebraic fractions A Addition and subtraction B Multiplication and division Try this maths-word puzzle 3:05 Simplifying expressions with grouping symbols What is taken off last before you get into bed? 3:06 Binomial products 3:07 Special products A Perfect squares The square of a binomial B Difference of two squares 3:08 Miscellaneous examples Patterns in products Using special products in arithmetic Maths terms • Diagnostic test • Revisionassignment • Working mathematically Chapter 4 Probability 4:01 Describing your chances Throwing dice 4:02 Experimental probability Tossing a coin Chance experiments 4:03 Theoretical probability Computer dice Chance happenings 4:04 The addition principle for mutually exclusive events Probability: An unusual case What are Dewey decimals? Chance in the community Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 5 Deductive Geometry 5:01 Deductive reasoning in numerical exercises A Exercises using parallel lines B Exercises using triangles C Exercises using quadrilaterals 5:02 Polygons The angle sum of a polygon The exterior angle sum of a convex polygon Regular polygons and tessellations Spreadsheet The game of Hex 5:03 Deductive reasoning in non-numerical exercises 5:04 Congruent triangles 5:05 Proving two triangles congruent 5:06 Using congruent triangles to find unknown sides and angles 5:07 Deductive geometry and triangles 5:08 Deductive geometry and quadrilaterals Theorems and their converses What do you call a man with a shovel? 5:09 Pythagoras’ theorem and its converse Proving Pythagoras’ theorem Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 6 Indices and Surds 6:01 Indices and the index laws Exploring index notation Family trees 6:02 Negative indices Zero and negative indices 6:03 Fractional indices Why is a room full of married people always empty? Reasoning with fractional indices 6:04 Scientific (or standard) notation Multiplying and dividing by powers of 10 6:05 Scientific notation and the calculator Using scientific notation 6:06 The real number system Proof that square root is irrational f-stops and square root 6:07 Surds 6:08 Addition and subtraction of surds 6:09 Multiplication and division of surds Iteration to find square roots 6:10 Binomial products 6:11 Rationalising the denominator What do Eskimos sing at birthday parties? Rationalising binomial denominators Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 7 Measurement 7:01 Perimeter Staggered starts Skirting board and perimeter 7:02 Review of area Why is it so noisy at tennis? Covering floors 7:03 Surface area of prisms and cylinders How did the boy know that he had an affinity with the sea? 7:04 Surface area of composite solids Truncated cubes 7:05 Volume of prisms, cylinders and composite solids Perimeter, area and volume 7:06 Practical applications of measurement Wallpapering rooms Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 8 Equations, Inequations and Formulae 8:01 Equivalent equations 8:02 Equations with grouping symbols If I have 7 apples in one hand and 4 in the other, what have I got? Solving equations using a spreadsheet 8:03 Equations with fractions (1) Who holds up submarines? 8:04 Equations with fractions (2) Equations with pronumerals in the denominator 8:05 Solving problems using equations Who ‘dunnit’? 8:06 Inequations Operating on inequations Read carefully (and think!) 8:07 Formulae: Evaluating the subject Spreadsheet formulae 8:08 Formulae: Equations arising from substitution 8:09 Solving literal equations (1) 8:10 Solving literal equations (2) 8:11 Solving problems with formulae Why are cooks cruel? Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 9 Consumer Arithmetic 9:01 Working for others 9:02 Extra payments Jobs in the papers 9:03 Wage deductions 9:04 Taxation Income tax returns What is brought to the table, cut, but never eaten? 9:05 Budgeting 9:06 Best buy, shopping lists and change 9:07 Goods and services tax (GST) Shopper dockets 9:08 Ways of paying and discounts The puzzle of the missing dollar 9:09 Working for a profit Let’s plan a disco Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 10 Coordinate Geometry 10.01 The distance between two points 10.02 The midpoint of an interval 10.03 The gradient of a line Gradients in building 10.04 Graphing straight lines What is the easiest job in a watch factory? 10.05 The gradient–intercept form of a straight line: y=mx+b What does y=mx+b tell us? 10.06 The equation of a straight line, given point and gradient 10.07 The equation of a straight line, given two points 10.08 Parallel and perpendicular lines 10.09 Graphing inequalities on the number plane Why did the banana go out with a fig? Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 11 Factorising Algebraic Expressions 11:01 Factorising using common factors 11:02 Factorising by grouping in pairs 11:03 Factorising using the difference of two squares The difference of two cubes 11:04 Factorising quadratic trinomials How much logic do you have? 11:05 Factorising further quadratic trinomials Another factorising method for harder trinomials 11:06 Factorising: Miscellaneous types What did the caterpillar say when it saw the butterfly? 11:07 Simplifying algebraic fractions: Multiplication and division 11:08 Addition and subtraction of algebraic fractions Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 12 Statistics 12:01 Frequency and cumulative frequency 12:02 Analysing data (1) Codebreaking and statistics 12:03 Analysing data (2) Which hand should you use to stir tea? Adding and averaging 12:04 Grouped data The aging population Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 13 Simultaneous Equations Solving problems by ‘guess and check’ 13:01 The graphical method of solution Solving simultaneous equations using a graphics calculator What did the book say to the librarian 13:02 The algebraic method of solution A Substitution method B Elimination method 13:03 Using simultaneous equations to solve problems Breakfast time Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 14 Trigonometry 14:01 Right-angled triangles 14:02 Right-angled triangles: the ratio of sides 14:03 The trigonometric ratios 14:04 Trig. ratios and the calculator The exact values for the trig. ratio of 30°, 60° and 45° 14:05 Finding an unknown side 14:06 Finding an unknown angle 14:07 Miscellaneous exercises 14:08 Problems involving two right triangles What small rivers flow into the Nile? Maths terms • Diagnostic test • Revision assignment • Working mathematically Chapter 15 Graphs of Physical Phenomena 15:01 Distance/time graphs A Linear graphs Graphing coins Can you count around corners? B Non-linear graphs Rolling down an inclined plane 15:02 Relating graphs to physical phenomena Spreadsheet graphs Make words with your calculator Curves and stopping distances Maths terms • Diagnostic test • Revision assignment • Working mathematically Answers Answers to ID Cards Index Acknowledgements